Dan did a total of 27/20 loads of laundry.
What is fraction?
A fraction is a numerical representation of a part of a whole or a ratio between two numbers, expressed as one number divided by another number and typically written with a horizontal line between the numerator and the denominator. The numerator represents the number of parts being considered, while the denominator represents the total number of equal parts that make up the whole or the total number of items being compared.
From the information given, we know that Dan did three loads of laundry on different days, with the following breakdown of the first load: 2/5 colored clothes.
To find out how many loads of laundry Dan did in total, we need to add up the number of loads he did on each day,
3/11 + 3/4 + 3/10
To add these fractions, we need to find a common denominator. In this case, the lowest common denominator is 220,
3/11 = 60/220
3/4 = 165/220
3/10 = 66/220
Now we can add the fractions,
60/220 + 165/220 + 66/220 = 291/220
This means that Dan did a total of 291/220 loads of laundry. However, this is not a practical or meaningful way to express the answer. We can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 11,
291/220 = (291 ÷ 11) / (220 ÷ 11) = 27/20
Therefore, Dan did a total of 27/20 loads of laundry.
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the resultant data are: forty mothers have taken the suspected drug during their pregnancies. of these mothers, 35 have delivered malformed infants. in addition, 10 other infants are born with malfunctions. the number of individuals who both did not take the drug and did not give birth to infants who were malformed was:
No. of individuals Suspected drug and didn't give birth to in infants malformed is 10.
Number of individuals who did not take the drug and did not give birth to malformed infants.
subtract the number of individuals who took the drug and gave birth to malformed infants.
The total number of mothers, and then subtract the number of infants born with malfunctions.
Total number of mothers = 40
Number of mothers who gave birth to malformed infants after taking the drug = 35
Number of infants born with malfunctions = 10
the number of mothers who did not take the
drug = 40 - 35 = 5
The number of infants born without malfunctions = Total number of infants - Number of infants born with
malfunctions = (40 - 35) + 5 = 10
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y+5=2(x+1) what is the X and Y intercept
Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by f(x) = 10x2 −19x + 6, where x is time in minutes. Which of the following equations will reveal the time in minutes when the trough is empty?
Therefore, the time in minutes when the trough is empty is approximately 0.313 minutes.
To find the time in minutes when the trough is empty, we need to solve the equation f(x) = 0, since f(x) represents the volume of water in the trough.
So, we need to solve the quadratic equation:
[tex]10x^2 - 19x + 6 = 0[/tex]
To solve this equation, we can use the quadratic formula:
[tex]x = (-b ± \sqrt(b^2 - 4ac)) / 2a[/tex]
where a = 10, b = -19, and c = 6.
Plugging in these values, we get:
[tex]x = (-(-19) ± \sqrt((-19)^2 - 4(10)(6))) / 2(10)[/tex]
[tex]x = (19 ± sqrt(241)) / 20[/tex]
So, the two solutions are:
[tex]x = (19 + \sqrt(241)) / 20 \approx1.807 minutes[/tex]
[tex]x = (19 - \sqrt(241)) / 20 \approx0.313 minutes[/tex]
However, only the second solution makes sense in this context, since the trough cannot be empty before we start draining the water. Therefore, the time in minutes when the trough is empty is approximately 0.313 minutes.
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The spinner shown is spun twice Use a tree diagram to record the sample space of the repeated experiment
Here is the tree diagram to represent the sample space of spinning the spinner twice:
sp1 - Possible outcomes of the first spin:
Red, Blue, Green
sp1 - Red
sp2 - Red Red, Red
sp2 - Blue Red, Blue
sp2 - Green Red, Green
sp1 - Blue
sp2 - Red Blue, Red
sp2 - Blue Blue, Blue
sp2 - Green Blue, Green
sp1 - Green
sp2 - Red Green, Red
sp2 - Blue Green, Blue
sp2 - Green Green, Green
So the full sample space would be:
{(Red, Red), (Red, Blue), (Red, Green),
(Blue, Red), (Blue, Blue), (Blue, Green),
(Green, Red), (Green, Blue), (Green, Green)}
Does this capture the correct sample space for spinning the spinner twice? Let me know if you need any clarification.
will give brainliest!!
