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3 years ago

10

The circumference of a circle is 3.14 inches. Find the radius of the circle in inches. Round to the nearest whole number. Justif

y your answer. Please help me all my stuff is due Friday!

1 answer:

ivolga24 [154]3 years ago

4 0

Answer:

0.5

Step-by-step explanation:

The formula for circumference is:

pi * d

3.14 = 3.14*d

1 = d

Since the radius is 1/2 of diameter, r = 0.5

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6*5=30

8*2=16

30+16=46

The test was worth 46 total points

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3 years ago

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

Julli [10]

Answer:

$0.071,1.928$

Step-by-step explanation:

Downtown Store North Mall Store

Sample size n 25 20

Sample mean $\bar{x}$ $9 $8

Sample standard deviation s $2 $1

$n_1=25\\n_2=20$

$\bar{x_1}=9\\ \bar{x_2}=8$

$s_1=2\\s_2=1$

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Standard error of difference of means = $\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

Standard error of difference of means = $\sqrt{\frac{2^2}{25}+\frac{1^2}{20}}$

Standard error of difference of means = $0.458$

Degree of freedom = $\frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}$

Degree of freedom = $\frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}$

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = $(x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)$

Confidence interval = $1-(2.0280)\times 0.458,1+(2.0280)\times 0.458$

Confidence interval = $0.071,1.928$

Hence Option A is true

Confidence interval is $0.071,1.928$

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2 years ago

A goat is tethered to a stake in the ground with a 5-m rope. The goat can graze to the full length of the rope a full 360 degree

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The length of the rope in this case becomes the radius of the circle that the goat is able to graze. The area of the circle is calculated through the equation,
A = πr²
Substituting,
A = π(5m)² = 78.54 m²
Thus, the area that the goat is able to graze is equal to 78.54 m².

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2 years ago

Which of the following graphs represents the equation y+2=3(x-1)

Arturiano [62]

For this case we have the following equation, in a linear way:

$y + 2 = 3 (x-1)$

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Where "m" is the slope and "b" is the cut point with the y axis.

Rewriting the given expression we have:

$y + 2 = 3x-3\\y = 3x-3-2\\y = 3x-5$

Thus, the slope is 3 and the cut point is -5.

To graph, we must find two points through which the line passes, so, we perform the following steps:

Step 1:

We do $x = 0$

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Thus, the point $(x1, y1) = (0, -5)$

Step 2:

We do $y = 0$

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Thus, the point $(x2, y2) = (\frac{5}{3},0)$

Answer:

See attached image

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Answer:

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