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2 years ago

8

Find the next term in the sequence. please type the number only as you answer. hint first figure out if the sequence is arithmet

ic or geometric
-3,9,-27,81,

1 answer:

ch4aika [34]2 years ago

8 0

Next term = -243
Because it is x3 every time

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Strike441 [17]

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2 years ago

What is the unit distance, Rounded to the nearest hundredth, between the points (-5, 2) and (3, 7)?

Lostsunrise [7]

Answer:

Distance=9.43 units

Step-by-step explanation:

When you have two coordinates and you need to find the distance between them, you can use the distance formula.

D=sqrt(7-2)^2+(3-(-5))^2

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D=sqrt(25+64)

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D=9.43, rounded to the nearest hundredth.

Therefore, your distance would be 9.43 units.

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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

lapo4ka [179]

Using the z-distribution, we have that:

a)

The hypothesis test is:

$H_0: \mu = 7.4$

$H_1: \mu < 7.4$

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The critical value is $z^{\ast} = -1.28$

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:

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

$H_1: \mu < 7.4$

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

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the sample.

n is the sample size.

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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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1 year ago

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