1/2 (1/16 + 1/12)
1/2 ((3 + 4 )/48)
1/2 × 7/48
= 7/96
Answer:
c
Step-by-step explanation:
just did it on a.pex
Answer:
The estimate volume of the box holding the tissue boxes V;
V = nv = 9×125
V = 1125 cubic inches
Attached is an image for further understanding of the question;
Step-by-step explanation:
Given;
Volume of each tissue box v = 125 cubic inches
Number of tissues n from the attached image;
n = 3×3 = 9 tissue boxes
The estimate volume of the box holding the tissue boxes V;
V = nv = 9×125
V = 1125 cubic inches
Answer:
0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.
Step-by-step explanation:
For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
53% reported that they entered a profession closely related to their college major.
This means that ![p = 0.53](https://tex.z-dn.net/?f=p%20%3D%200.53)
9 of those survey subjects are randomly selected
This means that ![n = 9](https://tex.z-dn.net/?f=n%20%3D%209)
What is the probability that 3 of them entered a profession closely related to their college major?
This is P(X = 3).
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348](https://tex.z-dn.net/?f=P%28X%20%3D%209%29%20%3D%20C_%7B9%2C3%7D.%280.53%29%5E%7B3%7D.%280.47%29%5E%7B6%7D%20%3D%200.1348)
0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.
Answer:Z=1
Step-by-step explanation: if it is 11z+5, then... minus 9z on each side to get 2z+5=7. Minus 5 on each side to get 2z=2. Divide bboth sides by two to get 1z=1.