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3 years ago

Simplify: V24 x V12 a. 6 b. 212 c. 28 d. 122

Mathematics

2 answers:

kumpel [21]3 years ago

7 0

Answer:

16.97

Step-by-step explanation:

The answer of this simplify if 16.97

Elanso [62]3 years ago

3 0

Answer:

16.97 or approx 17

Step-by-step explanation:

$\sqrt{24}$ = $\sqrt{4}$ $\sqrt{6}$ = 2 $\sqrt{6}$

$\sqrt{12}$ = $\sqrt{4}$ $\sqrt{3}$ = 2 $\sqrt{3}$

2 $\sqrt{6}$ · 2 $\sqrt{3}$ = 4 $\sqrt{18}$ = 4 $\sqrt{9}$ $\sqrt{2}$ = 4·3 $\sqrt{2}$ = 12 $\sqrt{2}$ which is 16.97 or approx 17

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alisha [4.7K]

Answer:

The null hypothesis is $H_0: \mu \leq 10$

The alternative hypothesis is $H_1: \mu > 10$

b-1) The value of the test statistic is t = 1.86.

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Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

$H_0: \mu \leq 10$

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

$H_1: \mu > 10$

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

10 is tested at the null hypothesis:

This means that $\mu = 10$

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that $n = 45, X = 10.5, s = 1.8$