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professor190 [17]
3 years ago
6

FIND x : x+(x+1)+(x+2)=(x+1)^2 A. 1 B. 0 C. 3 D. 2

Mathematics
2 answers:
Over [174]3 years ago
6 0

Answer:

x = - 1, x = 2

Step-by-step explanation:

Given

x + (x + 1) + (x + 2) = (x + 1)² ← expand using FOIL , then

x + x + 1 + x + 2 = x² + 2x + 1 , that is

3x + 3 = x² + 2x + 1 ( subtract 3x + 3 from both sides )

0 = x² - x - 2 ← in standard form

0 = (x - 2)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 2 = 0 ⇒ x = 2

inysia [295]3 years ago
5 0

Answer:

2

Step-by-step explanation:

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Answer:

B. There is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time.

Step-by-step explanation:

We are given that using traditional methods it takes 107 hours to receive an advanced flying license.

A researcher believes the new technique may reduce training time and decides to perform a hypothesis test.

Let \mu = <u><em>average training time to receive an advanced flying license</em></u>

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Alternate Hypothesis, H_A : \mu < 107 hours     {means that the new technique may reduce training time}

Now, it is stated that after performing the test on 50 students, the researcher decides to reject the null hypothesis at a 0.10 level of significance.

As we know that if the test statistics value is rejected at a 10% level of significance, then it must not be rejected at the 0.02 level of significance.

This means that there is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time because our null hypothesis has not been rejected.

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Step-by-step explanation:

The complete question is:

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.

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