The difference between the proportion registered to vote for ages 18 to 24 compared with those 25 to 34 is P(25 to 34)- P(18 to 24). We will do a one-tailed test. Use an alpha level of 05 unless otherwise instructed.
Data is given below:
Age Registered Not Registered Total 18 to 2458510925 to 34934714035 to 44963945 to 541164215855 to 61123314565 to 747319275 and over 551570 Total 603245849 Pooled Variance for this Hypothesis Test:
The formula for pooled variance is given by;
${S_p}^2=\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{(n_1+n_2-2)}$
Where, n1 and n2 are the sample sizes for the 1st and 2nd samples, S1² and S2² are the variances for the 1st and 2nd samples respectively.
Substituting the values in the above formula, we get; ${S_p}^2=\frac{(109-1)S_1^2+(140-1)S_2^2}{(109+140-2)}$
For the Age group 18 to 24, Sample size (n1) = 109, Variance (S1²) = 0.4978.
For the Age group 25 to 34, Sample size (n2) = 140, Variance (S2²) = 0.5696.
Substituting the values, we get; ${S_p}^2=\frac{(108)(0.4978)+(139)(0.5696)}{(247)}$${S_p}^2=\frac{54.8424+79.12944}{247}$${S_p}^2=\frac{133.97184}{247}$Sp² = 0.5423 (approx.).Therefore, the Pooled Variance for this Hypothesis Test is 0.5423 (approx.). Now, considering the second part of the question; If a priori, we thought private schools should have a higher 6-year average graduation rate than public schools, the conclusion of the hypothesis test for this problem would be to reject the null hypothesis at alpha. The answer is 'alpha.'Therefore, the conclusion of the hypothesis test for this problem would be to reject the null hypothesis at alpha.
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There are 16 tablespoons in one cup. Which table correctly relates the number of cups to the number of tablespoons?
Answer:
A
Step-by-step explanation:
got it right on edg 2020
valencia theater sold 487 tickets for a play. tickets cost $14 per student with valid valencia identification and $25 per non-student. if total receipts were $8391, how many valencia student tickets and non-student tickets were sold?
354 Valencia student tickets and 133 non-student tickets were sold.
Let's use algebra to solve the problem. Let
x be the number of Valencia student tickets sold
y be the number of non-student tickets sold
We know that
x + y = 487 (the total number of tickets sold is 487)
14x + 25y = 8391 (the total receipts from ticket sales is $8391)
We can use the first equation to express one of the variables in terms of the other. For example, we can solve for y
y = 487 - x
Here we have to use the substitution method, we can then substitute this expression for y into the second equation
14x + 25(487 - x) = 8391
Simplifying and solving for x
14x + 12275 - 25x = 8391
-11x = -3884
x = 354
So, 354 Valencia student tickets were sold. We can use the first equation to find y
x + y = 487
354 + y = 487
y = 133
So, 133 non-student tickets were sold.
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Mario delivered 95 newspapers in 2 hours. If that rate continued, how many newspapers could we expect him to deliver in 5 hours?
Answer:
if he delivers 95 newspapers in 2 hours it means that he can deliver 190 in 4 hours, sadly if we were to find out how much he can do per hour he would do 47.5 so this would mean that he would do 237.5 we can round this up to 238, we could expect him to deliver 238 newspapers
A cone with a height of 4 in, and a diameter of 6 in. Find the surface area and Volume
if its diameter is 6, then its radius is half that or 3.
\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h }{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \implies \qquad SA=\pi (3)\sqrt{3^2+4^2}+\pi (3)^2 \\\\\\ 3\pi \sqrt{25}+9\pi \implies 3\pi (5)+9\pi \implies 15\pi +9\pi \implies 24\pi\)
What is the value of x?
Pls Answer This gyys
Answer:
.705
because it comes after the decimal point
Answer:
.705 yan na ha kkkkkkkk
Help plz
Simple answers work!
Answer: I don't known b ???????
Step-by-step explanation:
Step-by-step explanation:
step one Choose C
HELP ASAP!!!!!!!!!!!
Answer:
25%
Step-by-step explanation:
The total number of 7th grade students = 9 + 11 + 11 + 13 = 44
Out of the 44 students 11 play bass
Probability that a seventh grader chosen at random will play the base is:
11/44 = 1/4 = 0.25
As a percentage, this would be 0.25 x 100 = 25%
Solve for k.
