The question is incomplete. The complete question is :
The breaking strengths of cables produced by a certain manufacturer have a mean of 1900 pounds, and a standard deviation of 65 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 150 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1902 pounds. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the mean breaking strength has increased?
Solution :
Given data :
Mean, μ = 1900
Standard deviation, σ = 65
Sample size, n = 150
Sample mean, 
= 1902
Level of significance = 0.01
The hypothesis are :
Test statics :
We use the z test as the sample size is large and we know the population standard deviation.
Finding the p-value:
P-value = P(Z > z)
= P(Z > 0.38)
= 1 - P(Z < 0.38)
From the z table. we get
P(Z < 0.38) = 0.6480
Therefore,
P-value = 1 - P(Z < 0.38)
= 1 - 0.6480
= 0.3520
Decision :
If the p value is less than 0.01, then we reject the 
, otherwise we fail to reject .
Since the value of p = 0.3520 > 0.01, the level of significance, then we fail to reject .
Conclusion :
At a significance level of 0.01, we have no sufficient evidence to support that the mean breaking strength has increased.
Answers:
x intercept is (-7.5, 0)
y intercept is (0, 5.5)
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How to get these answers:
Simply look at where the graph crosses the x axis to determine the x intercept. This is directly halfway between the -8 and -7, so the line crosses through -7.5 on the x axis meaning that the x intercept is located at (-7.5, 0)
Similarly, the y intercept is (0, 5.5) as it crosses exactly halfway between the 5 and 6 on the y axis.
Any point is of the form (x,y)
The x intercept always has y = 0. The y intercept always has x = 0.
The total weekly pay of the company is $754.98
What is total hours worked for the week?
The overtime is the excess of total hours, which is 47 hours, over the regular hours of 40 hours of work a week, in essence, overtime hours is 7(47-40)
Overtime rate=regular hour pay*1.5
regular hour pay=$14.95
overtime rate=$14.95*1.5
overtime rate=$22.425
overtime pay for 7 hours=7*$22.425
overtime pay for 7 hours=$156.98
The regular pay is 40 hours of regular time multiplied regular pay per hour
regular pay=$14.95*40
regular pay=$598.00
total pay=regular pay+overtime
total pay=$598.00+$156.98
total pay=$754.98
Find out more about overtime on:brainly.com/question/17043970
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The exact value is
<span>sin<span>(arccos<span>(<span>3/4</span>)</span>)</span></span>The equation for cosine is <span>cos<span>(A)</span>=<span>AdjacentHypotenuse</span></span>. The inside trig function is <span>arccos<span>(<span>3/4</span>)</span></span>, which means <span>cos<span>(A)</span>=<span>3/4</span></span>. Comparing <span>cos<span>(A)</span>=<span>AdjacentHypotenuse</span></span> with <span>cos<span>(A)</span>=<span>3/4</span></span>, find <span>Adjacent=3</span> and <span>Hypotenuse=4</span>. Then, using the pythagorean theorem, find <span>Opposite=<span>√7</span></span>.<span>Adjacent=3</span><span>Opposite=<span>√7</span></span><span>Hypotenuse=4</span>Substitute in the known variables for the equation <span>sin<span>(A)</span>=<span>OppositeHypotenuse</span></span>.<span>sin<span>(A)</span>=<span><span>√7</span> over 4</span></span>Simplify.<span><span>√7</span><span> over 4</span></span>
