The given statement when calculating the standard error for p-hat, we use the p-hat not the p under h null is false.
When calculating the standard error for p-hat (the sample proportion), we use the value of p under the null hypothesis (p₀) rather than the observed sample proportion (p-hat). This is because the standard error is an estimate of the variability or uncertainty in the sample proportion compared to the population proportion assumed under the null hypothesis.
The standard error formula for p-hat is:
SE(p-hat) = sqrt[(p₀ * (1 - p₀)) / n]
Here, p₀ represents the hypothesized population proportion under the null hypothesis, and n is the sample size. We use p₀ because it represents the proportion assumed to be true in the population when there is no evidence to reject the null hypothesis.
Using p-hat (the observed sample proportion) instead of p₀ would not accurately reflect the assumptions made under the null hypothesis and could lead to incorrect inference and conclusions.
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Name the property the equation illustrates: 8(9 * 6) = 6(9 * 8)
The radius of a circle is 12.7 ft. Find the circumference to the nearest tenth.
Answer:
506.7 ft
Step-by-step explanation:
plug into the equation: C = πr2
C = (π)(12.7)^2
Answer:79.8
Step-by-step explanation:
55g as a percentage of 2.2kg
Answer:
2.5%
2.2kg=2200g
[tex] \frac{x}{100} \times 2200 = 55 \\ 22x = 55 \\ x = 2.5\%[/tex]
a radio commercial for a loan company states "you pay 25 © a day for each $500 borrowed"if you borrow $1,693 for 120 days, what amount will you repay and what annual interest rate is the company actually charging (assume a 360 day year)
a) amount you repay= (round to two decimal places)
b) annual interest rate= (round to four decimal places)
a) The amount you will repay is approximately $12,000.
b) The annual interest rate charged by the loan company is approximately 18.2715%.
To calculate the amount you will repay and the annual interest rate charged by the loan company, we can follow these steps:
Step 1: Calculate the number of $500 increments for the loan amount:
Number of $500 increments = loan amount / $500
= $1,693 / $500
≈ 3.386
Since we can't have a fraction of an increment, we round up to 4.
Step 2: Calculate the daily payment:
Daily payment = 25 © * Number of $500 increments
= 25 © * 4
= $100
Step 3: Calculate the total repayment amount:
Total repayment amount = Daily payment * number of days
= $100 * 120
= $12,000
Step 4: Calculate the annual interest rate:
Annual interest rate = (Total repayment amount - Loan amount) / Loan amount * (360 / Number of days)
= ($12,000 - $1,693) / $1,693 * (360 / 120)
Now, let's perform the calculations:
Amount you repay ≈ $12,000
Annual interest rate ≈ (($12,000 - $1,693) / $1,693) * (360 / 120)
Calculating the annual interest rate:
Annual interest rate ≈ (($10,307) / $1,693) * 3
Rounding to four decimal places:
Annual interest rate ≈ (6.0905) * 3
≈ 18.2715
Therefore,
a) The amount you will repay is approximately $12,000.
b) The annual interest rate charged by the loan company is approximately 18.2715%.
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Last Friday Adam had $22.33. Over the weekend he received some money for cleaning the attic. He has now $32. How much money did he receive?
Answer:
$9.27
Step-by-step explanation:
Answer:
9.77$
Step-by-step explanation:
32 - 22.33 = 9.77
A building contractor needs 500 sheets of drywall. Which is the most cost-effective way to buy them?
50 sheets at a time for $600
100 sheets at a time for $800
250 sheets at a time for $2,500
500 sheets at a time for $4,500
Answer:
The answer is B
Step-by-step explanation:
IF YOU ACUALLY DO THE MATH.....
100 x 5= 5000 so 800 times 5 is 4000.
4000 is less than 4500 so b is for a better price.
DO NOT LISTEN TO THE PERSON ABOVE ME PLEASE!!!! HE IS WRONG. 4500 IS WAY MORE THAN 4000. PLZ GIV BRAINLIEST TOO.:DAnswer:
A-50 sheets at a time for $600 =6000
Step-by-step explanation:
b 100 sheets at a time for $800=4000
c 250 sheets at a time for $2,500=5000
d 500 sheets at a time for $4,500=4500
Which is higher well A
PLZZZ HELP MEEE
What would the image of (3,3) be after a dilation of 1/3?
