Answer:
<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3><h3 />
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length of the rectangle
w is the width
From the question
length of a rectangular picture is 5 inches more than three times the width is written as
l = 5 + 3w
Now substitute this into the above equation
Perimeter = 74 inches
74 = 2(5 + 3w) + 2w
74 = 10 + 6w + 2w
8w = 74 - 10
8w = 64
Divide both sides by 8
w = 8 inches
Substitute w = 8 into l = 5 + 3w
That's
l = 5 + 3(8)
l = 5 + 24
l = 29 inches
<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3>
Hope this helps you
Part A:
The circumference of the circle is 197.92.
Explanation:
The formula for circumference of a circle is C=2 πr. If you insert the numbers, it would be C=2 x 3.14 x 31.5. Hence, the answer is 197.92.
Part B:
The area is 3117.25 square cm.
Explanation:
The formula for area of a circle is A= πr ². Inserting the numbers, it is A=3.14 x 31.5 ². Therefore the answer is 3117.25 cm ².
You would do 375 divided by 60% and get 6.25 if need to round to nearest whole it would be 6
Answer: 16590
Step-by-step explanation:
The formula we use to find the sample size is given by :-
, where p = prior estimate of population proportion.
= Critical z-value (Two- tailed)
E= Margin of error .
Let p be the population proportion of cyanobacteria.
Given : E = 0.01
Critical value for 99% confidence interval : 
If Ian does not want to rely on previous knowledge , then we assume p=0.5 because the largest standard error is at p=0.5.
Now, the required sample size = 
Required sample size = 16590
