The probability is D. 0.7807. Therefore, the answer is D. 0.7807.
To calculate the power of the test, we need to determine the probability of rejecting the null hypothesis when the alternative hypothesis is true. In other words, we want to find P(reject H0 | Ha is true).
First, we need to calculate the critical value that corresponds to the level of significance of the test. Since the alternative hypothesis is one-tailed (Ha:μ>100), and the level of significance is not given, we'll assume a significance level of 0.05 (commonly used in hypothesis testing).
Using a standard normal distribution table or calculator, we find that the critical value for a one-tailed test at a 0.05 level of significance is 1.645.
Next, we need to calculate the standard error of the mean (SEM), which is equal to the population standard deviation divided by the square root of the sample size.
SEM = 8 / √60 = 1.0328
To find the test statistic (z-score) for the alternative hypothesis, we use the following formula:
z = (x¯ - μ) / SEM
z = (101.7 - 102.5) / 1.0328 = -0.775
The area to the right of this z-score under the standard normal distribution represents the probability of rejecting the null hypothesis when the alternative hypothesis is true.
Using a standard normal distribution table or calculator, we find this probability to be:
P(z > -0.775) = 0.7807
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The probability is D. 0.7807. Therefore, the answer is D. 0.7807.
How to calculate the valueUsing a standard normal distribution table or calculator, we find that the critical value for a one-tailed test at a 0.05 level of significance is 1.645.
Next, we need to calculate the standard error of the mean (SEM), which is equal to the population standard deviation divided by the square root of the sample size.
= 8 / √60 = 1.0328
To find the test statistic (z-score) for the alternative hypothesis, we use the following formula:
z = (x - μ) / SEM
z = (101.7 - 102.5) / 1.0328 = -0.775
Using a standard normal distribution table or calculator, we find this probability to be:
P(z > -0.775) = 0.7807
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you put $350 in an account the account earns $17.50 simple interest in 2.5 years was the annual interest rate
Can someone help me out with these?
"write a linear equation for line m,n,l,p"
Answer:
Step-by-step explanation:
m: y = -2x + 4
n: y = x - 1
l: y = 4
p: x = -4
m: y=-2x+4
slope: 2
2/1=2
Its negative because the line is going down from left to right
y-intercept:
it crosses the y axis at (0,4)
n: y=x-1
slope: 1
1/1=1
Its positive because the line is going up from left to right
y-intercept:
it crosses the y axis at (0,-1)
l: y=4
slope: 0
A vertical line's slope is always 0
y-intercept:
it crosses the y axis at (0,4)
p: x=-4
To find the equation for a horizontal line, you need to find what x always is no matter what.
I’ll give the Brainliest to who answers these questions with a reasonable explanation.
While surfing the Internet, you find a site that claims to offer “the most popular and the cheapest DVDs anywhere.” Unfortunately, the website isn’t clear about the how much they charge for each DVD, but it does give you the following information:
(The information is the table up there)
a. What is the slope of the line containing the points?
b. What does the slope represent in this problem?
c. What is the y‐intercept of the line that contains the points?
d. What does the y‐intercept represent in this context?
e. What is the equation that represents the line?
Thank you.
Answer:
Answer:
a. 9
b. The slope represents the cost for every new DVD
c. 6
d. The song represents the base price, or the price that it would cost for 0 DVDs
e. y = 9x + 6
Explanation:
I made a graph on a piece of graph paper and these were the answer I got.
please help solve :D
Answer:
101
Step-by-step explanation:
4x+11 + 6x -1 = 180 (because they are supplementary)
10x =170
x = 17
angle L = 6(17) - 1 = 101
Angle L and Angle N are congruent. so N = 101
Select the correct answer. Factor completely.12x^2+28x 4x(3x + 7) 4x(3x + 28) 4x2(3x + 7) 4(3x + 7)
Answer:
4x(3x+7)
Step-by-step explanation:
12x^2+28x
factor out the 4x
4x(3x+7)
plzz answer fasttttt
Answer:
45 square centimeters.
Step-by-step explanation:
Length(L) = 9 cm
breadth (b) = 5 cm
Area of the rectangle
= L * b
= 9 * 5
= 45 cm²
Hope it will help :)
Answer: 45 square centimeters
Step-by-step explanation: 9cm x 5cm = 45cm
Simplify the expression using order of operations. 15−7×2+23
Answer: 24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
Multiplication first:
15 - 14 + 23
Addition and Subtraction:
15 - 14 + 23 = 24
I’ll mark as brainliest!!!
Find x and y plz help
Answer:
x = 6.81 and y = 4.20
Step-by-step explanation:
by using SOHCAHTOA
hypotenus = 8
adjacent = x
opposite = y
sin45° = y/8
y = 8sin45°
y = 6.66
cos45° = x/8
x = 8cos45°
x = 5.66
Jon has to pay $9.00 admission for the skating rink and $2 per hour to
rent roller blades. How many hours can he skate for $19?*
3
5
06
Answer:
The answer is 5 hours
Step-by-step explanation:
Hi can anyone do this for me please do it on a piece of paper
9514 1404 393
Answer:
see attached
Step-by-step explanation:
We don't know the drivers' names or when or where they started. We have made the assumption that the second equation pertains to Kylie.
Each line is plotted with the appropriate slope and y-intercept. The slope is the coefficient of x, and represents the "rise" for each unit of "run" to the right.
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppppppp
Answer:
its the first one.
Step-by-step explanation:
What is the sum of the measures of the interior angles of a 12-gon ?
A: 1620
B: 1800
C: 1980
D: 2160
Answer:
B. 1800 degrees.
Step-by-step explanation:
Just took the quiz on Edg (2020-2021)!!
