You have two binomials. I would just FOIL them:
First: 4 x 2 = 8
Outside: 4 (-√3) = -4√3
Inside: -3√3 (2) = -6√3
Last: -3√3 (-√3) = 9
Addummup: 8 - 4√3 - -6√3 + 9 = 17 - 10√3
Answer:
Step-by-step explanation:
9x - 77 = 7x - 43
2x - 77 = -43
2x = 34
x = 17
9(17) - 77 = 153 - 77 = 76
7(17) - 43 = 119 - 43 = 76
z + 76 = 180
z= 104
The solution to inequality is less than the negative of 21. Then the correct option is C.
<h3>What is inequality?</h3>
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
−(1/3)x + 10 > 17
Then the solution to the inequality will be
−(1/3)x + 10 > 17
−(1/3)x > 17− 10
−(1/3)x > 7
When the sign is changed then the equality sign also changed.
(1/3)x < −7
x < − 21
The value of x is less than the negative of 21.
Thus, the correct option is C.
More about the inequality link is given below.
brainly.com/question/19491153
#SPJ1
Answer:
865
Step-by-step explanation:
We have that in 95% confidence level the value of z has a value of 1.96. This can be confirmed in the attached image of the normal distribution.
Now we have the following formula:
n = [z / E] ^ 2 * (p * q)
where n is the sample size, which is what we want to calculate, "E" is the error that is 2% or 0.02. "p" is the probability they give us, 5 out of 50, is the same as 1 out of 10, that is 0.1. "q" is the complement of p, that is, 1 - 0.1 = 0.9, that is, the value of q is 0.9.
Replacing these values we are left with:
n = [1.96 / 0.02] ^ 2 * [(0.1) * (0.9)]
n = 864.36
865 by rounding to the largest number.
<span>The answer is $624.15</span>
