Could someone explain this?

Mathematics

1 answer:

77julia77 [94]3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

The curve's highest value is -1.

The curve's lowest value is -5.

For a symmetrical wave like this*, the amplitude is half the difference between the highest and lowest values:

1/2(-1 -(-5)) = 2

The amplitude is 2.

_____

* There is no general agreement as to how to compute the amplitude when the wave is asymmetrical. Some authors use the same formula. Some consider the amplitude to be the maximum deviation from average. Some define only a "peak-to-peak" amplitude in those cases. The meaning of "amplitude" in those cases depends on the context in which the question is asked.

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What two forms can you write for 0.632

Dennis_Churaev [7]

0.632

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8 0

2 years ago

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

Read 2 more answers

The cost of a magazine is $x and the cost of a newspaper is $(x -3). The total cost of 6 magazines and 9 newspapers is $51. Writ

Contact [7]

See attachment for math work and set up. Use the substitution method to find x.