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djverab [1.8K]
3 years ago
13

What is the radius, circumference, and area of a circle that has a diameter of 22?

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0

Answer:

Radius-11

Circumference-22π

Area-484π

Step-by-step explanation:

Radius is half of the diameter.

Circumference formula is 2πr

Area formula is πr²

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In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study
astra-53 [7]

Answer:

C. z = 2.05

Step-by-step explanation:

We have to calculate the test statistic for a test for the diference between proportions.

The sample 1 (year 1995), of size n1=4276 has a proportion of p1=0.384.

p_1=X_1/n_1=1642/4276=0.384

The sample 2 (year 2010), of size n2=3908 has a proportion of p2=0.3621.

p_2=X_2/n_2=1415/3908=0.3621

The difference between proportions is (p1-p2)=0.0219.

p_d=p_1-p_2=0.384-0.3621=0.0219

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{1642+1415}{4276+3908}=\dfrac{3057}{8184}=0.3735

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.3735*0.6265}{4276}+\dfrac{0.3735*0.6265}{3908}}\\\\\\s_{p1-p2}=\sqrt{0.00005+0.00006}=\sqrt{0.00011}=0.0107

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0219-0}{0.0107}=\dfrac{0.0219}{0.0107}=2.05

z=2.05

4 0
3 years ago
What is n? If 3 to the power of n equals 27
jok3333 [9.3K]
3^n=27

Solve Exponent.

3^n=27

log(3n)=log(27)(Take log of both sides)

n*(log(3))=log(27)

n=log(27) / log(3)

n=3

4 0
3 years ago
Read 2 more answers
2 2/3 + 3 3/4<br> This Is Fraction
dangina [55]

Answer:

6 5/12

Step-by-step explanation:

2 2/3 as a mixed number is 8/3

3 3/4 as a mixed number is 15/4

To make the 2 fractions have a common denominator, they become:

32/12 and 45/12

to add them up it will be: 77/12 which can be written as 6 5/12

6 0
2 years ago
Read 2 more answers
The parallelogram below is being covered with carpet. The carpet is priced at $2.80 per square meter. How much will it cost to c
cestrela7 [59]

Answer:

It will cost $79.38 to carpet the shape

Explanation:

Find the diagram of the parallelogram attached

Area of a parallelogram = Base * Height

Given

Base = 8.1m

Height = 3.5m

Area of the parallelogram = 8.1*3.5

Area of a parallelogram  = 28.35m²

Since 1m² = $2.80

28.35m² = x

Cross multiply

x = 28.35 * 2.80

Hence it will cost $79.38 to carpet the shape

5 0
2 years ago
Which is the best definition of a triangle?
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A figure formed by 3 segments connecting 3 non-colinear points
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3 years ago
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