Ask question

Ask question

All categories

3 years ago

12

8X +6Y+4 Y=-3X+9 using substitution what numbers are the variables X and Y

1 answer:

Svetach [21]3 years ago

6 0

Answer:

(5,6)

Step-by-step explanation:

8X +6Y=4

Y=-3X+9

Substitute the second equation into the first. Every place you see y put -3x+9)

8x +6(-3x+9)=4

Distribute

8x-18x +54 = 4

Combine like terms

-10x +54 = 5

Subtract 54 from each side

-10x +54-54=4-54

-10x = -50

Divide by -10

-10x/-10 = -50/-10

x= 5

Now we need to find y

y = -3x+9

y = -3(5) +9

y = -15+9

y= 6

(5,6)

You might be interested in

In a study, 43% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people

marishachu [46]

Answer:

13.44% probabilith that at most 3 are in excellent health.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they are in excellent health, or they are not. The probability of an adult being in excellent health is independent of other adults. So we use the binomial probability distribution 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.

43% of adults questioned reported that their health was excellent.

This means that $p = 0.43$

13 adults randomly selected

This means that $n = 13$

Find the probability that when 13 adults are randomly selected, at most 3 are in excellent health.

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which:

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

$P(X = 0) = C_{13,0}.(0.42)^{0}.(0.58)^{13} = 0.0008$

$P(X = 1) = C_{13,1}.(0.42)^{1}.(0.58)^{12} = 0.0079$

$P(X = 2) = C_{13,2}.(0.42)^{2}.(0.58)^{11} = 0.0344$

$P(X = 3) = C_{13,3}.(0.42)^{3}.(0.58)^{10} = 0.0913$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0008 + 0.0079 + 0.0344 + 0.0913 = 0.1344$

13.44% probabilith that at most 3 are in excellent health.

6 0

3 years ago

Can someone help me with this question

Gennadij [26K]

0.5 would be the answer

8 0

3 years ago

Find the missing side of each right triangle (((((Pythagorean’s Theorem))))))))

kaheart [24]

Answer:

3

Step-by-step explanation:

36-27 = 9

$\sqrt{9} = 3$

7 0

3 years ago

Every Halloween, trick-or-treaters love going to Elise's house to see her spooky decorations and get some of her delicious caram

kati45 [8]

Answer:

The answer is Yes

Step-by-step explanation:

1) 2/5 = 18/45

2x45 = 18x5

90 = 90 True

2) 6/9 = 54/81

6x81 = 54x9

486 = 486 True

3 0

4 years ago

Brent has 48 pens in his locker. The pens are colored blue and black. He counts 30 pens and the

sergejj [24]

Answer:

18:30

or a more simplified version is

3:5

3 0

3 years ago

Read 2 more answers