Answera and Step-by-step explanation: Correlation Coefficient is the measure of how strong two variables are. There are numerous types of correlation coefficients and the product moment correlation coefficient, also known as Pearson's correlation or Pearson's R is most commonly used in linear regression. The formula to calculate it is:
r = n(∑xy) - (∑x)(∑y) / √[∑x² - (∑x)²].[n∑y² - (∑y)²]
To find the value of R:
1) Separate the values of X and Y and out them in 2 columns.
2) Add 3 more columns: for xy, x² and y²;
3) Find the values of each column;
4) Add each column;
5) Put the sum of each column in its place on the formula above;
6) Find the correlation.
i) For this question, r = 0.9645. As it's positive, means that the two variables are directly linked, i.e., an increase in one variable will produce an increase in the other variable in the same proportion.
ii) The Senator should distribute Norvasc to the old adults groups, because, as the population grows, the death associated with high blood pressure will also grow, as explained by the correlation coefficient.
goran sold t shirts and hats at a festival his total profit was 106 he made a $4 profit for each t shirt he sold. he also made a profit of $34 from selling hats how many t shirts did sell .
Write the answers in equation
Answer:
Total profit = $106
Profit made from hats = $34
Therefore to find the number of t-shirts sold
Total profit - Profit from hats = Profit from shirts
$106 - $34 = $72
And the made $4 from selling one shirt so to find the number of t-shirts sold,
*Profit of t-shirts - Profit made from one t-shirt = number of t-shirts
therefore, $72/$4= 18.
Therefore, Goran sold 18 t-shirts.
What’s the correct answer for this?
Answer:
B.
Step-by-step explanation:
In the attached file
Answer:
y=-5x+6
Step-by-step explanation:
If you graph each of these equations, the only one that passes through the point (1,1) and is perpendicular to the given line is y=-5x+6.
Danny Completed 40% of his homework assignment his assignment contain 30 math problems how many problems does Danny’s still need to complete
Answer:
Step-by-step explanation:
Well, he completed 12 questions, so he has 18 left.
To get the solution, we are looking for, we need to point out what we know:
We assume, that the number 30 is 100% - because it's the output value of the task.
We assume, that x is the value we are looking for.
If 30 is 100%, so we can write it down as 30=100%.
We know, that x is 40% of the output value, so we can write it down as x=40%.
Now we have two equations:
1) 30=100%
2) x=40%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
30/x=100%/40%
Now we just have to solve the equation.
30/x=100/40
(30/x)*x=(100/40)*x - we multiply both sides of the equation by x
30=2.5*x - we divide both sides of the equation by (2.5) to get x
30/2.5=x
12=x
x=12
now we have:
40% of 30=12
Then, you need to subtract 12 from 30 to figure out what is left.
The graph shows a distribution of data,
What is the standard deviation of the data?
O 0.5
© 1.5
O 2.0
2.5
1.5
2
2.5
3
Answer:
The graph shows a distribution of data.
A graph shows the horizontal axis numbered 1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 1 to 2 then a downward trend from 2 to 3.
What is the standard deviation of the data?
0.5 <<<------- CORRECT ANSWER
1.5
2.0
2.5
Step-by-step explanation:
EDGE 2021
The standard deviation of the data is,
σ = 0.5
What is an expression?An expression which is defined as the collection of the numbers, variables and functions by using sign like addition, subtraction, multiplication, and division is called mathematical expression.
Now,
We have in the graph, there is bell-shaped along x =2.
Here, A bell-shaped graph along one value is called symmetric graph and it represents a normal distribution.
Since, The graph is symmetric around x = 2,
Hence, the mean of the data is 2.
And, The point immediate left to the mean represented by x - σ
Hence, We get;
2 - σ = 1.5
So,
σ = 0.5
Thus, The sigma represents standard deviation.
σ = 0.5
Hence, Option A is correct.
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an item is priced at $14.16. If sales tax is 6%, what does item cost including sales tax? If necessary, round to the nearest cent
Answer:
B
15.01
6 percent of 14.16 is 0.85. Add 0.85 to 14.16 and you get 15.01
If x = 4, calculate the value of: 2x³ - 2x² + 2x - x
Step-by-step explanation:
Putting value of x
2 (4)3 - 2(4)2 + 2(4) - 4
2 (64) - 2(16) + 8 - 4
128 - 32 + 8 - 4
= 100
Answer:
i dunno try this sorry if its wrong. Answer i got is 16.
