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Orlov [11]
3 years ago
15

What is the equation of the trend line? K = __ J + __

Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0

Answer:

-2 and 24

Step-by-step explanation:

the trend line is linear,

let the unknowns be A and B

hence the equation becomes

K = AJ + B

from the graph we can see the following:

when J = 0, K = 24 (substitute this into the equation)

K = AJ + B

24 = A(0) + B

24 =  B  (Answer)

Also notice that when K = 0, J = 12

together with our previous finding that B = 24, the equation becomes:

K = AJ + B

0 = A(12) + 24

12A = -24

A = -24 / 12

A = -2  (answer)

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in a survey of 7000 women 4431 say they change their nail polish once a week.Construct a 95% confidence interval for the populat
andreyandreev [35.5K]

Answer:

The 95% confidence interval would be given (0.622;0.644).

We are confident (95%) that the true proportion of people that said that they change their nail polish once a week  is between 0.622 and 0.644

Step-by-step explanation:

Data given and notation  

n=7000 represent the random sample taken    

X=4431 represent the people that said that they change their nail polish once a week

\hat p=\frac{4431}{7000}=0.633 estimated proportion of people that said that they change their nail polish once a week

\alpha=0.05 represent the significance level

Confidence =0.95 or 95%

p= population proportion of people that said that they change their nail polish once a week

Solution to the problem

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

And replacing into the confidence interval formula we got:

0.633 - 1.96 \sqrt{\frac{0.633(1-0.633)}{7000}}=0.622

0.633 + 1.96 \sqrt{\frac{0.633(1-0.633)}{7000}}=0.644

And the 95% confidence interval would be given (0.622;0.644).

We are confident (95%) that the true proportion of people that said that they change their nail polish once a week  is between 0.622 and 0.644

7 0
3 years ago
How do i do this equation
Marina86 [1]
X=10. so x-3 would be 7. e would equal 7. so 5x7=35
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Dani says she is thinking of a secret number.As a clue,she says the number is the least whole number that has three different pr
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List the first few prime numbers.
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Ramp 2=35
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3 years ago
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Reina surveyed her friends, asking each of them, "How many times have you been to the amusemer
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  • The median is an accurate measure of center.
  • The interquartile range is an accurate measure of spread.

<h3>How to find the Distribution of data?</h3>

Probability plots might be the best way to determine whether your data follow a particular distribution. If your data follow the straight line on the graph, the distribution fits your data. This process is simple to do visually. Informally, this process is called the “fat pencil” test.

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As, it is known that, when the distribution of data is left-skewed, the mean is less than median.

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Learn more about distribution of data here:

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