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3 years ago

What is 5x - 8y= 24?

Mathematics

1 answer:

Fittoniya [83]3 years ago

7 0

Answer:

Step-by-step explanation:

5x + 8y = 24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8y' to each side of the equation.

5x + 8y + -8y = 24 + -8y

Combine like terms: 8y + -8y = 0

5x + 0 = 24 + -8y

5x = 24 + -8y

Divide each side by '5'.

x = 4.8 + -1.6y

Simplifying

x = 4.8 + -1.6y

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Write y+4 = -7 (x-3) in slope intercept form

Evgesh-ka [11]

Answer: y=-7x+17

-Distribute -7(x-3)

-Subtract 4 from both sides

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3 years ago

What is 5q-4p+6=4q-8

seraphim [82]

Answer:

q=4p-14

Step-by-step explanation:

5q-4p+6=4q-8

5q-4q-4p=-8-6

q-4p=-14

q=-14+4p

q=4p-14

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3 years ago

Point O is the center of the given circle. What is the measure of YZ?

Rina8888 [55]

Let a chord join YZ, then angle XYZ = 90° and angle XZY = 90 - 54 = 36°
angle OYZ = angle XZY = 36°

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3 years ago

Read 2 more answers

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper

Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. 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.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that $p = 0.3$

14 of these containers of paper.

This means that $n = 14$

What is the probability that John finds less than 7 golden sheets of paper?

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

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

$P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068$

$P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407$

$P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134$

$P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943$

$P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290$

$P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963$

$P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067$

90.67% probability that John finds less than 7 golden sheets of paper

7 0

3 years ago

Pls help me I will make you as brain plsss

juin [17]

Answer: y=-2

Step-by-step explanation: y=-2 is a horizontal line containing the points (2,-2) and (0,-2).

8 0

3 years ago