algebra ii question!
Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.
Test the claim that the mean lifetime of a particular car engine is greater than 220,000 miles. Sample data are summarized as n = 23, x-bar = 226,450 and s=11,500. Use a significance level of 5%. Determine the p-value.
0.993
0.007
0.05
0.018
0.004
Using the t-distribution, it is found that the p-value of the test is 0.007.
At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:
[tex]H_0: \mu \leq 220000[/tex]
At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:
[tex]H_1: \mu > 220000[/tex].
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem:
[tex]\overline{x} = 226450, \mu = 220000, s = 11500, n = 23[/tex]
Then, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}[/tex]
[tex]t = 2.69[/tex]
We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.
Using a t-distribution calculator, the p-value of the test is of 0.007.
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The graph of y = f (x) is given in the figure. Sketch = 1/2 ( + 2) − 2.
Answer:
y=1/2+2
Step-by-step explanation:
Identify the independent and dependent variables in the following situation: Julie notices that her plant grows one inch for every liter of water that it receives. Question 17 options: The independent variable is the type of tap water used, and the dependent variable is the amount of water the plant receives. The independent variable is the amount of water the plant receives, and the dependent variable is the height of the plant. The independent variable is the height of the plant, and the dependent variable is the number of pieces of fruit the plant produces. The independent variable is the height of the plant, and the dependent variable is the amount of water the plant receives.
Determine the independent variable and dependent variable in the situation
The independent variable is the "amount of water the plant receives", and the dependent variable is the "height of the plant".
An independent variable is a the variable which causes a change.A dependent variable is the result or effect of a change.Therefore, the independent variable from the phenomena is "amount of water" and the dependent variable is the "height of the plant".
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solution needed step by step
Answer:
I am doinnnng ok just wait
Answer:
Points again!!!
Step-by-step explanation:
Hey thanks
4.72 × 3.4 equals what? Show work please ro gelp me understand
If3r + 5y = 13 and 6r + 7 y = 20, find the value of
Answer:
Step-by-step explanation:
Points A(8,4)&B(-2,4) lie on a line .AB is parallel to which axis
Question 1
The vertices of two rectangles are A(−5,−1),B(−1,−1),C(−1,−4),D(−5,−4) and W(1,6),X(7,6),Y(7,−2),Z(1,−2). Compare the perimeters and the areas of the rectangles. Are the rectangles similar? Explain.
Answer:
yes
Step-by-step explanation:
The perimeter of the rectangle ABCD and WXYZ are 14 units and 28 units respectively. The perimeter of the rectangle ABCD and WXYZ are 12 units² and 48 units² respectively.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
The vertices of two rectangles are A(−5,−1),B(−1,−1),C(−1,−4),D(−5,−4) and W(1,6),X(7,6),Y(7,−2),Z(1,−2).
As per the given data, the figure of two rectangles has been attached below.
According to the graph,
The perimeter of the rectangle ABCD = 2(3 + 4) = 2(7) = 14 units
The perimeter of the rectangle WXYZ = 2(6 + 8) = 2(14) = 28 units
The area of the rectangle ABCD = (3 × 4) = 12 units²
The area of the rectangle WXYZ = (6 × 8) = 48 units²
The rectangles are similar because the ratio of length to width is equivalent.
The perimeter of the rectangle ABCD and WXYZ are 14 units and 28 units respectively. The perimeter of the rectangle ABCD and WXYZ are 12 units² and 48 units² respectively.
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what is the state income tax deducted from gross pay of $864 with state income tax of 4%?
Step-by-step explanation:
$864 of 4%
864/100 x 4
=8.64 x 4
=34.56
Therefore, the total income tax deduction is 34.56.
Jenelle bought a home for $320,000, paying 24% as a down payment, and financing the rest at 5% interest for 30 years. Round your answers to the nearest cent.
How much money did Jenelle pay as a down payment? $
What was the original amount financed? $
What is her monthly payment? $
If Jenelle makes these payments every month for thirty years, determine the total amount of money she will spend on this home. Include the down payment in your answer. $
She paid $ 76,800 as down payment, the original amount financed was $ 243,200, her monthly payment was $ 2,919.71, and the total amount she will spend on this home is $ 1,127,896.38.
Given that Jenelle bought a home for $ 320,000, paying 24% as a down payment, and financing the rest at 5% interest for 30 years, to determine how much money did Jenelle pay as a down payment, what was the original amount financed, what is her monthly payment, and the total amount of money she will spend on this home, the following calculations must be made:
320,000 x 0.24 = Down payment 76,800 = Down payment 243,200 x 1.05 ^ 30 = X 243,200 x 4.32 = X 1,051,096.38 = X 1,051,096.38 / (30 x 12) = X 2,919.71 = X 1,051,096.38 + 76,800 = 1,127,896.38
Therefore, she paid $ 76,800 as down payment, the original amount financed was $ 243,200, her monthly payment was $ 2,919.71, and the total amount she will spend on this home is $ 1,127,896.38.
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Nancy sold tickets to a school play. She sold $426 worth of tickets. She sold 8 more adult tickets than children tickets and 3 times as many senior tickets than children tickets. If children tickets are $3, senior tickets are $4 and adult tickets are $6, how many adult tickets did Nancy sell
Answer:
So number of Adult tickets sold = A = 26.
Step-by-step explanation:
Define A, C, S as
A = number of adult tickets,
C = number of children tickets,
S = number of Senior tickets.
Then, by the statement of the problem, we have that
A = 8 + C,
S = 3C,
3C + 4S + 6A = 426,
so that
3C + 4(3C) + 6(8 + C) = 426
3C + 12C + 48 + 6C = 426
21C + 48 = 426
7C + 16 = 142
7C = 126
C = 126/7 = 18
A = 8 + 18 = 26
S = 3(18) = 54
The mean of the numbers 15, 21, 17.26. 18,29
is 21. Calculate the standard deviation of the
numbers
Answer:
6
Step-by-step explanation:
=15+21+17+26+18+29/
/ 21
=126/21
=6
Find polynomial function of degree 3. Such that f(2)=24 and x-1, x and x+2 are factors of the polynomial
Answer:
5
Step-by-step explanation:
Find an equation for the line below
Answer:
4+2=6-3
Step-by-step explanation:
Answer:
y=-0.5x+3.5
Step-by-step explanation:
please answer the question above
If a polygon has 20 sides, then the sum of all of its interior angles is 3240°.
What is the answer X=-2(6+4)
Answer:
X = -20
Step-by-step explanation:
X = -2(6+4)
^ add 6 and 4 together first because they are in parentheses
-2(10)
^ this parenthesis means you want to multiply -2 and 10
because 2 x 10 = 20
that must mean -2 x 10 = -20
therefore, the value of X is -20
X= -20
What is the mean of the frequency distribution?
33
Baseball bat length
f
27
2
28
4
29
3
31
5
16
30.3
30.7
29.4
29.6
Answer:
33
Step-by-step explanation:
12
34-18-(-23) write as a single number
Answer: 39
Step-by-step explanation: 34-18=16+23=39. Remember, 2 negatives equals a positive.
Answer: 39 cus 34-18=16+23=39
Step-by-step explanation:
Find the domain and range of this relation. Is it a function? {(0,0),(1,1),(2,4),4,-6)}
Answer:
Domain: {0,1,2,4}
Range: {0, 1, 4, -6}
Step-by-step explanation:
Hi there!
The domain is the set of all x-values in a relation.
{(0,0),(1,1),(2,4),4,-6)}
The x-values are 0, 1, 2, and 4.
Domain: {0,1,2,4}
The range is the set of all y-values in a relation.
{(0,0),(1,1),(2,4),4,-6)}
The y-values are 0, 1, 4 and -6.
Range: {0, 1, 4, -6}
A function occurs when there is only one y-value for every x-value. This is the case for this relation, so therefore it is a function.
I hope this helps!
Given: 5n - 42 = 12n; Prove: n= -6
What are the Statements
What are the Reasons
Answer:
-72=-72
Step-by-step explanation:
5n-42=12n
n=-6
5*(-6)-42 = 12*(-6)
-30-42=-72
-72=-72
So, n= -6 is the right number for this equation
Help me or the milk gallon in your fridge will grow legs and run away.
Answer:
-1500
Step-by-step explanation:
If there are 3 people in the company then you can divide 4500 by 3 and you get 1500
Answer: c
Step-by-step explanation: -1,500. - is negative because they suffered a lost.
Line k has an equation of y= 10/3x+9. Line l includes the point ( – 3, – 2) and is parallel to line k. What is the equation of line l?
The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.
What is the equation of a parallel line?Let the equation of the line be y = mx + c. Then the equation of the parallel line that is parallel to the line y = mx + c is given as,
y = mx + d
Line k has an equation of y= (10/3)x+9. Line l includes the point (–3, –2) and is parallel to line k.
y = (10/3)x + d
The equation of the line is passing through (–3, –2). Then the equation of the parallel line is given as,
–2 = (10/3)(–3) + d
–2 = –10 + d
d = 10 – 2
d = 8
The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.
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help with#14 please!!!
let's solve for f :
[tex] \dfrac{1}{f} = \dfrac{1}{a} + \dfrac{1}{b} [/tex][tex] \dfrac{1}{f} = \dfrac{b + a}{ab} [/tex]Taking reciprocal of both sides :
[tex]f = \dfrac{ab}{a + b} [/tex]Let f(t)=4-3t^2. Evaluate f(t+1).
Answer:
f=4-3t^2/t+1
Step-by-step explanation:
Help please :))) thank u
Answer:
The distance between A and B is 8.5 after rounded to the nearest tenth
Step-by-step explanation:
The formula you always use for distance between points is as pictured.
Point A is (-6, 4), this is x1 and y1
Point B is (2, 1), this is x2 and y2
(2-[-6])^2 + (1-4)^2
since 2 negatives make a positive, 2 - -6 = 8
1 - 4 = -3
This makes 8 squared and -3 squared
8x8 = 64
-3x-3 = 9
64 + 9 = 73
the square root of 73 = 8.544003745
After rounding to the nearest tenth, it is 8.5
I hope this helps you! Good luck :)
solve the equation 3/4x-5=x
give your answers correct to 2 decimal places
Answer:
x = - 20
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] x - 5 = x ( multiply through by 4 to clear the fraction )
3x - 20 = 4x ( subtract 3x from both sides )
- 20 = x
Help “ASAP” 50 points… What is the length of TU? Show all work proportions.
Answer:
48 unitsStep-by-step explanation:
Similar triangles given:
ΔQPR ~ ΔUTVThe ratio of corresponding sides:
TU/PQ = UV/QRTU/60 = (20 + 60)/(60 + 40TU/60 = 80/100TU = 60*4/5 TU = 4810
What is the volume of the rectangular prism,
if the length of one cube is 1 cm?
Answer:
60 cubic centimetres
What lowest terms fraction is equal to 0.48