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3 years ago

Please help asap. thanks

Mathematics

2 answers:

Lilit [14]3 years ago

5 0

7^2+x^2 = 9^2
49+x^2=81
x^2=81-49
x^2=32
x=square root of 32

sergeinik [125]3 years ago

4 0

Answer:

4 $\sqrt{2}$

Step-by-step explanation:

use pythagoeron theorem

9^2-7^2=x^2

x^2=32

x=4 $\sqrt{2}$

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Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa

4vir4ik [10]

Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:

$H_0: \mu = 2.5$

At the alternative hypothesis, it is tested if it has increased, that is:

$H_1: \mu > 2.5$

We have the standard deviation for the population, thus, the z-distribution is used. 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: $\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26$

Hence, the value of the test statistic is:

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

$z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}$

$z = 1.7$

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of $z^{\ast} = 1.645$

Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

A similar problem is given at brainly.com/question/24166849

5 0

2 years ago

PLEASE HELP! We can translate ()=2|−2|−5 to the right 3 units and up 5 units to create (). Write the equation for function g.

alisha [4.7K]

Answer:

$g(x)=2\,|x-5|$

Step-by-step explanation:

Recall that a horizontal translation (shift) in 3 units to the right involves directly subtracting 3 from the variable x (horizontal axis variable) , and that moving the function up 5 units involves adding to the whole function 5 units. That is:

$g(x)=2\,|x-3-2|- 5+ 5\\g(x)=2\,|x-5|+0\\g(x)=2\,|x-5|$

5 0

3 years ago

Where to put this on the number line?

lawyer [7]

Answer:

Step-by-step explanation:

add 9 to both sides.
then divide by 1.5

so p > 8

number your number line: 2,4,6,8,10

draw a circle at 8 and the line to the right since p>8

8 0

2 years ago

Read 2 more answers

Subtract 2x 2 - 6x - 4 from 4x 2 - 4x + 3.

mafiozo [28]

X subtracted from y means y-x
(4x^2-4x+3)-(2x^2-6x-4)
4x^2-4x+3-2x^2+6x+4
4x^2-2x^2-4x+6x+3+4=
2x^2+2x+7

6 0

3 years ago

What is ✓ 48 in simplified form? 0 24 O 43 02/12 O V 48 can't be simplified.

nikitadnepr [17]

Answer:

3rd option

Step-by-step explanation:

square 4 times 12

square root of 4 is 2

so itt would be 2/12

3 0

3 years ago