A curve that is an intersection of the surface of a cone with a plane.
You are solving for x, correct?
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.
Answer:
- The side opposite ∠L is NM.
- The side opposite ∠N is ML.
- The hypotenuse is LN.
Step-by-step explanation:
Even a crude drawing can be helpful as you sort this out. (See attached.)
In general, the side opposite an angle <u>will not</u> have the letter of the angle in its name. Similarly, a side adjacent to the angle <u>will</u> have the angle letter in its name.
The statements that apply are ...
- The side opposite ∠L is NM.
- The side opposite ∠N is ML.
- The hypotenuse is LN. (opposite right angle M)
This is an incomplete question, the image is shown below.
Answer : The fraction empty container is, 
Step-by-step explanation :
As we are given that:
The capacity of container = 60 mL
In the given figure, the container is filled with 25 mL.
That means,
60 - 25 = 35 mL container is empty.
Now we have to calculate the fraction of it is empty.
The fraction of it is empty = 
The fraction of it is empty = 
The fraction of it is empty = 
Therefore, the fraction empty container is, 