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3 years ago

9 POWERED C = 243 (INDICES)

Mathematics

1 answer:

Alex17521 [72]3 years ago

4 0

9^c = 243

3^(c)*2 = 243

3^(c)*2 = 3^5

Since the bases are the same the powers can be equated.

2*c =5

c = 5/2

c = 2 1/2

Check

9^2.5 = 243

Use the ^ or y^x or x^y key

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3 years ago

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:

The hypothesis test is:

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$H_1: \mu < 7.4$

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Item a:

At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:

$H_0: \mu = 7.4$

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

$H_1: \mu < 7.4$

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The test statistic is given by:

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

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.

For this problem, the values of the parameters are: $\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36$ .

Hence, the value of the test statistic is:

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

$z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}$

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

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Item b:

Since the test statistic is less than the critical value 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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2 years ago

Please help me please!!!!!!!

Alex787 [66]

The answer is B) 60

Hopes this helps ya!

6 0

3 years ago

Pls ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR

natta225 [31]

Hi there!

$\large\boxed{ 9.4m}$

Find the perimeter using the formula:

P = 2l + 2w

It is given that the dimensions are 2.8 × 1.9 so plug these number into the equation:

P = 2(2.8) + 2(1.9)

P = 5.6 + 3.8

P = 9.4m

4 0

2 years ago