Answer:
Remember SOHCAHTOA
SOH- Sin= Opposite/Hypotenuse
CAH- Cosine= Adjacent/Hypotenuse
TOA- Tangent= Opposite/Adjacent
sin Θ is 24/25
cos Θ is 7/25
tan Θ is 24/7
Step-by-step explanation:
If using the SOHCAHTOA method all you have to do is memorize your Pythagorean triples
Ex: 3,4,5
7,24,25
5,12,13
the area covered by the hour hand of a wall clock between time 4 : 26 and 6 : 50 is what percent of the area covered by it in 15 hours?
Step-by-step explanation:
From 4:26 to 6:50 is 2 hr and 24 in = 2 24/60 hrs = 2.4 hours
2.4 hrs is what percent of 15 hrs ?
2.4 / 15 * 100% = 16%
Any new purchases with a choice for exterior colors A, B, C, and D parentheses and three into your colors one, two, and three make an organized list unlock the first color combinations for the car
the first letter represents the exterior color, and the second number represents the interior color. So "A1" means exterior color A with interior color 1, "B2" means exterior color B with interior color 2, and so on.
A1
A2
A3
B1
B2
B3
C1
C2
C3
D1
D2
D3
Sure, here's an organized list of the first color combinations for the car with exterior colors A, B, C, and D, and interior colors 1, 2, and 3:
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2. A teacher wants to determine whether his students have mastered the material in their statistics unit. Each student completes a pretest before
are in the table.
Student Prefest Score Posifest Score
2125
72
75
82
85
90
86
78
84
87
82
80
78
84
84
92
91
81
84
86
86
The teacher's null hypothesis is that #p=0 while his alternative hypothesis is >0. Based on the data in the table and using a significance
The P-value is 0.003, so he must reject the null hypothesis.
What is the correct P-value and conclusion?To determine the correct answer, we need to perform a statistical hypothesis test.
The null hypothesis is that the mean difference between pretest scores and posttest scores (μd) is equal to 0. The alternative hypothesis is that the mean difference is greater than 0.
To perform this hypothesis test, we can use a paired-sample t-test, since we have two sets of scores from the same students. The formula for the t-statistic is: t = (Md - μd) / (sd / sqrt(n))
Using the data from the table, we can calculate the mean difference, standard deviation, and t-statistic as follows:
Mean difference (Md) = 84.33 - 81.33 = 3
Standard deviation (sd) = 2.622
t-statistic = (3 - 0) / (2.622 / sqrt(18)) = 3.13
To find the p-value, we need to look up the t-distribution with 17 degrees of freedom (since we have 18 paired observations) and a one-tailed test (since the alternative hypothesis is one-tailed). At a significance level of 0.01 and 17 degrees of freedom, the critical t-value is 2.567.
The p-value is the probability of getting a t-statistic as extreme or more extreme than the observed t-statistic, assuming the null hypothesis is true. From the t-distribution table, we can see that the p-value corresponding to a t-statistic of 3.13 with 17 degrees of freedom is approximately 0.003.
Since the p-value is less than the significance level of 0.01, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean difference between pretest scores and posttest scores is greater than 0, indicating that the students have mastered the material in their statistics unit.
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The americans with disabilities act states that ramps must have an angle less than or equal to 4.8 degree angle in a right triangle has a 1:12 ratio for the legs. Select all designs of a ramp that meet the americans with disabilities act requirements. Answers to pick from : Right triangle with legs 3 meters and 33 meters. Right triangle with legs 1 meters and 15 meters. Right triangle with legs 12 meters and 140 meters. Right triangle with legs 12 meters and 150 meters. right triangle with legs 24 meters and 240 meters.
Answers are ,Right triangle with legs 3 meters and 33 meters, Right triangle with legs 1 meter and 15 meters, Right triangle with legs 12 meters and 140 meters, Right triangle with legs 12 meters and 150
what is Right triangle ?
A right triangle is a triangle that has one angle equal to 90 degrees (a right angle). The other two angles are acute angles (less than 90 degrees). The side opposite to the right angle is called the hypotenuse, and the other two sides are called legs.
In the given question,
The ratio of the legs of the right triangle for a ramp should be 1:12, which means that for every 1 inch of rise, there should be 12 inches of ramp length. To calculate the angle of inclination, we can use the inverse tangent function, which gives us the angle whose tangent is equal to the ratio of the legs. The angle of inclination should be less than or equal to 4.8 degrees.
