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Ghella [55]
3 years ago
10

Y = 9x + 14 y = 4x + 49

Mathematics
2 answers:
Gemiola [76]3 years ago
5 0

Answer:

x=7 y=77

Step-by-step explanation:

Subtract 4x from 9x you get 5x

subtract 14 from 49 you get 35

5x=35

9*7=63+14=77

4*7=28+49=77

ipn [44]3 years ago
3 0

Answer:

x = 7; y = 77

Step-by-step explanation:

y = 9x + 14

y = 4x + 49

Since both equations are solved for y, set the two right sides equal and solve for x.

9x + 14 = 4x + 49

5x = 35

x = 7

Sow substitute 7 for x in the first equation and solve for y.

y = 9x + 14

y = 9(7) + 14

y = 63 + 14

y = 77

Answer: x = 7; y = 77

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There is a 5.79% probability that at most 2 jelly beans are chosen.

Step-by-step explanation:

For each jelly bean chosen, there are only two possible outcomes. Either it is green, or it is not. This is why we use the binomial probability distribution to solve this problem.

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 combinatios 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.

In this problem we have that:

There are 13 jelly beans, so n = 13.

The probability that a green jelly bean is chosen at random from a large package of jelly beans is 2/5. This means that p = 0.4.

If Sally chooses 13 jelly beans, what is the probability that at most two will be green jelly beans?

This is

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2).

In which

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

P(X = 0) = C_{13,0}.(0.4)^{0}.(0.6)^{13} = 0.0013

P(X = 1) = C_{13,1}.(0.4)^{1}.(0.6)^{12} = 0.0113

P(X = 1) = C_{13,2}.(0.4)^{2}.(0.6)^{111} = 0.0453

So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0013 + 0.0113 + 0.0453 = 0.0579.

There is a 5.79% probability that at most 2 jelly beans are chosen.

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Answer:

3:1

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area is 2D while the perimeter is a length which is 1D. you can also about this in how the area is units squared while the perimeter is just units. so we need the square roote of 9 and 1, sqrt(9) = 3, sqrt(1) = 1. so the ratio of the perimeter is 3:1

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