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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:

You might be interested in
A. 5x - 2 = 8<br>b. 4x - 3= 2x + 9<br>C. 6x + 3 = 2x + 8​
Elena L [17]

Answer:

a) x=2

b)x=12

c)x=5/4

Step-by-step explanation:

a)5x-2=8

5x=8+2

5x=10

x=2

b)4x-3=2x+9

4x-2x=9+3

2x=12

x=6

c)6x+3=2x+8

6x-2x=8-3

4x=5

x=5/4

Proof:

a)5x-2=8

5(2)-2=8

10-2=8

8=8

b)4x-3=2x+9

4(12)-3=2(12)+9

48-3=24+9

45=45

c)6x+3=2x+8

6(5/4)+3=2(5/4)+8

30/4+3=10/4+8

15/2+3=5/2+8

10.5=10.5

Hope this helps ;) ❤❤❤

4 0
3 years ago
A trader purchased an article for 250 naira. At what price must he sell to make a profit of 20%?​
Misha Larkins [42]

Answer:

300

Step-by-step explanation:

10% of 250 is 25. so 20% is 50

250 + 50 = 300

3 0
3 years ago
Plz Help NO LINKS NO LINKS
Ann [662]

Answer:

The second one is correct.

6 0
2 years ago
How to round to nearest hundredth
loris [4]

Answer:

just look at the decimal after the decimal number is the tenths place the hundreds place and so on if i have to round 567.1092 i would round the nine up to make the zero a one so my rounded answer would be 567.11

Step-by-step explanation:

4 0
2 years ago
Is 1/5 less than 5/8
iren [92.7K]
1/5 is less then 5/8
3 0
3 years ago
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