Answer:
x = 1/2
Step-by-step explanation:
x^3 = 1/8
Take the cube root of each side
x^3 ^ (1/3) = (1/8)^ (1/3)
Rewriting 8 as 2^3
x^3 ^ (1/3) = (1/2^3)^ (1/3)
x = 1/2
Answer:
The percentage of the students scored higher than 89% is 15.87%
Step-by-step explanation:
we are given
The average test scores for a particular test in algebra was 84
so, mean is 84

a standard deviation of 5
so,

we have
x=89
now, we can use z-score formula

now, we can plug values


now, we can use calculator
and we get

So,
The percentage of the students scored higher than 89% is 15.87%
Lets create both equations and :
f(x) = 5x^2 + 1
linear binomial form: x - 4
according to the remainder theorem, x - 4 is a divisor of f(x) if and only if f(4) = 0
f(4) = 5*16 + 1 = 81
hence x - 4 is not a divisor of f(x)
Answer:
5! (5 factorial) or 120 ways
Step-by-step explanation:
You can arrange P different ways. R can be arranged only 4 different ways because Pwill be in one of the spots. Next, you can arrange "I" 3 different ways because P and R are already arranged in 2 spots, meaning you cant put "I" there. Next, S can be arranged in 2 different ways for the same reason. And lastly, M can only be arranged in 1 different way because the other spots are taken.
You can put it in any order. For example, M could be arranged 5 ways and P could be arranged in 1 way. You will still get 120 ways
Hopefully this helped. The explanation might be a bit confusing but I tried my best. I'm not good with explaining my solutions but I always try