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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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jeka57 [31]

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Converse: If the light bulb was Yellow, then the cost was $3 = True

Contrapositive makes both statements negative and switches the order of the original statement.

So something like:  If the light bulb is not yellow, then the cost would not be $3 = False because two colors cost the $3.

Inverse makes both statements negative but keeps the same order.

Something like : If the light bulb did not cost$3 then the light bulb was not yellow = False because two colors cost the $3.

4 0
3 years ago
Read 2 more answers
Look at the following number sequence. 3, 7, 11, 15, . . . Based on the pattern, what are the next two terms?
viva [34]
So, if we look at the number pattern, we can see the numbers go up by 4.

The rule is Add 4.

So, to find the next two terms, we would add 4 to the last number shown, which is 15.

15 + 4 = 19

19 + 4 = 23

So, the next two terms are →19←
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Glad I could help, and good luck!

AnonymousGiantsFan
5 0
3 years ago
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In 1967, New Zealander Burt Munro set the world record for an Indian motorcycle, on the Bonneville Salt Flats in Utah, with a ma
bagirrra123 [75]

Answer:49 sec

Step-by-step explanation:

Given

Maximum speed to reach is 183.58 mi/h

Length of course is 5 mi

acceleration rate is defined by 60mi/h in 4 sec

therefore acceleration(a)=\frac{v-u}{t}

a=\frac{60\times 60\times 60}{4}

a=54\times 10^3 mi/h^2

To reach a speed of 183.58mi/h with an acceleration of 54\times 10^3 mi/h^2

Using equation of motion

v=u+at

183.58=0+(54\times 10^3)t

t=\frac{183.58}{54\times 10^3}

t=0.00339 hours

t=12.23 s reach maximum speed

To complete course it takes

s=ut+\frac{1}{2}at^2

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t=0.01360 hour

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7 0
4 years ago
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julia-pushkina [17]

Answer:

Step-by-step explanation:

=7 (1+11+111+1111......n)

=7/9 (9+99+999+9999....n)

=7/9 ((10-1)+(10^2-1)+(10^3-1)+....n)

=7/9 ((10+10^2+10^3...n)-(1+1+1+1.....n))

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yanalaym [24]

Step-by-step explanation:

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r^2 = 400

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Diameter = 2 × r = 2 × 20 = 40 inches

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