Answer: The ratio of the volumes of two pyramids is 27 : 1331.
Step-by-step explanation: Given that two two pyramids are similar and the ratio between the length of their edges is 3 : 11.
We are to find the ratio of the volumes of two pyramids.
Let a units and b units be the lengths of the edges of the two pyramids.
The, according to the given information, we have
We know that the ratio of the volumes of two similar pyramids is equal to the ratio of the cubes of the lengths of edges of the two pyramids.
Therefore, the ratio of the volumes of two pyramids will be
Thus, the ratio of the volumes of two pyramids is 27 : 1331.
Answer:
<h2>x = 7</h2>Step-by-step explanation:
To find the value of the value of x when
y = 14 we must first find the relationship between them
The statement
The value of y varies directly with x is written as
where k is the constant of proportionality
when x = 218
y = 436
So we have
436 = 218k
Divide both sides by 218
k = 2
So the formula for the variation is
<h2>y = 2x</h2>when y = 14
We have
14 = 2x
Divide both sides by 2
<h3>x = 7</h3>Hope this helps you.
Answer:
Null hypothesis:
Alternative hypothesis:
A type of error II for this case would be FAIL to reject the null hypothesis that the population proportion is equal to 0.0147 when actually the alternative hypothesis is true (the true proportion is different from 0.0147).
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Type I error, also known as a “false positive” is the error of rejecting a null hypothesis when it is actually true. Can be interpreted as the error of no reject an alternative hypothesis when the results can be attributed not to the reality.
Type II error, also known as a "false negative" is the error of not rejecting a null hypothesis when the alternative hypothesis is the true. Can be interpreted as the error of failing to accept an alternative hypothesis when we don't have enough statistical power.
Solution to the problem
On this case we want to test if the proportion of children diagnosed with Autism Spectrum Disorder (ASD) is different from 0.0147, so the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
A type of error II for this case would be FAIL to reject the null hypothesis that the population proportion is equal to 0.0147 when actually the alternative hypothesis is true (the true proportion is different from 0.0147).