Answer:
The estimate the proportion of college students who drive cars with manual transmissions with 90% confidence is
[tex]0.171 < p < 0.297 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 124
The population proportion p = 0.06
The number of cars with manual transmissions is k = 29
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ 29 }{124 }[/tex]
=> [tex]\^ p = 0.234[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.234 (1- 0.234 )}{124} } [/tex]
=> [tex]E = 0.063 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.234 - 0.063 < p < 0.234 + 0.063 [/tex]
=> [tex]0.171 < p < 0.297 [/tex]
Find the Values of X and Y in the diagram. PLZ HELP
Answer: x is 47, y is 75
Step-by-step explanation:
Meg's Bakery sells the following items.
• one cinnamon roll for $2.50 or four for $10.00
• one pie for $12.50 or two pies for $22.00
• a dozen brownies for $9.00
A. Determine if there is a proportional relationship between cinnamon rolls and the cost of cinnamon rolls. If there is determine the unit rate.
Answer:
it is $2.50 multiplied by 4
Step-by-step explanation:
this is because for every 1 cinnamon roll it is $2.50 and if you multiply that by 4 you get $10, or how much it costs for 1 roll
Nadia is a stockbroker. She earns a 12% commission each week. Last week, She sold $7500 worth of stocks. How much did make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answer:900
Step-by-step explanation:
a rental car company charges drivers a flat fee to rent a car plus $0.25 for each mile they drive. If a drivers pays $100 drives 160 miles , which equation can he use to find his total cost y in terms of the number of miles driven ?
Edmund made a scale drawing of the rectangular floor of his kitchen. In the scale
drawing, 1 inch represents 2.5 feet. The measurements of the scale drawing are
shown in the diagram.
6.4 in.
4.8 in.
what is the perimeter of the actual kitchen floor in feet?
Answer:
324
Step-by-step explanation:
1.) Look at the figure below.
A
+5
3x
B
What is the measure of ZB?
A 35°
B
71°
С
760
D 105°
Answer:
D
Step-by-step explanation:
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3408 miles, with a variance of 249,001. If he is correct, what is the probability that the mean of a sample of 36 cars would be less than 3245 miles
Answer:
The probability that the mean of a sample of 36 cars would be less than 3245 miles
P(X⁻≤3245) = 0.975
Step-by-step explanation:
Step(i):-
The mean number of miles between services
μ= 3408 miles
The Variance of miles between services
σ² = 249,001
σ = √249,001 = 499
Let 'X' be a random variable in a normal distribution
Given sample size 'n' =36
Step(ii):-
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
Z = -163/83.16 = 1.96
The probability that the mean of a sample of 36 cars would be less than 3245 miles
P(X⁻≤3245) = P(Z≤1.96)
= 0.5 + A(1.96)
= 0.5 + 0.4750
= 0.975
Final answer:-
The probability that the mean of a sample of 36 cars would be less than 3245 miles
P(X⁻≤3245) =0.975
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?
Answer: (-6, - 6)
Step-by-step explanation:
Here we have two transformations, and the first step will be to explain those transformations:
Reflection over the y-axis.
For a function f(x), the reflection over the y-axis is written as:
g(x) = f(-x)
Then if we initially had a point (x, y), the transformed point will be (-x, y).
Vertical translation.
We can define a vertical translation of N units as:
g(x) = f(x) + N
if N > 0, the translation is up.
If N < 0, the translation is down.
Then if we start with a point (x, y), the transformed point will be (x, y + N)
In the case of this problem we have g(x) = f(-x) - 3
This means that N = -3
Then if we initially had the vertex at the point (6, - 3)
The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:
(-6, -3 - 3) = (-6, - 6)
The vertex of the resulting parabola will be (-6, -6)
Rule of reflectionGiven the function y= f(x), plotted on a graph and the vertex of the resulting
parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:
[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]
[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]
Hence the vertex of the resulting parabola will be (-6, -6)
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what is the percent of decrease from 4 to 1
Answer:
75%
Step-by-step explanation:
It went down by 3 so,
4-1=3
4 * 75% or 0.75=3
Solve for x.
(17x –23)
°
(8x –4)
°
(3x + 17)°
Answer:
=28x −10
Step-by-step explanation:
28x
The value of x will be;
⇒ x = 6
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 17x - 23 = (8x - 4) + (3x + 17)
Now,
Solve the expression as;
The expression is,
⇒ 17x - 23 = (8x - 4) + (3x + 17)
⇒ 17x - 23 = 8x - 4 + 3x + 17
⇒ 17x - 23 = 11x + 13
⇒ 17x - 11x = 23 + 13
⇒ 6x = 36
⇒ x = 6
Thus, The value of x will be;
⇒ x = 6
Learn more about the mathematical expression visit:
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What is cos 30°?
O A
B. 1
OC
-IS
OD
O
E.
O EV3
Answer:
cos (30 deg) = sqrt (3) /2
Step-by-step explanation:
(EASY) Which best describes the relationship between the lines?
Santa has many toy to deliver on elm street. If there are 48 kids that live on elm street and 12 of them are boys, what is the ratio of girls to boys ?
Answer:
36 to 12
Step-by-step explanation:
subtract 12 from 48 an you get 36 girls
WILL GIVE BRAINLEST PLZZZ HELPP MEEEE
Answer: its C
Step-by-step explanation:
Identify the following parasite provided and draw a large labelled diagram of each
specimen
Answer:
Spiced eye gonna flush my toilet now ;)
Answer:
hes right
Step-by-step explanation:
Write the equation of the line that is parallel to the original equation and passes through the point
(12, 6).
