A study is conducted to determine how long a person will wait on hold on a telephone call before hanging up. A sample of 1000 people found that 569 hung up the phone in the first minute of waiting. It is of interest to estimate a range of plausible values for the true proportion of people that will not wait more than one minute on hold. Round all answers to three decimal places.(a) Construct a two-sided 95% confidence interval for p, the true proportion of people that will not wait on hold more than one minute. This confidence interval is ______
Answer:
CI = ( 0,539 ; 0,599)
Step-by-step explanation:
The proportion p₀ of person that hung up the phone in the first minute of waiting is:
p₀ = 569/1000 p₀ = 0,569 p₀ = 56,9 %
Then q₀ = 1 - 0,569 q₀ = 0,431 q₀ = 43,1 %
Sample size is n = 1000
A 95 % CI is: α = 5 % α = 0,05 a/2 = 0,025
In z-table we look z ( score ) for 0,025 z = ± 1,96
Now CI for proportion is:
p₀ - z (α/2) * √ (p₀*q₀ )/n < p < p₀ + z (α/2) * √ (p₀*q₀ )/n
we need to find out
z(α/2) * √ (p₀*q₀ )/n = 1,96*√ ( 0,569*0,431)/1000 = 1,96 *0,01566 =0,03
Then
CI ( 95%) = 0,569 ± 0,03 = ( 0,569 - 0,03 ; 0,569 + 0,03)
CI = ( 0,539 ; 0,599)
Graph the line with slope
4/3
and y-intercept -9.
The graph is shown in the attached image.
The graph of the line is a straight line with points on are: (0, -9), (3, -5) and (6, -1).
Given that a line has a slope of 4/3 and the y-intercept is -9, we need to graph the line,
To graph the line with a slope of 4/3 and a y-intercept of -9, we can use the slope-intercept form of a linear equation, which is y = mx + b.
Here, the slope (m) is 4/3, and the y-intercept (b) is -9.
Start by plotting the y-intercept, which is the point (0, -9).
Next, use the slope to determine the direction of the line. The slope 4/3 means that for every 4 units you move up, you need to move 3 units to the right.
So, from the y-intercept (0, -9), move up 4 units and then move to the right 3 units to find the next point on the line. This point would be (3, -5).
Repeat this process to find more points on the line. Move up 4 units and to the right 3 units from the previous point (3, -5) to get (6, -1).
You can continue this process to find more points if desired.
Once you have a few points, connect them with a straight line to graph the line.
The graph of the line with a slope of 4/3 and a y-intercept of -9 is attached in the solution.
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Malik purchased a pair of roller blades that were originally priced at $250 for a sale price of
$180. He charged the roller blades on his credit card and made the minimum monthly
payment of $20. When he received his first statement, he read that the minimum finance
charge for each month that there was a balance on the card would be $15. How many
months will Malik need to pay off the roller blades? (Assume that a minimum finance
charge of $15 will apply to all balances of $250 or less.)
Answer:f he made a first payment of $20 shortly after the purchase, he would have a balance of $180-$20=$160, before they applied the first $15 finance charge, but he will see a balance of $180-$20+$15=$175 (with the finance charge) in that first statement.
Each month, his balance will change by -$20+$15=-$5, so it will take him, another 32 payments to reduce that $160 to $0. That month, he will pay the $20 balance to get a balance of zero, and hopefully see no more finance charges.
In all, paying the minimum $20 payment each month, Malik will make 33 such payments for a total of $660. If he saved $20 per month, he could have saved $180 in 9 months, or $260 in 13 months, and he would have saved a lot of money. He would probably have to pay the $250 regular price, and would have missed about a year of roller blading, but he would have saved $660-250=$410.
Step-by-step explanation:
Determine if the triangle are similarity side-side-side similarity
Use a half-angle formula to find the exact value of the expression.
Step-by-step explanation:
The answer is
[tex] \sqrt{2} - 1[/tex]
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I can help you solve what you want in mathematics in exchange for some money. If you want to, you can inform me about it and I will help you.
find the ratio 3600sec is to 2hours
Answer:
30:1
Step-by-step explanation:
what the total area of a rectangular prism with a hight of 17feet a width of 12 feet and a thickness of 10 feet ?
Answer:
[tex]A=988\ \text{feet}^2[/tex]
Step-by-step explanation:
Given that,
The height, width and the thickness of a rectangular prism are 17 feet, 12 feet and 10 feet.
We need to find the area of a rectangular prism. The formula for the ara of rectangular prism is given by :
[tex]A=2(lb+bh+hl)[/tex]
Substitute all the values,
[tex]A=2(17\times 12+12\times 10+10\times 17)\\\\A=2\times 494\\\\A=988\ \text{feet}^2[/tex]
So, the area of the rectangular prism is equal to [tex]988\ \text{feet}^2[/tex].
can someone teach me how this goes? geometry , inscribed angles but circles
Answer:
60
Step-by-step explanation:
So basically all you need to know for this one is that when there is an inscribed angle, the angle measure is 1/2 of the measure of the arc for that angle.
That might sound confusing, but an example from the picture is that angle ABC will be half of arc AC. This means that angle ABC is 1/2 of 120 = 60 degrees.
The answer is 60 degrees.
Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108. He found that the average self-esteem score for this sample was 135.2, well above the actual midpoint of the scale. Given that the standard deviation of self-esteem scores was 28.15, what would the z score be for a person whose self-esteem score was 101.6
Answer:
The z-score for a person whose self-esteem score was 101.6 would be of -0.227.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108.
This means that [tex]\mu = 108[/tex]
The standard deviation of self-esteem scores was 28.15
This means that [tex]\sigma = 28.15[/tex]
What would the z score be for a person whose self-esteem score was 101.6
This is Z when X = 101.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{101.6 - 108}{28.15}[/tex]
[tex]Z = -0.227[/tex]
The z-score for a person whose self-esteem score was 101.6 would be of -0.227.
how do you write f(x)=2x² -8x+6 in factored form ?
Answer:
Step-by-step explanation:
[ x^3 + x^2 ] + [ x^2 - 5x - 6 ] =
x^2 ( x + 1) + (x + 1) ( x - 6) =
(x + 1) ( x^2 + x - 6) =
( x + 1) ( x + 3) ( x - 2)
Maybe this?
I need this fast pls
Answer:
D
Step-by-step explanation
-2 1/2 is less than -1 1/2, s -2 1/2<-1 1/2
pls help
When you multiply a fraction by a whole number, you can use the property to regroup factors to make it easier to multiply since the product
remains true. 3/4 * 7= 7 * 3/4.*
A. Communitive Property
B. Associative Property
C. Distributive Property
pleaase help!
Find h. 11 in. h = ✓ [?] in. 14 in Enter
Answer:
[tex]h=8.48\ \text{inches}[/tex]
Step-by-step explanation:
Given that,
Radius of cone, r = 7 inches
Slant height of the cone, l = 11 inches
We need to find the height of the cone. Let the height be h. Using trigonometry to find it as follows :
[tex]h^2+r^2=l^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{11^2-7^2}\\\\h=8.48\ \text{inches}[/tex]
So, the height of the cone is equal to [tex]8.48\ \text{inches}[/tex].
Heya!
Answer:
√72
Step-by-step explanation:
Use Pythagorean:
h² + (14/2)² = 11²
h² + 49 = 121
h² = 121 - 49
h² = 72
h = √72 in
Hope this helps <33
Consider the exponential function of f(x) =10(2)x. Find the value of f (0). What point does this represent on the graph of y=f (x)? Is this an increasing or decresasing function? How can you tell based on its equation.
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
PLS HELP!! :))
Find the surface area of a sphere with a diameter of 8 ft. Round your answer to the
nearest tenth.
The length of a rectangle is 12 miles less than twice the width. The perimeter of the rectangle is 96 miles. Find the dimensions of the rectangle.
Answer:
Length= 68 miles
Width=28 miles.
Step-by-step explanation:
Length=2x+12
Width=x
2x+12+x=96
3x+12=96
3x=96-12
3x=84
X=28
Width=28
Length=(2×28)+12=68
The store sells a 9 ounce jar of mustard for $1.53 and a 15 ounce for $2.55 explain whether the cost of the mustards have the same unit rate per ounce
Answer:
same amount of money
Step-by-step explanation:
The unit rate for a 9-ounce jar is $0.17.
