Answer:
The value is c = 21.1445.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb.
This means that ![\mu = 12, \sigma = 3.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%2012%2C%20%5Csigma%20%3D%203.5)
What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight?
This 1 added to the value of X for the 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![2.327 = \frac{X - 12}{3.5}](https://tex.z-dn.net/?f=2.327%20%3D%20%5Cfrac%7BX%20-%2012%7D%7B3.5%7D)
![X - 12 = 2.327*3.5](https://tex.z-dn.net/?f=X%20-%2012%20%3D%202.327%2A3.5)
![X = 20.1445](https://tex.z-dn.net/?f=X%20%3D%2020.1445)
1 + 20.1445 = 21.1445
The value is c = 21.1445.
Answer:
A
Step-by-step explanation:
B,.C and D are wrong because
B states all. The hypothesis stated above does not mention all samples
.
C. Mentions a mean. Per the hypothesis, the percentage of defective screens was an actual number and not a mean.
D. The question is not referring to a standard deviation
Answer:
m = 6
n = 9/2 = 4.5
Step-by-step explanation:
we are dealing with similar triangles, and you need to find the scaling factor from small to large (or vice versa).
so, the triangle with 2 and 3 as sides turns into the larger triangle with 4+2 and m+3 as sides.
so, what is the scaling factor to go from 2 to 4+2 (=6) ? the scaling factor is 3.
so, (m + 3) = 3×3
m + 3 = 9
m = 6
and now we are further growing into the large triangle.
that means the right side goes from 6 to 6+3 = 9.
the factor to go from 6 to 9 is 9/6 = 3/2.
so, n + 6 + 3 = 3/2 × (6 + 3)
n + 9 = 3/2 × 9 = 27/2
2n + 18 = 27
2n = 9
n = 9/2
Answer:
63
Step-by-step explanation:
If you put them from least to greatest order you cross out from both ends until you get to the middle, in that case I got to the middle in between 63 and 63 so you can go in between them so your answer is 63