Answer:
The 80% confidence interval for the mean
(4.6199 , 4.7801)
Step-by-step explanation:
<u>Explanation</u>:-
Assuming that the population standard deviation for the number of energy drinks consumed each week is 1
Given the Population standard deviation 'σ' = 1
The study found that for a sample of 256 teenagers the mean number of energy drinks consumed per week is 4.7
given sample size 'n' = 256
mean of the sample 'x⁻' = 4.7
<u>confidence interval for the mean</u>
The 80% confidence interval for the mean is determined by
the z-score of 80% level of significance = 1.282
(4.7 - 0.0801 , 4.7 +0.0801)
(4.6199 , 4.7801)
<u>Conclusion</u>:-
The 80% confidence interval for the mean
(4.6199 , 4.7801)
Answer:
(h,k)=(8,-8)
Step-by-step explanation:
From the given equivalent forms of the function g(x), we are to pick which form quickly reveals the vertex.
The vertex form of a parabola is given: 
, where (h, k) is the vertex of the parabola.
Therefore, Option A, quickly reveals the vertex.
From the above, h=8, k=-8. Therefore the vertex (h,k)=(8,-8)
Answer:
mean: 2.6, mode: 1, median: 1
Step-by-step explanation:
The mean is essentially the average of the data set which can be defined as: 
. So adding all the values together you get: 
. and counting all the numbers in the data set you find the data set has 10 numbers. This gives you the equation: 
which is the mean
To find the mode, you find which number occurs most frequently, this is of course 1, which can really be determined by just looking at the data set for a second. all the other numbers only occur once, while 1 is in the data set 5 times. So 5 is the mode
To find the median you sort the data, from min to max, and then find the middle number. Sorting the data set gives you. -2, 1, 1, 1, 1, 1, 4, 5, 6, 8. Since this data set has an even amount of numbers, there is not going to be an exact middle. If you go the "middle" which is the 5th and 6th number, you add these two numbers and divide the sum by 2. This gives you: (1+1)/2 = 1 So the median is 1
Ara=pir^2
plantingarea=gardenarea-birdbath
leave in terms of pi first
gardenradius=4
gardenarea=pi4^2=pi16=16pi
birdbathradius=1
birdbatharea=pi1^1=1pi=pi
plantingarea=garden-birdbath=16pi-pi=15pi
aproxpi=3.14
3.14*15=47.2 ft^2 for planting
The best to do this is like this:
5 hundred thousand would be 500,000
12 of 10,000 (should be 12,000)
1,000 tens is 10,000 plus 15 tens is 150 so this is 10,150
7 ones
522,157
