Answer: 13300
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Work Shown:
A = event that it rains
B = event that it does not rain
P(A) = 0.30
P(B) = 1-P(A) = 1-0.30 = 0.70
Multiply the attendance figures with their corresponding probabilities
- if it rains, then 7000*P(A) = 7000*0.30 = 2100
- if it doesn't rain, then 16000*P(B) = 16000*0.70 = 11200
Add up the results: 2100+11200 = 13300
This is the expected value. This is basically the average based on the probabilities. The average is more tilted toward the higher end of the spectrum (closer to 16000 than it is to 7000) because there is a higher chance that it does not rain.
70 bottles will hold 16 ounces amount same as 56 bottles hold 20 ounces.
Step-by-step explanation:
Given,
56 bottles hold 20 ounces each.
Total amount 56 bottles hold= 56x20
Total amount hold by 56 bottles= 1120 ounces
Let the number of 16 ounces bottles be = x
Total amount hold by x bottles = 16x
According to the given statement both amounts are same;
![16x=1120\\Dividing\ both\ sides\ by\ 16\\\frac{16x}{16} = \frac{1120}{16} \\x=70](https://tex.z-dn.net/?f=16x%3D1120%5C%5CDividing%5C%20both%5C%20sides%5C%20by%5C%2016%5C%5C%5Cfrac%7B16x%7D%7B16%7D%20%3D%20%5Cfrac%7B1120%7D%7B16%7D%20%5C%5Cx%3D70)
70 bottles will hold 16 ounces amount same as 56 bottles hold 20 ounces.
Keywords: Division, Multiplication
Learn more about division at:
#LearnwithBrainly
Answer:
<u>height</u><u>,</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>2</u><u>3</u><u>5</u><u> </u><u>ft</u>
Step-by-step explanation:
From trigonometric ratios:
![\cos( \theta) = \frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%20%5Ccos%28%20%5Ctheta%29%20%20%3D%20%20%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20)
but:
![\theta = 90 \degree - 36 \degree \\ \theta = 54 \degree](https://tex.z-dn.net/?f=%20%5Ctheta%20%3D%2090%20%5Cdegree%20-%2036%20%5Cdegree%20%5C%5C%20%20%5Ctheta%20%3D%2054%20%5Cdegree)
adjacent is x
hypotenuse is 400 ft
![\ \cos ( 54 \degree) = \frac{x}{400} \\ \\ x = 400 \ \cos (54 \degree) \\ x = 235 \: \: feet](https://tex.z-dn.net/?f=%20%5C%20%5Ccos%20%28%2054%20%5Cdegree%29%20%20%3D%20%20%5Cfrac%7Bx%7D%7B400%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20400%20%5C%20%5Ccos%20%2854%20%5Cdegree%29%20%20%5C%5C%20x%20%3D%20235%20%5C%3A%20%5C%3A%20%20feet)
Answer:
inequality 3n+5>9+n, subtract 5 from both sides to get 3n>4+n, now subtract n from both sides to get 2n>4 and divide both sides by 2 to get n>2 :)
Step-by-step explanation:
Answer:
D) graph D
Step-by-step explanation:
x² < 4
x <
which means x < 2 and x > -2