(a) Slate the null hypothesis. The local results and the U.S. AP examinee population are independent events. The distributions of the local results and the U.S.AP examinee population are the same. O The distributions of the local results and the U.S. AP examinee population are not the same. The local results follow the distribution of the U.S. AP examines population. The local results do not follow the distribution of the U.S. AP examinee population, Part (b) State the alternative hypothesis. The local results and the U.S. AP examinee population are independent events. The distributions of the local results and the U.S. AP exarrinee population are the same. The distributions of the local results and the U.S. AP examinee population are not the same The local results follow the distribution of the U.S. AP examinee population. The local results do not follow the distribution of the U.S. AP examinee population. Part (0) What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.) Part (d) State the distribution to use for the test. O x t5 O X5 Part (e) What is the test statistic? (Round your answer to two decimal places.)
a) State Null hypothesis:
H₀ : The local results and the public schools examinee population are the same.
b) State Alternative hypothesis:
Hₐ :The local results and the U.S public schools examinee population are not the same.
c) Degree of freedom is 5 .
d) Chi-square test formula:
χ² = (Oᵢ - Eᵢ)²/Eᵢ
e) Chi-square statistic value is 13.42
f) Critical value or P value for chi-square is 0.0198 and P value < alpha so, p-Value means here, reject the null hypothesis.
The Race/Ethnicity of U.S. Public Schools for a recent year, the percentages for the Advanced Placement Examine population for that class, and the Overall Student Population sample is taken for study.
a)State the hypotheses : The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: The local results and the U.S AP examinee population are the same.
b) Alternative hypothesis: The local results and the examinee population are not the same. Applying the chi-square goodness of fit test to sample data, we compute the degrees of freedom, the expected frequency counts, and the chi-square test statistic.
c) Degree of freedom, = k - 1 = 6 - 1 = 5
where DF is the degrees of freedom, k is the number of levels of the categorical variable, n is the number of observations in the sample.
d) Using sample data, we will conduct a chi-square goodness of fit test of the null hypothesis. Chi-square test formula:
χ² = (Oᵢ - Eᵢ)²/Eᵢ
Eᵢ is the expected frequency count for level i, Oᵢ is the observed frequency count for level i, and χ² is the chi-square test statistic and excepted value,(Eᵢ)= n× pᵢ
e) The test staistic value, χ² is 13.42..
f) The P-value is the probability that a chi-square statistic having 5 degrees of freedom is more extreme than 13.42.
We use the excel formula,
"=CHISQ.DIST.RT(x,deg_freedom)"
where, x is value which you want to evaluate
=CHISQ.DIST.RT(13.42,5) to find P(χ²> 13.42)
= 0.0198
Result : Since the P-value (0.0198) is less than the significance level (0.05), we have to reject the null hypothesis.
To learn more about Chi-Square test, refer:
https://brainly.com/question/4543358
#SPJ4
Complete question:
The columns in the table below contain the Race/Ethnicity of U.S. Public Schools for a recent year, the percentages for the Advanced Placement Examinee Population for that class, and the Overall Student Population. Suppose the right column contains the result of a survey of 1,000 local students from that year who took an AP Exam. Race/Ethnicity AP Examinee Overall Student Survey Population Population Frequency Asian, Asian American, or Pacific 10.2% Islander 5.4% 113 Black or African-American 8.2% 14.5% 94 Hispanic or Latino 15.5% 15.9% 136 American Indian or Alaska Native 0.6% 1.2% 10 White 59.4% 61.6% 604 Not reported/other 6.1% 1.4% 43 Perform a goodness-of-fit test to determine whether the local results follow the distribution of U.S. AP examinee population, based on ethnicity. (Use a significance level of 0.05.) Part (a) Slate the null hypothesis. The local results and the U.S. AP examinee population are independent events. The distributions of the local results and the U.S.AP examinee population are the same. O The distributions of the local results and the U.S. AP examinee population are not the same. The local results follow the distribution of the U.S. AP examines population. The local results do not follow the distribution of the U.S. AP examinee population, Part (b) State the alternative hypothesis. The local results and the U.S. AP examinee population are independent events. The distributions of the local results and the U.S. AP exarrinee population are the same. The distributions of the local results and the U.S. AP examinee population are not the same The local results follow the distribution of the U.S. AP examinee population. The local results do not follow the distribution of the U.S. AP examinee population. Part (0) What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.) Part (d) State the distribution to use for the test. O x t5 O X5 Part (e) What is the test statistic? (Round your answer to two decimal places.) f) What is p value ? ( round your answer upto four decimal places) and explain what the p-Value means for this problem .
Given the circle below with secants JKL and NML, find the length of JK. Round to the nearest tenth if necessary.
Using the Intersecting secants theorem, the length of JK in the given diagram is 17
Intersecting secants theorem: Calculating the length of of JKFrom the question, we are to determine the length of JK in the given diagram.
The diagram shows a circle with intersecting secants.
From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".
Then,
We can write that
JK × KL = NM × ML
From the given diagram,
KL = 14
NM = 14
ML = 17
Substituting the values
JK × 14 = 14 × 17
JK = (14 × 17) / 14
JK = 17
Hence, the length of JK is 17
Learn more on Intersecting secants theorem here: https://brainly.com/question/26340897
#SPJ1
The lengths of two sides of a triangle are shown.
Side 1: 8x2 - 5x - 2
Side 2: 7x - x2 , 3
The perimeter of the triangle is 4xJ - 3x?
Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)
Part B: What is the length of the third side of the triangle? Show your work. (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? justify your answer. (2
points)
The Total length of two sides based on the information will be 7x²+2x+1
The Length of the third side will be 4 x³-10x²-7.
How to calculate the lengthTotal length of two sides= Side 1 + Side 2
= 8x² − 5x − 2+ 7x − x²+ 3
= 8x²-x²-5x+7x-2+3
= 7x²+2x+1
Length of the third side = Perimeter - Total length of two sides
Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)
= 4x³ − 3x² + 2x − 6-7x²-2x-1
= 4 x³-10x²-7
Learn more about triangles on:
https://brainly.com/question/17335144
#SPJ1
Home Depot entered fiscal 2017 with a total capitalization of $21,904 million. In 2017, debt investors received interest income of $877 million. Net income to shareholders was $8,654 million. (Assume a tax rate of 21%.)
Calculate the economic value added assuming its cost of capital is 10%. (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)
The economic value added (EVA) for Home Depot in the fiscal year, 2017, is $6,463.60 million.
What is the economic value added?Economic value added (EVA) measures a company's financial performance or economic profit.
EVA is based on the residual wealth of the company for the fiscal year. It measures the value a company generates from its invested funds at the cost of capital.
EVA is calculated by deducting the cost of capital from the operating profit after tax (NOPAT).
Data and Calculations:2017 total capitalization = $21,904 million
2017 interest paid to debt investors = $877 million
Net income to shareholders = $8,654 million
Corporate tax rate = 21%
Profit before taxes = $10,954 million ($8,654/ 1 - 0.21)
Cost of capital = 10%
= $2,190.4 million ($21,904 x 10%)
EVA = NOPAT - (Invested Capital * WACC)
= $8,654 million - $2,190.4 million
= $6,463.60 million.
Thus, the economic value added (EVA) for Home Depot in the fiscal year, 2017, is $6,463.60 million.
Learn more about the economic value added at https://brainly.com/question/14016397
#SPJ1
In the following diagram,
What is the measure of
∠x
Answer:
Step-by-step explanation:
BAD = 42
x + 103 + 42 = 180
x = 180 - 145
x = 35
Help please due today.
Which expression shows the length, BC, of the base of the stand?
