Each student has 8/5 or 1.6 of the cake
Answer:
Step-by-step explanation:
Information given
represent the sample mean for the content of active ingredient
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean for the active agent is at least 20 mg, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be:
(1)
Now we can calculate the statistic:
P value
The degrees of freedom are calculated like this:
Since is a one left tailed test the p value would be:
We know that angle MKJ is comprised of angle MKL and angle LKJ. That means if we add MKL and LKJ, we should get 80 degrees, which is the measure of angle MKJ.

So, we know that our x is 15. That is not enough to tell whether KL is an angle bisector, because we have to evaluate both MKL and LKJ with x=15, so:

So we see that these two angles are actually bisectors, and the third question best describes this phenomenon.
Answer:
455 miles
Step-by-step explanation:
Distance = Speed x Time
X = 65 x 7
X= 455 miles
If you are going 65 miles PER hour, then to find the total distance traveled, you'd mutiply the amount of time you have with how fast you are going.
Answer:
150 is 100% of 150
Steps to solve "150 is 100 percent of what number?"
We have, 100% × x = 150
or,
100
100
× x = 150
Multiplying both sides by 100 and dividing both sides by 100,
we have x = 150 ×
100
100
x = 150
If you are using a calculator, simply enter 150×100÷100, which will give you the answer.