Step-by-step explanation:
since the x = 4 and we need to calculate the value of other numbers. my answer would be this,
2 x 2 x 2 = 6, 2 x 2 = 4 add both values up to get 10, then do 10 x 2 which is 20, - 4 since x is 4.
Also i did this the way you would write it in exponent form.
3/8 of a gallon of paint covers 1/4 of a wall how many gallons cover the wall
Answer:
1 1/2 or 1 4/8 gallons
Step-by-step explanation:
If 3/8 gallons of paint covers 1/4 of a wall, then the math is explained below:
3/8 times 4/1 equals 12/8 to 1 4/8 to 1 1/2. We multiply by 4 since 3/8 covers 1/4 of the wall.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
mary had 1 3/4 pound of blackberries. Mary's friend ate 3/4 of the blackberries. How many pounds of blackberries did Mary friend eat?
Hey there! I'm happy to help!
If Mary's friend at 3/4 of blackberries, we will simply multiply the total number of blackberries by 3/4 to find how many blackberries Mary ate.
3/4×1 3/4= 1 5/16
Therefore, Mary's friend at 1 5/16 pounds of blackberries.
I hope that this helps! Have a wonderful day!
Please answer this correctly
Find the mean and median of these data:3, 4, 13, 15, 17, 19.
mean: 11.83
Median=14
Look at the attached picture
Hope it will help you..
good luck on your assignment
~pragya
Hi if u could help me that would be great, have a nice day!!!
Hey there! I'm happy to help!
-------------------------------------------------------------------
OVERVIEW
Random sampling is when you take a sample of something completely at random. This is done to avoid bias and other stuff like that. It makes the data a lot more pure, real, and factual.
-------------------------------------------------------------------
CHOOSING THE ANSWER
OPTION A: A SCHOOL NEWSPAPER ASKS TEACHERS IN THAT MIDDLE SCHOOL HOW THEY FEEL ABOUT THE BEHAVIOR OF TWELVE YEAR OLD BOYS.
Does this seem very random to you? They're asking all the teachers who work at a certain junior high to talk about twelve year old boys. But, the teachers are definitely going to have some sort of bias towards twelve year old boys because they work with them, and since all of the samples are teachers, this is going to have biased data. Therefore, answer A is incorrect.
OPTION B: A NATIONAL SURVEY COMPANY PICKS ONE PHONE NUMBER FROM EACH AREA CODE IN AMERICA TO CALL AND ASK FOR AN OPINION ON CURRENT POLITICAL ISSUES.
This definitely seems a lot more random. There is only one phone number from each area code and there are many area codes in the United States so you get a bit of what everyone thinks about an issue. There is no bias because there is one random phone number and there are many different places this is done. Therefore, option B is correct.
OPTION C: MIGRANT WORKERS ARE SURVEYED ON THEIR OPINION OF MANDATORY HEALTH INSURANCE FOR COMPANIES.
This is not very random because they are asking a specific group of workers about a company and business ordeal. It is not very random because the migrant workers are specifically being asked, not random people. Therefore, option C is incorrect.
-------------------------------------------------------------------
THE SOLUTION
Therefore, Option B is the correct answer.
I hope that this helps! Have a wonderful day!
Which formula can be used to describe the sequence?
64, -48, 36, -27
Step-by-step explanation:
This is a geometric sequence where the first term is 64 and the common ratio is -¾.
a = 64 (-¾)ⁿ⁻¹
In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 209. What is the probability that th
Answer:
The probability that the sample proportion will be within 6 percent of the population proportion is 0.9556.
Step-by-step explanation:
The question is:
What is the probability that the sample proportion will be within 6 percent of the population proportion?
Solution:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=p[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
The information provided is:
n = 209
p = 0.75
As n = 209 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the Normal distribution.
[tex]\hat p\sim N(\mu_{\hat p}=0.75,\ \sigma_{\hat p}=0.0299)[/tex]
Compute the probability that the sample proportion will be within 6 percent of the population proportion as follows:
[tex]P(p-0.06<\hat p<p+0.06)=P(0.69<\hat p<0.81)[/tex]
[tex]=P(\frac{0.69-0.75}{0.0299}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.81-0.75}{0.0299})\\\\=P(-2.01<Z<2.01)\\\\=P(Z<2.01)-P(Z<-2.01)\\\\=0.97778-0.02222\\\\=0.95556\\\\\approx 0.9556[/tex]
Thus, the probability that the sample proportion will be within 6 percent of the population proportion is 0.9556.
Write the answer and solution ?