Let's calculate the angle of inclination for each ramp design:
Right triangle with legs 3 meters and 33 meters:
The ratio of the legs is 3:33, which simplifies to 1:11. The length of the ramp is 11 times the height of the rise. The angle of inclination is:
arctan(1/11) ≈ 4.76 degrees
The angle of inclination is less than or equal to 4.8 degrees, so this ramp design meets the requirements of the Americans with Disabilities Act.
Right triangle with legs 1 meter and 15 meters:
The ratio of the legs is 1:15. The length of the ramp is 15 times the height of the rise. The angle of inclination is:
arctan(1/15) ≈ 3.81 degrees
The angle of inclination is less than or equal to 4.8 degrees, so this ramp design also meets the requirements of the Americans with Disabilities Act.
Right triangle with legs 12 meters and 140 meters:
The ratio of the legs is 12:140, which simplifies to 3:35. The length of the ramp is 35 times the height of the rise. The angle of inclination is:
arctan(3/35) ≈ 4.56 degrees
The angle of inclination is less than or equal to 4.8 degrees, so this ramp design meets the requirements of the Americans with Disabilities Act.
Right triangle with legs 12 meters and 150 meters:
The ratio of the legs is 12:150, which simplifies to 2:25. The length of the ramp is 25 times the height of the rise. The angle of inclination is:
arctan(2/25) ≈ 4.62 degrees
The angle of inclination is less than or equal to 4.8 degrees, so this ramp design meets the requirements of the Americans with Disabilities Act.
Right triangle with legs 24 meters and 240 meters:
The ratio of the legs is 24:240, which simplifies to 1:10. The length of the ramp is 10 times the height of the rise. The angle of inclination is:
arctan(1/10) ≈ 5.71 degrees
The angle of inclination is greater than 4.8 degrees, so this ramp design does not meet the requirements of the Americans with Disabilities Act.
Therefore, the ramp designs that meet the requirements of the Americans with Disabilities Act are:
Right triangle with legs 3 meters and 33 meters.
Right triangle with legs 1 meter and 15 meters.
Right triangle with legs 12 meters and 140 meters.
Right triangle with legs 12 meters and 150 meters.
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Coach Sanchez is setting up a court for
a game of four-square. He has a
square space, with an area of 64
square feet. What is the longest side
length Coach Sanchez can make for
one side of the court?
Thus, coach Sanchez can only create a side length of 8 for one side of the court, which is the longest side length.
Explain about the square root:The factor of a number that, when multiplied by itself, equals the original number is known as the square root of the number. Practically speaking, determining a number's square root is the reverse of doing so to find its square.
Properties
A perfect square root corresponds to a perfect square number.The square root of an even perfect number is even.The square root of an odd perfect number is odd.You only need to find that square root of the area to determine the length of a side because we know that a square already has equal sides so the area is determined by two sides.
√64 = 8
Thus, coach Sanchez can only create a side length of 8 for one side of the court, which is the longest side length.
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Nancy placed 3 red pins and 12 yellow pins on the cork board. What percentage of the pins were red pins?
Answer:
25%
Step-by-step explanation:
We Know
Nancy placed 3 red pins and 12 yellow pins on the corkboard.
What percentage of the pins were red pins?
We Take
(3÷12) x 100 = 25%
So, 25% of the pins were red pins.
( -9, 7) and (4, 7)?
The equation of the line that passes through ( -9, 7) and (4, 7) is y = 7.
Calculating the linear equation of the pointsGiven that
( -9, 7) and (4, 7)
Since both points have the same y-coordinate of 7, we know that they lie on a horizontal line.
Using the point-slope formula, we can find the equation of the line that passes through (-9, 7) and has a slope of 0 (since it's a horizontal line):
y - y1 = m(x - x1)
y - 7 = 0(x - (-9))
y - 7 = 0
y = 7
So the equation of the line is y = 7.
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A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 7(1.06)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent? (4 points)
Part A: A reasonable domain to plot the growth function would be from d = 0 to d = 11.
Part B: The y-intercept of the graph of the function f(d) is 7
Part C: The average rate of change of the function f(d) from d = 4 to d = 11 is approximately 0.64 mm/day.
Domine and y-intercept of a function:
The domain of a function represents the set of input values for which the function is defined and can produce a meaningful output.
The y-intercept of a function represents the value of the function when the input is equal to zero.
The average rate of change of a function from x = a to x = b is given by the slope of the secant line passing through the points (a, f(a)) and (b, f(b)).
