The simplified expression for the area of the trapezoid is
<h3>What is area?</h3>
The area of a shape is the amount of space the shape occupies
<h3>What is a simplified expression?</h3>
A simplified expression involves rewriting an expression in a simpler form
The area of the trapezoid is given as:
Collect like terms
Evaluate the like terms
Hence, the simplified expression for the area of the trapezoid is
Read more about simplified expressions at:
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Answer:
We are given that The valve was tested on 150 engines and the mean pressure was 7.7 lbs/square inch.
We are also given that the valve was designed to produce a mean pressure of 7.6 lbs/square inch
So,
Null hypothesis:
Alternate hypothesis :
Since n > 30 and population standard deviation is given
So, We will use z test
Formula :
Substitute the values
refer the z table for p value
so, p value is 0.9927
Since it is a two tailed test So, p = 2(1- 0.9927) = 0.0146
α = 0.1
p value< α
So, we reject null hypothesis
Hence There is sufficient evidence at the 0.1 level that the valve does not perform to the specifications
Answer:
Positive
Step-by-step explanation:
This is an equation, with distribution in it. The number on the outside is positive, and the one inside is negative. Furthermore, since the number on the outside is larger than the one inside, the outcome will be positive.