Answer:
Step-by-step explanation:
Percentages are a powerful way to compare samples with different numbers of observations. By standardising measures using a scale of 0 to 100, samples can be compared quickly and easily. Any graph of the data, however, must include the full range of 0 to 100 to ensure that false impressions are not created.
mia has a certain amount of money. if she buys $4$ pens and $1$ pencil, she will have $\$5$ left over. if she buys $2$ pens and $2$ pencils, she will have $\$3$ left over. if edward arrives with the same amount of money as mia, together they can buy $7$ pens and $4$ pencils and spend all their money. if $a$ is the cost of one pen and $b$ is the cost of one pencil, compute the ordered pair $(a,b)$.
If 2 is the cost of one pen and 6 is the cost of one pencil, compute the ordered pair (2,6)
When Mia buys 4 pens and 1 pencil, she has $5 left; the number of dollars she starts with is 4a+b+5.
When she buys 2 pens and 2 pencils, she has $3 left; the number of dollars she starts with is 2a+2b+3.
Since those two expressions represent the same number, set them equal to each other and simplify to get an equation in a and b.
4a+b+5=2a+2b+3
2a-b=-2 [1]
They can purchase 7 pens and 4 pencils with their entire budget if Edward shows up with the same amount of money that Mia did.
The two of them have twice as much money as Mia did in the beginning, and they can buy 7 pens and 4 pencils with the money they have left over. To get a second equation in a and b, write an equation that says that and simplify it.
7a+4b = 8a+2b+10
a-2b=-10 [2]
solving both the equations 1 and 2:
2a-b = -2 - [1]
a-2b = -10 -[2]
a = 2 , b= 6
if 2 is the cost of one pen and 6 is the cost of one pencil, compute the ordered pair (2,6)
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Mary has 2/5 cups of flour, 1/4 cup of sugar 1/2 cups of baking powder. How much ingredients does mary have all together
Can someone help me out with this question? I've been practicing it this one is confusing to me
Answer:
NK = 26
Step-by-step explanation:
You have a triangle with the centroid identified and all medians drawn. You are given IK = 52 and want NK, where point N is the intersection of median JN with side IK.
CentroidThe centroid of a triangle is the point where the medians intersect. It divides each median in the ratio 2:1.
MedianA median of a triangle joins a vertex with the midpoint of the opposite side. Here, that means point N is the midpoint of side IK.
IK is given as length 52, so each half of that segment is 52/2 = 26.
IN = NK = 26
on the 6th grade arithmetic test, the average score was 94! which of these interpretations is the most likely to be correct?
More students received a 94 than any other score on the test. So, option B is the correct answer.
The mode of any given data set is the value that occurs in the given data set the most. This is that one value that occurs more than any other value in any given data set. From the given problem, we can easily understand that 94 is the mode of the set since it is the average score. This means that more students received a 94 than any other score on the test.
The first option is not the correct answer because we have not been told that 99 was the highest score on the test. We have also not been told no student scored below 50 or that a score of 91 was slightly below average.
This means option B is the correct answer.
The question you might be looking for is -
The mode score on the 6th-grade math test was 94! Which of these interpretations must be correct?
a. 99 was the highest score on the test.
b. More students received a 94 than any other score
c. No student scored below a 50
d. A score of 91 was slightly below average.
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If marbles cost $48 per doz, how many marbles can be bought with $140?
Answer:
2.91666667 dozen marbles can be purchased.
Step-by-step explanation:
To get this answer, you divide $140, by how much it costs per dozen, so $48.
Thus, you can purchase 2.91666667 dozen marbles, with $140.
i need help asap!! this is due soon!!!
What is the inequality notation of this equation??
(-∞,3)∪(5,∞)
Answer:
Interval notation to inequality notation
state the derivatives for the six inverse trigonometric functions. what study suggestions would you recommend for fellow students to learn these?
