This question is incomplete, the complete question is;
Your friend Mona claims that the average student debt immediately after graduation in the United States is $24,500. You want to see if your university has lower student debt at graduation. To test this, you randomly collect data from 40 students who recently graduated. The average of your sample is $22,413, with an associated standard deviation of $7,312. Using this data to perform the hypothesis test; H₀ : μ = 24,500 vs Hₐ : μ < 24,500.
What is the p-value of this test and conclusion at ∝ = 0.05
Answer:
a) p-value = 0.0394
b) Since p value ( 0.0394 ) is less than ∝ ( 0.05 ), We reject the null hypothesis.
Hence, There is insufficient evidence at ∝ = 0.05 to claim that the average student debt immediately after graduation in the United States is $24,500.
Step-by-step explanation:
Given the data in the question;
sample size n = 40
sample mean x' = 22413
level of significance ∝ = 0.05
standard deviation s = 7312
Hypothesis;
Null Hypothesis H₀ : μ = 24,500
Alternative Hypothesis Hₐ : μ < 24,500
Test Statistics;
t = (x' - μ) / ( s/√n)
we substitute
t = (22413 - 24500) / ( 7312 / √40)
t = -2087 / 1156.1287
t = -1.805
Degree of Freedom DF = n - 1 = 40 - 1 = 39
With t = -1.8052 and df = 39
p( t < -1.805 ) = 0.0394
p-value = 0.0394
Since p value ( 0.0394 ) is less than ∝ ( 0.05 ), We reject the null hypothesis.
Hence, There is insufficient evidence at ∝ = 0.05 to claim that the average student debt immediately after graduation in the United States is $24,500.
calculate: 3^10 * 30^18 / 9^13 * 8^6 * 0.04^-9
Answer:
9e+36
Step-by-step explanation:
ㄒɦĄŊĸ ĦØφĒ ĮŤ ɧėŁP ♡✧♡
Susan gets a home loan of $300,000 at a rate of 6.8% compounded monthly for 30 years. What is her monthly payment?
Answer:
$1,955.86
Step-by-step explanation:
We have to use the MS Excel to solve this question
PV = -300000
FV = 0
I = 6.8%/12 = 0.5667%
N = 30*12 = 360
Monthly payment = PMT(-PV, FV, I, N)
Monthly payment = PMT(-300,000, 0, 0.5667%, 360)
Monthly payment = $1955.8555499
Monthly payment = $1,955.86
So, her monthly payment is $1,955.86.
Nandini uses a code to open a security door.
The code is a letter followed by a 2-digit number.
The letter is Por Q.
The number is a prime number between 30 and 40
Write down all the possibilities for Nandini's code.
Can someone plz help me
Answer:
35 is a prime number between 30 and 40
A piece of machinery depreciates $7000 the first year, $6800 the second year, and $6600 the third year. If the rate of depreciation is constant, what is the amount of depreciation of the piece of machinery in the sixth year?
Answer:
$6000
Step-by-step explanation:
hope it helps correct me if i am wrong
Identify the graph of exponential graph
3 √ 7 + √ 7 can someone elaborate this for me
Answer:
9.3
Step-by-step explanation:
Answer:
The answer is 4 \sqrt{7}.
Step-by-step explanation:
The formula is a\sqrt{x} + b\sqrt{x} = (a+b)\sqrt{x}, but if you don't understand it, here's an easier way to think about it.
