Answer:
The critical value that should be used is T = 2.0796.
The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 22 - 1 = 21
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0796, which is the critical value that should be used.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0796\frac{15.49}{\sqrt{22}} = 6.868[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 98.78 - 6.868 = $91.912
The upper end of the interval is the sample mean added to M. So it is 98.78 + 6.868 = $105.648
The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.
Look at the photo! Please help
Consider the functions k(x) = x + 1, m(x) = x - 4, n(x) = x + 5, and f(x) = k(x) • m(x) · n(x). a. Determine the degree of the function f(x).
Answer:
[tex]Degree = 3[/tex]
Step-by-step explanation:
Given
[tex]k(x) = x + 1[/tex]
[tex]m(x) = x - 4[/tex]
[tex]n(x) = x + 5[/tex]
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
Required
The degree of f(x)
First, calculate f(x)
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]
Expand
[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]
[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]
Further Expand
[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]
Collect like terms
[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]
[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]
The degree of f(x) is the highest power of x.
Hence:
[tex]Degree = 3[/tex]
Which Expressions Represent Area?
Answer:
Step-by-step explanation:
max is a 22 year old planning to retire at age 67 he is i vesting in a mutual fund and hopes to earn the average inflation adjusted stock market return of 7% anually. If max deposits $200 per month into this fund, how much can he expect to have when he retires? Show work
Based on the calculation below, the amount Max can be expected to have when he retires is $758,518.94.
How to calculate the future value (FV)?The amount he will be expected to have when he retires can be calculated using the formula for calculating the future value of an ordinary annuity as follows:
FV = D * (((1 + r)^n – 1) / r) ……………………………….. (1)
Where;
FV = Future value or the expected amount when he retires = ?
D = Monthly deposit = $200
r = monthly average inflation adjusted stock market return = 7% / 12 = 0.07 / 12 = 0.00583333333333333
n = number of months = (67 - 22) * 12 = 540
Substituting the values into equation (1), we have:
FV = $200 * (((1 + 0.00583333333333333)^540 – 1) / 0.00583333333333333)
FV = $758,518.94
Learn more about future value here: https://brainly.com/question/14586629.
#SPJ1
tomen puntos y doy corona al primero que comente hola
Answer:
hewo nice to meet ya
Step-by-step explanation:
hi hello
Answer:
Hola!
*Spanish*
Gracias por los puntos!
Eddie wanted to know more about how the cost of fertilizer for his lawn-care business was changing. The cost of a bag of fertilizer just increased from $10 to $15. What is the percent increase of the price?
Use the given graph to determine the limit, if it exists.
Help me pls I’ll mark you brainless
Answer:
b
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
1 kilogram is equal to 1,000 grams. How many grams are in 4 kilograms, 35 grams?
Answer:
4035 grams
Step-by-step explanation:
Liz has 4 times as many points as Joey in a video game. Together they have fewer than 150 points. Which inequality can be used to determine the least number of points that Joey can have?
A. 4x+4<150
B. 4x+4≤ 100
C. 4x+x<150
D.4x+x≥150
I will select u as brilliant :)
Answer:
C. 4x + x < 150
Step-by-step explanation:
x = Joey's points
4x = Liz's Points
together they have fewer than 150 points means the inequality is < 150
So the answer is: 4x + x < 150
Answer:
This may help you I think so
pls help im so confused find m
Answer:
i think it is 47
Step-by-step explanation:
A room in the shape of an octagon has a perimeter of 72 feet. What is the length of each side of the room? Let s represent the length in feet of each side of the room. Write and solve an equation for s.
Answer:
s=9
Step-by-step explanation:
8s=72
Divide 72 and 8
s=9
Step-by-step explanation:
Octagon is regular polygon meaning all sides are epual it is 8sided polygon p=72 = sides =8 each side =72÷8=9feet
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
What is the center of the circle given by the equation
(x - 2)^2 + (y + 4)^2 = 6?
A. (-2,-4)
B. (2,-4)
C. (-2,4)
D. (2,4)
Answer:
B: (2,-4)
Step-by-step explanation:
x-2=0
x=2
y+4=0
y=-4
A medical researcher wants to determine whether a drug changes the body's temperature. Seven test subjects are randomly selected, and the body temperature (in degrees Fahrenheit) of each is measured. The subjects are then given the drug and after 20 minutes, the body temperature of each is measured again. The results are listed below. At α=0.05, is there enough evidence to conclude that the drug reduces the body's temperature? Subject 1 2 3 4 5 6 7 Initial Temperature 103.4 102.5 101.1 103.4 102.9 100.2 100.9 Second temperature 99.2 98.4 98.2 99 98.6 99.7 97.8
Answer:
Step-by-step explanation:
The function g(x) = 20,000(1.20)* represents the population of a rapidly growing
city x years after the year 2000.
What does the value g(10) - g(9) represent in terms of the given context?