A. 7 over tan 55 degrees
B. 7(cos 55 degrees)
C. 7 over sin 55 degrees
D. 7(tan 55 degrees)
Answer:
A) \(\frac{7}{tan55^\circ}\)
Step-by-step explanation:
\(tan\theta=\frac{opposite}{adjacent}\\ \\tan55^\circ=\frac{7}{BC}\\ \\BC*tan55^\circ=7\\\\BC=\frac{7}{tan55^\circ}\)
If m 2 n, which inequalities must be true? Check all that apply.
Om + 2.1 > n + 2.1
m - (-4) 2 n-(-4)
m + 3 n-3
16.5 + m > 16.5 + n
1
U
m 2 n +
U
9 + m > 6+n
Answer:
\((a)\ m+ 2.1 > n + 2.1\)
\((b).\ m - (-4) > n - (-4)\)
\((c)\ 9 +m> 6 + n\)
Step-by-step explanation:
Given
\(m > n\)
Required
Select true inequalities
\((a)\ m+ 2.1 > n + 2.1\)
Subtract 2.1 from both sides
\(m > n\)
This is true
\((b).\ m - (-4) > n - (-4)\)
Open brackets
\(m + 4 > n + 4\)
Subtract 4 from both sides
\(m > n\)
\((c)\ 9 +m> 6 + n\)
\(m> -9+6 + n\)
\(m> n-3\)
This is also true
Answer:
A,B,D
Step-by-step explanation:
click and drag the steps to show that at least three of any 25 days chosen must fall in the same month of the year.
The proof that at least three of any 25 days chosen must fall in the same month of the year holds true because; there are twelve months in a year.
What is the proof that three of any twenty-five, 25 days chosen must fall in the same month of the year as required in the task content?This proof required for the statement in the task content follows from the fact that, there are 12 months in a year.
here, we have,
Hence, the proof that at least three of any twenty-five, 25 days chosen must fall in the same month of the year is because, there are 12 months in a years and after choosing two days from each month, amounting to 24 days, the 25th day would fall into a month and hence, such month has 3 days already.
Ultimately, the statement that at least three of any 25 days chosen must fall in the same month of the year holds true because there are 12 months in a year.
Read more on months in a year;
brainly.com/question/1292807
#SPJ1
Please help I don’t understand this question plz step by step so I can understand it
9514 1404 393
Answer:
x = 16
Step-by-step explanation:
"Solve algebraically" means "solve it using the rules of algebra." You could also solve it by guessing, or by graphing, or by submitting the equation to a machine solver (calculator, app, or web site).
__
To solve for x, undo what has been done to x. The expression on the right shows that x has 2 added, and the sum is divided by 3. We "undo" these operations in reverse order.
undo divide by 3
Multiplication is the inverse operation for division, so we want to multiply both sides of the equation by 3:
3(6) = 3(x +2)/3
18 = x +2
undo add 2
Subtraction is the inverse operation for addition, so we want to subtract 2 from both sides of the equation:
18 -2 = x +2 -2
16 = x
The value of x that makes this equation true is x = 16.
sat question I can’t seem to understand fully.
The value of m + n is given as follows:
A. 18.
How to obtain the value of m + n?The exponential expression for this problem is defined as follows:
\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)
Applying the power of power rule, we have that the exponents are given as follows:
x: 5/5 + 3/4 = 1 + 3/4 = 7/4.y: 6/5 + 4/4 = 6/5 + 1 = 11/5.Then the values of m and n are given as follows:
m = 7, n = 11.
Thus the sum is given as follows:
m + n = 7 + 11 = 18.
More can be learned about exponent rules at https://brainly.com/question/11975096
#SPJ1
Isiah is a high school basketball player. In a particular game
Answer:
No one can give you an answer
Step-by-step explanation:
No one can give you an answer because: Isiah is a high school basketball player. In a particular game isn't enough information people need more in order to solve.
ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
If the median is 3.5, we can assume the mean is ____________than 3.5
We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
What is mean?The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.
According to question:We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.
For example, consider the following two data sets:
Set 1 data: 1, 2, 3, 4, and 5.
The median is 3.
The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.
