Answer:
$89 hope it helps.
Step-by-step explanation:
The z score for a confidence level of 99% is 2.575.. You need to know this to complete this type of problem.. the other two commonly used confidence levels are 90% and 95% having z scores of 1.645 and 1.96 respectively. You need to memorize this!
To find the confidence interval, it will be defined as the sample mean plus/minus the margin of error.. Now to find the margin of error, divide the standard deviation of 12 by the square root of the number of elements in your sample(√250). Then take that result and multiply it by the Z score I mentioned above for a 99% confidence level.
In this case: the sample mean is 70 and the margin of error is approximately 1.95
So to calculate the confidence interval, do the following:
70 - 1.95 = 68.05 rounded to the nearest whole number is 68
70 + 1.95 = 71.95 rounded to the nearest whole number is 72
Looks like that would be the last choice. hope this helps.. it's been awhile since my work with statistics :-)
15y - 9 < 36
15y < 36 + 9
15y < 45
y < 45 ÷ 15
y < 3
Answer:
The temperature at 1,000 feet will be 56.4ºF; at 2,000 feet it will be 52.8ºF; and at 3,000 feet it will be 49.2ºF.
Step-by-step explanation:
Given that W. Altus is climbing 3,000 feet to the top of a mountain, starting at a temperature of 60ºF, which decreases 3.6ºF every 1,000 feet of elevation, to determine the temperature every 1,000 feet of elevation, the following calculations must be performed:
0 feet = 60ºF
1,000 feet = 60ºF - 3.6ºF = 56.4ºF
2,000 feet = 56.4ºF - 3.6ºF = 52.8ºF
3,000 feet = 52.8ºF - 3.6ºF = 49.2ºF
Thus, the temperature at 1,000 feet will be 56.4ºF; at 2,000 feet it will be 52.8ºF; and at 3,000 feet it will be 49.2ºF.
If there is a really short way of doing this, I don't see it. The only way I know to do it is to find the third angle of both triangles.
So for F the third angle for each of the pairs is
left side: 180 - (51 + 30) = 180 - 81 = 99
right side: 180 - (109 + 30) = 180 - 139 = 41
This is not the answer.
G
180 - (92 + 70) = 180 - 162 = 18
180 - (28 + 70) = 180 - 98 = 82
This is not the answer either.
H
180- (58 + 30) = 180 - (88) = 92
180 - (90 + 58) = 180 - 148 = 32
Not at all.
180 - (35 + 82) = 180 - 117 = 63
180 - (82 + 63) = 180 - 145 = 35
This pair has a third angle that is equal to the other triangle's pair. This is your answer.
