One ruler is 12 inches and 12 inchs= 1 foot so 5 rulers equal 5 feet
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.




Hope this helps!
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-Charlie
I don't know the area of a parallelogram off the top of my head but you can use the area of the rectangle and the area of the triangle and add those. The area of the triangle is 1/2*base*height and use the pythagorean theorem to find the base. 3² + b² = 5²; 9 + b² = 25; b² = 16; b = 4. The area of the triangle is 1/2*4*3 or 6 in. Since there are two of them, the total area of the triangles are 12 in. The area of the rectangle is length*width or (12 - 4) * 3 which is 8 * 3 or 24in. Add these areas together to get 36in total
Answer:
AC ≈ 2.96
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos65° =
=
= 
Multiply both sides by 7
7 × cos65° = AC , thus
AC ≈ 2.96 ( to the nearest hundredth )