Answer:
y=5x+21
Step-by-step explanation:
I included the work in the picture. lmk if you need more explaining
Answer:
90
Step-by-step explanation:
9*6=54
54*5= 270
270/3=90
Answer:
-8x^12
Step-by-step explanation:
When you have an exponent outside of parenthesis, it is raising everything in the parenthesis to that exponent (in this case, the third). The first step to solve this is to multiply the exponents in the parenthesis by 3. This is called the power of a power rule.
-2 is being raised to the first power. 1x3 = 3, and x is being raised to the fourth power. 4x3 = 12, so you now have:
-2^3x^12
You can simplify -2^3: -2 x -2 x -2 = -8
This leaves you with -8x^12
You can check this by putting -8x^12 and (-2x^4)^3 into a graphing calculator. You know that you simplified correctly if they show the same graphs.
Answer:
The answer to your question is the letter A) x ≥ 0.5
Step-by-step explanation:
Inequality
2(4x - 3) ≥ -3(3x) + 5x
Process
1.- Expand
8x - 6 ≥ - 9x + 5x
2.- Simplify
8x - 6 ≥ - 4x
3.- Add 6 units in both sides
8x - 6 + 6 ≥ -4x + 6
4.- Simplify
8x ≥ -4x + 6
5.- Add 4x in both sides
8x + 4x ≥ -4x + 6 + 4x
6.- Simplify
12x ≥ 6
7.- Divide by 12 both sides
12x/12 ≥ 6/12
8.- Simplify
x ≥ 1/2 or 0.5
Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
In which:
is the sample mean.
is the standard deviation for the population.
The margin of error is given by:
In this problem, we have that the parameters are given as follows:
.
Hence, solving for n, we find the sample size.
Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.
More can be learned about the z-distribution at brainly.com/question/25890103
