Answer:
liam
Step-by-step explanation:
We have, 25% × x = 150
or,
25
100
× x = 150
Multiplying both sides by 100 and dividing both sides by 25,
we have x = 150 ×
100
25
x = 600
If you are using a calculator, simply enter 150×100÷25, which will give you the answer.
Answer:
Yes
Step-by-step explanation:
First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.
It has mean μ= np = 30×0.56=16.8
standard deviation s = √npq
sqrt(30×0.56×(1-0.56)) = 2.71
So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.
For this problem, if we used b to represent your base angle measurement, you would add 8b+2b and set it equal to 180. This is because the measure of the vertex angle is 8 times the base angle measurement, so we had to multiply b by 8. We also had to add it to the other angle measures, so the other angle measures are represented as 2b since they are the same length. We then have to set this equal to 180 since that measures of a triangle must add up to 180. Then we combine like terms on our “b” side to get 10b=180. Then we divide both sides by 10 and we get b=18, which is the measure of our base angle.
