2. If x represents a positive integer, find the solutions to the following inequalities. a. x − 15 < 20 b. x + 3 ≤ 15 c. −x &
1 answer:
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The image showing the dimensions is missing, so i have attached it.
Answer:
A = 156 square feet
Step-by-step explanation:
To find how much plywood Jesse will need to cover all the surface simply means we are to find the surface area.
The surface area of the triangular prism is given by;
A = (2 * (Area of the base)) + (Perimeter of base x height)
Now, area of the base=bh/2
b = 3 ft
h = 4 ft
area of the base = 3*4/2 = 6 ft²
perimeter of the base = L + b + h = 4 + 3 + 5 = 12 ft
height of the prism;h = 12 ft
Thus;
surface area of the triangular prism;
A = (2 * 6) + (12*12)
A = 12 + 144
A = 156 ft²
Answer:
No, there is not enough evidence at the 0.02 level to support the manager's claim.
Step-by-step explanation:
We are given that the company's promotional literature states that 68% of the chips fail in the first 1000 hours of their use. Also, a sample of 900 computer chips revealed that 66% of the chips fail in the first 1000 hours of their use.
And the quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage, i.e;
Null Hypothesis, : p = 0.68 {means that the actual percentage that fail is same as the stated percentage}
Alternate Hypothesis, : p 0.68 {means that the actual percentage that fail is different from the stated percentage}
The test statistics we will use here is;
T.S. = ~ N(0,1)
where, p = actual percentage of chip fail = 0.68
= percentage of chip failed in a sample of 900 chips = 0.66
n = sample size = 900
So, Test statistics =
= -1.267
Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have sufficient evidence to accept null hypothesis.
Therefore, we conclude that the actual percentage that fail is same as the stated percentage and the manager's claim is not supported.
Answer:
The hypotenuse is 25 inches.
Step-by-step explanation:
This is a right triangle, so the Pythagorean Theorem applies.
I will assume you know about the Pythagorean Theorem, therefore I will not define it.
Here, I am solving for the hypotenuse.