Alright!
To solve, all we need to do is <em>subtract the area of the inner circle from the arear of the outer circle.</em>
But first, we need to find the area of both
Key equation: πr²
π = 3.14
Inner cirle area = π13²
π13² = 530.66
Outer cirle area = π21²
I got 21 by adding 8 and 13: both added together makes the radius of the larger circle
π21² = 1,385.74
Now let's <em>subtract. </em>
1,385.74 - 530.66 = 855.08
The area of the blue is = 855.08 yards²
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Part 2:
Hexagon with 6cm sides and an apothem of 
The answer is C. 93.53
Answer:
z= 3.63
z for significance level = 0.05 is ± 1.645
Step-by-step explanation:
Here p = 42% = 0.42
n= 500
We formulate our null and alternative hypotheses as
H0: p= 0.42 against Ha : p> 0.42 One tailed test
From this we can find q which is equal to 1-p= 1-0.42 = 0.58
Taking p`= 0.5
Now using the z test
z= p`- p/ √p(1-p)/n
Putting the values
z= 0.5- 0.42/ √0.42*0.58/500
z= 0.5- 0.42/ 0.0220
z= 3.63
For one tailed test the value of z for significance level = 0.05 is ± 1.645
Since the calculated value does not fall in the critical region we reject our null hypothesis and accept the alternative hypothesis that more than 42% people owned cats.
the perimeter is 35 and are is 40
<u>Answer:</u>
<em>101.6 feet</em>
<u>Step-by-step explanation:</u>
<em>First compute the perimeter of the first two windows: (3.4+5.2)*2=17.2</em>
<em>The perimeter of the four other windows: (3.6+4.8)*2=16.8</em>
<em>The total number of feet needed for the first two windows:</em>
<em>17.2*2 = 34.4 feet</em>
<em>The total number of feet needed for the four windows:</em>
<em>16.8*4 = 67.2 feet</em>
<em />
<em>The total number of feet needed is then: 34.4 + 67.2 = 101.6 feet.</em>
Answer:
H.
Step-by-step explanation:
the number of premiums sold in week 3 was 50
the number of premiums sold in week 2 was 25
25 times 2 is 50
