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2 years ago

Do,k = (9,6) --> (3,2) The scale factor is? 1/3 3 6

Mathematics

1 answer:

kirza4 [7]2 years ago

6 0

Answer:

the answer is 1/3

Step-by-step explanation:

If you dilate (3,2) by 3 it will come out a (9,6). Therefore, the scale factor is 1/3

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The First National Bank of Wilson has 700 checking account customers. A recent sample of 50 of these customers showed 29 have a

attashe74 [19]

The margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).

<h3>What is the margin of error(MOE)?</h3>

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

$\rm MOE = Z\times \dfrac{s}{\sqrt{n}}$

Where Z is the z-score at the confidence interval

s is the standard deviation

n is the number of samples.

We have:

n = 50, X = 29,

Estimate point p = 29/50 = 0.58

q = 1-p = 1-0.58 = 0.42

Z at 0.05/2 (95% confidence interval) = 1.96

$\rm MOE = 1.96\sqrt{\dfrac{0.58\times0.42}{50}}$

After calculating:

MOE = 0.137

Confidence interval will be: (p - MOE, p+MOE)

= (0.58-0.137, 0.58+0.137)

= (0.443, 0.717)

Thus, the margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).

Learn more about the Margin of error here:

brainly.com/question/13990500

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3 0

1 year ago

An important problem in industry is shipment damage. A windshield factory ships its product by truck and determines that it cann

ioda

Answer:

Option f) None of these

Step-by-step explanation:

We are given the following data set:

Sample size, n = 12

Sample mean = 9.4

Sample standard deviation = 0.64

Confidence interval:

$\bar{x} \pm t_{critical}\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 11 and at}~\alpha_{0.01} = \pm 3.1058$

$9.4 \pm 3.1058(\frac{0.64}{\sqrt{12}} ) = 9.4 \pm 0.574 = (8.826,9.974)$

5 0

2 years ago

Write each percent as a fraction in simplest form?<br><br> 1. 75%

dem82 [27]

Answer:

3/4

Step-by-step explanation:

As a decimal, 75% is 0.75, which is 3/4

5 0

2 years ago

Here are two steps from the derivation of the quadratic formula. What room place between the first step and the second step?

Vaselesa [24]

Answer:

Step-by-step explanation:

The problem solver "completed the square." He or she took half of the coefficient of x and squared the result, and then added this square and subtracted this square to/from both sides of the equation.

8 0

2 years ago

Read 2 more answers

The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is f(x)=0.0

uysha [10]

Answer:

a) 20%

b) 40%

c) Mean = 62.5 seconds; Variance = 52.083 seconds

Step-by-step explanation:

The time it takes a hematology cell counter to complete a test on a blood sample is continuously distributed over the period of 50 to 75 seconds with probability f(x) = 0.04.

a) The percentage of tests require more than 70 seconds is:

$P(X>70) = 1- \frac{70-50}{75-50} \\P(X>70) =0.2 = 20\%$

b)The percentage of tests that require less than one minute (60 seconds) is:

$P(X70) =0.4 = 40\%$

c) The mean and variance of a continuous distribution are determined by:

$M=\frac{A+B}{2}=\frac{50+75}{2}\\ M= 62.5\ seconds\\\\V=\frac{(B-A)^2}{12}=\frac{(75-50)^2}{12}\\ V= 52.083\ seconds$

Mean = 62.5 seconds.

Variance = 52.083 seconds.

3 0

2 years ago