PLEASE HELP LOOOOOOOKKKKKKKK ATT SS
Answer:
1
Step-by-step explanation:
d=-4 , f = 3
so, [8-(-4)]/4 × 3
= (8+4)/12
= 12/12
=1
Hope it helps
Answer:
1 is the answer
Step-by-step explanation:
8-(-4) / 4(3) = 1
Can someone help me please
Answer:
85 - 82 = .6h
5 hours
Step-by-step explanation:
85 - 82 = 3h
3 ÷ .6
H = 5
5 hours
Plz help meeeeeeee !!!!!
Answer:
answer is A
Step-by-step explanation:
simplify: -28+2r+3r+5
simplify more: 5r-23
The bases of a trapezoid lie on the lines y=2X +7 and y= 2X -5. Write the equation that contains the midsegment of the trapezoid
Given:
The bases of a trapezoid lie on the lines
[tex]y=2x+7[/tex]
[tex]y=2x-5[/tex]
To find:
The equation that contains the midsegment of the trapezoid.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
On comparing [tex]y=2x+7[/tex] with slope intercept form, we get
[tex]m_1=2,b_1=7[/tex]
On comparing [tex]y=2x-5[/tex] with slope intercept form, we get
[tex]m_2=2,b_2=-5[/tex]
The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.
[tex]m=m_1=m_2=2[/tex]
The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.
[tex]b=\dfrac{b_1+b_2}{2}[/tex]
[tex]b=\dfrac{7-5}{2}[/tex]
[tex]b=\dfrac{2}{2}[/tex]
[tex]b=1[/tex]
So, the y-intercept of the required line is 1.
Putting m=2 and b=1 in slope intercept form, we get
[tex]y=2x+1[/tex]
Therefore, the equation of line that contains the midsegment of the trapezoid is [tex]y=2x+1[/tex].
What is the measure of angle 1
Answer:
the measure of angle 1 is 125
Step-by-step explanation:
hope this you the answer to your question
Answer:
pls give image
Step-by-step explanation:
Which of the following could represent consecutive even integers?
x + 1, x + 2
x + 1, x + 3
2x, 2x + 1
Answer:
only x+1 , x+3 COULD represent consecutive even integers
Step-by-step explanation:
only x+1 , x+3 COULD represent consecutive even integers
Which conveyed the negative message?
pleasssss
help me, please.....
Answer:
50 minutes left.
Step-by-step explanation:
The easiest way to do this is to convert all the fractions into minutes
So, she would've spent 1 hour and 30 minutes on her homework and 40 minutes on her telephone. If you add those amounts up, you get 2 hours and 10 minutes. Since she goes to bed 3 hours after dinner, and 2 hours and 10 minutes have gone by, you do 3 hours - 2 hours 10 minutes and you get 50 minutes.
Hope that makes sense. Let me know if you have any questions.
One serving of ice cream contains 1,400 calories. If 322 calories come from fat, what percent of the total calories come from fat?
Answer:
23%
Step-by-step explanation:
322 ÷ 1400 = 0.23 = 23%
Step-by-step explanation:
x percent of 1400 calories = 322 calories so, (x × 1400)÷100 = 322x = (322 × 100) ÷1400x = 32200 ÷ 1400x = 23MARK ME AS BRAINLISTPLZ FOLLOW MEBona ma numec claudiu si vreu sa stiu si eu cat face 100+340
Answer
100+340=440
Step-by-step explanation:
Whats chicken nugget plus chicken nugget
Answer:
MORE CHICKEN NUGGETS
which is smaller 0 or -0
Answer:
the answer is -0 , -0 is smaller than 0.
write an expression in simplified form to represent the area of the trapezoid
Plz help me with this question
Answer:
C
Step-by-step explanation:
Remark
There are probably a couple of ways that you could do this. I'm going to pick the most obvious way.
Givens.
KN = 2.5
NO = 10
LM = 3
MP = x
Equation
NO/KN = PM / LM
Solution
10 / 2.5 = x / 3 Cross multiply
2.5x = 10 * 3 Combine
2.5x = 30 Divide by 2.5
x = 30/2.5
x = 12
That looks like it should be the answer, and it almost is, but you are asked for LP.
LP = LM + MP
LP = 3 + 12
LP = 15
The answer is 15
81 - 4x = 147 please help
Answer: X = -16.5 / -16 1/2 / -33/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
What mathematical term describes both 5.3 and 8.2 in the expression 5.3 x − 8.2 y + 11.1 ?
Answer:
coefficient
Step-by-step explanation:
The equation  is written in point-slope form. What is the equation written in slope-intercept form?    
Answer:y+6 = 1/3 (x, -9)
Step-by-step explanation:The equation y+6 = 1/3 (x, -9) is written in point-slope form. What is the equation written in slope-intercept form? The point-slope form of a line that has a slope of -2 and passes through point (5, -2) is shown below. ... The equation y - 2/3 = -2 (x - 1/4) is written in point-slope form.
Solve the system of equations using the elimination method.
3x + 4y = -2
2x + 3y = -1
Answer:
(-2, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -2
2x + 3y = -1
Step 2: Rewrite Systems
Find LCM of both equations.
[1st Equation] Multiply everything by 2: 6x + 8y = -4[2nd Equation] Multiply everything by -3: -6x - 9y = 3Step 3: Redefine Systems
6x + 8y = -4
-6x - 9y = 3
Step 4: Solve for y
Elimination
Combine 2 equations: -y = -1[Division Property of Equality] Divide -1 on both sides: y = 1Step 5: Solve for x
Define original equation: 3x + 4y = -2Substitute in y: 3x + 4(1) = -2Multiply: 3x + 4 = -2[Subtraction Property of Equality] Subtract 4 on both sides: 3x = -6[Division Property of Equality] Divide 3 on both sides: x = -2