Given:
a.) ∠9 = 105°
b.) ∠2 = 63°
Step 1: Determine the measure of ∠10.
∠9 and ∠10 are Supplementary Angles. This means that the sum of the two angles is equal to 180°.
From this, we generate the following equation:
Let's then now proceed to find out the measure of ∠10.
Step 2: Determine the measure of ∠3.
∠10 and ∠3 are Alternate Exterior Angles. Under this, the two angles must be congruent.
Therefore,
Step 3: Determine the measure of ∠1.
∠1, ∠2 and ∠3 are also Supplementary Angles. This means that the sum of the three angles is equal to 180°.
Thus, we generate the equation below:
Let's now find the measure of ∠1,
Therefore, the measure of ∠1 is 42°.
What do you need help with
"<span>Wilma predicts rolling a 2 about 50 times if she rolls a die 300 times" is the one situation among the following choices given in the question that shows the </span><span>appropriate use of the law of large numbers. The correct option among all the options that are given in the question is the first option or option "a". I hope it helped you.</span>
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:
39.473%
Step-by-step explanation:
It is actually fairly simple to get the answer to this. What you can do to find any percentage, is to take the amount done, or whatever it is in the scenario, and divide it by the total. It is like turning it into a fraction, which you can do as well. Turn this into a fraction, and then convert it. 15/38, 15 divided by 38 = 39.473.
Hope this helped ^-^
