Multiply through the parenthesis:
6x - 3 = -51
Combine like terms:
6x = -48
Divide by 6 on both sides:
x = -8
Answer:
The sum is
.
Step-by-step explanation:
Consider the provided information.
The given expression are - 10t and t - 10t
We need to find the sum of the opposite of -10 t and t - 10t.
The opposite of -10 t is 10 t.

Remove the parenthesis.

Simplify the number

Use Additive inverse.

Hence, the sum is
.
Answer:
a) f g(x) = x³ - 5 x² + x -5
b) g(f(x) = x³ - 5 x² + x -5
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that f(x) = x² + 1 and g(x) = x-5
a)
f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26
<u><em>Step(ii):-</em></u>
a) f g(x) = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5
b) g(f(x) = g(x) f(x) = (x-5) (x²+1) = x³ - 5 x² + x -5
Using the binomial distribution, it is found that:
- The mean of X is of 0.72.
- The standard deviation of X is of 0.81.
<h3>What is the binomial probability distribution?</h3>
It is the probability of exactly <u>x successes on n repeated trials, with p probability </u>of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
The standard deviation of the binomial distribution is:

For this problem, the parameters are given as follows:
n = 8, p = 0.09.
Hence the mean and the standard deviation are, respectively:
- E(X) = np = 8 x 0.09 = 0.72.
More can be learned about the binomial distribution at brainly.com/question/24863377
#SPJ1
Answer:
15/32
Step-by-step explanation:
5/8 ÷ 1 1/3
Change to an improper fraction
5/8 ÷ ( 3*1+1)/3
5/8 ÷ 4/3
Copy dot flip
5/8 * 3/4
15/32