Data set 2: 1, 2, 3, 4, 10
The median is 3.
The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.
In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.
Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
To know more about mean visit:
https://brainly.com/question/10853033
#SPJ1
Someone pls help me I’m so confused
The number of triangles that are displayed can be found to be 216 triangles.
How to find the number of triangles ?Each rectangular tile has a decorative pattern of 3 equal-sized squares, and each square is divided into 2 same-sized triangles. Therefore, each tile has 3 squares * 2 triangles per square = 6 triangles.
Marnie uses 36 of these tiles on the wall behind her kitchen stove. To find the total number of triangles displayed, multiply the number of triangles per tile by the total number of tiles:
Total triangles = 6 triangles per tile x 36 tiles = 216 triangles
So, there are 216 triangles displayed on the wall behind Marnie's kitchen stove.
Find out more on triangles at https://brainly.com/question/17488511
#SPJ1
Find the mean, median, mode 1. 40, 38,29,34,37, 22, 15, 38 2. 26, 32, 12, 18, 11, 14, 21, 12,27 3. 3,3,4,7,5,7,6,7,8,8,8. 9,8, 10, 12, 9, 15, 15
NEED THE ANSWER ASAP
NONSENSE, REPORT
i will (brainliest) if it's correct!!!
Mean: 34.125, Median: 31.5, Mode: 38
Mean: 19.222, Median: 18, No mode
Mean: 8.611, Median: 8, Mode: 8
Let's find the mean, median, and mode for each set of numbers:
Set: 40, 38, 29, 34, 37, 22, 15, 38
Mean: To find the mean, we sum up all the numbers and divide by the total count:
Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125
Median: To find the median, we arrange the numbers in ascending order and find the middle value:
Arranged set: 15, 22, 29, 34, 37, 38, 38, 40
Median = (29 + 34) / 2 = 63 / 2 = 31.5
Mode: The mode is the number(s) that appear(s) most frequently in the set:
Mode = 38 (appears twice)
Set: 26, 32, 12, 18, 11, 14, 21, 12, 27
Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222
Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32
Median = 18
Mode: No mode (all numbers appear only once)
Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15
Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611
Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15
Median = 8
Mode: Mode = 8 (appears 4 times)
Mean: 34.125, Median: 31.5, Mode: 38
Mean: 19.222, Median: 18, No mode
Mean: 8.611, Median: 8, Mode: 8
For more questions on Mean
https://brainly.com/question/1136789
#sPJ8
Trump or Biden.
I'm curious. Please no fightin and i'll make brainlest
Answer:
Biden
Step-by-step explanation: Well I mean Trump done many racist, and mess up stuff so my only choice would be Biden and well hopefully he doesnt do the same thing as Trump
what is the pythagoras theorum in terms of shakespear?
Answer:*
Step-by-step explanation:
what is the slope of the line on the graph?
Answer:
1/6
Step-by-step explanation:
A (6,1)
B (12,2)
slope = (2-1)/(12-6)
1/6
What is | -7.9 ?
help
PLS HELP ME ANSWER THIS QUESTION..
Answer:
b. 4
c. 90⁰
Step-by-step explanation:
a. is in the diagram
Mary is planning to buy a mobile phone that costs $500. She can choose any of five different payment plans with varying simple interest rates and periods:
plan 1: 6% for 10 months
plan 2: 8% for 12 months
plan 3: 10% for 14 months
plan 4: 12% for 18 months
plan 5: 14% for 12 months
Which plan offers the lowest monthly payments?
As a result, Plan 4's $38.89 monthly premium is the lowest.
How to find the lowest monthly payments ?The monthly premium you pay for health insurance. You typically have to pay additional fees for your health care in addition to your premium, such as a deductible, copayments, and coinsurance.
(P + Simple Interest) / (500 + 58.33) / 14 = $42.02 is the formula for the monthly payment.
Plan 4: P = $500
t = 18/12 years, and r = 0.12
Simple interest equals $500 * 0.12/* (18/12) = $90.