Answer:
12
Step-by-step explanation:
19 + 11 - 12² ÷ 3 (12 - 9) · 11)) - 7 =
Use PEMDAS for this.
Also it's a made up question
PEMDAS = Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
First, subtract the numbers in the parentheses, then multiply by 11.
(12 - 9) = (3)
3 x 11 = 33
19 + 11 - 12^2 ÷ 3(33) - 7
Now, just multiply 33 by 3, and then square 12 (12 x 12).
19 + 11 - 144 ÷ 99 - 7
Now, you can divide 144 by 99, this is an infinite number, so..
144 ÷ 99 = 1.455
19 + 11 - 1.455 - 7
Finally add, then subtract.
30 - 1.455 - 7
28.545 - 7
The final answer is 21.545.
What would be the correlation between the ages of husbands and wives if men always married woman who were(a) 3 years younger than themselves?(b) 2 years older than themselves?(c) half as old as themselves?
Answer:
the correct answer is a
The correlation between the ages of husbands and wives if men always married woman who were :
(a) 3 years younger than themselves
Correlation occurs as two variables or factors are related, and therefore the change in one variable affects another. In the situation presented there are 2 variables: According to our constitution, the legal age of men is 21 years and 18 years for women is 18 years.So according to the question the correlation between the ages of husbands and wives if men always married woman who will always be 3 years younger than themselves.Therefore, the correct answer is a.
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A plumber charges $80 for a house call and $25 per hour for his services. Which of the following is a linear model of his charges.
Answer:bals
Step-by-step explanation:25(number of hours worked) +80$ for initial charge
Answer:
25x+80
The number of hours is x for services
What number is 16% of 46
Answer: 7.36
Step-by-step explanation:
16/100 = 0.16
0.16 * 46 = 7.36
At time T equals zero, water begins to drip out of the pipe into an empty bucket. After 42 minutes, there are 6 inches of water in the bucket. Right Ellen air function rule to model how many inches of water W are in the bucket after any number of minutes T.
the values of 'm' and 'b' are 0.5 and 0 respectively.
Step-by-step explanation:
What is the length of the line segments with endpoints (-9,5) and (12,5)
A. 12
B. 9
C. 21
D. 10
Answer:
The answer is C
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
4. In a normal distribution with u=150, o = 12.5 find P(x < 145).
Answer:
i know it hard but i know u get there
When the correlation between x and y is zero, what is the best prediction of a y score that can be made from a given x score?
Answer:
The mean of y
Step-by-step explanation:
In statistics, correlation is the degree of the linear relationship between two variables. The correlation coefficient is the numerical measure of the linear relationship of two variables, It is measured in the range -1 to 1. When the coefficient is negative, the variables are said to have a negative correlation, while it is a positive correlation or have a strong linear relationship if the correlation coefficient is positive.
When the correlation coefficient is zero, both variables have no linear relationship and the best predictions of each variable would be the mean.
Jayden budgets $400 of his $3,200 monthly income towards donations. What percent of his income does he donate each month?
Answer:
12.5%
Step-by-step explanation:
400 divided by 3200= .125
.125 x 100= 12.5
12.5%
Solve for g: 19 > 2(g + 7.9).
Answer: g < 1 3/5
Step-by-step explanation:
first, i removed the parentheses.
19 > 2g + 15.8
then, i moved the terms.
-2g > 15.8 - 19
the, i calculated that.
-2g > -3.2
finally, i divided both sides.
g < 1.6
the alternative form is g < 1 3/5
(basically, the second answer)
Please help meeeeeee will brainliest
“ Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal division”
Answer and equation: If we choose two whole numbers; 8 and 10
We want to divide certain numbers by 8 and 10 to get 9 remainder 5.
In this case; 77 divided by 8 is equal to 9 rem 5
and 95 divided by 10 is equal to 9 rem 5
To justify which is greater, we use decimal division;
= 77 divided by 8 we get 9.625 ( 77 ÷ 8 = 9.625)
and
= 95 divided by 10 is equal to 9.5 (95 ÷10 = 9.5)
Therefore; the first case is greater since 9.625 is greater than 9.5
That is; 9 rem 5 got after dividing 77 by 8 is greater than 9 rem 5 got after dividing 95 by 10.
There are three customer service operators manning a helpline: Alex, Bobby, Charlie. Charlie is relatively new and takes one third as many calls as Bobby. Alex handles 6 times as many calls as Charlie.
What proportion of calls does Bobby handle?
Answer:
Bobby answers 30% of all phone calls.
Step-by-step explanation:
To determine the proportion of calls that Bobby answers in the call center, knowing that Charlie handles one third as many calls as him, and that Alex handles six times as many calls as Charlie, the following equivalence must be made:
A = 6 C (1/3B x 6 = 2B)
B = B
C = 1/3 B
2B + B + 1/3 B = 100
3 1/3 B = 100
3.33 B = 100
B = 100 / 3.33
B = 30
Therefore, Bobby answers 30% of calls, Alex answers 60% and Charlie 10%.
what will be the value of d when an airplane flies at 420 miles per hour for three hours?
Answer:
1260 I think
Step-by-step explanation:
because if the airplane is travelling at 420 mph for THREE hours then 420x3=1260
Please give me the correct answer
Answer:
the first one; 3*1/10^-4
Step-by-step explanation:
10^-4 can be ocnverted into a fraction: 1/10^4
Answer:
3 times 1/10,000
Step-by-step explanation: