Answer:
32
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by the reciprical of the fraction, i.e. dividing by 1/4 is the same as multiplying by 4/1 :)
The school nurse would like to compare the daily calorie consumption of some teachers to their weight. The data are given below: Calorie 1960 2160 1530 1690 Weight 75 74 78 80 Calorie 1580 1780 2170 1820 1880 Weight 77 85 79 82 78
Answer:
hinh nh ul a caanbang
Step-by-step explanation:
Calorie consumption increases, and weight tends to increase slightly, but the relationship is not very strong.
How to compare data?To compare the daily calorie consumption of teachers to their weight, we can create a scatter plot of the given data, where the calorie consumption is plotted on the x-axis, and the weight is plotted on the y-axis.
Each point on the scatter plot represents a teacher, and the position of the point shows the teacher's calorie consumption and weight.
From the scatter plot, we can see that there is no clear pattern or trend between the calorie consumption and weight of the teachers. However, we can calculate the correlation coefficient between the two variables to quantify the strength and direction of the relationship.
Using a calculator or a spreadsheet program, we can find that the correlation coefficient between calorie consumption and weight is approximately 0.07, which indicates a weak positive correlation.
This means that as calorie consumption increases, weight tends to increase slightly, but the relationship is not very strong.
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What transformations were applied to ABCD to obtain A'B'C'D?
Answer:
Step-by-step explanation:
The answer is B; 90°
Option C is the correct transformation to transform ABCD to A'B'C'D'.
What are rotation and translation?Rotation involves moving an object about a fixed point. Each point on the object describes a circular path with the center, the center of rotation.
Translation involves moving an object such that only one of the three cartesian coordinates changes during the transformation.
here, we have,
Rotation
Rotate the square ABCD counterclockwise about the origin. Sides AD and BC of square ABCD will become parallel to the sides A'D' and B'C' respectively of the square A'B'C'D'. The square ABCD is, thus, oriented the same way as the square A'B'C'D'.
Vertical Translation
After the rotation, the side AB is 1 unit above the y-axis, which is the same as that of the square A'B'C'D'. So, the vertical position of the square ABCD is the same as that of the square A'B'C'D'.
Horizontal Translation
The side AD of the square ABCD is 5 units to the left of the x-axis. The side A'D' of the square A'B'C'D' is 8 units to the left of the x-axis. So, translate the square ABCD to the left by 3 units to coincide with the position of A'B'C'D'.
Thus, to obtain A'B'C'D' from ABCD first rotate it by 90° counterclockwise then, translate it to the left by 3 units.
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Find the length of side y.
y=_ft
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
Arrivals of cars at a gas station follow a Poisson distribution. During a given 5-minute period, one car arrived at the station. Find the probability that it arrived during the last 30 seconds of the 5-minute period g.
Answer:
0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.
Step-by-step explanation:
The car is equally as likely to arrive during each second of the interval, which means that the uniform distribution is used to solve this question.
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X \geq x) = \frac{b - x}{b - a}[/tex]
5-minute period
This means that [tex]a = 0, b = 5*60 = 300[/tex]
Find the probability that it arrived during the last 30 seconds of the 5-minute period.
300 - 30 = 270. So
[tex]P(X \geq 270) = \frac{300 - 270}{300 - 0} = 0.9[/tex]
0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.
What is the z-score of a data value that is 3 standard deviations to the left of the mean?
Answer:
Step-by-step explanation:
look up z-table
3 std div. = 0.00135
Currently, there are 1,460 wolves in Scataway National Park. If the population of wolves is growing at a rate of 6% every year,
which function represents the number of wolves in Scataway National Park in tyears?
OA W0 = 1,460(1.06)
B. WO = 1,460(0.94)
OC M6 = 1,460(0.06)
OD. WO = (1,460)(1.06)
Answer:
[tex]P(t) = 1460(1.06)^t[/tex]
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for a population after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
Currently, there are 1,460 wolves in Scataway National Park.
This means that [tex]P(0) = 1460[/tex]
Growing at a rate of 6% every year:
This means that [tex]r = 0.06[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 1460(1+0.06)^t[/tex]
[tex]P(t) = 1460(1.06)^t[/tex]
Answer:
Step-by-step explanation:
Max is mixing oil and gas for his moped. He uses 3.75 liters of gas and 1.5 liters of oil. How many liters of gas are used per liter of oil ?
Step-by-step explanation:
Recognize youre finding the ratio between litres of gas per litres of oil
per always means a ratio
3.75L gas / 1.5L oil
simplify to get 2.5L gas / 1L oil
A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears filled with blackboard errors, the total amount in dollarspaid can be approximated by a Gaussian random variableYnwith expected value 40nandand variance 100n. What is the probability that 20exceeds 1000
Answer:
The correct answer is "0.0000039110".
Step-by-step explanation:
The given values are:
[tex]Y_n\rightarrow N(\mu, \sigma^2)[/tex]
[tex]\mu = 40n[/tex]
[tex]\sigma^2=100n[/tex]
[tex]n=20[/tex]
then,
The required probability will be:
= [tex]P(Y_{20}>1000)[/tex]
= [tex]P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )[/tex]
= [tex]P(Z>\frac{1000-800}{44.7214} )[/tex]
= [tex]P(Z>\frac{200}{44.7214} )[/tex]
= [tex]P(Z>4.47)[/tex]
By using the table, we get
= [tex]0.0000039110[/tex]
Ronald and Khalil had a 400 meter race Ronalds time was 1 minute and 51 seconds and Khalil time was 2 minutes and 34 seconds how much faster was Ronald time the khalil’s
Answer:
Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.
Step-by-step explanation:
Given that Ronald and Khalil had a 400 meter race, and Ronald's time was 1 minute and 51 seconds, and Khalil's time was 2 minutes and 34 seconds, to determine how much faster was Ronald time the Khalil’s, the following calculation must be performed:
400 x 2.5 = 1000
60 x 60 = 3600
1.51 = 101 x 2.5 = 252.5
2.34 = 154 x 2.5 = 385
252.5 = 1000
3600 = X
3600 x 1000 / 252.5 = X
14,257.43 = X
385 = 1000
3600 = X
3600 x 1000/385 = X
9,350.65 = X
14,257.43 / 1000 = 14.26
9,350.65 / 1000 = 9.35
Thus, Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.
The cost of 6 pens is $3.60. What would 2 dozen cost?
$14.40. And then you have the tax. :D
Have A Great Day.
The cost of 2 dozen pens will be "$14.4".
Given:
Cost of 6 pens,
$3.60As we know,
1 dozen = 12then,
12 dozen = [tex]12\times 2[/tex]= [tex]24[/tex]
Now,
→ The cost of 1 pen will be:
= [tex]\frac{3.60}{6}[/tex]
= [tex]0.6[/tex] ($)
hence,
→ The cost of 24 pens (2 dozen) will be:
= [tex]0.6\times 24[/tex]
= [tex]14.4[/tex] ($)
Thus the above solution is right.
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Which of the following ordered pairs are solutions to the system of equations below?
(3x + 5y = 14
y = 1/2x + 5)
O (2.4)
0 (-2,4)
O (2,6)
O (-2,6)
Answer:
(- 2, 4 )
Step-by-step explanation:
Given the 2 equations
3x + 5y = 14 → (1)
y = [tex]\frac{1}{2}[/tex] x + 5 → (2)
Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)
3x + 5([tex]\frac{1}{2}[/tex] x + 5) = 14
3x + [tex]\frac{5}{2}[/tex] x + 25 = 14
[tex]\frac{11}{2}[/tex] x + 25 = 14 ( subtract 25 from both sides )
[tex]\frac{11}{2}[/tex] x = - 11 ( multiply both sides by 2 )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 into (2) for corresponding value of y
y = [tex]\frac{1}{2}[/tex] × - 2 + 5 = - 1 + 5 = 4
solution is (- 2, 4 )
Select the correct answer from the choices given
(13 + 4i) + n = 0
What is n?
