i can only help you with the volume of #5.
So the volume of a cylinder is = πr²h.
First , put the numbers in the equation.
π(6)² (14)
Next you solve.
π(6)²(14) = 36 (14) π = 504π
V= 504π
Answer:
Step-by-step explanation:
As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.
However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.
Hope this helped!
Answer:
(1/3 - 5/6) / 5/6
You want to make 1/3 and 5/6 have the same denominator so you multiply both the numerator and denominator of 1/3 by 2 to get 2/6. You plug that back into your equation to get: (2/6 - 5/6) / 5/6. 2/6 - 5/6 is -3/6. -3/6 divided by 5/6 is -3/6 multiplied by 6/5 which is -3/5.
Answer:
Here we can see they are vertically opposite angles so x = 35°
Answer:
If the p-value is less than a given significance level, you reject the null hypothesis and accept the alternative hypothesis.
Step-by-step explanation:
Suppose you have a business in which you'd like to make a change to increase your business. After making the change, you can use a significance test it. To conduct a significance test, you make a null hypothesis which states essentially that no effect happened. You also make an alternative hypothesis that states the change had an effect. You then test the two to see which one stands. In a significance test, using the p-value from your sample you compare it to the null and alternative hypotheses. You make a conclusion when:
- If the p-value is less than a given significance level, you reject the null hypothesis and accept the alternative hypothesis since the evidence is in favor of it.
If the p-value is greater than the significance level, then you fail to reject the null hypothesis and cannot conclude. There isn't evidence in favor of the alternative hypothesis.