10
1323
3
9
CAN U HELP PLEASE
Answer:
Step-by-step explanation:
k/9=10/3 multiply both sides by 9
k=90/3
k=30
Answer:
Hello
\( \frac{10}{3} = \frac{k}{9} \\ 10 \times 9 = 3k \\3 k = 90 \\ k = 90 \div 3 \\ k = 30\)
hope it helps
Have a nice day
In an experiment to determine the value of π4 a cylinder is meavured to bave an average value of 4.25 cm for its diameter and an average value of 13.39 com tor its circumference. What is the experimental value of π to the correct number of signifieant fizares? Experimental value of π : If the accepted value of π is 3.1416, what are the fractional error and percent error of the experimental value found in previous problem? Fractional crror: Pencent crror: Question (2): In an experiment to measure the acceleration due to gravity, two values 9.96 m/s and 9.72 m/s2 are determined. (i) Find the percentage difference of the measarements, (ii) percent error of each measurement E1 and E24 and (iv) the percent error of their mean (accepted value of g is 9.8 m/s2 ) (i) Percent difference: (ii) Percent error of E1 : (iii) Percent error of E2 : (iv) Percent error of mean:
(i) Percentage difference ≈ 1.25%
(ii) Percent error of E1 ≈ 1.63%
(iii) Percent error of E2 ≈ 0.82%
(iv) Percent error of the mean ≈ 0.41%
To determine the experimental value of π, we can use the formula:
π = Circumference / Diameter
Given that the average diameter is 4.25 cm and the average circumference is 13.39 cm, we can substitute these values into the formula:
π = 13.39 cm / 4.25 cm
π ≈ 3.1482
The experimental value of π, to the correct number of significant figures, is approximately 3.1482.
Now, let's calculate the fractional error and percent error of the experimental value of π, compared to the accepted value of 3.1416.
Fractional error = (Experimental value - Accepted value) / Accepted value
Fractional error = (3.1482 - 3.1416) / 3.1416
Fractional error ≈ 0.0021
Percent error = Fractional error * 100
Percent error ≈ 0.0021 * 100
Percent error ≈ 0.21%
Therefore, the fractional error of the experimental value of π is approximately 0.0021, and the percent error is approximately 0.21%.
Moving on to the second question regarding the measurement of acceleration due to gravity:
(i) Percentage difference:
Percentage difference = |(E1 - E2) / ((E1 + E2)/2)| * 100
Percentage difference = |(9.96 - 9.72) / ((9.96 + 9.72)/2)| * 100
Percentage difference ≈ 1.25%
(ii) Percent error of E1:
Percent error of E1 = |(E1 - Accepted value) / Accepted value| * 100
Percent error of E1 = |(9.96 - 9.8) / 9.8| * 100
Percent error of E1 ≈ 1.63%
(iii) Percent error of E2:
Percent error of E2 = |(E2 - Accepted value) / Accepted value| * 100
Percent error of E2 = |(9.72 - 9.8) / 9.8| * 100
Percent error of E2 ≈ 0.82%
(iv) Percent error of the mean:
Percent error of the mean = |(Mean - Accepted value) / Accepted value| * 100
Mean = (E1 + E2) / 2
Mean = (9.96 + 9.72) / 2 = 9.84
Percent error of the mean = |(9.84 - 9.8) / 9.8| * 100
Percent error of the mean ≈ 0.41%
To summarize:
(i) Percentage difference ≈ 1.25%
(ii) Percent error of E1 ≈ 1.63%
(iii) Percent error of E2 ≈ 0.82%
(iv) Percent error of the mean ≈ 0.41%
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-60 = -15k
Solve the equation.
Answer:
k=4
Step-by-step explanation:
-60 = -15k
-60÷-15= -15k÷-15
-60÷-15=k
-60÷-15=4
k=4
-60=-15k
-60= -15(4)
What is four hundredths as a decimal number?
Answer:
0.04 is the answer
Step-by-step explanation:
that is the answer
Slope=4; goes through (-3,0)
The equation of the line with slope 4 that goes through the point (-3,0) is y = 4x + 12.