0
1
–13 + 4i
–13 - 4i
Answer:
D
B
Step-by-step explanation:
A spinner like the one below is used in a game. Determine the probabilit that the spinner will land on an odd number less than nine.
A.3/2
B.5/12
C.1/3
D.6/11
Order the temperatures for the week from hottest to coldest: 25 degrees, 2 degrees below zero, -16 degrees, and 40 degrees above zero.
A. -2°, -16°, 25°, 40°
B. -16°, -2°, 259, 16°
C. 40°, 25°, -16°, -2°
D. 40°,25°, 2°, -16°
E. 40°, 250, -2°, -16°
Answer:
C. 40,25,-16,-2 Celsius
Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs. a. True b. False
Answer:
False.
Step-by-step explanation:
Time-series graph is a graph that relates something to the change of time, then the time is the single variable in this case.
Bar graphs relate a given quantity to a given variable, an example of this can be the population of a given city (represented by the height of each bar) for each different year (which is the single variable in this case)
Pie-chart is a circular graph with defined sections that represent a given proportion. This kind of graph is used to represent percentages, like in the case of a pie chart that describes the number of men and women in a city. (one section of the circle represents the percentage of women and the other section of the circle represents the percentage of men). In this type of graph, there are no variables, so this is not a single variable graph.
Then the statement:
"Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs."
Is false.
Please help!!!! ASAP!! I’ll give brainliest!!!
Answer:
First column 35
Second column 60
It is 91.6083916% likely that the soil sample contains organic matter
Step-by-step explanation:
700 -655= 35
300 -240= 60
655 +60 = 715
715÷655 = 0.916083916
0.916083916 x 100 = 91.6083916%
help please! which of the following represents two dependent events .
Answer:
i would say A
Step-by-step explanation:
Keira rented a car for 3 days. She paid $118 rent
each day. Insurance for the 3 days came to a total of $35. How
much did Keira pay in all? Explain how you found your answer
Answer:
389
Step-by-step explanation:
3*118 + 35
A blue bag has 2 times as many marbles as a red bag. The blue bag has 6 marbles.
How many marbles are in the red bag?
Answer:
3
Step-by-step explanation:
solve the system of equations, -4x+3y= -2
the answer is x=1/2+3y/4
Answer:
x:(1/2,0)
y:(0,-2/3)
this is the points in the graphic
1 4/5 is an example of a (n)
Answer:
Mixed Fraction
Step-by-step explanation:
A mixed fraction is a fraction with a whole number attached to it like 5 1/5 or 3 1/2
[tex]1\frac{4}{5}[/tex] is an example of a mixed fraction.
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers.
A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
Properties of Mixed Numbers :
1. It is partly a whole number.
2. It is partly a fraction.
[tex]1\frac{4}{5}[/tex] is an example of a mixed fraction.
In [tex]1\frac{4}{5}[/tex] , 2 is the quotient, 4 is the remainder.
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Which rule explains why these triangles are congruent?
Answer:
SSS
Step-by-step explanation:
You can tell by the 2 dashes side and the one dash if that makes sense
Answer: SAS
Step-by-step explanation:
Teresa's sugar cookie recipe calls for 2 1/3 cups of sugar. How much
sugar will she need to make 2 1/2 batches?
Answer:
5 5/6
Step-by-step explanation:
Multiply 2 1/3 by 2 1/2. The easiest way (?!) is to change both mixed numbers to improper fractions (I dislike that name! It just means a numerator bigger than the denominator).
2 1/3 Multiply the denominator 3 by the whole number 2, add the numerator 1 to get 6+1 = 7. Place that over the denominator, 3. So 2 1/3 = 7/3.
2 1/2 Multiply the denominator 2 by the whole number 2, add the numerator 1 to get 4+1=5. Place that over the denominator, 2. So 2 1/2 = 5/2.
