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3 years ago

What is the relationship between a triangle and a square? Not numbers OK!!!!!!! Please help me

1 answer:

4 0

Two congruent triangles make a square when you place their hypotenuses against each other/overlapping. The hypotenuse will be the square's diagonal.

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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

What is the domain of f?

larisa86 [58]

Answer:

$\huge \boxed{\mathrm{A}}$

Step-by-step explanation:

The domain of a function is all possible values for the value of x.

The denominator in a rational function cannot equal to 0.

$x+2\neq 0$

Subtracting 2 from both sides.

$x\neq -2$

The domain of the function is all real numbers except -2.

7 0

3 years ago

X^2 + 7x – 18 = 0 a {–2, 9} b {–9, 2} c {2, 9} d {–2, –9}

Sedaia [141]

Answer:

b)-9,2

Step-by-step explanation:

x^2+7x-18=0

x^2+9x-2x-18=0

x(x+9)-2(x+9)=0

(x+9)(x-2)=0

therefore

x=-9

x=2

6 0

3 years ago

The function Q(t)=Qoe^kt May be used to model radioactive decay. Q representing the quantity remaining after t years; k is the d

rewona [7]

Answer:

A. -[ln(0.5)/6,300]

Step-by-step explanation:

Done on apex, it is correct.

5 0

3 years ago

Read 2 more answers

Find the measure for angle f 46 34 122 58

xxMikexx [17]

Answer:

$\angle f = 122\degree$

Step-by-step explanation:

$\angle d = 58\degree$ (vertical angles)

$\angle f+\angle d= 180\degree$

(Interior angles on the same side of transversal)

$\angle f+ 58\degree = 180\degree$

$\angle f = 180\degree-58\degree$

$\huge \orange {\boxed {\angle f = 122\degree}}$

5 0

3 years ago