6. instead of multiplying by 4/3 it would be 2/3 because it is half a sphere.
9. you should have multiplied by pi first then multiply by 4/3 to make it more easy for you
Answer:
For this case we can find the critical value with the significance level 
and if we find in the right tail of the z distribution we got:
The statistic is given by:
(1)
Replacing we got:
Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27
Step-by-step explanation:
We have the following dataset given:
represent the households consisted of one person
represent the sample size
estimated proportion of households consisted of one person
We want to test the following hypothesis:
Null hypothesis: 
Alternative hypothesis: 
And for this case we can find the critical value with the significance level and if we find in the right tail of the z distribution we got:
The statistic is given by:
(1)
Replacing we got:
Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27
Answer:
Step-by-step explanation:
Given:
Option a:
Down payment, Da = $200
Monthly fee, Ma = $50
Option B:
Down payment, Db = $500
Monthly fee, Mb = $25
Monthly fee, M = payment, P/number of months, n
Total cost, Pc = down payment, D + payment, P
Equating both options we have:
500 + 25 × n = 200 + 50 × n
500 + 25n = 200 + 50 n
25n = 300
n = 300/25
= 12 months
At 12 months, both payment options will be the same.
Some examples of perpendicular lines are the Interstate how it runs side by side with a median in the middle the roads are perpendicular because a lot of them will cross one another in a sharp turn trust me I know, Some more are the studs in the walls of your house, the wheels on your truck, the frame rails on your go cart just look around you if the lines intersect at a right angle then there perpendicular.
The answer is at 10:30. If you draw a clock and start at 11:20 go back 50 times counting by 5 you will stop at 10:30
-Hope this helps!-
