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maw [93]
3 years ago
13

Trees planted by a landscaping firm have a 90% one-year survival rate, If they plant 16 trees in a park, what is the following p

robabilities:
(a) All the trees survive one year.
(b) At least 14 trees survive one year.
Mathematics
1 answer:
irina1246 [14]3 years ago
6 0

Answer:

Pr(all will survive in one year) = 0.35 to 2 decimal places

Pr(at least 8 will survive) = 0.39 to 2 decimal places.

Step-by-step explanation:

Probability of a tree surviving one year is 0.9. While not surviving probability is 1 - 0.9 = 0.1

This is obtained from the 90℅ surviving rate for one year planted by the landscaping firm.

Probability that if 10 trees are planted, all will survive for one year is:

0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9 = 0.9^10 = 0.349

Probability that at least 8 will survive in one year can be expressed as

8 survived x 2 not survived +(or) 9 survived x 1 not survived +(or) 10 survived

= [(0.9^8)x(0.1^2) + (0.9^9)x(0.1^1) + (0.9^10)] = 0.391

Step-by-step explanation:

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Ganezh [65]

(8+x)^3 < 0

take the cube root

8+x <0

subtract 8

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Answer x<-8

6 0
3 years ago
Sarah's restaurant bill came to us18.80 she usually leaves a 15%tip.how much tip did she leave​
Zarrin [17]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
andrey2020 [161]
Formula of the slope of a linear function:


m = (y₂ - y₁)/(x₂ - x₁)

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7 0
3 years ago
The. sum of two consecutive. integers. is 17
coldgirl [10]
X+(x+1)=17
So 2x+1=17
Which means 2x=16
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6 0
3 years ago
Suppose you own two stocks, A and B. In year 1, stock A earns a 2% return and stock B earns a 9% return. In year 2, stock A earn
Verizon [17]

Answer:

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Step-by-step explanation:

In year 1 the return earned by stocks A and B are:

Stock A = 2% return

Stock B = 9% return

In year 2 the return earned by stocks A and B are:

Stock A = 18% return

Stock B = 11% return

Compute the expected return for stock A as follows:

Expected\ return\ for\ A=\frac{2+18}{2}=10\%

Compute the expected return for stock B as follows:

Expected\ return\ for\ B=\frac{9+11}{2}=10\%

Thus, both the stock have the same expected return.

7 0
3 years ago
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