Answer: 97.72%
Step-by-step explanation:
Given : A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal curve.
Let x be the random variable that represents the shoe sizees.
Also, The population mean = 
; Standard deviation: 
Formula for z:-
Put x= 8, we get
Now, the probability that the male shoe sizes are greater than 8 :-
Hence, the percent of male shoe sizes are greater than 8 is 97.72%.
Answer: First option.
Step-by-step explanation:
Given the following equation provided in the exercise:
![\sqrt[3]{x+8}=-4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B8%7D%3D-4)
You can follow the steps indicated below in order to find the solution of this equation:
1. Cubing both sides of the equation, you get:
![(\sqrt[3]{x+8})^3=(-4)^3\\\\x+8=-64](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%2B8%7D%29%5E3%3D%28-4%29%5E3%5C%5C%5C%5Cx%2B8%3D-64)
2. Finally you must subtract 8 from both sides of the equation:
You can notice that this solution matches with the first option.
All transportation (bus, cab, train) are all similarly likely to be selected, and 1 of them must be selected at morning and evening, so we get: P (bus) = P (cab) = P (train) = 1/3. We also have P(no cab in evening) = P(no cab at morning) = 2/3
Now, P(using cab exactly once) = P(cab at morning and no cab in the evening) + P(no cab at morning and cab in the evening)
= P(cab, no cab) + P(no cab, cab)
= 1/3 * 2/3 + 2/3 * 1/3
= 2/9 + 2/9
= 4/9
Probability that Elizabeth uses a cab only once is 4/9.
Brianna's thinking is wrong because obviously all of the expressions are going to equal -4 when x is 0 because -4 would be the only value. Also, if x was a different number, the expressions wouldn't be equivalent. The equivalent expressions are A. 9x - 3x - 4, and C. 5x + x - 4. This is because when both are simplified, they equal 6x - 4.
