Answer:
Does not exceed 2% in both cases.
Step-by-step explanation:
Given that a manufacturer of interocular lenses will qualify a new grinding machine if there is evidence that the percentage of polished lenses that contain surface defects does not exceed 2%.
Sample proportion = 
Create hypothesses as
(Right tailed test at 5% significance level)
P difference = 0.004
Std error = 0.0089
test statistic Z = p diff/std error = 0.4518
p value = 0.326
Since p >alpha, we accept nullhypothesis
b) For confidence interval 97% we have
Margin of error = 2.17* std error = 0.0192
Confidence interval
= 
Since 2% = 0.02 lies within this interval we accept null hypothesis.
Does not exceed 2%
Since
Answer: I think it’s quadratic binomial
Step-by-step explanation:
The question is incomplete. The complete question is :
Let 
be the density function for the shelf life of a brand of banana which lasts up to 4 weeks. Time, t, is measured in weeks and 
. Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place.
Answer:
2.4
Step-by-step explanation:
Given :
Mean :
![$=-0.0375 \left[ \frac{t^4}{4} \right]^4_0 + 0.225 \left[ \frac{t^3}{3} \right]^4_0$](https://tex.z-dn.net/?f=%24%3D-0.0375%20%5Cleft%5B%20%5Cfrac%7Bt%5E4%7D%7B4%7D%20%5Cright%5D%5E4_0%20%2B%200.225%20%5Cleft%5B%20%5Cfrac%7Bt%5E3%7D%7B3%7D%20%5Cright%5D%5E4_0%24)
= 2.4
Therefore, the mean is 2.4
Answer:
c)
Step-by-step explanation:
(6/2)^2 = 9
The length of the ladder is 34.33 feet if the electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 33 feet up. The ladder makes an angle of 74° with the ground.
<h3>What is a right-angle triangle?</h3>
It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
We have:
An electrician leans an extension ladder against the outside wall of a
house so that it reaches an electric box 33 feet up. The ladder makes
an angle of 74° with the ground.
The ladder, wall, and ground makes a right angle triangle.
From the sin ratio;
Here is X is the length of the ladder.
We know sin74 = 0.961
After putting, we will get:
X = 34.329 ≈ 34.33 feet
Thus, the length of the ladder is 34.33 feet if the electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 33 feet up. The ladder makes an angle of 74° with the ground.
Learn more about the right angle triangle here:
brainly.com/question/3770177
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