Square A is a scaled version of square B. The dimensions of square A are three times the dimensions of square B. The area of squ
1 answer:
Answer:
The side of square A is 30 cm.
Step-by-step explanation:
Given that,
The dimensions of square A are three times the dimensions of square B.
The area of square A is 900 sq cm.
Side of square A = 3( side of square B)
Let the side of square B is b. So,
Side of square A, a = 3b
We know that, the area of square is side². So,
Side of square A, a = 3(10) = 30 cm
Hence, the side of square A is 30 cm.
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Answer:
This data suggest that there is more variability in low-dose weight gains than in control weight gains.
Step-by-step explanation:
Let be the variance for the population of weight gains for rats given a low dose, and
the variance for the population of weight gains for control rats whose diet did not include the insecticide.
We want to test vs
. We have that the sample standard deviation for
female control rats was
g and for
female low-dose rats was
g. So, we have observed the value
which comes from a F distribution with
degrees of freedom (numerator) and
degrees of freedom (denominator).
As we want carry out a test of hypothesis at the significance level of 0.05, we should find the 95th quantile of the F distribution with 17 and 21 degrees of freedom, this value is 2.1389. The rejection region is given by {F > 2.1389}, because the observed value is 3.3176 > 2.1389, we reject the null hypothesis. So, this data suggest that there is more variability in low-dose weight gains than in control weight gains.