Answer:
x = 13
Step-by-step explanation:
For this problem, we will simply uses properties of addition and multiplication to isolate the x variable for the following equation.
4x - 7 = 45
Now consider the following. First, we must isolate the x term by adding 7 to both sides.
4x - 7 = 45
4x -7 +7 = 45 +7
4x = 52
Second, let's further isolate x by multiplying both sides by 1/4 to create a coefficient of 1 Infront of the x variable.
4x = 52
(1/4) * 4x = 52 * (1/4)
x = 13
Hence, we have solved the equation 4x-7=45 where x=13.
Cheers.
Answer: We do not reject the null hypothesis.
Step-by-step explanation:
- When the p-value is greater than the significance level , then we do not reject the null hypothesis or if p-value is smaller than the significance level , then we reject the null hypothesis.
Given : Test statistic : 
Significance level : 
By using the standard normal distribution table ,
The p-value corresponds to the given test statistic ( two tailed ):-
Since the p-value is greater than the significance level of 0.02.
Then , we do not reject the null hypothesis.
Answer:
The length of this rectangle is 6 units.
Step-by-step explanation:
Let the width of the rectangle be x.
x • (x+2) = 48
x^2+2x=48
x^2+2x-48=0
x^2 - 6x + 8x - 48
x(x-6) 8(x-6)
(x+8)(x-6)
x=-8,6
Answer:
<u>4 1/12. (Four, one by twelve).</u>
Step-by-step explanation:
7/12 × 7 =?
7/12×7 = <u>49/12.</u>
The answer is now in improper fraction. When we convert it to mixed fraction we get the answer as <u>4 1/12. (Four, one by twelve).</u>
I don't exactly know what a net is, but I can figure out the surface area (maybe). When you put this pattern together, you have to make a couple of assumptions.
First of all the 2 triangles are connected to a base that's 8 by 13.
Base
The area of the base = 8 * 13 = 104 square feet.
Two Triangles.
The area of any triangle is
Area = 1/2 b * h
Area = 1/2 *12 * 5
Area = 30 square feet. There are 2 triangles so ...
The total area of both is 60 square feet.
Overlap
Now we come to the tough part. how big is it from the first dotted line to the second one?
The answer is 5. But why? Well the 5 comes from the the length of the side that has to be covered by this pattern. The 5 is part of the triangle.
How far across is the dotted line? The answer is 8. Why again? That's the width of the whole prism or pattern.
So the area between the two dotted lines is 5 * 8 = 40
Finally the area over the 12.
The question is how far is it from the second dotted line to the last boundary? The answer is 12. And it's width is 8
So the area = 12 * 8 = 96
Total area
96 + 60 + 40 + 104 = 300 square feet.
