Z and 96 are vertical angles so they equal each other. The other angle makes a straight line with the 96 degree angle so subtract from 180 to find the measure of that angle is 84. Set the expression equal to 84 and solve.
192 people were survey
Step-by-step explanation:
The given is:
- 85% of the people survey thought the price of the car wash was reasonable
- 164 people thought the cost of the car wash was reasonable
We need to find how many people were survey
Assume that x people were survey
∵ There were x people survey
∵ 85% of them thought the price of the car wash was reasonable
∴ The number of the people who thought the price of the car wash
was reasonable = 85% × x
∵ 85% =
= 0.85
∴ The number of the people who thought the price of the car wash
was reasonable = 0.85 x
∵ 164 people thought the cost of the car wash was reasonable
- Equate 0.85 x and 164
∴ 0.85 x = 164
- Divide both sides by 0.85
∴ x = 192.94
∵ x represents a number of people, then it must be integer
∴ The number of people were survey = 192
192 people were survey
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Answer:
The value of the test statistic 
Step-by-step explanation:
From the question we are told that
The high dropout rate is
% 
The sample size is 
The number of dropouts 
The probability of having a dropout in 1000 people 
Now setting up Test Hypothesis
Null 
Alternative
The Test statistics is mathematically represented as

substituting values


Answer:
36
Step-by-step explanation:
a1 = 4
an=an-1 *3
a2 = a1 *3 = 4*3 = 12
a3 = a2*3 = 12*3 = 36