Answer:
Normality assumptions are met.
The 90% confidence interval for the proportion of adult drivers that run at least one red light in the last month is (0.4892, 0.5356). The interpretation is that we are 90% sure that the true proportion of all adult drivers than ran at least one red light in the last month is between these bounds.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Out of 1251 adult drivers, 641 of them have run at least one red light in the last month.
This means that [tex]n = 1251, \pi = \frac{641}{1251} = 0.5124[/tex]
Normality assumptions:
We need that: [tex]n\pi[/tex] and [tex]n(1-\pi)[/tex] are 10 or greater. So
[tex]n\pi = 1251*0.5124 = 641[/tex]
[tex]n(1-\pi) = 1251*0.4876 = 610[/tex]
So the normality assumptions are met.
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 - 1.645\sqrt{\frac{0.5124*0.4876}{1251}} = 0.4892[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 + 1.645\sqrt{\frac{0.5124*0.4876}{1251}} = 0.5356[/tex]
The 90% confidence interval for the proportion of adult drivers that run at least one red light in the last month is (0.4892, 0.5356). The interpretation is that we are 90% sure that the true proportion of all adult drivers than ran at least one red light in the last month is between these bounds.
Levin Furniture buys a living room set with a $4,900 list price and a 50% trade discount. Freight (FOB shipping point) of $45 is not part of the list price. What is the delivered price (including freight) of the living room set, assuming a cash discount of 4/10, n/30, ROG? The invoice had an April 8 date. Levin received the goods on April 19 and paid the invoice on April 25.
Delivered price = $Answer:
Answer:Delivered price=$1,814
Step-by-step explanation
Explanation:
List Price = $4,000
Trade discount = 55%
Price after discount = $4,000 - 55% x $4000
$4000- $2,200 = $1,800
if Levin pays within 10 days he will have a discount of 2 %, which he did
Therefore 2% x $1800 = $36
Delivered price = $1800 -$36+ freight charges ( shipping)
$1800 -$36 + $50=$1814
What is the sum of the largest and smallest recorded capacity?
Sighient Store
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The accompanying table contains the individual demand schedules of dark chocolate for Vanessa and Angela. Assuming
they are the only people in the market for dark chocolate, place each of their individual demand curves and the market
demand curve at the correct locations on the accompanying graph.
Price of dark
Pounds of dark chocolate Pounds of dark chocolate
chocolate
demanded by Vanessa
demanded by Angela
(per pound)
$8
1
3
%
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$1
3
5
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0%
Market for Dark Chocolate
10
0%
Vanessa
Angela
Market
9
0%
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PLEASE HELP! Which of the following teams will have a greater standard deviation in their heights ?
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
yes
Step-by-step explanation:
2 + 16(1) = 18
2+16 = 18
2(2) + 11(1) = 15
4+11=15
Please help me find the volume!
Answer:
8.66
Step-by-step explanation:
If it helps, volume is LENGTH x WIDTH x HEIGHT, and for a triangular prism, each side is the same. :)
Patty's pet puppy, Oreo, liked to lie down on a small carpet by the door. The
carpet was 1 { feet long and 3 feet wide. What is the perimeter of the
carpet?
Answer this correctly I’ll give brainalist + 10 points
the sum of supplementary angles is 180 degree
therefore
x +2x = 180°
3x = 180
X = 180/3 = 60°
the value of X is 60°
What is the approximate area of the circle shown below?
Answer:
A
Step-by-step explanation:
How many notebooks do you think it would take to make a stack that is 5 feet high?
Answer:
There are total 30 books in the 5 feet high stack of books.
Step-by-step explanation:
The complete question is
Given, Each note book is 2 inches thick, How many notebooks do you think it would take to make a stack that is 5 feet high
Solution
Thickness of each book [tex]= \frac{2}{12} = \frac{1}{6}[/tex]
The total height of the book stack is [tex]5[/tex] feet.
The number of books in the stack is equal to total height of the stack divided by the thickness of one book
Number of books in five feet high stack is
[tex]\frac{5}{\frac{1}{6} } \\5 * \frac{6}{1} \\30[/tex]
Hence, there are total 30 books in the 5 feet high stack of books.
Use the figure for 1-4.
E
HT
F
K
А
D
B
2. Use geometry notation to identify a ray.
Answer: the ray is K to A
Step-by-step explanation: a ray can be defined as a part of a line that has a fixed starting point (being K) but no fixed end point
(I would like to see the answer choices please)
helppppppp pleaseeee
Answer:
A
Step-by-step explanation:
2.5 x 3.4 = 8.5
Does this graph represent a function? Why or why not?
