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3 years ago

Calculate the area of this circle please

Mathematics

1 answer:

Anni [7]3 years ago

4 0

Answer:

2289.06 cm

Step-by-step explanation:

the equation for area of a circle is $\pi r^{2}$

Radius is 1/2 the diameter = 27

3.14 (27^2)=2289.06 cm

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A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 340 babies were born, a

Bas_tet [7]

Answer:

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

b)Yes, the proportion of girls is significantly different from 0.5.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

In the study 340 babies were born, and 289 of them were girls. This means that $n = 340, \pi = \frac{289}{340} = 0.85$

Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born.

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 - 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.80$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 + 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.90$

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

Does the method appear to be effective?

b)Yes, the proportion of girls is significantly different from 0.5.

4 0

3 years ago

In a study by the Texas A & M University, found there were 23,000 prairie dogs in Texas in 2000. By 2010, the number has inc

Dima020 [189]

let x=k

D=dog

T=Taxes

I=increase P=population

solve k

d=23,000

t=2000

d=2.3e^

divide both sides by 2

after year is,2000+k2-2.3

=1.999.7

k2- 23,000=

k-x

k2-2

5 0

3 years ago

Mr. James accepted a new job with a starting annual salary of $32,500. He will receive an annual raise of $1,500 beginning his s

Amanda [17]

Answer:

He will earn $139,000 after 4 years

Step-by-step explanation:

32,500+34,000+35,500+37000= $139,000

7 0

3 years ago

How to turn 12/25 in precent

Len [333]

Answer:

48%

Step-by-step explanation:

To convert any fraction to a percentage, we need to multiply it by 100.

$\frac{12}{25}*100$

$= \frac{}{} 12*4$

= 48%

7 0

3 years ago

The perimeter of the rectangle is 30 centimeters. What is the length of side c?

Rainbow [258]

The answer would be 10

8 0

3 years ago