A. The population was 103,196 people in 2009
B. The population was 123,835 people in 2010
C. There was an increase of 20,639 people from 2009 to 2010.
D. There was an increase of 227,031 people from 2009 to 2010.
someone please answer without links please, thankyouuu
Solve for x and y:
Ty– 5x = 45
x = 8 - 2y
O x = 5, y = 10
O x = 5, y = -2
x = -2, y = 5
O x = 4, y = 2
Answer:
x = -2
y = 5
Step-by-step explanation:
7y - 5x = 45 -------------------(I)
x = 8 - 2y -----------------------(II)
Substitute x = 8 - 2y in equation (II)
7y - 5(8-2y) = 45
7y + 8 *(-5) - 2y*(-5) = 45
7y - 40 + 10y = 45
17y - 40 = 45
17y = 45 + 40
17y = 85
y = 85/17
y = 5
Plugin y = 5 in equation (II)
x = 8 - 2*5
x = 8 - 10
x = -2
Answer choices
18
25
30
40
Please help no links I will report
Answer:
the 75 person is the 100 percent then 40 is x x=(40 ×100 )÷75x=53 then the nb of people preffar hotdogs ic 53Blackcap birds (Sylvia atricapilla) migrate out of Germany before wintertime. Prior to the 1960s, all members of a particular blackcap population flew to Spain, which had an abundant natural food source. Now, some members of the same blackcap population fly to the United Kingdom, where food placed in feeders by humans is abundant. The blackcaps return to the same forests in Germany to nest during the breeding season.
Some blackcaps that migrate to the United Kingdom have become distinguishable by certain physical and behavioral traits from blackcaps that migrate to Spain. Which of the following best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter?
A- The blackcaps that migrate to Spain will selectively mate with the blackcaps that migrate to the United Kingdom, resulting in increased genetic variation in the blackcap population.
B- The blackcaps that migrate to the United Kingdom will become reproductively isolated from the blackcaps that migrate to Spain, resulting in speciation in the blackcap population.
C- The blackcaps in Spain and the United Kingdom will migrate to other geographical locations in search of potential mating partners, resulting in a smaller blackcap population in Germany.
D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.
Answer:
D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.
Step-by-step explanation:
By the inhabitants of Spain and the United Kingdom placing feeders out for the blackcaps, the birds in their nesting sites during the winter will have food to eat, meaning a bigger population of the Blackcaps when they return to their main home in Germany.
This best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter.
i need help fast, thank you!!!
Answer:
D
Step-by-step explanation:
30 multiplied by 1.34 is 40.2
someone please help me answer this!
Answer:
c = 9.2m is the answer.
Step-by-step explanation:
a = 6m
b = 7m
c = ?
According to the Pythagoras theorem,
a² + b² = c²
6² + 7² = c²
36 + 49 = c²
c² = 85
c = 9.2m
∴ the distance between the school and the candy store is 9.2m
Anna has n number of nickels. She has less than 45 cents. Which inequality could be used to the find the value of n?
A 0.05n < 0.45
B 0.05n > 0.45
C 0.05n < 0.45
D 0.05n > 0.45
Answer:
The correct answer is A or C 0.05n < 0.45
Step-by-step explanation:
Nickels cost $0.05 and n is the number of nickels, so you multiply the two to get 0.05n. Since this value is less than $0.45, we put a less than sign.
What is the slope of the line 1/7
Answer:
3/4
Step-by-step explanation:
Well its a incomplete Question but i am solving a realted type Question .
• Find the slope of the line -3x - 4y = 12 :-
Ans ) The given equation can be converted into Slope intercept form , which is y = mx + c , where ,
m is slope c is y Intercept⇒ -3x -4y = 12
⇒ -4y = 12 +3x
⇒ y = 3x + 12 /4
⇒ y = 3/4x + 12/3
⇒ y = ¾x + 4
Comparing to Standard Form⇒ m = ¾
⇒ c = 4
Hence the slope of the line is 3/4.Find the sum of the first 20 terms of the sequence {4,10,16,22,...} step by step
Answer:
All terms separated by 6 so #20 = 4 + 6 * 19 = 118
(if the first term were 6 instead of 4 the 20th would be 120)
Also, #10 = 58 and #11 = 64 (you can use the same reasoning)
The 1st and 20th term add to 4 + 118 = 122
The 2nd and 19th add to 10 + 112 = 122
Likewise 10th and 11th add to 58 + 64 = 122
So 10 * 122 = 1220
What are the solutions to the system?
A. (0, 5.6) and (0, 13)
B. (0, 13) and (16, 1)
C. (4, 10) and (7, 7.75)
D. (16, 1) and (10,0)
Answer:
(4, 10) and (7, 7.5) are the solutions to this system.
Step-by-step explanation:
You can see this by observing the two given points where the line and the parabola intercept. Those are the only two points where that will happen.
find the absolute value of -5 1/6
brainliest to right answer
Answer:
The absolute value is 5 1/6
Step-by-step explanation:
The absolute value is how far away an answer is to zero so we just take away the negative for this question.
A researcher conducted a hypothesis test to see if students on average spend more than 1 hour per homework assignment. The level of significance, a, selected was 0.05. This means that if on average they do spend exactly 1 hour per assignment, then there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.
a. Trueb. False
Answer:
a. True
Step-by-step explanation:
By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.
In the given question the null hypothesis is
H0: u ≤ 1 hour and Ha: u > 1 hour
So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.
The given statement is true.
Answer these two questions ASAP please, help is appreciated.
Answer:
B and A
Step-by-step explanation:
The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box
Answer:
Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that the mean weight is less and equal to 9.75 ounces per box and accept the null hypothesis.
Step-by-step explanation:
Let the null and alternate hypothesis be
H0: u ≤ 9.75 against the claim Ha: u > 9.75
Here
Population mean= u= 9.75
Standard deviation= 0.27 ounces
Sample mean= x`= 9.85
Significance level [tex]\alpha[/tex]= 0.05
Using z- test
z= x`-u/s/√n
z= 9.85-9.75/0.27/√25
z= 0.1/5.4
z= 0.0185
The critical region for 1 tailed test at 0.05= z > ±1.645
Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that the mean weight is less and equal to 9.75 ounces per box and accept the null hypothesis.