(P + Simple Interest) / t = ($500 + $90) / 18 = $38.89 is the monthly payment.
Plan 5: P = $500
t = 12/12 years, and r = 0.14.
Simple interest is equal to $500 * 0.14 * (12/12) = $70.
(P + Simple Interest) / t = ($500 + $70) / 12 = $47.50 is the amount due each month.
As a result, Plan 4's $38.89 monthly premium is the lowest.
To know more about premium visit:-
https://brainly.com/question/7511249
#SPJ1
solve for x.
x/3 < -6
Answer: x < -18
Step-by-step explanation:
Simply multiply both sides by three to get x < -18
Step-by-step explanation:
x/3 < - 6
x < - 18
This should be the answer
There are 8 tables, each with 7 candles on them. How many candles are there in total?
Answer:
56
Step-by-step explanation:
You just have to multiply 8 and 7 to get how many are on all of the tables.
How do you get 99 using four 4s?
Step-by-step explanation:
i think you have to do 4 4 times im not sure sorry hopes it help
The corner grocery store sells apples for $1.19 per pound. Which store sells apples at a lower unit price than the corner store A: $2.50 for 2 pounds B: $3.48 for 3 pounds C: $4.80 for 4 pounds D: 7.32 for 6 pounds
Answer:
B- 3.48 ÷ 3
Step-by-step explanation:
3.48 ÷ 3= 1.16
Hope this helps
-mercury
When csc(Theta)sin(Theta) is simplified, what is the result? StartFraction 1 Over cosecant squared EndFraction StartFraction 1 Over sine squared EndFraction 0 1
Step-by-step explanation:
csc θ sin θ
(1 / sin θ) sin θ
1
The simplified value of the given expression comes to be 1.
The given expression is:
\(cosec\theta.sin\theta\)
What is the trigonometric ratio \(cosec\theta\)?The trigonometric ratio \(cosec\theta\) is the ratio of the hypotenuse to the opposite side. It is the inverse of \(sin\theta\).
\(cosec\theta=\frac{1}{sin\theta}\)
We know that \(cosec\theta=\frac{1}{sin\theta}\)
So \(cosec\theta.sin\theta\)
\(=\frac{1}{sin\theta} .sin\theta\)
=1
So, the simplified value is 1.
Hence, the simplified value of the given expression comes to be 1.
To get more about trigonometric ratios visit:
https://brainly.com/question/24349828
use distributive property to rewrite this problem: -2(n-7)
To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
Applying this property to the given expression:
-2(n-7) = -2 * n + (-2) * (-7)
Simplifying further:
-2(n-7) = -2n + 14
Therefore, the rewritten expression is -2n + 14.
O
If the sin 90° is 1, then the cos
(4 points
Answer:
What is the angle for cos, keep question clearly
If angle is 90° then answer is 0
Solve the inequality. |2x-6|+7 less than 15
Answer:
− 1 < x < 7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Created a painting with an area of 48 in.² and a length of 6 inches they create a second painting with an area of 64 in.² it has the same width as the first painting what is the length of the second painting
The length of the second rectangle is 8 in
How to find the length of the second painting?Since we have painting with an area of 48 in.² and a length of 6 inches, since it is a rectangle, its area is A = LW where
L = length of rectangle = 6 in and W = width of rectangleSo, making Wsubject of the formula, we have
W = A/L
Since
A = 48 in² and L = 6 inSubstituting these into the equation, we have
W = A/L
W = 48 in²/6 in
W = 8 in
Now, since the second painting with an area of 64 in.² it has the same width as the first painting, since it is also a rectangle, its area is A = LW where
L = length of rectangle and W = width of rectangleSo, making L subject of the formula, we have
L = A/W
Since
A = 64 in² and W = 8 inSubstituting these into the equation, we have
L = A/W
L = 64 in²/8 in
L = 8 in
So, the length of the second rectangle is 8 in
Learn more about length of rectangle here:
https://brainly.com/question/28497588
#SPJ1