A) (9,9)
B) (1,1)
guys I need helpppp plsss ??
2.50x + 15.00 = 1.00x
what is x?
Answer:
x = -10
Step-by-step explanation:
Step 1: Write equation
2.50x + 15.00 = 1.00x
Step 2: Solve for x
Subtract 1.00x on both sides: 1.50x + 15.00 = 0Subtract 15.00 on both sides: 1.50x = -15.00Divide both sides by 1.50: x = -10Step 3: Check
Plug in x to verify it's a solution.
2.50(-10) + 15.00 = 1.00(-10)
-25 + 15.00 = -10
-10 = -10
Answer:
x = -10
Step-by-step explanation:
multiply both sides by 10:
2.50x*10+15*10=1.00x*10
Refine:
25x + 150 = 10x
Subtract 150 from both sides:
25x + 150 - 150 = 10x - 150
Simplify:
25x = 10x - 150
Subtract 10x from both sides:
25x - 10x = 10x - 150 - 10x
Simplify:
15x = -150
Divide both sides by 15:
15x/15 = -150/15
Simplify:
x = -10
8. if u is uniform on [0,1], find the density function of √u .
The density function of √u, where u is uniformly distributed on [0,1], is f(v) = 2√v for 0 ≤ v ≤ 1.
To find the density function of √u, where u is uniformly distributed on the interval [0,1], we can use the transformation method.
Let's denote the random variable √u as v = √u. We want to find the probability density function (PDF) of v.
First, we find the cumulative distribution function (CDF) of v:
F(v) = P(v ≤ x) = P(√u ≤ x) = P(u ≤ x²) = x², for 0 ≤ x ≤ 1.
Next, we differentiate the CDF to obtain the PDF of v:
[tex]\begin{equation}f(v) = \frac{d}{dv} F(v) = \frac{d}{dv} (x^2) = 2x, \quad 0 \leq x \leq 1[/tex]
However, we need to express the PDF in terms of v, not x. Since v = √u, we can substitute x = √v into the PDF:
f(v) = 2√v, for 0 ≤ v ≤ 1.
Therefore, the density function of √u is f(v) = 2√v, for 0 ≤ v ≤ 1.
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HELP please i need help
Answer:
d. 132
Step-by-step explanation:
x + wz
= 12 + 8(15)
= 132
Which of the following is an equation of the line with slope 2 that passes through the point (-1,-4)
Answer:
y = 2x - 2
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = 2x + b Substitute Slope
Step 3:
- 4 = 2 ( - 1 ) + b Substitute x and y
Step 4:
- 4 = - 2 + b Multiply
Step 4:
- 2 = b Add 2 on both sides
Answer:
y = 2x - 2
Hope This Helps :)
What is the slope? Please answer asap
Answer:
1/2
Step-by-step explanation:
it goes up 1 and over 2 every point
i’m dumb oop heh
2b^2
b=8
Hi there.
Thanks for submitting your question.
b = 8
Set up equation: 2(8)^2
This is not the proper way to set up the equation.
Real equation: 2 x 8^2
Then, write the equation in exponential form with the base of 2.
2 x 2^6
Calculate the product.
2^7
2^7 = 128
Therefore our answer is 128.
Thanks for using Brainly.
- Tutor John
3x + 2y = 16
4x - y =29
i managed to get x but i cant seem to get y right
You found x, right?
Now, plug the value of x into either of the given equations to find y.
I found x to be 7 and y to be -1.
We can also express the answer as
(x, y) = (7, -1).
9514 1404 393
Answer:
(x, y) = (6 8/11, -2 1/11)
Step-by-step explanation:
Add twice the second equation to the first:
(3x +2y) +2(4x -y) = (16) +2(29)
11x = 74 . . . . simplify
x = 74/11 = 6 8/11
Substitute this into the second equation to find y.
4(74/11) -y = 29
(26 10/11) - 29 = y = -2 1/11
The solution is (x, y) = (6 8/11, -2 1/11).
