1.22. If 0 and b? A. b = 90° - a B. b = 90° + a C. b = 180° – a D. b = 180° + a
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Answer:
Yes, we have sufficient evidence at the 0.02 level to support the company's claim.
Step-by-step explanation:
We are given that a sample of 1500 computer chips revealed that 32% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that above 29% do not fail in the first 1000 hours of their use.
Let Null Hypothesis, : p
0.29 {means that less than or equal to 29% do not fail in the first 1000 hours of their use}
Alternate Hypothesis, : p > 0.29 {means that more than 29% do not fail in the first 1000 hours of their use}
The test statics that will be used here is One-sample proportions test;
T.S. = ~ N(0,1)
where, = proportion of chips that do not fail in the first 1000 hours of their use = 32%
n = sample of chips = 1500
So, <u>test statistics</u> =
= 2.491
<em>Now, at 0.02 level of significance the z table gives critical value of 2.054. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject null hypothesis as it fall in the rejection region.</em>
Therefore, we conclude that more than 29% do not fail in the first 1000 hours of their use which means we have sufficient evidence at the 0.02 level to support the company's claim.
The inverse function is f(x) = , which makes the inverse at x = 2 equal to 0.
All inverse functions can be found by switching the x and f(x) values. Once that is done, solve for the new f(x) value. The result will be the inverse of the original function. The step-by-step process is below.
f(x) = 3(x + 2) - 4 ----> Switch the x and f(x)
x = 3(f(x) + 2) - 4 ----> Add 4 to both sides
x + 4 = 3(f(x) + 2) ----> Divide both sides by 3
= f(x) + 2 ----> Subtract 2 from both sides.
f(x) =
The end is your inverse function. So then we can evaluate when x = 2.
f(x) =
f(2) =
f(2) =
f(2) =
f(2) = 0