The new mean is 66.09
<u>Explanation:</u>
Mean weight of 20 students = 65kg
One student with 88kg entered the room.
New mean = ?
The above equation can further be written as:
New mean =
= 66.09
Therefore, the new mean is 66.09
You need to find the distance across a river, so you make a triangle. BC is 661 feet, m∠B=103.2° and m∠C=14.4°. Find AB.
1 answer:
Answer:
AB = 185.77 feet
Step-by-step explanation:
From the figure attached, in ΔABC,
m∠B = 103.2°, m∠C = 14.4° and side BC = 661 feet
We have to find the measure of side AB.
Since ∠A + ∠B + ∠C = 180°
∠A + 103.2 + 14.4 = 180
∠A + 117.6 = 180
∠A = 180 - 117.6
= 62.4°
By applying sine rule in the given triangle ABC
AB =
= 185.77 feet
Therefore, AB = 185.77 feet will be the answer.
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Answer:
And the best option would be:
C. [17.42,20.78]
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean
population mean (variable of interest)
s=1.5 represent the sample standard deviation
n=9 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.99 or 99%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that
Now we have everything in order to replace into formula (1):
And the best option would be:
C. [17.42,20.78]
Answer:
4 3/8 cups of flour needed for 60 cookies
Explanation:
You can multiply 24 by 2.5 to get 60 so you'd multiply the cups of flour by 2.5 as well. You multiply both of them by the same number because it's a ratio. You'd multiply then simplify to get the answer 4 3/8 cups of flour.