The equation of the line passing through the point (-3,0) with a slope of 4 can be found using the point-slope form of a line's equation:
y - y1 = m(x - x1)
where the provided point is (x1, y1), and m is the slope.
When we change the values, we obtain:
y - 0 = 4(x - (-3))
Making the right side simpler:
y = 4x + 12
Hence, y = 4x + 12 is the equation of the line with slope 4 passing through the point (-3,0).
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g(r)=-1-7r
g(6)=
I NEED HELP ASAP
Answer:
-43
Step-by-step explanation:
-1-7(6)
-1-42
-43
Can someone explain how to solve this?
Answer:
here you go. hope this helps!
Builtrite has calculated the average cash flow to be $14,000 with a standard deviation of $5000. What is the probability of a cash flow being between than $16,000 and $19,000 ? (Assume a normal distribution.) 16.25% 18.13% 23.90% 2120%
The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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How do I do this math problem
a(n) ________ is a complicated set of possibly nonlinear equations.
A neural network is a complicated set of possibly nonlinear equations. There are at least two degrees to a nonlinear equation.
This means that a variable in the equation can only be raised to the power of two or higher. A linear equation is typically represented as y = mx + c, where x and y are variables, m is the line's slope, and c is a constant. A nonlinear equation is one in which the highest degree of any term is two or greater. Since equation 1 has the highest degree of 2, and equation 2 involves variables x and y, this is an example of a nonlinear equation. + 2x + 1 = 0, 3x + 4y = 5, etc.
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This trapezoid represents the base of a right prism that has a surface area of 1280 square feet. The sum of the lengths of the legs of the trapezoid is 52 feet. What is the height of the prism?
Step-by-step explanation:
Let's call the shorter base of the trapezoid "b1", the longer base "b2", and the height "h". We can use the formula for the surface area of a right prism to set up an equation:
Surface area of prism = 2(base area) + (lateral area) = 1280
The base area is the area of the trapezoid, which is given by:
(base area) = (1/2)(b1 + b2)h
The lateral area is the area of the four rectangular faces of the prism, which are all congruent. Each face has an area equal to the product of the height and the length of one of the legs of the trapezoid, so the lateral area is:
(lateral area) = 4hl
where l is the length of one of the legs of the trapezoid.
Substituting these expressions into the formula for the surface area of the prism, we get:
2[(1/2)(b1 + b2)h] + 4hl = 1280
Simplifying and rearranging, we get:
h(b1 + b2) + 2hl = 1280
We also know that the sum of the lengths of the legs of the trapezoid is 52 feet, which means:
l1 + l2 = 52
But we can express l1 and l2 in terms of b1 and b2 using the formula for the area of a trapezoid:
(base area) = (1/2)(b1 + b2)h = (1/2)(l1 + l2)h
Simplifying, we get:
b1 + b2 = (l1 + l2)h
Substituting this into the previous equation, we get:
h[(l1 + l2)h] + 2hl = 1280
Simplifying, we get:
h^2(l1 + l2) + 2hl = 1280
Substituting l1 + l2 = 52, we get:
h^2(52) + 2hl = 1280
This is a quadratic equation in h. We can solve it using the quadratic formula:
h = [-2l ± sqrt(4l^2 + 4h^2(52)(1280 - 2hl))] / 2(52)
Simplifying and factoring out a 2, we get:
h = [-l ± sqrt(l^2 + h^2(1280 - 2hl))] / 52
We have two possible solutions for h, but one of them is negative, which doesn't make sense in the context of the problem. So we can discard the negative solution and focus on the positive one:
h = [-l + sqrt(l^2 + h^2(1280 - 2hl))] / 52
We don't know the exact value of h yet, but we can use this equation to set up a system of equations that we can solve for h. Specifically, we can use the fact that the legs of the trapezoid add up to 52 feet to solve for l in terms of b1 and b2:
l = 52 - (b1 + b2)
Substituting this into the equation for h, we get:
h = [-l + sqrt(l^2 + h^2(1280 - 2hl))] / 52
h = [-52 + (b1 + b2) + sqrt((52 - (b1 + b2))^2 + h^2(1280 - 2h(b1 + b
Which relationships have the same constant of proportionality between yyy and xxx as the following table?
x y
4 32
7 56
8 64
Choose 3 answers:
a) 3y=24x
b) graph
c) graph
d) x y
2 16
3 24
6 48
e)
x y
5 30
9 72
10 8
According to the following table, the same constant of proportionality between yyy and xxx in the relation y=8x is.
