Help me!!!!!!!!!!!!! 8/7 ( x - 100/220) + 4 ( x + 8/9) = 38
1 answer:
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Answer:
+120/169 or -120/169
Step-by-step explanation:
- let
where, alpha is some angle that satisfies the assumed condition.
- so,
[ taking cos to the other side or applying cos on both sides]
- now, substitute this in the given expression
as sin =
[by general trigonometry formula: ]
so if , we can get sin
from the above formula as + or - 12/13
(because, after taking square root on both sides we keep + or -]
- as, sin
[by general trigonometry formula]
- here, now
so, the final value can be 120/169 or -120/169.
The answers are:
- The perimeter of vegetable plot = 19m
- Area = 67.6m²
- Fencing = 32.5m
Given that:
The perimeter of vegetable plot:
= 4m + 3.5m + 4m + 2m + (3.5 + 2m)
= 19m
Area of vegetable plot:
(1.3 x 5.5) + ( (4 - 1.3) x 3.5)
rounding up to one decimal place = 67.6m²
To know the numbers of meter fence that one can buy, the equation will be:
(perimeter of vegetable plot + the left plot) - gates.
(19m + (6.5 + 4 + (6.5 - 2) ) )m - (2.5ft x 2)
= 19m + 15m - 1.5424m
=32.476
=32.5m
Therefore, the answers are:
- The perimeter of vegetable plot = 19m
- Area = 67.6m²
- Fencing = 32.5m
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Answer:
a) The standard error for this estimate of the percentage of all young Americans who earned a high school diploma is 0.87%.
b) The margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma is of 1.71%.
c) The 95% confidence interval for the percentage of all young Americans who earned a high school diploma is (85.29%, 88.71%).
d) The lower bound of the confidence interval is above 80%, which means that the confidence interval supports the claim that the percentage of young Americans who cam high school diplomas has increased.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
Standard error:
The standard error is:
Margin of error:
The margin of error is:
The confidence interval is:
Sample proportion plus/minus margin of error. So
In a simple random sample of 1500 young Americans 1305 had earned a high school diploma.
This means that
a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma?
0.0087*100% = 0.87%.
The standard error for this estimate of the percentage of all young Americans who earned a high school diploma is 0.87%.
b. Find the margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma.
95% confidence level
So , z is the value of Z that has a p-value of
, so
.
Then
0.0171*100% = 1.71%
The margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma is of 1.71%.
c. Report the 95% confidence interval for the percentage of all young Americans who earned a high school diploma.
87% - 1.71% = 85.29%
87% + 1.71% = 88.71%.
The 95% confidence interval for the percentage of all young Americans who earned a high school diploma is (85.29%, 88.71%).
d. Suppose that in the past, 80% of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who cam high school diplomas has increased? Explain.
The lower bound of the confidence interval is above 80%, which means that the confidence interval supports the claim that the percentage of young Americans who cam high school diplomas has increased.