Multiply 7/3 by 5/2.
[tex]\frac{5}{2} \cdot \frac{7}{3}=\frac{35}{6}[/tex]
Finally, convert the improper fractioin 35/6 to a mixed number by dividing 35 by 6 (6 goes into 35 5 whole times with 5 "left over"). The whole number part is 5 and the left over fraction part is 5/6.
5 5/6
Help pleaseeeeeeeeeeee
Answer:
C. The cone is ⅓ the volume of the cylinder
Step-by-step explanation:
Volume of a cylinder = πr²h
Volume of a cone = ⅓πr²h
Assuming they both have the same height (h) and radius (r), from the formula given above, we see that the cone is ⅓ of the volume of the cylinder (πr²h)
Let's demonstrate this with figures:
Hypothetically, let,
h = 3 cm
r = 3 cm
Let's plug these values into each formula for a cone and a cylinder:
Cylinder = π*3³*3 = 27π cm³
Cone = ⅓(π*3²*3) = ⅓(27π) = 9π cm³
As you can see, the volume of the cylinder (27π) is 3 times the volume of the cone (9π)
Therefore:
The cone is ⅓ the volume of the cylinder
Simplify: (9wº + 4w - 4)+(2w° +6w +9) A 1 1w3 - 2w -13 B 11wº+ 10w +5
Answer:
I believe it’s option c!
Step-by-step explanation:
Correct me if I’m wrong!
42 32 30 32 44 36 45 43 What is the median of this set of data?
Answer: 39
Step-by-step explanation:
30 32 32 36 42 42 44 45
If your earned income for 2021 will be $84,686, Calculate what you will pay
in Social Security and Medicare taxes if Social Security is taxed at 6.2% at a
maximum taxable income of $142,800 and Medicare is taxed at 1.45%.
Answer:
5250.53 social security, 1227.95 Medicare
Step-by-step explanation:
84686x.062=5250.53 in social security
84686x.0145=1227.95 in Medicare
Solve the system of equations -x-y=-4−x−y=−4 and -2x+4y=4−2x+4y=4 by combining the equations.
9514 1404 393
Answer:
(x, y) = (2, 2)
Step-by-step explanation:
We can put the second equation into standard form by dividing by -2.
x -2y = -2
Adding this to the first equation eliminates x
(x -2y) +(-x -y) = (-2) +(-4)
-3y = -6
y = 2 . . . . . divide by -3
-x -(2) = -4 . . . . substitute for x in the first equation
2 = x . . . . . . . . add 4+x
The solution is (x, y) = (2, 2).
What is the area? PLEASE HELP
Answer:
14mm×20mm=280mm²
14mm×12mm/2=84mm²
3.14×10²mm=314mm²
280m²+84mm²+314mm²=678mm²
Answer:
521mm^2
Step-by-step explanation:
First, separate the shapes.
-Half circle= diameter of 20, radius 10
-Rectangle= 14x20
-Triangle= (32-20)x14= 12x14
Then, calculate
Circle equation= (pi)r^2= (pi)(10)^2= 314.16 -> divide by 2 for half circle= 157.1
Rectangle= 14x20=280
Triangle= (12x14)=168 -> Divide by two because it's a triangle= 84
Add 157 + 280 + 84 and you get 521
What is the surface area of the right cone below?
The surface area of the right cone in terms of pi is 176π units².
How to calculate the surface area of a cone?A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The surface area of a cone is expressed as;
Surface area = πrl + πr²
Where r is the radius of the base, l is the slant height of the cone and π is constant pi.
From the diagram:
Radius r = 8 units
Slant height h = 14 units
Surface area =?
Plug the given values into the above formula and solve for surface area:
Surface area = πrl + πr²
Surface area = ( π × 8 × 14 ) + ( π × 8² )
Surface area = ( π × 112 ) + ( π × 64 )
Surface area = 112π + 64π
Surface area = 176π units²
Therefore, the surface area is 176π units².
Option A)176π units² is the correct answer.
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