Hello!
<h3><em><u>Answer</u></em></h3>The area of the right triangle is 30 . The perimeter is 40 in.
First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.
+
64 + 225 =
√289 =
17 =
Now that we have all the side lengths, we can use the formulas to find the area and perimeter.
<h3>AREA:</h3>A =
A = (15 × 8) ÷ 2
A = 30
<h3>PERIMETER:</h3>P = a + b + c
P = 8 + 15 + 17
P = 40
Answer: 0.8461
Step-by-step explanation:
Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.
As per given , we have p=0.40
A random sample is taken with size : n= 400
Expecting sample proportion :
Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :
[By z-table]
Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .