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3 years ago

Which ordered pair is the solution to the system of linear equations y=-7X+2 and y = 9%-14?

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

7 0

Answer:

y = -7x + 2

y = 9x - 14

-7x + 2 = 9x - 14

14 + 2 = 9x + 7x

16 = 16x

1 = x

y = -7x + 2

y = -7(1) + 2

y = -7 + 2

y = -5

solution is : (1,-5)

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Find h(g(n)) when h(n) = 2n + 5<br> and g(n) = n +4

Evgen [1.6K]

Answer:

2n+13

Step-by-step explanation:

$h(g(n))\\h(n)=2n+5\\g(n)=n+4\\h(n+4)=2(n+4)+5\\=2n+8+5\\=2n+13$

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3 years ago

Seeds are often treated with fungicides to protect them in poor-draining, wet environments. A small-scale trial, involving six t

alukav5142 [94]

Answer:

0.0076 = 0.76% probability that all five plants emerged from treated seeds

Step-by-step explanation:

The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

In this question:

6 + 6 = 12 seeds, which means that $N = 12$

6 treated, which means that $k = 6$

Five sprouted, which means that $n = 5$

What is the probability that all five plants emerged from treated seeds?

This is P(X = 5). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 5) = h(5,12,5,6) = \frac{C_{6,5}*C_{6,0}}{C_{12,5}} = 0.0076$

0.0076 = 0.76% probability that all five plants emerged from treated seeds

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3 years ago

A number is picked randomly in the range [2,8]. If past selection indicates that the numbers picked are less than 5, what is the

yawa3891 [41]

Answer:

a) P = 2/7

b) P = 4/7

c) P = 1/7

Step-by-step explanation:

In the range of [2,8], we have the following integers which are: 2, 3, 4, 5, 6, 7, 8. So this is a total of 7 integers.

a) We look for the probability that the numbers are less than 4, so we conclude that there are possible numbers 2 and 3 out of possible 7, so the required probability is equal to P = 2/7.

b) We look for the probability that the numbers are greater than 4, so we conclude that there are possible numbers 5, 6, 7, 8 out of possible 7, so the required probability is equal to P = 4/7.

c) Based on the previous two examples, we conclude that the required probability is P = 2/7· 1/2=1/7.

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4 years ago

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Sonja [21]

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