Determine the following probabilities a. For n-5 and π= 0.16, what is P(X:0)? b. For n 9 and x-0.50, what is P(X 8)? c. For n 9 and -0.40, what is P(X-7)? d. For n-6 and x-0.81, what is P(x-5)? a·When n 5 and x=0.16,PR=0)= Round to four decimal places as needed.) b. When n-9 and x -0.50, P(X 8) Round to four decimal places as needed.) c. When n-3 and π: 0 40, P(x-7)-[) Round to four decimal places as needed.) d. When n -6 and 0.81, P( 5) Round to four decimal places as needed)
P(X = 0) = 0.335 Probability = 0.335.The given formula for probability distribution is:P(X) = (n! / x! (n - x)!) * πx * (1 - π)n - xwhere, P = Probability X = Random variable, n = Total number of trialsπ = Probability of success. Let us consider the given probabilities:(a) For n - 5 and π = 0.16, what is P(X:0)?When n = 5 and x = 0, then n - x = 5.
Therefore,
P(X = 0) = (5! / 0! (5 - 0)!) * (0.16)0 * (1 - 0.16)5 - 0= (1 / 1) * 1 * 0.3277= 0.3277Round off the answer to four decimal places as needed.P(X = 0) = 0.3277.(b) For n 9 and x-0.50, what is P(X 8)?When n = 9 and x = 8, then n - x = 1. Therefore,P(X = 8) = (9! / 8! (9 - 8)!) * (0.50)8 * (1 - 0.50)9 - 8= (9 / 1) * 0.00390625 * 0.5= 0.0176.
Round off the answer to four decimal places as needed.P(X = 8) = 0.0176(c) For n 9 and -0.40, what is P(X-7)?When n = 9 and x = 7, then n - x = 2. Therefore,P(X = 7) = (9! / 7! (9 - 7)!) * (0.40)7 * (1 - 0.40)9 - 7= (36 / 1) * 0.0809856 * 0.027= 0.0807.
Round off the answer to four decimal places as needed.P(X = 7) = 0.0807(d) For n-6 and x-0.81, what is P(x-5)?When n = 6 and x = 5, then n - x = 1. Therefore,P(X = 5) = (6! / 5! (6 - 5)!) * (0.81)5 * (1 - 0.81)6 - 5= (6 / 1) * 0.3252718081 * 0.19= 0.3727Round off the answer to four decimal places as needed.P(X = 5) = 0.3727.
To determine the given probabilities, the probability distribution formula has been used. The formula used is:P(X) = (n! / x! (n - x)!) * πx * (1 - π)n - xWhere,P is the probability,X is the random variable,n is the total number of trials, andπ is the probability of success. The first probability is to calculate the probability for n - 5 and π = 0.16, what is P(X:0)?The value of x is zero, and n - x is 5. The formula is applied to get the probability, and it is rounded off to four decimal places as needed. The second probability is to calculate the probability for n 9 and x-0.50, what is P(X 8)?The value of x is 8, and n - x is 1. The formula is applied to get the probability, and it is rounded off to four decimal places as needed. The third probability is to calculate the probability for n 9 and -0.40, what is P(X-7)?The value of x is 7, and n - x is 2. The formula is applied to get the probability, and it is rounded off to four decimal places as needed. The fourth probability is to calculate the probability for n -6 and x-0.81, what is P(x-5)?The value of x is 5, and n - x is 1. The formula is applied to get the probability, and it is rounded off to four decimal places as needed.
Therefore, the probabilities for different values of n, x, and π have been calculated by using the probability distribution formula.
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Please help! Solve for t.
19= 9t
Answer:
t= 19/9
Step-by-step explanation:
. Bailey just started an experiment. He will collect data for 8 days. How many hours is this?
HELP ASAP!
WILL GIVE BRAINLIEST!!!
Gasoline costs $3.19 per gallon. How much does it cost to drive the 828 miles to Seattle if your car gets 25 miles per gallon? Use the dimensional analysis (conversion factors)
Answer:
$105.65
Step-by-step explanation:
828 / 25 = 33.12 gallons needed
33.12 x 3.19 = $105.65
If a = 1 and b = 2, how many times can bisection occur before there are no floating-point numbers in the interval (a, b) (in other words, a and b are adjacent floating-point numbers)
Bisection can occur an infinite number of times before there are no floating-point numbers in the interval (a,b).
Bisection refers to dividing an interval into two equal subintervals, as shown below:
First, divide the interval in half, and if the function changes sign over the interval, repeat the process with the subinterval that has the sign change until the endpoints are adjacent floating-point numbers.Thus, the interval [1,2] can be divided into two subintervals: [1,1.5] and [1.5,2]. Since both subintervals include floating-point numbers, we can bisect them again.
We now have four subintervals: [1,1.25], [1.25,1.5], [1.5,1.75], and [1.75,2]. All four subintervals include floating-point numbers, so we can bisect each of them. We now have eight subintervals, and all of them include floating-point numbers. We can continue this process indefinitely because there are an infinite number of floating-point numbers in the interval (1,2).
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16.
a. Use the distributive property to write an equivalent expression for: 3(x-4y)-267 +7x)
Answer:
Could be a mix of answers
Step-by-step explanation:
6(x-7y)-300+9y) is what would do
7 – 3x = 28
What’s the answer
Answer:
x = -7
Step-by-step explanation:
7 - 3x = 28
-3x = 21
x = -7
Best of Luck!
(2x−5)(2x−1) delta math
Answer:
I think this answer helps you.Step-by-step explanation:
I hoped this helpful Thank youWhat is the name of the scientist that studies fear?
Answer:
It could be a neuroscientist, psychologist, or psychiatrist who is conducting research, depending on if it is believed that the fear is part of Nature or Nurture.
Step-by-step explanation:
Which polynomial function could be represented by the graph below?
On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 3), and goes through (4, 0).
f(x) = x2 – 6x + 8
f(x) = 3x2 – 18x + 24
f(x) = x2 + 6x + 8
f(x) = 3x2 + 18x + 24
Answer:
f(x) = 3x2 – 18x + 24
Step-by-step explanation:
Answer:B
Step-by-step explanation:
Manny and Ada pool their money from a fundraiser Manny raised $7 less than twice what Ada raised. Manny made $45 more than Ada. How much money did Ada raise
Given parameters:
To solve this problem, we need follow it stepwisely.
Let the amount raised by Manny = M
amount raised by Ada = A
Now, let us go through the problem sentence by sentence and interpret it algebraically;
Manny raised $7 less than twice what Ada raised.Algebraically;
M = 2A - 7 ----- (I)
Manny made $45 more than Ada.M = A + 45 ----- (II)
Now that we have established two equations we can equate them and solve for A;
2A - 7 = A + 45
2A - A = 45 + 7
A = 52
Ada raised $52 during the fundraiser event.
The formula for the perimeter (P) of a rectangle is
P= 21 + 2w, where / represents the length and w represents
the width. What is the perimeter ofa rectangle that has a length of 7 centimeters and a width of 4 centimeters?
Answer:
p=30 cm
Step-by-step explanation:
so the formula there is to find the perimeter of the rectangle so we are going to use that
Find the midpoint of the line segment with the given end point. (7,2) and (9,-7).
(8,-5/2) or (8,-2.5)
(7,2) (9,-7)
9+7 -7+2
2 2
16 -5
2 2
(8, -5/2) or (8,-2.5)
what is a half plus a half
Answer:
1
Step-by-step explanation:
Given A(4, 2) and B(-1, y) and the graph
of line t below, find the value of y so that
AB It.
Answer:
y = 9
Step-by-step explanation:
To solve this question we will use the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
Where [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of two lines perpendicular to each other.
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of a line which passes through the points A(4, 2) and B(-1, y) will be
[tex]m_1=\frac{y-2}{-1-4}[/tex]
[tex]=-\frac{y-2}{5}[/tex]
Slope of the line given in the graph [passing through (2, 4) and (-5, -1)]
[tex]m_2=\frac{4+1}{2+5}[/tex]
[tex]m_2=\frac{5}{7}[/tex]
From the property of perpendicular lines,
[tex]\frac{-(y-2)}{5}\times \frac{5}{7}=-1[/tex]
[tex]\frac{5(y-2)}{35}=1[/tex]
5y - 10 = 35
5y = 45
y = 9
