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Effectus [21]
3 years ago
9

Trees planted by a landscaping firm have a 90% one-year survival rate, If they plant 10 trees in a park, what is the following p

robabilities: 1. All the trees survive one year . At least 8 trees survive one year.
Mathematics
1 answer:
Mnenie [13.5K]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

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Teachers were asked what their favorite ice cream was. The ratio of teachers that prefer rocky road to mint is 5 to 2. If there
DerKrebs [107]

28 teachers prefer mint.

Step-by-step explanation:

Given,

Total number of teachers = 98

Ratio of teacher that prefer rocky road to mint = 5:2

Let,

x be the original number.

Teachers who like rocky road = 5x

Teachers who like mint = 2x

5x+2x=98\\7x=98

Dividing both sides by 7

\frac{7x}{7}=\frac{98}{7}\\x=14

Teachers who prefer mint = 2x = 2(14) = 28

28 teachers prefer mint.

Keywords: ratio, division

Learn more about division at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

6 0
3 years ago
If f(x) = 2x + 3 and g(x) = 3x - 9, find (f + g)(x).
coldgirl [10]

Answer:

5x-6

Step-by-step explanation:

f(x) = 2x + 3

g(x) = 3x - 9

f(x) + g(x) = 2x + 3  + 3x-9

               = 5x-6

5 0
3 years ago
The point (2, –4) is reflected across the line y = –1. What are the coordinates of the image?
schepotkina [342]

ANSWER

The coordinates of the image are (2,2)

EXPLANATION

The mapping for a reflection across the line y=k is :

(x,y)\to (x,2k-y)

We want to find the image of the point (2,-4) after a reflection in the line y=-1.

In this case k=-1.

(2, - 4)\to (2,2( - 1)- - 4)

This simplifies to,

(2, - 4)\to (2, - 2 + 4)

(2, - 4)\to (2, 2)

Hence the image is (2,2)

4 0
3 years ago
Perimeter of a triangle with side length of 13.9in,10.4,8.5in
AlladinOne [14]

Perimeter =a+b+c

13.9 + 10.4 + 8.5 =

32.8 in (perimeter)


6 0
2 years ago
Read 2 more answers
5 b.) Bill swims 2/3 of a lap in 7 minute.<br> What is his speed in laps per minute?
Arlecino [84]

Answer:

.095 laps per minute (if you need this answer as well 10.5 minutes per lap)

Step-by-step explanation:

(2/3)/7 =.095238 this is laps per min

7/(2/3)= 10.5 this is minutes per lap

I hope this is what you were looking for.

8 0
2 years ago
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