Using the Central Limit Theorem, we have that:
a) Yes, it can be used, as np > 10 and n(1 - p) > 10.
b) There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean
and standard deviation 
, as long as 
and 
.
For the sample, we have that:
Hence the normal approximation can be used.
As for part B, if we have p = 0.9 and n = 100, the mean and the standard error are given by:
.
The probability of a sample proportion of 85% of less is the <u>p-value of Z when X = 0.85</u>, hence:
By the Central Limit Theorem
Z = -1.67
Z = -1.67 has a p-value of 0.0475.
There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.
More can be learned about the Central Limit Theorem at brainly.com/question/24663213
#SPJ1
Yes they are
. 90/150= 3/5
so 45/75 and 3/5.
Answer:
I dont have the answer on the account that theres no number for how many seats are at each table but I can tell you how to find the answer
Step-by-step explanation:
you take the number of seats and divide it from 206 and 238 and those two numbers will be your range
Tony’s backpack can carry weight up to 22 but not more that that
If the variable n represents the total weight carried by tony
Then ; n less than or equal to (n=1+3+3b
=4+3b
Where b represents book
4+3b is less or equal to 22
3b is less or equal to 18
b is less or equal to 6
Therefore Tony’s backpack cannot carry more than 6 books
Hey there!
(Part 1) <span>
Your question states:
Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer.
180</span>°-70°= 110° ✓
This person would be driving
110° degrees. ✓
So, what we would do it do 180° subtracted by 70. We need to find how much he turns onto King Avenue heading northeast. So we do 180° because that would be considered a full half turn, so 180° subtracted by 70 and that would give you
. . .
180° - 70° =
(Part 2)
Your question states:
<span>
Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.</span>
This may be a little tricky on this side. These side's are coherent. As we know now that the angel on (King Ave.) was 110°, we would say the on the (3rd angel through King Ave.) that angel as well would be 110° because that is the angel on top. This would mean that they would be the same. But the thing is, we are finding what is the angel when the car is traveling southwest on King Avenue and turns left onto 3rd Street. This angel would be 70° degrees because as we do 70° + 70° + 110° + 110° = 360°.
This is how we would know that this would be that angel going into (<span>3rd Ave).
</span>My steps: 360° - 110° - 110° = 140°.
140° ÷ 2 =
∡70° ✓
Your correct answer would be
Step #3
Your question states:
<span>Suppose a car is traveling northeast on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.
</span>
Your correct answer would equal 110°. <span>✓</span>
My steps:
360° - 75° - 75° = 210°
210° ÷ 2 =
105° ✓
Your correct answer would be
_____________________________________________________________
I Hope this help you!
~Jurgen