The unit rate for a 15-ounce jar is $0.17.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
The store sells a 9-ounce jar of mustard for $1.53.
The unit rate.
= 1.53/9
= 0.17 _____(1)
The store sells a 15-ounce for $2.55.
The unit rate.
= 2.55/15
= 0.17 ______(2)
From (1) and (2) we see that,
The unit rate is the same.
Thus,
The unit rate is the same.
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pls hurry i don’t need a explanation just a answer
Answer:
Surface area of the triangular prism = 368 m²
Step-by-step explanation:
Surface area of the triangular prism = Area of the triangular bases + Area of the lateral sides
Area of the triangular base = [tex]\frac{1}{2}(\text{Bases})(\text{Height})[/tex]
= [tex]\frac{1}{2}(12)(8)[/tex]
= 48 m²
Area of the lateral sides = (Perimeter of the base) × Height
= (10 + 10 + 12)×10
= 320 m²
Surface area of the triangular prism = 320 + 48
= 368 m²
Therefore, surface area of the triangular prism = 368 m²
don’t send links; PLEASE HELP FAST I WILL DO ANYTHING, I’LL GIVE U 2K ON BLOXBURG
Answer:
i think its 90
Step-by-step explanation:
you would multiply the right box which is 2 x 3 ( i got 3 because its half of 6 which is at the top) then you would multiply the left box which is 3 x 5
2 x 3 = 6
3 x 5 = 15
15 x 6 = 90
i dont need the 2k on bloxburg
if its right could i get brainliest?
Which choice is more than 12 but less than 13?
A-√170
B-√150
C-√144
D-√140
help me please thanks
Answer:
325m = c
Step-by-step explanation:
Each meeting room has 325 chairs.
Since we don't know how many meeting rooms there are, the number is replaced with the variable, m.
An equation is a problem with an equals sign so you need to put what it would equal.
Since you don't know how many meeting rooms there are you use the variable, c which represents the total number of chairs.
HELP WILL GIVE BRAINLIEST IF CORRECT
PLZ HELP ME DO THIS ITS DUE RN
Answer:
least to greatest: -5 and 1
Step-by-step explanation:
they represent the zeroes of the function and are sorted from least to greatest
Consider this absolute value function.
f(x) = |1 + 3|
How can function fbe rewritten as a piecewise function?
Answer:
The function [tex]f(x) = |x+3|[/tex] can be rewritten in the following form:
[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]
Step-by-step explanation:
According to the definition of absolute value, we know that:
[tex]f(a) = \left\{\,\begin{array}{ccc}a\,\,\,a\ge 0\\-a\,\,\,a < 0\end{array}[/tex]
According to this, we can define [tex]f(x) = |x+3|[/tex] in the following form:
[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]
Answer:
The correct order is in the picture i attatched:)
Step-by-step explanation:
Hope this helps explain a little better:)
Can someone help please
Answer:right scalene
Step-by-step explanation:
name the property that justifies each statement -3(m+8)=-3m-24
Answer: Distributive Property
Explanation: The distributive property tells us that if we're given an expression such as -3(m + 8), we can multiply the -3 by both the m and the 8.
A company makes 140 bags.
37 of the bags have buttons but no zips.
38 of the bags have zips but no buttons.
38 of the bags have neither zips nor buttons.
How many bags have zips on them?
Write an equation for the polynomial graphed below
y(x) =
Question 16
4 Points
Using the formula 1 = PRT, find I when P = 3634, R = 6% and T = 7. Round your answer to the nearest penny. Enter only the value
without the $.
Round your answer to 2 decimal places.
Add your answer
Eight adults are surveyed and asked how many credit cards they possess. Their responses are 4, 0, 3, 1, 5, 2, 2, and 3. Complete the table below.
x
x Overbar
x minus x Overbar
(x minus x Overbar) squared
4
2.5
0
2.5
3
2.5
1
2.5
5
2.5
2
2.5
2
2.5
3
2.5
Using the formula for standard deviation
Sigma = StartRoot StartFraction Sigma-summation (x minus x Overbar) squared Over n EndFraction EndRoot
find the standard deviation for the data in the table.
a. StartRoot 0 EndRoot
b. 0
c. 2.25 almost-equals 1.5
d. 2.25
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation: