Answer:
Sam has the more convincing victory with a greater Zscore value
Step-by-step explanation:
Given that :
Year 1:
Mean finish time (m) = 185.64
Standard deviation (s) = 0.314
Sam's time (x1) = 185.29
Year 2:
Mean finish time (m) = 110.3
Standard deviation (s) = 0.129
Rita's time (x1) = 110.02
Zscore = (x - mean) / standard deviation
Sam's Zscore :
(185.29 - 185.64) / 0.314
= - 0.35 / 0.314
= −1.114649
= - 1.115
Rita's Zscore :
(110.02 - 110.3) / 0.129
= - 0.28 / 0.129
= −2.170542
= - 2.171
Sam has the more convincing victory with a greater Zscore value
Answer: 195
Step-by-step explanation:
Cost per student = $4
Total number who attended = n
The cost of the total of student who attended will be cost per student multiplied by the total number of students, that is
Total cos = 4n
Since, they are to pay $140 , for publicity, then the total cost becomes
T = 4n - 140
From the last statement
4n - 140 ≥ 640
4n ≥ 640 + 140
4n ≥780
n ≥ 780/4
n ≥ 195
That means at least 195 students must attend if the science club is to earn at least $ 640
3rd one
Reason:
Point slope formula: y-y1=m(x-x1)
y1=-4
x1=1
m=1/2
Put it all together and you get a final answer of:
y-(-4)=1/2(x-1)
two negatives make one positive
so,
final answer:y+4=1/2(x-1)
Answer:
30 pounds of hard candy and 30 pouonds of soft candy
Step-by-step explanation:
$2 per pound added with $4 per pound would become $3 per pound
x pounds plus 60 - x pounds will add up to 60 pounds
(multiply the top with the bottom)
2x + 4x = 3(60)
6x = 180
x = 30
60 - 30 = 30
Answer:
79,213,229 ft3
Step-by-step explanation:
The volume of a pyramid is given by the following formula:
Volume = (1/3) * B * h
Where B is the base area and h is the height.
The side of the base is 754 feet, so the base area is:
B = 754^2 = 568516 ft2
Then, the volume of the pyramid is:
Volume = (1/3) * 568516 * 418 = 79213229.33 ft3
Rounding to the nearest cubic foot, we have:
Volume = 79,213,229 ft3