The proportionality constant k is defined as k=y/x when y and x are two numbers that are directly proportional to one another. If you are aware of the proportionality constant, you can use the equation y=kx, where k is the proportionality constant you are interested in, to determine the direct link between x and y. As an example, we may write y = kx, where k is the proportionality constant, x is the quantity of gas in gallons, and y is the cost in dollars. In other words, the cost is directly related to the number of gallons pumped.
By calculating
32=4*8
56=7*8
64=8*8
Therefore, y=8x.
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Lottie and Kai have saved a total of £584 for their holiday.
Lottie has saved £76 more than Kai.
How much did Lottie save?
Answer: Lottie saved 330 pounds.
Step-by-step explanation:
Lottie's amount can be represented by the expression x + 76 and Kai's amount is unknown so we will also represent by x.
We know that the combination of their savings will be 584 pounds so we will add the expression and set them equal 584.
x + (x + 76) = 584 Now solve for x
2x + 76 = 584
-76 -76
2x = 508
x= 254
If x was Kai's amount then Kai save 254 pounds.
Lottie saved 76 more that Kai
254 + 76 = 330
Lottie also save 330 pounds
Using the triangle below. What are the trigonometric ratios of angle A?
Answer:
D
Step-by-step explanation:
D
Evaluate the following expression if x=3: 2^x *
Answer:
x = 8
Step-by-step explanation:
This question is pretty simple. You already know the value of x, we substitute what x equals and find the number 2 cubed.
2^3 = ?
2x2x2 = 8
y=9x -7 in standard form
Answer:
change to standard form
-9x+y=4
multiply through by -1
9x-y=-4
7x +14y =28 5x + 10y =20
DatGuy323! U there! Write the factors of the following expression: x²+7x+6 = 0
Answer: x = -6, -1
Step-by-step explanation:
Factor
(x+6)(x+1)=0
To get 0 out of multiplication, you must have one term equal 0. Thus, either x+6 or x+1 must equal 0. Thus, x = -6,-1
Hope it helps <3
tyvm :)
Answer:
Factors : (x+1) , (x+6)
Solution : x = -1 or x = -6
Step-by-step explanation:
\(x^2+7x+6 = 0\)
The left side of the equation can be factored.
Factor the left side.
\(x^2+1x+6x+6 = 0\)
\(x(x+1)+6(x+1)=0\)
\((x+1)(x+6)=0\)
Set the factors equal to 0.
\(x+1=0\\x=-1\)
\(x+6=0\\x=-6\)
_____ is the tendency to emit repeatedly the same verbal or motor response to varied stimuli.
Answer:
perseveration
Step-by-step explanation:
The term you are looking for is "perseveration."
Which of the following best describes the type of probability used in the
scenario below?
A bag has 10 red marbles, 7 blue marbles, and 12 yellow marbles. The probability of drawing a yellow at random is 12/29.
A. Random
B. Empirical
C. Unpredictable
D. Theoretical
Answer:
D. Theoretical
Step-by-step explanation:
The probability is based on the number of marbles in the bag. It is the theoretical probability. It is the likelihood that a yellow marble will be picked
HELP PLEASE!!! will give brainliest!!
Domain and range from graph
What is the range of g?
Answer:
[-4,9)
Step-by-step explanation:
im like 99% sure this is right bc i just did a problem like this (:
Answer:
-13
Step-by-step explanation:
i got it by sibtracting 9 and -4
What answers go in the boxes?
Answer:
Given, Addition Property of Equality, and Division Property of Equality
Step-by-step explanation:
Given 18-2x=4x,
You use the addition property of equality and add 2x to each side to get 18=6x,
and you use the division property of equality and divide each side by 6 to get 3=x.
Answer:
The first box is given since the program is restating the equation.The second box is addition property of equality since the equation is simplified after the 2x was added on both sides of the equation. The third box is division property of equality since 3 = x is the result of 18/6.