The first few steps in solving the quadratic equation 8x2 + 80x = −5 by completing the square are shown.
2 answers:
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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.
Answer:
<em>Thus, the values of x are 70° and 250°</em>
Step-by-step explanation:
<u>Trigonometric Functions</u>
The tangent is defined as:
Given a value for the tangent, there are two angles with the same tangent, one of them being and the other
+180°.
We are given:
The angle is the inverse tangent:
Using a scientific calculator, we find the first angle:
x=70°
The second angle is found adding 180°:
x=70°+180°=250°
Thus, the values of x are 70° and 250°