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3 years ago

Find the lenght of the third side of the right triangle

Mathematics

1 answer:

Semenov [28]3 years ago

5 0

Answer:

Step-by-step explanation:

using $a^2 = b^2 = c^2$ a= 6 c=10

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An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than

Sedbober [7]

Testing the hypothesis, it is found that:

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

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

The critical value is: $t_c = 1.74$

The decision rule is:

If t < 1.74, we do not reject the null hypothesis.
If t > 1.74, we reject the null hypothesis.

Since t = 1.41 < 1.74, we do not reject the null hypothesis, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.

Item a:

At the null hypothesis, it is tested if the mean loss is of at most 10 pounds, that is:

$H_0: \mu \leq 10$

At the alternative hypothesis, it is tested if the mean loss is of more than 10 pounds, that is:

$H_1: \mu > 10$

Item b:

We are having a right-tailed test, as we are testing if the mean is more than a value, with a significance level of 0.05 and 18 - 1 = 17 df.

Hence, using a calculator for the t-distribution, the critical value is: $t_c = 1.74$ .

Hence, the decision rule is:

If t < 1.74, we do not reject the null hypothesis.
If t > 1.74, we reject the null hypothesis.

Item c:

We have the standard deviation for the sample, hence the t-distribution is used. The test statistic is given by:

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

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
s is the standard deviation of the sample.
n is the sample size.

For this problem, we have that:

$\overline{x} = 10.8, \mu = 10, s = 2.4, n = 18$

Thus, the value of the test statistic is:

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

$t = \frac{10.8 - 10}{\frac{2.4}{\sqrt{18}}}$

$t = 1.41$

Since t = 1.41 < 1.74, we do not reject the null hypothesis, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.

A similar problem is given at brainly.com/question/25147864

3 0

3 years ago

How do you use the exchange rate to calculate the amount of ARS that is equal to 350 AUD

Anna11 [10]

Your answer would be 6678.02

7 0

3 years ago

Dani’s estimate for the cost of tiling her bathroom is $50 plus $3 per square foot. She says that she can model the cost with a

jarptica [38.1K]

She is correct.

She starts with 50
Each square foot adds 3 dollars...
so Square feet can be represented by x, and cost will be y... giving this linear function:

y=3x+50.

4 0

3 years ago

Hey guys help me with this question plzzzzzz

Ad libitum [116K]

Answer:

625 cm³ and 64000 cm³

Step-by-step explanation:

Given

x = $\sqrt[3]{V}$ ( cube both sides )

x³ = V

(a)

x = 25 cm , then

V = 25³ = 625 cm³

(b)

x = 40 cm , then

V = 40³ = 64 000 cm³

5 0

3 years ago

Which expression gives the distance between the points (-3,4 and (6,-2)

krok68 [10]

Answer:

10.8

Step-by-step explanation:

We can find the distance using the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We then substitute (-3,4) as $(x_1,y_1)$ and (6,-2) as $(x_2,y_2)$ .

$d=\sqrt{(6--3)^2+(-2-4)^2} \\d=\sqrt{(9)^2+(-6)^2} \\d=\sqrt{81+36}\\d=\sqrt{117}=10.8$

8 0

3 years ago