You can think of \sqrt{7} as x (or any other variable). Now, the equation is 3x + x. If you've ever done algebra, (you probably have if square roots popped up on your homework) you know that this equals to 4x. Now, replace the x with \sqrt{7}, because we already decided that those two were equal. Therefore, the answer is
4 \sqrt{7}.
hey guys what is the factors of 8 (i need all of them)
Answer:
1,2,4,8
Step-by-step explanation:
PLEASE WHOEVER DOES IT GETS BRAINLIEST
Answer:
first one on top to the left
Step-by-step explanation:
Let f(x)= x^2+1. Find and simplify the following:
(a) f(x-4)=
(b) f(x-4)-f(-4)
Answer:
f(x-4) = x²-8x + 17
f(x-4)-f(-4) = x²-8x
Step-by-step explanation:
Given the function:
f(x) = x^2+1
f(x-4) = (x-4)^2+1
f(x-4 ) = x² - 8x + 16 + 1
f(x-4) = x²-8x + 17
For f(x-4)-f(-4)
f(-4) = (-4)²+1
f(-4) = 16+1
f(-4) = 17
f(x-4)-f(-4) = x²-8x + 17 - 17
f(x-4)-f(-4) = x²-8x
Anybody know how to do this
It’s a yes or no ?
Answer:
what's the full question
CAN SOMEONE HELP ME ASAP PLS
Answer:
10 inches
Step-by-step explanation:
Half of the circle is 5 inches. the other half will be 5, which added together makes 10
A farmer has 100 acres of available land that he wishes to plant with a mixture of potatoes, corn, and cabbage. It costs him $400 to produce an acre of potatoes, $160 to produce an acre of corn, and $280 to produce an acre of cabbage. He has a maximum of $20,000 to spend. He makes a profit of $120 per acre of potatoes, $40 per acre of corn, and $60 per acre of cabbage. How many acres of each crop should he plant to maximize his profit?
a. Create a chart to organize this information.
b. Write the objective function
c. Write all the constraints to the problem.
Objective (Profit) Function : 120 Po + 40 Co + 60 Ca
Constraint Functions : Po + Co + Ca = 100 (Land Constraint) ; Budget Constraint : 400 Po + 160 Co + 280 Ca = 20000
LET : Acres of land for Potato, Corn, Cabbage = Po, Co, Ca respectively.
Objective Function is the function to be minimised or maximised. Here, 'PROFIT' is to be maximised.
So, profit function is the objective function. Profit per acre potatoes, corn, cabbage = 120, 40 , 60 respectively.Constraint functions denote the other conditions to be maintained, while maximising & minimising objective profit function.
Here, Land constraint & budget constraints need to be satisfied. Total acres of land for potato, corn, cabbage = 100. Cost per acre potatoes, corn, cabbage = 400, 160, 280 respectively & total budget is 20000.To learn more, refer https://brainly.com/question/2500020?referrer=searchResults
answer this please and thanksss
Answer:
x^2+4x-21
Step-by-step explanation:
hope it helps
Answer:
Option D, x² + 4x - 21
Step-by-step explanation:
Using FOIL;
x * x = x²
x * (-3) = -3x
7 * x = 7x
7 * (-3) = -21
Therefore; x² + (-3x) + 7x - 21
=> If simplified:
=> x² + 4x - 21
Hope this helps!
Solve for x: 2(x + 4) + 6 = 12x - 8
Answer:
x = 2.2
Step-by-step explanation:
2(x+4)+6 = 12x-8
Use distribution property
2x+8+6 = 12x-8
Combine like terms
2x+14 = 12x-8
Subtract 14 from both sides
2x = 12x-22
Subtract 12x from both sides
-10x = -22
Divide both sides by negative 10
x = 2.2 or x = 11/5 in fractions.
Hope this helps
Help pleaseeeeeeeeeeee
beti ate 1/8 of the cake.nati had 2 smaller pieces.she ate 2/16 of the cake.who ate more cake? what fraction of the cake left?
Answer:
Both ate the same amount of cake, there will be 6/8 or 3/4ths of the cake left.
Step-by-step explanation:
2/16 is equivalent to 1/8. Therefore they ate the same amount of cake.