-10 -884
O A. Yes, because it passes the vertical line test.
O B. Yes, because it passes the horizontal line test.
C. No, because it is not a straight line.
D. No, because it fails the vertical line test.
Which is larger ? A : 13 + 1.05g B : 12 + 1.50g
So if the value of the solid's surface area is equal to the volume. Find the value of x
The height of the solid is 5in and the width is 6in. X is the value of the length
Answer:The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 11 inches long and 3 inches wide. Height is not listed.
The height of the solid is 5in and the width is 6in. X is the value of the length
4
Step-by-step explanation:
I'll send a photo of the problem! :)
Answer:
ok
Step-by-step explanation:
Find the value of 2.
35°
xº
(x + 95)°
Answer:
x = 25°
Step-by-step explanation:
The sum of the interior angles of a triangle = 180°
180° = 35° + x° + x + 95°
2x° = 50°
x = 25°
Solve using synthetic division: (x^2+4)/(x+4)
Answer:
x-4+(20)/(x+4)
jen wants to plant trees in her garden that require 10 feet of soace per tree . how many trees can she plant in her garden
Answer:
Step-by-step explanation:
1+1=22 SO 10 FEET OF THAT WILL BE UP YOU A
SS
Answer:
Step-by-step explanation:
1+1=22 so 10 feet of that will be up you a
simplify 5p - 3 p + p
the answer is 3p
hope it helps!
Answer: 3p
Step-by-step explanation:
5 − 3 + =
3
ASAP PLZ I WILL GIVE BRAINLIEST
The sum of a number and twenty-one is shy-four What is the value of the number? The number equals
Answer:
43
Step-by-step explanation:
64-21= 43
Answer:
The answer is 43
Step-by-step explanation:
21+x=64 x=64-21 x=43
A store is advertising a 40% off sale. Find the new price of a pair of boots that were originally marked $149.00.
Answer:
89.4
Step-by-step explanation:
Okay well if 149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4
149*0.60=89.6
Which number line shows all the values of x that make the inequality -3x+1<7 true?
Answer: the answer is b
Step-by-step explanation: because open is< or >
The number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.
What is the number line?The number line is the way of representation of number and digits in a arranged form to understand the data batter.
The given inequality in the problem is,
[tex]-3x+1 < 7[/tex]
Subtract 1 both side of the equation and solve it further,
[tex]-3x+1-1 < 7-1\\-3x < 6[/tex]
Divide with number 3,
[tex]-x < \dfrac{6}{3}\\-x < 2[/tex]
Change the sign of the inequality by filliping the inequality sign,
[tex]x > -2[/tex]
Here, the inequality is greater than the number negative 2. The value of x is greater than, thus, the arrow will point towards left and there will be open circle. This is shown in the option D.
Thus, the number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.
Learn more about the number line here;
https://brainly.com/question/24644930
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Oil prices are projected to increase by 100% by next June. A quart of oil currently costs $2.45. What is the projected cost of a gallon of oil next June? Round your answer to the nearest hundredth.
Answer:
4.9
Step-by-step explanation:
100% of 2.45 is 2.45.
We add 2.45 + 2.45 which is 4.9.
Can I get brainliest?
Answer:
19.60
Step-by-step explanation:
4. Solve this equation for x. Please show work. 4√x + 3 + 3 = 15
Answer:
i don't know sorry b a b y g i r l
Step-by-step explanation:
The first person that guess what game I play get free games...
Answers
rblx or among us
and I need help in math good luck
Answer:
amoug us
Step-by-step explanation:
For which system of equations is the graph below a solution?
Answer:
the answer for the graph and equations would be option D
A car la 160 inches long
A truck is 7percentage longer thanks they car
Answer:
171.2
Step-by-step explanation:
7% x 160 = 11.2
11.2 + 160 = 171.2
Maxine Frase plans to bake 12 dozen peanut butter cookies. She will use a recipe in
mperial más. The cookies are baked at 360 °F for 20 minutes.
Ingredients to make 3 DOZEN
1 cup peanut butter
cap chopped peanuts
2 eges
$ cuoces light brown sugar
pomd cake flour
1 teaspoon bicarbonate of soda
pinch of salt
Conversion Table
1 pound = 16 ounces = 480 g
1 teaspoon = 5 ml
250 ml
Convent cup to millilitres.
Answer:
What I don’t understand is this a question or a recipe
Step-by-step explanation:
Find the circumference of the circle.
Answer:
it is 18.84
Step-by-step explanation: