Answer:
320 cups of soup
Step-by-step explanation:
Given;
Total number of guests expected T = 800
Proportion of that may order soup p = 2 out of 5 = 2/5
The number of cups he should prepare should be equal to the number of guests that are expected to order soup appetizer.
Number of guests Expected to order soup appetizer n is;
n = proportion × total guest = p × T
Substituting the given values;
n = 2/5 × 800 = 320
Therefore, he should prepare 320 cups of soup.
Given:
maximum seating 76,867 fans
cost of tickets $161
revenue: f(x) = 161x
y = 161x
domain is the x values
range is the y values
using the formula: y = 161x where x = 76,867
y = 161(76,867)
y = 12,375,587
domain is 76,867
range is 12,375,587
Answer: $48
If she tipped $8.00 then the original bill was $40, and the total was $48
Total-107
Male teacher-n
Female teacher-n+23
N+n+23=107
2n+23=107
2n= 84
N=42
Male teacher-42
Female teacher-42+23=65
65/107 teacher are female
Answer:
0.430625=0.431
Step-by-step explanation:
Answer:
0.430625 = 0.431
Step-by-step explanation:
Let W represent winning, D represent a draw and L represent a loss.
12+ points can be garnered in each of the following ways.
6W 0D 0L
5W 1D 0L
5W 0D 1L
4W 2D 0L
4W 1D 1L
4W 0D 2L
3W 3D 0L
The probability of getting 12+ points is the sum of all these 7 probabilities.
Knowing that P(W) = 0.5
P(D) = 0.1
P(L) = 0.4
P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625
P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875
P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075
P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375
P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075
P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15
P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025
The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625
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