All categories

3 years ago

40 pts!

Mathematics

2 answers:

Alik [6]3 years ago

7 0

Answer:

13.08

Step-by-step explanation:

First find the area of the circle

A = pi r^2

A = 3.14 * 5^2

A =3.14 *25

A =78.5

The angle of the purple sector is 60 degrees

A full circle is 360 degrees

The fraction of the circle that is purple is 60/360 = 1/6

Multiply the area of the circle by 1/6

1/6* 78.5 =13.0833333

Rounding to the nearest hundredth

13.08

just olya [345]3 years ago

3 0

Answer:

given

radius [r]=5units

area of purple sector :=60/360×πr²=1/6×π×5²=13.08unit squared

You might be interested in

The product of 9 and the diffrence of 6 and 4 into a numerical expression

Goryan [66]

Answer:

9(6 - 4)

Step-by-step explanation:

9(6 - 4)

9 x 2 = 18

18 is your answer to the expression

hope this helps

hope this is right

6 0

3 years ago

Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $237.36. Water World is offering an

Juliette [100K]

Answer:

Divide the price by the number of months to find the monthly rate.

$237.36 ÷ 24 = $9.89 per month

$184.50 ÷ 18 = $10.25 per month

<u>The two year club, Aqua Plus is cheaper</u>

Step-by-step explanation:

6 0

3 years ago

Forty five men can construct a road 210m long in 60 days. What length would be constructed by 72 men in 50 days assuming that al

blagie [28]

Answer:

280m

Step-by-step explanation:

Work rate would be (210m)/(45people)(60days)=7/90 m/(people)(day)

7/90 m/(people)(day) * 72people * 50days =280m

7 0

3 years ago

A pathologist knows that 14.9% of all deaths are attributable to myocardial infarctions (a type of heart disease). (Either you h

garik1379 [7]

Answer:

a) The mean number is 745 and the standard deviation is 25.18.

b) 896 deaths is a significantly high number, which means that there is cause for concern.

Step-by-step explanation:

For each death, there are only two possible outcomes. Either it is attributable to myocardial infarctions, or it is not. The probability of a death being attributable to myocardial infarctions is independent of other deaths. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

A value X is significantly high is:

$X > E(X) + 2\sqrt{V(X)}$

In this problem:

$p = 0.149, n = 5000$

a. Find the mean and standard deviation for the number of such deaths that will occur in typical region with 5000 deaths.

$E(X) = np = 5000*0.149 = 745$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5000*0.149*0.851} = 25.18$

The mean number is 745 and the standard deviation is 25.18.

b. In one region, 5000 death certificates are examined, and it is found that 896 deaths were attributable to myocardial infarction. Is there cause for concern? Why or why not?

Is 896 a significantly high number?

$E(X) + 2\sqrt{V(X)} = 745 + 2*25.18 = 795.36$