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3 years ago

What is the radius of a circle with circumference 17mm? Round to nearest tenth. Use 3.14

Mathematics

1 answer:

WINSTONCH [101]3 years ago

5 0

   C = 2πr
   17 = 2(3.14)(r)
   17 = 2(3.14r)
   17 = 6.28r
6.28   6.28
2.71 ≈ r

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PLEASE HELP ME asap Compare the two ratios by entering >, < , or = in the box.

Leto [7]

1/8 = 0.125
3/20 = 0.150

Therefore 1/8 < 3/20

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3 years ago

A growth-mindset researcher plans to take an SRS of 200 teenagers from the population of teenagers in North America to see what

Sonbull [250]

Answer:

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

75% of teenagers in North America are pursuing a goal they have set for themselves.

This means that $p = 0.75$

Sample of 200.

This means that $n = 200$ .

What are the mean and standard deviation of the sampling distribution of p?

By the Central Limit Theorem

Mean $\mu = p = 0.75$

Standard deviation $s = \sqrt{\frac{0.75*0.25}{200}} = 0.0306$

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

4 0

3 years ago

Does someone mind helping me with this question? Thank you!

Soloha48 [4]

Answer: 640

Step-by-step explanation:

The scale factor is 20/5=4, so the ratio of the areas is the square of this, or 16.

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1 year ago

Please show work for both problems

sukhopar [10]

(1) The value of x is 25

(2) The measure of ∠CBD is 60°

Explanation:

(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.

Thus, we have,

$5x+15=6x-10$

Subtracting 5x from both sides, we have

$15=x-10$

Adding 10 to both sides , we have,

$25=x$

Thus, the value of x is 25.

(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°

Since, these two angles are supplementary angles and supplementary angles add upto 90°

Thus, we have,

$2x+14+x+7=90$

Simplifying, we get,

$3x+21=90$

$3x=69$

$x=23$

Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

$2x+14=2(23)+14=46+14=60$

Thus, the measure of ∠CBD is 60°

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3 years ago

Find the greatest common factor of 8m 3 and 6m 4

irina [24]

ANSWER

$2{m}^{3}$

EXPLANATION

The expressions are

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and

$6 {m}^{4} = 2 \times 3 {m}^{4}$

The greatest common factor is the product the least powers of the common factors.

$= 2 {m}^{3}$

5 0

3 years ago