Derivative of six inverse trigonometric functions are as follow:
d/dx(sin⁻¹x) = 1 / √1 - x²
d/dx(cos⁻¹x) = -1 / √1 - x²
d/dx(tan⁻¹x) = 1 / √1 + x²
d/dx(cosec⁻¹x) = -1 / |x|√ x² - 1
d/dx(sec⁻¹x) = 1 / |x|√ x² -1
d/dx(cot⁻¹x) = -1 / √1 + x²
As given in the question,
Explanation of the derivative of six inverse trigonometric functions are as follow:
1. y = sin⁻¹x
⇒ x = siny
⇒d/dx(x) = d/dx(siny)
⇒ 1 = cosy dy/dx
⇒dy/dx = 1/cosy
⇒dy/dx = 1/√1-sin²y
⇒dy/dx = 1/√1-x²
⇒d/dx( sin⁻¹x) = 1/√1-x²
2. y = cos⁻¹x
⇒ x = cosy
⇒d/dx(x) = d/dx(cosy)
⇒ 1 =-siny dy/dx
⇒dy/dx = -1/siny
⇒dy/dx = -1/√1-cos²y
⇒dy/dx = -1/√1-x²
⇒d/dx( cos⁻¹x) = -1/√1-x²
3. y = tan⁻¹x
⇒ x = tany
⇒d/dx(x) = d/dx(tany)
⇒ 1 =sec²y dy/dx
⇒dy/dx = 1/sec²y
⇒dy/dx = 1/√1+ tan²y
⇒dy/dx = 1/√1 + x²
⇒d/dx( tan⁻¹x) = 1/√1+x²
4. y = cosec⁻¹x
⇒ x = cosecy
⇒d/dx(x) = d/dx(cosecy)
⇒ 1 =-cosecy coty dy/dx
⇒dy/dx = -1/cosecy coty
⇒dy/dx = -1/cosecy√cosec²y-1
⇒dy/dx = -1/|x|√x²-1
⇒d/dx( cosec⁻¹x) = -1/|x|√x²-1
5. y = sec⁻¹x
⇒ x = secy
⇒d/dx(x) = d/dx(secy)
⇒ 1 =secy tany dy/dx
⇒dy/dx = 1/secy tany
⇒dy/dx = 1/secy√sec²y-1
⇒dy/dx = 1/|x|√x²-1
⇒d/dx( sec⁻¹x) = 1/|x|√x²-1
6. y = cot⁻¹x
⇒ x =coty
⇒d/dx(x) = d/dx(coty)
⇒ 1 =-cosec²y dy/dx
⇒dy/dx = -1/cosec²y
⇒dy/dx = -1/√1+ cot²y
⇒dy/dx = -1/√1 + x²
⇒d/dx( cot⁻¹x) = -1/√1+x²
Therefore, the derivative of the six inverse trigonometric functions are given below:
d/dx(sin⁻¹x) = 1 / √1 - x²
d/dx(cos⁻¹x) = -1 / √1 - x²
d/dx(tan⁻¹x) = 1 / √1 + x²
d/dx(cosec⁻¹x) = -1 / |x|√ x² - 1
d/dx(sec⁻¹x) = 1 / |x|√ x² -1
d/dx(cot⁻¹x) = -1 / √1 + x²
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Helpppppp!!!!!!!!!!!!!!!!!!!!!
Exercise 6. A quadrangular pyramid has a rectangular base of dimensions 6 cm and 8 cm and height 12 cm. a) Draw the lateral edges of the pyramid; b) Calculate the volume of the pyramid; c) Calculate the total surface area of the pyramid
Answer:
Step-by-step explanation:
calculate a two-sided 95% confidence interval for true average degree of polymerization. (round your answers to two decimal places.)
95% confidence interval for true average degree of polymerization is [430.87 ; 446.07] and this interval suggest that 441 is a plausible value for true average degree of polymerization and also this interval does not suggest that 451 is a plausible value.
Given :
Sample = [ 418, 421, 421, 422, 425, 428, 431, 435, 437, 438, 445, 447, 448, 453, 458, 462, 465 ]95% confidence interval.The total number of values given is, n = 17
Mean, μ₀ = 438.47
Standard Deviation, σ = 14.79
The normal distribution is given by: N (438.47 ; 14.79)
If Cl is 95% then is 5% and is 2.5%
α/2 = 0.025
Now, use t-statistics distribution with (n -1) degree of freedom
df = 16
So, the t score for 0.025 and 16 s from t-table 2.120.
CI = [ μ₀ ± [tex]t_{\alpha /2}[/tex] ; (n-1) × σ/ √n]
⇒ CI = [μ₀ ± 2.120 × 14.79/√17
⇒ CI = [ μ₀ ± 7.60]
⇒ CI = 430.87 ; 446.07]
Yes, the interval suggests that 441 is a plausible value for true average degree of polymerization.
No, the interval does not suggest that 451 is a plausible value.
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if the null hypothesis is true, what value is expected on average for the repeated-measures t statistic?
A repeated-measures test's null hypothesis is that the population as a whole will have a mean difference of μD = 0.
What is Null Hypothesis?