Answer:
they ate the same amount 1/8 and 2/16 are the same thing.3/4
Step-by-step explanation:
they both ate 1/8 so 8/8-2/8=6/8=3/4 of the cake left
if 124 is subtracted from the square of a number the result is 200 what is the number
Answer:
x=18
Step-by-step explanation:
let the number =x
then
x²-124=200
x²=200+124
x²=324
x=18
Answer:
x=18
Step-by-step explanation:
number = x
x^2 - 124 = 200
x^2 = 200 +124
x^2 = 324
(square root both sides)
x = 18
What is 840 increased by 20%
Answer:
1,008
Step-by-step explanation:
have a nice day
Answer:
1008
Step-by-step explanation:
1. [tex]840.\frac{20}{100}[/tex]
2. 168
3. 840 + 168 -> 1008
What is the slope of the line?
Answer:
The slope of a line characterizes the direction of a line.
Step-by-step explanation:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Answer:
-2
Step-by-step explanation:
!!!!!MAJOR HELP!!!!!
!!!!!I will give Brainy!!!!!
The function Y equals 5X is graft in coordinate plane. Which point will not be on the line?
A.(0,5)
B.(3,15)
C.(4,4,22)
D,(5,25)
If no idea then look at image
Answer: its b or c try one then the other
Step-by-step explanation:
What is a Hermitian?
Answer:
A Hermitian matrix is a matrix that is equal to its conjugate transpose. This generalizes the concept of a "symmetric matrix", since every real symmetric matrix is Hermitian.
Game Pitches Seen
1 25
2 20
3 20
4 17
5 15
6 14
The table lists the number of pitches seen by a player in 6 games. What is the mean of the data set?
Answer:
Mean- 18.5
25+20+20+17+15+14=111
111/6=18.5
Which expression matches the graph
Answer:
a
Step-by-step explanation:
A car manufacturing plant assembles 26 cars with 7 having bad brakes. A random inspection reviews 4 cars' brakes. What is the probability that all the cars chosen have good brakes
Answer:
p = 0.259264214
Step-by-step explanation:
26 - 7 = 19 with good brakes
Probability of picking 4 with good brakes
p = 19/26 * 18/25 * 17/24 * 16/23
p = 0.259264214
The probability that all the randomly chosen cars have good brakes is approximately 0.169 or 16.9%.
To calculate the probability that all the randomly chosen cars have good brakes, we need to consider the number of cars with good brakes and the total number of cars.
Total number of cars assembled: 26
Number of cars with bad brakes: 7
To calculate the probability, we can use the concept of combinations.
The number of ways to select 4 cars out of the remaining 26-7 = 19 cars with good brakes is given by the combination formula:
C(n, r) = n! / (r! * (n-r)!)
where n is the total number of cars with good brakes and r is the number of cars to be randomly selected.
In this case, n = 19 and r = 4.
The total number of ways to select 4 cars from the total pool of 26 cars is given by the combination formula:
C(26, 4) = 26! / (4! * (26-4)!)
Now, we calculate the probability that all the randomly chosen cars have good brakes:
Probability = (Number of favorable outcomes) / (Number of total outcomes)
Number of favorable outcomes = C(19, 4)
Number of total outcomes = C(26, 4)
Probability = C(19, 4) / C(26, 4)
Using a calculator, we can compute these combinations and evaluate the probability:
Probability ≈ 0.169
Therefore, the probability that all the randomly chosen cars have good brakes is approximately 0.169 or 16.9%.
To know more about probability click here :
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Complete the assignment on a separate sheet of paper
Please attach pictures of your work.
Answer:
TO FIND :-
Length of all missing sides.FORMULAES TO KNOW BEFORE SOLVING :-
[tex]\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}[/tex][tex]\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}[/tex][tex]\tan \theta = \frac{Side \: opposite \: to \: \theta}{Side \: adjacent \: to \: \theta}[/tex]SOLUTION :-
1) θ = 16°
Length of side opposite to θ = 7
Hypotenuse = x
[tex]=> \sin 16 = \frac{7}{x}[/tex]
[tex]=> \frac{7}{x} = 0.27563......[/tex]
[tex]=> x = \frac{7}{0.27563....} = 25.39568.....[/tex] ≈ 25.3
2) θ = 29°
Length of side opposite to θ = 6
Hypotenuse = x
[tex]=> \sin 29 = \frac{6}{x}[/tex]
[tex]=> \frac{6}{x} = 0.48480......[/tex]
[tex]=> x = \frac{6}{0.48480....} = 12.37599.....[/tex] ≈ 12.3
3) θ = 30°
Length of side opposite to θ = x
Hypotenuse = 11
[tex]=> \sin 30 = \frac{x}{11}[/tex]
[tex]=> \frac{x}{11} = 0.5[/tex]
[tex]=> x = 0.5 \times 11 = 5.5[/tex]
4) θ = 43°
Length of side adjacent to θ = x
Hypotenuse = 12
[tex]=> \cos 43 = \frac{x}{12}[/tex]
[tex]=> \frac{x}{12} = 0.73135......[/tex]
[tex]=> x = 12 \times 0.73135.... = 8.77624....[/tex] ≈ 8.8
5) θ = 55°
Length of side adjacent to θ = x
Hypotenuse = 6
[tex]=> \cos 55 = \frac{x}{6}[/tex]
[tex]=> \frac{x}{6} = 0.57357......[/tex]
[tex]=> x = 6 \times 0.57357.... = 3.44145....[/tex] ≈ 3.4
6) θ = 73°
Length of side adjacent to θ = 8
Hypotenuse = x
[tex]=> \cos 73 = \frac{8}{x}[/tex]
[tex]=> \frac{8}{x} = 0.29237......[/tex]
[tex]=> x = \frac{8}{0.29237.....} = 27.36242.....[/tex] ≈ 27.3
7) θ = 69°
Length of side opposite to θ = 12
Length of side adjacent to θ = x
[tex]=> \tan 69 = \frac{12}{x}[/tex]
[tex]=> \frac{12}{x} = 2.60508......[/tex]
[tex]=> x = \frac{12}{2.60508....} = 4.60636....[/tex] ≈ 4.6
8) θ = 20°
Length of side opposite to θ = 11
Length of side adjacent to θ = x
[tex]=> \tan 20 = \frac{11}{x}[/tex]
[tex]=> \frac{11}{x} = 0.36397......[/tex]
[tex]=> x = \frac{11}{0.36397....} =30.22225....[/tex] ≈ 30.2
Giving Brainliest!
Explain the difference between low and high-frequency waves
Answer:
Frequency refers to the number of waves that pass a given point in a given time period and is often expressed in terms of hertz (Hz), or cycles per second. Longer wavelengths will have lower frequencies, and shorter wavelengths will have higher frequencies
Find the explicit rule for the geometric sequence of 3, -6, 12, -24
Answer:
The n-th term of this sequence is 3(-2)^(n-1)
Step-by-step explanation:
Term 1 = 3 = 3 X 1 =. 3(-2)^0
Term 2 = -6 = 3 X (-2) = 3(-2)^1
Term 3 = 12 = 3 X (-2) X (-2) = 3(-2)^2
…
The first term is 3, and every subsequent term is the previous term multiplied by -2.
Convert the angle - 3 radians to degrees, rounding to the nearest 10th
Answer:
171.9 degrees.
Step-by-step explanation:
The factor is 180/π.
So 3 radians = (3*180)/π
= 171.9 degrees.
PLEASE HELP(Mainly 15 & 16) I can give BRAINLIEST!!!
Answer: sorry I don't get it but the answer for 16 is B sorry
Step-by-step explanation:
What do they teach you they are weird t doesn't make any sense
What is the area of the shaded region? Use 3.14 for it and round your answer to the nearest tenth opinions:12.6 cm2 6 cm 50.2 cm 78.5 cm 10 cm 201.0 cm
Someone please answer I need help on this one to