Here we have
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
=> f(d) = 7(1.06)^d
Since it is given that the radius of the algae was approximately 13.29 mm when the biologist concluded her study, we can set f(d) = 13.29
=> 13.29 = [tex]7(1.06)^{d}[/tex]
=> ln(13.29/7) = d ln(1.06)
=> d = ln(13.29/7)/ln(1.06) ≈ 11
Therefore, A reasonable domain to plot the growth function would be from d = 0 to d = 11.
Part B: The y-intercept of the graph of the function f(d) represents the value of the function when d = 0.
Substituting d = 0 into the given equation, we get:
f(0) = 7(1.06)⁰ = 7
Therefore, The y-intercept of the graph of the function f(d) is 7
Part C: The average rate of change of the function f(d) from d = 4 to d = 11 is given by the slope of the secant line passing through the points (4, f(4)) and (11, f(11)). Using the given equation, we can evaluate f(4) and f(11):
f(4) = 7(1.06)⁴ ≈ 8.84
f(11) = 7(1.06)¹¹ ≈ 13.29
The slope of the second line passing through these two points is:
Slope = (f(11) - f(4))/(11 - 4) = [ 13.29 - 8.84]/7 = 0.64
Therefore,
The average rate of change of the function f(d) from d = 4 to d = 11 is approximately 0.64 mm/day.
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If a book about airplanes costs $5.39, how much would it cost to buy 5 books about airplanes?
Answer:
$5.39 × 5 = $26.95
5 books about airplanes would cost $26.95.
whats the answer to this question (Please help me)
The correct option is C, the skews are different.
Which is best supported for both dot plots¨?We have two dot plots and we want to see which statement is the best suported by these.
The right one is better distributed, so we can conclude that the correct statement is that the data have different skews.
The ranges may seem also to be different, but are the same ones, in the first one is:
20 - 12 = 8
In the second it is:
19 - 11 = 8
so the correct option is C.
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50 POINTS!!!! Rewrite the function by completing the square f(x) = x^2 - 8x - 2
Answer:
The rewritten function by completing the square is:
[tex]f(x)=(x-4)^2-18[/tex]
The solutions of the function are:
[tex]x=4+3\sqrt{2},\;x=4-3\sqrt{2}[/tex]
Step-by-step explanation:
Given function:
[tex]f(x)=x^2-8x-2[/tex]
To rewrite the function by completing the square, begin by adding and subtracting the square of half the coefficient of the term in x. (Place these between the term in x and the constant).
[tex]f(x)=x^2-8x+\left(\dfrac{-8}{2}\right)^2-\left(\dfrac{-8}{2}\right)^2-2[/tex]
Simplify:
[tex]f(x)=x^2-8x+\left(-4\right)^2-\left(-4\right)^2-2[/tex]
[tex]f(x)=x^2-8x+16-16-2[/tex]
We have now created a perfect square trinomial from the first three terms: x² - 8x + 16.
[tex]\boxed{\begin{minipage}{8.5 cm}\underline{\sf \large Perfect Square Trinomial}\\\\\sf A perfect square trinomial is a polynomial of the form $a^2 + 2ab + b^2$ or $a^2 - 2ab + b^2$, where $a$ and $b$ are constants. \\\\When factored, a perfect square trinomial becomes the square of a binomial: $(a + b)^2$ or $(a - b)^2$. \\\end{minipage}}[/tex]
Factor the perfect square trinomial x² - 8x + 16.
[tex]f(x)=(x-4)^2-16-2[/tex]
Simplify by subtracting the numbers outside the parentheses:
[tex]f(x)=(x-4)^2-18[/tex]
Therefore, the given function rewritten by completing the square is:
f(x) = (x - 4)² - 18The solutions to a quadratic function are the x-values which satisfy the equation f(x) = 0. Therefore, to find the solutions, set the function equal to zero and solve for x.
[tex]\begin{aligned}f(x)&=0\\\implies (x-4)^2-18&=0\\(x-4)^2-18+18&=0+18\\(x-4)^2&=18\\\sqrt{(x-4)^2}&=\sqrt{18}\\x-4&=\pm\sqrt{18}\\x-4+4&=\pm\sqrt{18}+4\\x&=4\pm\sqrt{18}\\x&=4\pm\sqrt{3^2 \cdot 2}\\x&=4\pm\sqrt{3^2} \sqrt{2}\\x&=4\pm3 \sqrt{2}\end{aligned}[/tex]
Therefore, the solutions of the function are:
[tex]x=4+3\sqrt{2},\;x=4-3\sqrt{2}[/tex]
An animal population N(t) is modeled by the differential equation:
dN/dt = -0. 001N(N - 110)(N - 99). If N(0)=A, where A is a positive integer, what is the maximum value of the positive integer A such that extinction will occur?
For the given integer, the maximum starting population size that will eventually lead to extinction is 98, since any larger value will result in the population either stabilizing at a positive value or growing indefinitely.
The equation in question is:
dN/dt = -0.001N(N - 110)(N - 99)
Here, N represents the population size, and dN/dt represents the rate of change of the population with respect to time. The right-hand side of the equation tells us how the population size changes over time, and it's determined by the current population size N, as well as the two constants 110 and 99.
We can do this by setting dN/dt equal to zero and solving for N:
dN/dt = -0.001N(N - 110)(N - 99) = 0
=> N = 0, N = 99, N = 110
We can then plot the direction field (i.e., arrows indicating the direction of change) on each interval, and use this to determine the behavior of the solution curve. In this case, we can see that the direction of the arrows changes at each critical point, indicating that the population behavior switches between growing and declining as we move from one interval to the next.
Specifically, we can see that if the initial population size A is less than 99, the population will decline to extinction. If the initial population size is between 99 and 110, the population will initially decline but then grow and eventually stabilize at N = 110. If the initial population size is greater than 110, the population will grow exponentially and tend towards infinity.
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An electrician charges $45 an hour for labor and an initial fee of $55. The total cost c equals 45 times the number of hours x plus 55. Enter an equation for the relationship and use the equation to complete the table.
So, for example, if the electrician works for 1 hour, the total cost would be $451 + $55 = $100. If the electrician works for 2 hours, the total cost would be $452 + $55 = $145, and so on.
What is cost?Cost refers to the amount of money or resources that are required to produce or acquire a good or service. It is often used to describe the expenses associated with a particular activity or project, including the materials, labor, overhead, and other expenses necessary to complete the task. Cost can also refer to the value or price that is paid or incurred for a particular item or service. In business and economics, cost is an important factor in determining profitability and efficiency, as it helps to evaluate the expenses and benefits of different options and make informed decisions about resource allocation.
The equation for the relationship between the total cost c and the number of hours x is:
c = 45x + 55
To complete the table, we need to plug in the given hours and calculate the total cost for each:
Number of hours (x) Total cost (c)
1 $100
2 $145
3 $190
4 $235
5 $280
So, for example, if the electrician works for 1 hour, the total cost would be $451 + $55 = $100. If the electrician works for 2 hours, the total cost would be $452 + $55 = $145
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g suppose that the company releases a statement that the mean time for all patients is 2 hours. is this possible? is it likely?
Answer:
Whether it is possible or likely that the mean time for all patients is 2 hours depends on the context of the situation and the characteristics of the data.
If the data on patient wait times is very tightly clustered around the 2-hour mark, such that there is very little variation or dispersion in the data, then it is possible that the mean time for all patients is 2 hours. However, in most real-world situations, it is unlikely that all patients would have exactly the same wait time, so it is unlikely that the mean time for all patients would be exactly 2 hours.
Furthermore, the statement that the mean time for all patients is 2 hours may be misleading or inaccurate if it does not take into account other factors that may affect wait times, such as the time of day, the day of the week, the severity of patients' conditions, and the efficiency of the hospital's operations. Therefore, it is important to consider not only the mean time but also other measures of central tendency and dispersion, as well as other factors that may impact patient wait times, in order to fully understand and interpret the data.
Multiply 13. 5 x 12. 1 using a regrouping strategy. Explain your answer and each step that you take
The product of 13.5 and 12.1 using a regrouping strategy is 163.35.
To begin with, we can start by breaking down each number into its place value components, which are the ones, tenths, and hundredths places. We can represent 13.5 as 13 + 0.5 and 12.1 as 12 + 0.1.
So, we can rewrite 13.5 as (10 + 3) + 0.5 and 12.1 as (10 + 2) + 0.1. Now, we can use the distributive property of multiplication to multiply 13.5 by 12.1 as follows:
13.5 x 12.1 = (10 + 3 + 0.5) x (10 + 2 + 0.1)
= 10 x 10 + 10 x 2 + 10 x 0.1
+ 3 x 10 + 3 x 2 + 3 x 0.1
+ 0.5 x 10 + 0.5 x 2 + 0.5 x 0.1
Next, we can simplify each of these products by multiplying the numbers in the ones and tenths places separately, and then adding the results. For example, 10 x 10 = 100, 10 x 2 = 20, 10 x 0.1 = 1, 3 x 10 = 30, and so on.
So, continuing from the previous step, we get:
13.5 x 12.1 = 100 + 20 + 1
+ 30 + 6 + 0.3
+ 5 + 1 + 0.05
Finally, we can add up all these products to get the final answer:
13.5 x 12.1 = 163.35
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i need the answer loololololololol
The standard format of the polynomial given in the image is given as follows:
0.5x^5 - x^4 - 5x² - 6.
How to obtain the standard format of the polynomial?The standard format of a polynomial is to write it in descending order of the exponents of the variable, with each term separated by a plus or minus sign. For example, the standard format of a polynomial with one variable (x) is:
a_nx^n + a_{n-1}x^{n-1} + ... + a_2x^2 + a_1x + a_0
The exponents of the polynomial in this problem are given as follows:
5, 0, 4, 2.
Hence the descending order is:
5, 4, 2, 0.
And the standard format of the polynomial is of:
0.5x^5 - x^4 - 5x² - 6.
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Question 11
The number of carbohydrates from 10 different tortilla sandwich wraps sold in a grocery store was collected.
Which graphical representation would be most appropriate for the data, and why?
Circle chart, because the data is categorical
Line plot, because there is a large set of data
Histogram, because you can see each individual data point
Stem-and-leaf plot, because you can see each individual data point
Question 12
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10, 16, 20, and 28. There are two dots above 8 and 14. There are three dots above 18. There are four dots above 12. The graph is titled Bus 14 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 14, with a median of 14
Bus 18, with a mean of 12
Bus 14, with a mean of 14
Bus 18, with a median of 12
Question 13
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.
Question 14
Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.
Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54
If a circle graph was constructed from the results, which lake activity has a central angle of 39.6°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding
The lake activity with a central angle of [tex]39.6^\circ[/tex] is Wakeboarding.
What is the central angle?11. the number of tortilla sandwich wraps falling into each interval can be represented by the height or area of the bars. This allows for an easy visualization of the distribution of the data.
12. To determine which bus typically has the faster travel time, we need to compare the measures of center for each data set. Since there are outliers in both data sets, the median would be a more appropriate measure of center than the mean.
For Bus 14, the median is (10 + 12)/2 = 11.
For Bus 18, the median is (10 + 14)/2 = 12.
Therefore, Bus 18 typically has the faster travel time, with a median of 12 minutes.
13. The IQR (interquartile range) is the best measure of variability for the data because it is less sensitive to outliers than the range, and it gives us an idea of how spread out the middle 50% of the data is.
To find Q1, we need to find the median of the lower half of the data: (1+2)/2 = 1.5.
To find Q3, we need to find the median of the upper half of the data: (8+8+8)/3 = 8.
Therefore, the IQR = Q3 - Q1 = 8 - 1.5 = 6.5.
14. To determine the central angle of each lake activity, we need to calculate the percentage of campers who chose each activity and then multiply that percentage by 360 (the total degrees in a circle).
The percentage of campers who chose Kayaking is 15%, so the central angle would be 0.15 x 360 = 54°.
The percentage of campers who chose Wakeboarding is 11%, so the central angle would be 0.11 x 360 = 39.6°.
The percentage of campers who chose Windsurfing is 7%, so the central angle would be 0.07 x 360 = 25.2°.
The percentage of campers who chose Waterskiing is 13%, so the central angle would be 0.13 x 360 = 46.8°.
The percentage of campers who chose Paddleboarding is 54%, so the central angle would be [tex]0.54 x 360 = 194.4^\circ.[/tex]
Therefore, The lake activity with a central angle of [tex]39.6^\circ[/tex] is Wakeboarding.
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please I need HELP!!!
Answer:
the answer is 0.77 yes that is the answer
Answer:
C. 0.64
Step-by-step explanation:
the answer is on the picture
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Question 12
A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.
Question 13
A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
The college will have about 640 students who prefer cookies.
The college will have about 1,280 students who prefer cookies.
The college will have about 1,440 students who prefer cookies.
Question 14
A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44
Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
Question 15
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 18, with a median of 13
Bus 47, with a median of 16
Bus 18, with a mean of 13
Bus 47, with a mean of 16
Answer:
1-There were about 483 principals in attendance.
2-The college will have about 640 students who prefer pie
3-histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
4-The correct option regarding which bus has the least spread among the travel times is given as follows:
Bus 18, with an median of 16
Hope you get them all right :)
Write 35% as a fraction in lowest term
Answer:7/20
Step-by-step explanation:
35% [tex]= 0.35 = \frac{35}{100} = \frac{35/5}{100/5} = \frac{7}{20}[/tex]
A particular pancake recipe calls for 3 cups of flour to 1 cup of milk. What is the ratio of flour to milk if you double this
Answer: It should be the same?
(edit) Answer: The direct answer is 6:2 or 6 (cups) flour 2 (cups) milk
Step-by-step explanation: I'm Confused, the ratio is 3:1 or 1:0/3 even if you double the ratio it would be 6:2 the portions of flour will always 3 times the amount (measurement) of the milk. Correct me if i'm wrong, a bit perplexed why this question is asked.
In triangle ∆ABC, m<A = 33°, m<C = 58°, and AB = 25 in. What is AC to the nearest tenth of an inch?
1. 16.1 in.
2. 38.9 in
3. 42 in.
4. 12 in.
The value of AC to the nearest tenth is 29.5
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
Angle B = 180-(33+58)
= 180-91 = 89°
using sine rule
represent AC by x
x/ sin89 = 25/sin 58
xsin58 = 25sin89
0.848x = 0.9998×25
0.848x = 24.995
x = 24.995/0.848
x = 29.5( nearest tenth)
therefore the value of AC is 29.5.
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Each letter in the word ORLANDO is written on a card and put into a bag. What is the theoretical probability of choosing an “O”, putting it back and then drawing a “A”.
Hence, The theoretical probability of selecting a "O", returning it to the bag, and then selecting a "A" from the collection is 2/21.
What is the probability?The probability of an occurrence is a number used in mathematics to describe how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.
What is the event in probability?In probability theory, an event is a set of outcomes of an experiment to which a probability is assigned. A single outcome may be an element of many different events, and different events in an experiment are usually not equally likely, since they may include very different groups of outcomes.
The word "ORLANDO" consists of 7 letters,
in this word "ORLANDO" the O letter is 2 times and A is one times
probability of "O" letters is 2/7 before there are two "O"s in total out of the seven letters because we are putting the first letter back before drawing the second.
After that, there are still 2 "O"s and 1 "A" in the bag for the second draw because we placed the first "O" back. Because there is only one "A" out of a possible three letters, the probability of drawing one on the second draw is one in three.
We multiply the probabilities of each occurrence to determine the probability that both will occur:
P("O" on the first draw)* P("A" on the second draw) = (2/7) * (1/3) = 2/21
The theoretical probability of selecting a "O", returning it to the bag, and then selecting a "A" from the collection is therefore 2/21, or roughly 0.095, or 9.5%.
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rylie is a newly hired cybersecurity expert for a government agency. rylie used to work in the private sector. she has discovered that, whereas private sector companies often had confusing hierarchies for data classification, the government's classifications are well known and standardized. as part of her training, she is researching data that requires special authorization beyond normal classification. what is this type of data called? group of answer choices
Compartmentalized is the type of data that is discussed in the problem researched by an employee rylie who is a newly hired cybersecurity expert for a government agency and has working experience in the private sector.
Data classification is the way of organizing data into different categories that make it easy to retrieve, sort and store for future use. In simple words, compartmentalization means to separate into isolated compartments or categories. In data language, A nonhierarchical grouping of information used to control access to data more finely than with hierarchical security classification alone is called Compartmentalization. Now, we have a rylie who is a newly hired cybersecurity expert for a government agency. She has working experience in the private sector. On basis of her experience she has discovered that, the private sector companies often had confusing hierarchies for data classification as compared to the government's classifications which are well known and standardized. During her training, she is researching data that requires special authorization beyond normal classification. The data type that she researched and that is authorization beyond normal classification is called compartmentalized data.
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in par 12.2 cm 9.3 cm 9.3 cm 7.9 cm 26.5 cm 9.3 cm 17.2 cm 9.3 cm. ? 21.5 cm
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