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Masteriza [31]
3 years ago
9

Brian, a landscape architect, submitted a bid on each of three home landscaping projects. He estimates that the probabilities of

winning the bid on Project A, Project B, and Project C are 0.8, 0.5, and 0.2, respectively. Assume that the probability of winning a bid on one of the three projects is independent of winning or losing the bids on the other two projects. Find the probability that Brian will experience the following. (a) Win all three of the bids (b) Win exactly two of the bids
Mathematics
1 answer:
lesantik [10]3 years ago
5 0

Answer:

a:  0.08, or 8% chance he wins all 3

b:  0.42, or 42% chance he wins 2

Step-by-step explanation:

P(win A) = 0.8

P(lose A) = 0.2

P(win B) = 0.5

P(lose B) = 0.5

P(win C) = 0.2

P(lose C) = 0.8

The situations are independent, so we multiply probabilities together.

To win all 3:  P(win A)*P(win B)*P(win C) = 0.8*0.5*.02 = 0.08

To win 2 of the 3 there are 3 ways to do this.  We add up the probabilities of the 3 situations...

P(win A)*P(win B)*(lose C) = 0.8*0.5*0.8 = 0.32

P(win A)*P(lose B)*P(win C) = 0.8*0.5*0.2 = 0.08

P(lose A)*P(win B)*P(win C) = 0.2*0.5*.02 = 0.02

0.32 + 0.08 + 0.02 = 0.42

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At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are
vodka [1.7K]

Answer:

Yes, the cost y in dollars and the amount of yogurt x are proportional.

The equation is: y=0.08x


Step-by-step explanation:

1. If y varies directly as x, you can write it as following:

y=kx

Where k is the constant of proportionality.

2. Let's calculate the value of the constant of proportionality. If y=2.56 and x=32, you have:

y=kx\\k=\frac{y}{x}\\k=\frac{2.56}{32}\\k=0.08

3. Then, the equation is:

y=0.08x

4. Let's verify if they are directly proportional. Substitute x=6 which is the amount of yogurt bought by Jonah. The result must be $0,48:

y=0.08(6)\\y=0.48

5. They are directly proportional.

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4 years ago
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PLS HELP WILL GIVE BRAINLIEST AND POINTS!! How many variable terms are in the expression 3x^3y + 5x^2 + y + 9?
Ann [662]

Answer:

4 variables

Step-by-step explanation:

Hope you pass your test!

7 0
3 years ago
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3 years ago
Four couples at a dinner party play a board game after the meal. They decide to play as teams of two and to select the teams ran
Llana [10]

Answer:

0.29

Step-by-step explanation:

We are given that there are 4 couples i.e. 8 people

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So, Probability that person 1 will be teamed with someone other than the person he or she came to the party with = \frac{\text{No. of choices for Person 1}}{\text{Total no. of choices available}}=\frac{6}{7}

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Hence Probability that every person will be teamed with someone other than the person he or she came to the party with is 0.29

4 0
3 years ago
Consider the equation 56 = ____ 2^ The missing number is imbetween what two whole numbers?
STatiana [176]
To be able to answer this item, one simply needs to find the square root of 56. Using the calculator, the square root of 56 is approximately equal to 7.48. Thus, the answer to the item are 7 and 8. 

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4 years ago
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