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2 years ago

Emily bought 51 yards of fabric to make curtains,

Mathematics

2 answers:

Ivan2 years ago

7 0

Answer:

Emily bought 1,836 inches of fabric.

Step-by-step explanation:

To figure this out we need the conversion factor of 1 yard = 36 inches.

So this will allow us to do simple multiplication which would look like this - 36 × 51.

When multiplied it ends up as 1,836 inches.

OLga [1]2 years ago

3 0

51 x3 is 153 is 153 x 12 is 22032

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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

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2 years ago

Find tan(β) in the triangle.

BabaBlast [244]

Answer:

tan β = $\frac{8}{15}$

Step-by-step explanation:

tan β = $\frac{opposite}{adjacent}$ = $\frac{AC}{BC }$ = $\frac{8}{15}$

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3 years ago

A pound of swiss cheese costs $4.00 at the grocery store. Use the

amm1812

Answer:

..2330

Step-by-step explanation:

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3 years ago

What is the value of the expression 2 to the power of 2 + 8 to the power of 2 ÷ 2 to the power of 2?

Naily [24]

That's (4+64)/ 4. 68/4= 17

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3 years ago

3/11 de una caja contiene 18 galletas, cuantas galletas contiene una caja?

Fynjy0 [20]

Answer:

66 galletas

Step-by-step explanation:

Si 3/11 de una caja contiene 18 galletas entonces matematicamente significa que:

$\frac{3}{11}g=18$

Donde g son las galletas, ahora vamos a aislar la variable g:

$\frac{3}{11}g=18\\\\(\frac{11}{3}) \frac{3}{11} g=18 (\frac{11}{3})\\\\g= \frac{198}{3}=66$

Entonces una caja contiene 66 galletas

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2 years ago