5 using the Pythagorean theory
Answer:
15%
Step-by-step explanation:
First, let's find how many pounds the dog's weight increased by during the year.
80 - 64 = 16
Now, knowing that the dog's weight increased by 16 pounds, we can use that to figure out the percentage of 16 out of 64 (divide them, then multiply by 100 to get a percentage).
• 100 = 0.25 • 100 = 25%
<h3>
Answer: 65 square units</h3>
===============================================
Work Shown:
P = area of triangle
P = 0.5*base*height
P = 0.5*5*4
P = 10 square units
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Q = area of square
Q = side*side
Q = 5*5
Q = 25 square units
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R = area of trapezoid
R = height*(base1+base2)/2
R = 5*(7+5)/2
R = 5*12/2
R = 60/2
R = 30
----------------
T = total area of the entire figure
T = P+Q+R
T = 10+25+30
T = 65 square units
Answer:
The probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:

The information provided is:
<em>n</em> = 596
<em>p </em>= 0.09
As the sample size is quite large, i.e. <em>n</em> = 596 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by a Normal distribution.
The mean and standard deviation are:

Compute the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% as follows:


Thus, the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.
5 × 3.25= 16.25 then 16.25 + 16.25 = $32.50 < thats the answer.