Alguien sabes que es plastificar?

Mathematics

1 answer:

navik [9.2K]3 years ago

5 0

Significa cubrir una cosa con una capa delgada de material plástico.

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One fifth of r is 45

Annette [7]

$\frac{1}{5}r=45 \\ \\ r=45*5= 225$

<span>Just multiply both sides by 5</span>

4 0

4 years ago

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A genetic experiment involving peas yielded one sample of offspring consisting of 409 green peas and 171 yellow peas. Use a 0.05

grigory [225]

The usual expectation for this kind of experiment is that the peas would yield green and yellow peas in a 3:1 ratio, or 75% green to 25% yellow. So your null hypothesis is that the proportion of yellow peas is $p=0.25$ .

You're testing the claim that 26% of the offspring will be yellow, which means the alternative hypothesis is that the proportion of yellow peas is actually 0.26, or more generally that the expected proportion is greater than 0.25, or $p>0.25$ .

The test statistic in this case will be

$Z=\dfrac{\hat p-p_0}{\sqrt{\dfrac{p_0(1-p_0)}n}}$

where $p_0$ is the proportion assumed under the null hypothesis, $\hat p$ is the measured proportion, and $n$ is the sample size. You have $p_0=0.25$ , $\hat p=\dfrac{171}{171+409}\approx0.29$ , and $n=409+171=580$ , so the test statistic is

$Z=\dfrac{0.29-0.25}{\sqrt{\dfrac{0.25\times0.75}{580}}}\approx2.2247$

Because you're testing $p>p_0$ , this is a right-tailed test, so the P-value is

$\mathbb P(Z>2.2247)\approx0.0131$

The critical value for a right-tail test at a 0.05 significance level is $Z_\alpha\approx1.6449$ , which means the rejection region is any test statistic that is larger than this critical value. Since $Z>Z_\alpha$ in this case, we reject the null hypothesis.

So the conclusion for this test is that the sample proportion is indeed statistically significantly different from the proportion suggested by the null hypothesis.

8 0

3 years ago

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Calculate the area of the regular pentagon below: A regular pentagon with side length of 11.8 inches and dotted line from center

vlada-n [284]

Answer:

Area of regular pentagon is 238.95 square inches.

Step-by-step explanation:

Given a regular pentagon with side length of 11.8 inches and dotted line from center to middle of side of 8.1 inches.

we know a regular polygon divides into 5 congruent triangles.

Side of pentagon i.e base of one triangle is 11.8 inches.

Also, distance from center to middle of side which is height of triangle is 8.1 inches.