The term X is a variable that takes the place of any number. ... Similarly 2 multiplied by X results to X plus X which means a number added to itself since multiplication is a repeated addition. So 2X = 2 * X = X + X = 2X.
Since both of the acute angles have around or similar degrees, they will be the same. But even without that information we can see that each of the angles look the same. We already know that there are 360° in a circle, making 180° in a semi-circle. We can add 60+60 which will give us 120°. 360-120=240, which dividing that by 2 will give us 120, and if we were figuring out the other 2 would be 120° each.
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.