Which graph describes the open sentence –5 ≤ n – 2 ≤ 2?

Mathematics

2 answers:

Alik [6]3 years ago

8 0

This is (Hopefully)The correct answer -3≤n≤4

Pavlova-9 [17]3 years ago

6 0

The answer would be -3≤n≤4
You need to break it up into two problem
-5≤n-2
n-2≥-5 Switch sides
n-2+2≥+5+2
n≥-3

n-2≤2
n-2+2≤2+2
n≤4
-3≤n≤4

I hope this helps!!!!!!

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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 p

Grace [21]

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, $H_0$ : p $\leq$ 0.29 {means that less than or equal to 29% do not fail in the first 1000 hours of their use}

Alternate Hypothesis, $H_1$ : 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. = $\frac{\hat p -p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = 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> = $\frac{0.32-0.29}{\sqrt{\frac{0.32(1-0.32)}{1500} } }$

= 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.

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4 years ago

You run one lap around a mile track every8 minutes. Your friend runs around the same track every 10 minutes. You both start at t

lapo4ka [179]

Answer: look at the picture

Step-by-step explanation: