Answer:
a)
90% confidence interval for the mean grading time of all composition papers.
(12.47981 , 13.52019)
b)
Appropriate inequality
The interval is ( 12.47981 < μ < 13.52019)
Step-by-step explanation:
<u><em>Explanation</em></u>:-
a)
Given sample size 'n' = 40
Mean of the sample = 13 minutes
standard deviation = 2 min
level of significance = 0.10 or 90%
90% confidence interval for the mean grading time of all composition papers.
( 13 - 0.52019 , 13 + 0.52019)
(12.47981 , 13.52019)
b)
The interval is ( 12.47981 < μ < 13.52019)
Answer: 36 whole sausages by the end of the contest.
Step-by-step explanation:
We know that he ate 27 sausages in 11 minutes, then the rate at which he ates sausages is:
R = (27 sausages)/(11 minutes) = 2.45 sausage/min
So if he ate at this rate for 15 minutes, the total number of sausages eaten by the end is:
Total number = (2.45 sausage/min)*15min = 36.8 sausages
(where we are counting again the 27 sausages that he ate in the first 11 mins)
If we only count the number of whole sausages eaten, he ate 36 whole sausages.
Answer:
It's a mnemonic device to help you remember the three basic trig ratios used to solve for missing sides and angles in a right triangle. It's defined as: SOH: Sin(θ) = Opposite / Hypotenuse. CAH: Cos(θ) = Adjacent / Hypotenuse.
Mode is the most.
What number appears the most? 8. 8 appears twice.
Mean is the average.
Add up all the numbers. 5+8+16+14+2+18+8=71
Then divide by how many numbers there are. 71/7=10.1
Median is alway in-between.
If you set up a number line in order of least to greatest, what number is in the middle?
2,5,8,8,14,16,18
we can erase the numbers on each end to find the middle.
2,5,8,8,14,16,18
5,8,8,14,16
8,8,14,16
8,14
Uh oh! There are two numbers in the middle. In this case you find the average of these two numbers.
8+14= 22
22/2=11
The range is the highest number in your set of data minus the lowest number in your set of data.
So, 18-2=16
In conclusion...
Mode:8
Mean:10.1
Median:11
Range:16
<span>5x^2 + 9y^2 = 45
</span>÷45
<span>x^2/9 + y^2/5 = 1
</span>
<span>center=(0,0)
</span>
<span>vertices=(+a,0) and (-a,0)
=(3,0) and (-3,0)
a^2=b^2+c^2
c^2=9-5=4
c=2
</span><span>
foci = (+c,0) and (-c,0)
= (2,0) and (-2,0)
</span>
I hope that
helps!