Answer
4. E
use PEMDAS
5. 36+18=54 so C
plug in x
6. 15=5x
x=3 so C
11. B
break the absolute value into pos and neg components
12.D
is not equal to so open circle
2x=14
2x=8
so 4 and 7 with open circles
Step-by-step explanation:
What is the vertex of the graph of y = −1(x − 2)2 + 3? (1 point) (3, −2) (−2, 3) (3, 2) (2, 3)
Answer:
3,2
Step-by-step explanation:
You roll a die. if it comes up a 6, you win $100. if not, you get to roll again. if you get a 6 the second time, you win $50. if not, you lose.
a.create a probability model for the amount you win.
b.find the expected amount you'll win.
c.what would you be willing to pay to play this game?
Answer:
a.
x $ 0 $ 50 $ 100
p (x) 25/36 5/36 6/36
b. 23.61%
c. 23.61%
Step-by-step explanation:
We have that "x" is the amount of money earned:
we have to fail twice, the probability of failure is 5/6 and the probability of hitting is 1/6, therefore if you lose the probability would be:
5/6 * 5/6 = 25/36
the one to win 50 $, would be:
1/6 * 5/6 = 5/36
and the one to win $ 100 would be:
1/6 * = 6/36
that is to say:
a.
x $ 0 $ 50 $ 100
p (x) 25/36 5/36 6/36
b. the expected amount you'll win would be:
0 * 25/36 + 50 * 5/36 + 100 * 6/36 = 23.61
c. The normal thing is to pay at least the expected amount, that is, $ 23.61, since something greater than that would already be profit.
The expected value is the sum of the product of values and their respective probabilities. Hence ;
Expected winning = $9.722 Willing amount to be paid should be any amount less than $9.722To win $100 :
P(6) × P(6) = 1/6 × 1/6 = 1/36To win $50 :
P(not 6) × P(6) = 5/6 × 1/6 = 5/36To win nothing :
P(not 6) × P(not 6) = 5/6 × 5/6 = 25/36The probability distribution table :
X : _______ $0 ______ $50 _______ $100P(X) : ____ 25/36 _____ 5/36 _______ 1/36The expected value :
E(X) = Σ[(X × P(X)]E(X) = (0 × 25/36) + (50 × 5/36) + (100 × 1/36)
E(X) = 0 + 9.7222
E(X) = 9.722
Therefore, the expected amount to be won is $9.722
Willing amount to be paid to play the game :
Any value below the expected value,
Therefore, the willing amount will be < 9.722
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Find the mean, median, mode and range:
5, 2, 7, 4, 6, 9, 7, 5, 6, 7
So ,
here's your answer:
Mean =5.8
median=6
Mode=7
Range=7
Look at the attached picture
Hope it will help you
Good luck on your assignment
What is the equation of the translated function, g(x), if
f(x)=x22
O g(x) = (x - 4)2 + 6
O g(x) = (x + 6)2 - 4
O g(x) = (x-6)2 - 4
O g(x) = (x + 4)2 +6
Answer: D g(x)=(x+4)^2+6
Step-by-step explanation:
The correct equation of the translated function, g(x) is,
⇒ g(x) = (x + 4)² 6
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that:
The function is,
,⇒ f (x) = x²
Here, f(x) has vertex point is (0,0)
and g(x) vertex point is (-4,6)
Hence, The general form of equation with vertex is
⇒ y = a (x - h)² + k
where (h, k) are the vertex.
So, the equation of g(x) form is
⇒ g(x) = (x + 4)² + 6
Therefore, Option D is correct.
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If anyone can help me with this it will be greatly appreciated.
Answer:
it is a triangular prism .
Answer:
Triangular Prism
6 vertices
Step-by-step explanation:
A survey of 270 young professionals found that one dash eighth of them use their cell phones primarily for e-mail. Can you conclude statistically that the population proportion who use cell phones primarily for e-mail is less than 0.17? Use a 95% confidence interval. The 95% confidence interval is [nothing comma nothing ]. As 0.17 is ▼ within the limits below the lower limit above the upper limit of the confidence interval, we ▼ cannot can conclude that the population proportion is less than 0.17.
Answer:
As 0.17 is below the upper limit of the confidence interval, so we can conclude that the population proportion is less than 0.17.
Step-by-step explanation:
We are given that a survey of 270 young professionals found that one dash eighth of them use their cell phones primarily for e-mail.
Firstly, the Pivotal quantity for 95% confidence interval for the population proportion is given by;
P.Q. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of people who use their cell phones primarily for e-mail = [tex]\frac{1}{8}[/tex] = 0.125
n = sample of young professionals = 270
p = population proportion
Here for constructing 95% confidence interval we have used One-sample z test for proportions.
So, 95% confidence interval for the population proportion, p is ;
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level
of significance are -1.96 & 1.96}
P(-1.96 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.96) = 0.95
P( [tex]-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95
P( [tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95
95% confidence interval for p = [[tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] , [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]]
= [ [tex]0.125-1.96 \times {\sqrt{\frac{0.125(1-0.125)}{270} } }[/tex] , [tex]0.125+1.96 \times {\sqrt{\frac{0.125(1-0.125)}{270} } }[/tex] ]
= [0.08 , 0.16]
Therefore, 95% confidence interval for the population proportion who use cell phones primarily for e-mail is [0.08 , 0.16].
Since, the above confidence interval have values which is less than 0.17; so we conclude that the population proportion is less than 0.17.
Tompkins Associates reports that the mean clear height for a Class A warehouse in the United States is 22 feet. Suppose clear heights are normally distributed and that the standard deviation is 4 feet. A Class A warehouse in the United States is randomly selected. (a) What is the probability that the clear height is greater than 16 feet? (b) What is the probability that the clear height is less than 14 feet? (c) What is the probability that the clear height is between 25 and 30 feet?
Given Information:
Mean clear height = μ = 22 feet
Standard deviation of clear height = σ = 4 feet
Required Information:
a) P(X > 16) = ?
b) P(X < 14) = ?
c) P(25 < X < 30) = ?
Answer:
a) P(X > 16) = 93.12%
b) P(X < 14) = 2.27%
c) P(25 < X < 30) = 20.39%
Step-by-step explanation:
What is Normal Distribution?
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
a) We want to find out the probability that the clear height is greater than 16 feet.
[tex]P(X > 16) = 1 - P(X < 16)\\\\P(X > 16) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 16) = 1 - P(Z < \frac{16 - 22}{4} )\\\\P(X > 16) = 1 - P(Z < \frac{-6}{4} )\\\\P(X > 16) = 1 - P(Z < -1.5)\\\\[/tex]
The z-score corresponding to -1.5 is 0.0668
[tex]P(X > 16) = 1 - 0.0668\\\\P(X > 16) = 0.9312\\\\P(X > 16) = 93.12 \%[/tex]
Therefore, the probability that the clear height is greater than 16 feet is 93.12%
b) We want to find out the probability that the clear height is less than 14 feet
[tex]P(X < 14) = P(Z < \frac{x - \mu}{\sigma} )\\\\P(X < 14) = P(Z < \frac{14 - 22}{4} )\\\\P(X < 14) = P(Z < \frac{-8}{4} )\\\\P(X < 14) = P(Z < -2)\\\\[/tex]
The z-score corresponding to -2 is 0.02275
[tex]P(X < 14) = 0.02275\\\\P(X < 14) = 2.27 \%[/tex]
Therefore, the probability that the clear height is less than 14 feet is 2.27%
c) We want to find out the probability that the clear height is between 25 and 30 feet.
[tex]P(25 < X < 30) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(25 < X < 30) = P( \frac{25 - 22}{4} < Z < \frac{30 - 22}{4} )\\\\P(25 < X < 30) = P( \frac{3}{4} < Z < \frac{8}{4} )\\\\P(25 < X < 30) = P( 0.75 < Z < 2 )\\\\[/tex]
The z-score corresponding to 0.75 is 0.7734 and 2 is 0.9773
[tex]P(25 < X < 30) = P( Z < 2 ) - P( Z < 0.75 ) \\\\P(25 < X < 30) = 0.9773 - 0.7734 \\\\P(25 < X < 30) = 0.2039\\\\P(25 < X < 30) = 20.39 \%[/tex]
Therefore, the probability that a child spends more than 4 hours and less than 8 hours per day unsupervised is 20.39%
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.5, 2.2, 0.5 etc.)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.50 then go for 0.00 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.
out of 150 class one- third opte for german,two fifth for italian ,and the rest for french find how many opted for french
Answer:
40 people
Step-by-step explanation:
1/3 + 2/5=11/15
15/15-11/15=4/15
15/15 x 150 x 4/15=40
How many pieces of tape 5mm long can be cut from a piece 15cm long ?
Answer: The answer is 17 pieces is the answer..
I hope you are able to understand....
IF yes, then plz mark as brainliest...
