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3 years ago

Which description best describes the solution to the following system of equations?

Mathematics

1 answer:

Lunna [17]3 years ago

8 0

Answer:

typing this answer to get points hope u get ur answer soon :)

Step-by-step explanation:

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Results of a survey conducted in 15 large cities within the U.S. finds that the average commute time one way to/from work is 25.

irina1246 [14]

Answer:

We conclude that commute time in her city is less than the amount reported by the survey which is 25.4 minutes.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 25.4 minutes

Sample mean, $\bar{x}$ = 22.1 minutes

Sample size, n = 15

Alpha, α = 0.10

Sample standard deviation, s = 5.3 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 25.4\text{ minutes}\\H_A: \mu < 25.4\text{ minutes}$

We use one-tailed t(left) test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{22.1 - 25.4}{\frac{5.3}{\sqrt{15}} } = -2.411$

Now, $t_{critical} \text{ at 0.10 level of significance, 14 degree of freedom } = -1.345$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there is enough evidence to conclude that commute time in her city is less than the amount reported by the survey which is 25.4 minutes.

7 0

4 years ago

3. How much time does it take for a bird flying at a speed of 45 kilometers per hour to travel a

Lostsunrise [7]

It will take 20 hours

3 0

3 years ago

Make x the subject of the formula a(x+b)=c<br>pls help meeeee

velikii [3]

Answer: c(a+ab)=x

Step-by-step explanation:

a(x+b)=c distribute the (a)

ax+ab=c now divide by ax by x

a+ab=c/x now multiply by c

c(a+ab)=x

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4 years ago

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Write a description of -5a + 3 > 1 inequality

Andrej [43]

The sum of -5a and 3 is greater than 1

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2 years ago

Two complementary angle are in the ratio of 2:3 . find the angles

Sindrei [870]

Answer:

Two complementary angles are in the ratio of 2:3, find the measure of the complementary angle. 2+3=5 90/5=18.

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3 years ago

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