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RideAnS [48]
3 years ago
5

26 points !!

Mathematics
1 answer:
kari74 [83]3 years ago
7 0

28.98
5.52
8.28
3.45
6.555
24.84

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If a seed is planted, it has a 90% chance of growing into a healthy plant. If 12 seeds are planted, what is the probability that
blondinia [14]

Answer:

0.2301 = 23.01% probability that exactly 2 don't grow.

Step-by-step explanation:

For each seed planted, there are only two possible outcomes. Either it grows into a healthy plant, or it does not. The probability of a seed growing into a healthy plant is independent of any other seed, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

90% chance of growing into a healthy plant.

This means that p = 0.9

12 seeds are planted

This means that n = 12

What is the probability that exactly 2 don't grow?

So 12 - 2 = 10 grow, which is P(X = 10). Then

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{12,10}.(0.9)^{10}.(0.1)^{2} = 0.2301

0.2301 = 23.01% probability that exactly 2 don't grow.

5 0
2 years ago
A certain number is increased by 5 the result is 8 more than half the number what is the number
sdas [7]

11 would be my best guess, kinda confusing question. I hope I helped!

8 0
3 years ago
The Area Ratio of two similar solids is 169: 289. If the volume of the smaller solid is 689,858 cm, what is the volume of the la
masha68 [24]

Answer:

1,542,682 cm^3.

Step-by-step explanation:

The scale factor = √169:√289

= 13:17

So the Volume ratio is 13^3:17^3

So the volume of the larger solid is  689,858 * (17^3/13^3)

= 1,542,682 cm^3.

5 0
3 years ago
Dana bikes 10 mi in 50 min.<br> <br> <br> <br> At this rate, how far can she bike in 90 min?
lara31 [8.8K]
The answer will be 18 miles
8 0
3 years ago
Read 2 more answers
Which answer describes the sequence {1,3,7,15,…} as a mathematical statement?
Ksivusya [100]

Answer:

so just successive powers of 2

Step-by-step explanation:

1, 3, 7, 15, 31, 63, _? Add successive powers of 2 to the number: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127.

7 0
2 years ago
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