In probability and statistics, the null hypothesis is a comprehensive statement or default status that there is zero happening or nothing happening.
The t statistic is calculated from the difference between the sample parameter in question and the value of the corresponding population parameter assumed under the null hypothesis. If the hypothesis is true, the difference between the values (and the corresponding t statistic) is expected to be zero.
A repeated-measures test's null hypothesis is that the population as a whole will have a mean difference of μD = 0.
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if anyone can help me that would be great pleasee click image to see
1) The equation of a line passing through the point (5, 9) in point slope form is; (y - 9) = 3(x - 5)
2) The equation that is parallel and passing through (0, 4) is; y = ¹/₂x + 4
3) The equation of the line parallel to y - 7 = 7(x - 3) and passing through the point (4, 2) is; (y - 2) = 7(x - 4)
4) Thus, the equation of the line parallel to y = -7x - 2and passing through (-9, -12) is; y = -7x - 75
How to find the equation of a line in slope intercept form?The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
1) We are given the equation of a line as;
y = 3x + 5
where;
slope = 3
y-intercept = 5
Thus, the equation of a line passing through the point (5, 9) in point slope form is;
(y - y₁) = m(x - x₁)
Thus; (y - 9) = 3(x - 5)
2) Equation of a line is given as;
y = (1/2)x
Thus, the equation that is parallel and passing through (0, 4) is;
y - 4 = (1/2)(x - 0)
y - 4 = ¹/₂x
y = ¹/₂x + 4
3) We are given the equation;
y - 7 = 7(x - 3)
y - 7 = 7x - 21
y = 7x - 14
Thus, equation of the line passing through the point (4, 2) is;
(y - 2) = 7(x - 4)
4) We are given the equation;
y = -7x - 2
Thus, the equation of the line parallel and passing through (-9, -12) is;
y + 12 = -7(x + 9)
y = -7x - 63 - 12
y = -7x - 75
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10. Kenji calculated that he needed to
eat about 2000 calories per day
based on his weight, age, and
activity level. For lunch, he ate a
hamburger that had 538 calories.
What percent of Kenji's daily
calorie needs does this hamburger
represent? Show your thinking.
Answer:
26.9%
Step-by-step explanation:
538/2000 = 0.269
Multiply this by 100 to get the percentage
= 26.9%
A coin is flipped 8 times. find the probability of the event: exactly 6 heads a. 0.4375 b. 0.75 c. 0.0039 d. 0.109
The correct option d. 0.109, for the probability of the event: exactly 6 heads out of 8.
Describe the term binomial distribution?The possibility that a value would take one of 2 independent values given a particular combination of factors or assumptions is captured by the statistical distribution known as the binomial distribution.P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ
The probability of getting one head = 1/2.
p = 0.5.
Thus, the probability of getting one tail = 1/2
q = 0.5
Thus, for exactly 6 heads
P(X = 6) = ⁸C₆. (0.5)⁶ (0.5)²
P(X = 6) = 0.109
Thus, the probability of the event: exactly 6 heads on flipping coin 8 times is 0.109.
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Given: -7x < -21. Choose the solution set. {x | x < 3} {x | x > 3} {x | x < -3} {x | x > -3}.
The solution set of the given inequality -7x < -21 is {x | x > 3}.
Define the term inequality?In mathematics, "inequality" refers to a relationship involving two variables or values that aren't even equal to one another.Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare different values in inequality. Less than (and less than and equal to), greater than (and greater or equal to), or just not equal to signs are used in place of the equal sign.For the stated question-
The given inequality is-
-7x < -21
Dividing both side by -1 will change the direction of the sign.
7x > 21
Now, divide both side by 7
7x/7 > 21/7
x > 3 (solution set)
Thus, the solution set of the given inequality -7x < -21 is {x | x > 3}.
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help me i need it bad
Answer:
36
I looked it up on
if x/3 = y/9 then, 3/9 =
Answer:Y=6
Step-by-step explanation:
I will be using the substitution method:
x+y=9 y=x+3
X + (x + 3) = 9
2x + 3 = 9
*subtract 3 from both sides*
2x = 6
*divide by 2 on each side of the equal sign*
X = 3
find y:
y = 3 + 3
y = 6
check:
3 + 6 = 9
9 = 9 (correct)
The value of x is 3 and the value of y is 6
A scientist is determining
the mass of 30,000
molecules of oxygen.
a. How many
significant digits
should be in the
solution?
