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sergejj [24]
3 years ago
10

Seven times a number minus the number is -48.

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
7 0

Answer:

x = -8.

Step-by-step explanation:

If the number is x then:

7x - x = -48

6x =-48

x = -8.

DENIUS [597]3 years ago
5 0
Same as the other one :) if u thought my answers were helpful to you please mark me as brainliest :)

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Inductive reasoning has to do with coming to a certain prediction or a conclusion based on multiple true premises.
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A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is current
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Using the z-distribution, we have that:

a)

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b) Since the <u>test statistic is less than the critical value</u> for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is <u>tested if the mean is of 7.4 minutes</u>, that is:

H_0: \mu = 7.4

At the alternative hypothesis, it is <u>tested if the mean is lower than 7.4 minutes</u>, that is:

H_1: \mu < 7.4

We have the <u>standard deviation for the population</u>, hence, the z-distribution is used.

The test statistic is given by:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

The parameters are:

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  • \mu is the value tested at the null hypothesis.
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For this problem, the values of the <em>parameters </em>are: \overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36.

Hence, the value of the <em>test statistic</em> is:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

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z = -1.5

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a <u>left-tailed test</u>, as we are testing if the mean is less than a value, the critical value with a <u>significance level of 0.1</u> is of z^{\ast} = -1.28.

Item b:

Since the <u>test statistic is less than the critical value</u> for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at brainly.com/question/16313918

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