Answer:
4.66
Step-by-step explanation:
We are given the following data
26, 26, 21, 22, 20, 25, 35
Step 1
We find the Mean
Mean = 26+ 26+ 21+ 22+20+25+ 35/7
= 175/7
= 25
Step 2
We find the Standard Deviation
The formula for Standard deviation that we would use is the Population Standard deviation, this is because the data given above is the data of the number of pounds of trash collected by each teenager
= √(x - Mean)²/n
= √(26 - 25)²+( 26 - 25)²+ (21 - 25)²+ (22 - 25)² +(20 - 25)²+(25 - 25)²+ (35 - 25)²/7
= √152/7
= √21.7142857
= 4.65985898
Approximately = 4.66
Answer:
0.80
Step-by-step explanation:
The z-score is found from the formula ...
Z = (X -μ)/σ
Z = (77 -73)/5 = 4/5 = 0.80
Jennifer's Z-score was 0.80.
40% off means you are paying 60% of the original price ( 100% - 40% = 60%
Multiply the price of the coat by 60%:
65.00 x 0.60 = 39.00 ( sale price)
Now multiply the sale price by 1.05 ( price of coat plus tax rate) to get the final cost:
39.00 x 1.05 = 40.95
The final price is $40.95
We have that
![y=- x^{2} +36](https://tex.z-dn.net/?f=y%3D-%20x%5E%7B2%7D%20%2B36)
we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum
step 1
convert the equation of the parabola in the vertex form
![y=- x^{2} +36 \\ y-36=- x^{2}](https://tex.z-dn.net/?f=y%3D-%20x%5E%7B2%7D%20%2B36%20%5C%5C%20y-36%3D-%20x%5E%7B2%7D%20)
the vertex (h,k) is the point (0,36)
Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)
Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0
![- x^{2} +36=0 \\ x^{2} =36 \\ x= (+/-) 6](https://tex.z-dn.net/?f=-%20x%5E%7B2%7D%20%2B36%3D0%20%5C%5C%20x%5E%7B2%7D%20%3D36%20%5C%5C%20x%3D%20%28%2B%2F-%29%206)
the points are (-6,0) and (6,0)
see the attached figure
Spain = 140
Italy = 40
France = 60
U.S.A = 120
total = 18,000,000
Spain : 140/360 = 39%.....0.39(18,000,000) = 7,020,000
Italy : 40/360 = 11%....0.11(18,000,000) = 1,980,000
France : 60/360 = 17%....0.17(18,000,000) = 3,060,000
U.S.A : 120/360 = 33%...0.33(18,000,000) = 5,940,000