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2 years ago

What does the ratio of the circumference to the diameter represent? Explain

1 answer:

6 0

That is the exact representation of the constant π. By definition:

π=C/d, where C is the circumference of a circle and d is the diameter.

You might be interested in

Simplify (-1 1/2) ÷ 3/4 x -2/3

Goryan [66]

Answer:

Step-by-step explanation:

1 $\frac{1}{2}$ =1× $\frac{2}{2}$ , + $\frac{1}{2}$

(- $\frac{3}{2}$ )÷ $\frac{3}{4}$ ×(- $\frac{2}{3}$ )

$\frac{3}{2}$ × $\frac{4}{3}$ × $\frac{2}{3}$

$\frac{1}{2}$ ×4× $\frac{1}{3}$

4× $\frac{1}{3}$ = $\frac{1}{3}$ + $\frac{1}{3}$ + $\frac{1}{3}$ + $\frac{1}{3}$

= $\frac{4}{3}$

8 0

1 year ago

Tyler used 17.04 gallons of gas. Maria used 6.2 times as many gallons of gas as Tyler. How many gallons of gas did Maria use?

Vesnalui [34]

In that problem you will have to multiply, we know that Tyler used 17.04 gallons of gas, and that Maria used 6.2 times as many gallons of gas. So we are going to multiply 17.04 x 6.2 and the answer is 105.648, so Maria used 105.648 gallons of gas.

8 0

3 years ago

Which of the following sets of numbers could not represent the three sides of a right

Kay [80]

The answer is B). {20,21,28}

4 0

2 years ago

In studies for a medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.

timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

$p = 0.03$

$q = 1 - 0.03 = 0.97$

The mean is

$\mu = np$

$\mu = 643 \times 0.03 = 19.29$

The standard deviation is

$\sigma = \sqrt{npq}$

$\sigma = \sqrt{643 \times 0.03 \times 0.97}$

$\sigma =4.33$

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

$P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 1.20) \\ = 0.051$

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

$P(X \: < \: 24.5) = P(z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P(z \: < \: 1.20) \\ = 0.8849$

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

$P(X \: > \: 10.5) = P(z \: > \: \frac{10.5 - 19.29}{4.33} ) \\ = P(z \: > \: - 2.03)$

$= 0.9788$

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

$P(23.5 \: < \: X \: < \: 28.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{28.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 2.13) \\ = 0.1494$

3 0

3 years ago

Income amelia has a job babysitting for a neighbor. She is paid $20 plus $2.50 for each hour on the job. If amelia wants to earn

yarga [219]

Ok so firsst you do 40-20=20 20÷2.50=8 so that means amelia needs to babysit 8 hours to get $40
hope this helpd

4 0

2 years ago