Mass of one molecule of
oxygen = 5.3 x 10-23 gram
Answer:
The mass of the 30,000 molecules is 1.59\times 10^{-18}1.59×10
−18
Given that,
There are 30,000 molecules.
And, the mass of one molecule of oxygen i.e. 5.3\times 10^{-23}5.3×10
−23
gram.
Based on the above information, the calculation is as follows:
\begin{gathered}= 30,000 \times 5.3\times 10^{-23}\\\\= 3\times10^4 \times 5.3\times 10^{-23}\\\\= 15.9\times 10^{-23+4}\\\\= 15.9\times 10^{-19}\\\\= 1.59\times 10^{-19}\times 10\\\\= 1.59\times 10^{-18}\end{gathered}
=30,000×5.3×10
−23
=3×10
4
×5.3×10
−23
=15.9×10
−23+4
=15.9×10
−19
=1.59×10
−19
×10
=1.59×10
−18
Therefore we can conclude that the mass of the 30,000 molecules is 1.59\times 10^{-18}1.59×10
−18
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If 1 pound = 16 ounces, how many pounds are in 435 ounces?
Answer: 27.1875 pounds
Step-by-step explanation:
To find out how many pounds are in 435 ounces, we need to divide the number of ounces by the number of ounces per pound. Since 1 pound is equal to 16 ounces, we can divide 435 ounces by 16 ounces per pound to get the number of pounds. This gives us 435 ounces / 16 ounces/pound = 27.1875 pounds.
Therefore, there are approximately 27.1875 pounds in 435 ounces.
Answer:
27.1875 pounds
Step-by-step explanation:
1 pound = 16 ounces,
x pounds = 435 ounces
x = 435 ounces * 1 pound / 16 ounces
x = 27.1875 pounds
each side of a square is increasing at a rate of 7 cm/s. at what rate (in cm2/s) is the area of the square increasing when the area of the square is 64 cm2?
If each side of a square is increasing at a rate of 7 cm/s, then the rate of increasing the area of the the square when the area of the square is 64 cm square is 112 centimeter square per second
The rate of change of length with respect to the time = 7 cm per second
That is
dl / dt = 7 cm per second
The area of the square = l^2
Where l is the length of the square
The rate of change area with respect to the time is
dA / dt = 2l dl/dt
The area is given that 64 centimeter square and the side will be 8 cm
Substitute the values in the equation
dA / dt = 2 × 8 × 7
= 112 centimeter square per second
Therefore, the rate of increasing the area is 112 centimeter square per second
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Answer is actually 1420
Answer:
1420
Step-by-step explanation:
its in the question
when 500 phone books are recycled, which of the following statements is false? a. conserves around 9 cubic yards in landfill space b. conserves around 17-31 trees c. conserves around 4,077 kilowatt hours of energy d. conserves around 463 gallons of oil please select the best answer from the choices provided
The false statement out of given four option is (a)conserves around 9 cubic yards in landfill space.
What is area ?Area is characterized as the complete space taken up by a level (2-D) surface or state of an item. Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Region. Presently, envision your square is comprised of more modest unit squares
According to question:
That's what first explanation expresses "conserves around 9 cubic yards in landfill space "
Yet, here unit of landfill space is off-base. Since landfill space is an amount that in every case express in region. Unit of region in the proclamation articulation ought to be square yards not cubic yards
The excess amounts units are reliable with what they address.
Subsequently, When 500 telephone directories are reused, then, at that point, false statement is option (a) Monitors around 9 cubic yards in landfill space.
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Write a polynomial function with rational coefficients so that P(x)=0 p open x close equals 0 has the given roots.
7 and 12
Answer:
p(x)=x^2 -17 x + 84
Step-by-step explanation:
p(x)=(x-7)(x-12)
= x^2-17x+84
Kavion and Samantha like to collect stamps. Kavion 45 has stamps. This is 3 times 2 less than the number of stamps Samantha has.
Kevion and Samantha like to collect stamps and if Kevion has 45 stamps then Samantha has 45*3-2= 129 stamps.
What are Mathematical operations?The fundamental methods for mixing numbers or algebraic expressions to carry out mathematical computations are known as mathematical operations. These operations include multiplication, division, exponentiation, multiplication, and subtraction. More complex operations, such square roots, logarithms, and trigonometric functions, are available in addition to these fundamental operations. Mathematical operations are employed in a wide collection of disciplines, from elementary arithmetic to intricate computations in engineering and physics. We can use these operations to resolve issues and generate predictions based on mathematical models. We may better comprehend the world around us and make more precise predictions about what will happen in the future by applying mathematical procedures.