Step-by-step explanation:
What is the next term in the number pattern 40, 43, 49, 58, 70
Answer:
85
Step-by-step explanation:
because they add 3 on ever number
Answer:
85
Step-by-step explanation:
first they added 3, then they added 6, then they added 9, and so on
The number of 3-digit telephone area codes that can be made if repetitions are not allowed is?
a. 100
b. 720
c. 1,000
d. 504
Answer:
Each of the 3 digits can be from 0 to 9, so each of the digits can have 10 values.
10 * 10 * 10 = 1,000
However, if repetition is NOT allowed, then the first digit can be ANY digit (10 possibilities). The second digit can be ANY digit except what the first digit is (9 possibilities). The third digit can be ANY digit except what the first digit is or what the second digit is (8 possibilities).
Total area codes = 10 * 9 * 8 = 720
Answer is b
Step-by-step explanation:
The United States has trained some of the world's best computer programmers and technology experts. Despite all of this training, many businesses do not have a full understanding of information technology. As the importance of technology in the business world grows, many companies are wasting money on extensive technology projects. When problems arise, they expect that further investment will solve these issues. To prevent such problems, many companies have begun to outsource these functions in an effort to reduce costs and improve performance. The majority of these outsourced information technology and call center jobs are going to low-wage countries, such as India and China where English-speaking college graduates are being hired at substantially lower wages. The purpose of this study is to evaluate the positive and negative aspects of offshore outsourcing with a focus on the outsourcing markets in India and China, arguably the two most popular destinations for outsourcers. The cost savings associated with offshore outsourcing will be evaluated in relation to the security risks and other weakness of offshore outsourcing. In addition, an analysis of the number of jobs sent overseas versus the number of jobs created in the United States will be used to assess the effects that outsourcing is having on the American economy and job market. Finally, the value of jobs lost from the American economy will be compared to the value of jobs created. The goal of these analyses is to create a clear picture of this increasingly popular business strategy
A) Answer the following questions about the abstract above:
1) What is a potential hypothesis of the researchers?
2) What is one of the independent variables?
a. What type of variable is the independent variable?
3) What is one of the dependent variables?
a. What type of variable is the dependent variable?
4) What might cause some measurement error in this experiment?
5) What type of research design is the experiment?
a. Why?
6) How might you measure the reliability of your dependent variable?
7) Is this study ecologically valid?
8) Can this study claim cause and effect?
a. Why/why not?
9) what type of data collection did the researchers use (please note that #5 is a different question)?
Step-by-step explanation:
1. Many state students are looking for employment opportunities through outsourced jobs in other countries, since their possibilities have been reduced within their own country.
2.One of the independent variables is outsourced work.
a. a type of moderate independent variable.
3. The analysis of the high demand for outsourcing.
a. Control dependent variable.
4.It is an experimental design.
Because you want to see if the outsourced market really has any effect on the US economy.
6. Possible dependent variables such as the effect on the US market or the creation of new markets, I do not consider to be reliable variables to measure the cause or independent variable.
7.It is ecologically valid in the sense that it allows visualizing a positive impact on a way of working that allows reducing costs in all senses, both monetary and transportation, contributing to the care of nature.
8.I do not consider that cause and effect can be claimed.
a.While the one that exitates this type of outsourced work from many parts of the world, this does not guarantee that it is the only source of income for a person, since these outsourced jobs often represent additional income.
9. Focal groups.
(c) Simplify fully
exexexf
————
exex fxf
Answer:
i know its a bit late but the answer below
Step-by-step explanation:
e/f
What is the slope of the line through (-7,-8)(−7,−8)left parenthesis, minus, 7, comma, minus, 8, right parenthesis and (0,4)(0,4)left parenthesis, 0, comma, 4, right parenthesis?
Answer:
12/7
Step-by-step explanation:
When given two points, we can find the slope by using
m = (y2-y1)/(x2-x1)
= (4 - -8)/ (0 - -7)
= (4+8) / (0+7)
= 12/7
Answer:
The answer is 12/7
Step-by-step explanation:
I got this answer from Khan Academy.
Hope this helps! :)
Positive numbers have negative square roots.
A. True
O B. False
Answer:
A. True
Step-by-step explanation:
Geomertry Tangents Chords Sectors Arcs and segments! whichever one helps
Answer:
1
Step-by-step explanation:
(195 - 85)/2 = 54x+1 -->
110/2 = 54x + 1 -->
55 = 54x + 1 -->
54 = 54x -->
1 = x