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the number line shows point m at 15,490 rounded to the nearest thousand?
Answer:
I can't see the number line, but I'll say 15,000
The solution is, 15000 when 15,490 rounded to the nearest thousand.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, we have,
given that, 15,490
now, we have to rounded to the nearest thousand.
we get, 490 < 500
so, it is 15000
Hence, The solution is, 15000 when 15,490 rounded to the nearest thousand.
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A bicycle is traveling at a constant speed of 15 miles per hour. The total distance the bicycle travels can be found using the equation: d=15h
The time that it takes for a ride of 24 miles is given as follows:
1.6 hours.
How to obtain the numeric value of a function or of an expression?To obtain the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the desired numeric value.
The distance in this problem is given as the multiplication of the velocity of 15 miles per hour and the time in hours, as follows:
d = 15h.
The variable h can be isolated, thus giving the time in hours for a distance of d miles, as follows:
h = d/15.
The time for a distance of 24 miles is obtained replacing the lone instance of d by 24, as follows:
h = 22
d = 1.6 hours.
Missing InformationThe problem asks for the time for a distance of 24 miles.
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6you can mow 800 sq ft of lawn in 15 minutes. at this rate, how many minutes will you take to mow a lawn that measures 6000 sq ft
It will take 112.5 minutes to mow a lawn that measures 6000 sq ft .
In the question ,
it is given that ,
the time taken to mow 800 sq ft of the given lawn is = 15 minutes ,
So , the time taken to mow 1 sq ft of lawn is = 15/800 minutes .
to find the time taken to mow 6000 sq ft , we multiply by 6000 ,
We get ,
time taken to mow 6000 sq ft of the lawn is = 6000*(15/800)
on solving , we have
= 90000/8000
Simplifying further ,
we get ,
= 112.5 minutes
Therefore , 6000 sq ft lawn will be mowed in 112.5 minutes .
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what is 24+70 equals
determine the area under the standard normal curve that lies to the right of the z-score −0.97 and to the left of the z-score −0.59.
0.1116 is the area under the standard normal curve using the given z-score.
What is Z-score?The standard score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed.
Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.
The 90th percentile's z-score is 1.2816, as calculated by the Percentile to Z-Score Calculator.
Therefore, a student's z-score would be deemed "excellent" if it was greater than or equal to 1.2816.
So, the area under the standard normal curve will be:
Find the z-scores by looking at the table's intersection of the 0.9 down and 0.07 across columns, which is 0.1660.
Similarly, find -0.5 down and 0.09 across to get 0.2776.
Add them together now: 0.2776 - 0.1660 = 0.1116
Therefore, 0.1116 is the area under the standard normal curve using the given z-score.
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calories in school lunches: a university of florida economist conducted a study of virginia elementary school lunch menus. during the state-mandated testing period, school lunches averaged 863 calories. (national bureau of economic research, november 2002.) the economist claimed that after the testing period end, the average caloric content of virginia school lunches dropped significantly.. Set up the null and alternative hypothesis to test the economist's claim
The null and alternative hypothesis test the economist's claim is-
H₀: u = 863 ,H₁: u < 863
What is hypothesis test?
A applied math hypothesis test may be a technique of applied math abstract thought accustomed decide whether or not the info at hand sufficiently support a selected hypothesis. Hypothesis testing permits us to create probabilistic statements regarding population parameters.
Main body:
Let ц =average calories of virginia school lunches
The average calories in the school lunch is 863
Here the economists claims that after the testing period ends, the average caloric content in the lunches were dropped
The null hypothesis is H₀ц = 863
Means H₀ ;The average caloric content in the school lunch is 863
The alternative hypothesis is H₁ц <863
Hence , H₁; the average caloric content in the lunches was dropped.
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Clearly, show all working on Folder Leaves. I 1. The area of a trapezium, A, is given by the formula A = (a+b)÷2 h, where a and b are the lengths of the parallel sides and h is the perpendicular height. a) Apply the necessary operations to make side 'b' the subject.
Making b the subject in the formula for area of a trapezium, A, given by A = (a+b)÷2 h is found to be b = 2A/h - a
How to write the expression in terms o f bThe given expression for area of trapezium is A = (a+b)÷2*h
b is solved for as follows
A = (a+b)÷2*h
A = h * (a+b)/2
divide through by h
A/h = (a+b)/2
multiply through by 2
2A/h = (a + b)
2A/h = a + b
b = 2A/h - a
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