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3 years ago

4x + 2y = 4 Is y a function of x?

1 answer:

5 0

Yes y is a function of x.

Rewrite the function using algebra to get this:

y = -x + 2

That forms an equation of a line whose slope is -2 and whose y-intercept is 2

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In a race, Andrew ran 4 minutes less than 4 times as many minutes as Chris ran. Write an expression to represent the number of m

Aleksandr [31]

Answer:

4y - 4

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

7 0

3 years ago

Brian wants to ship three medium sized boxes. Two companies offer different rates.

lions [1.4K]

Answer:

Step 4

Step-by-step explanation:

Bryan wants to ship three medium-sized boxes. Two companies offer different rates.

Company Rate

$14.65 per box

First box is free, $16.20 for any additional boxes

Bryan used the six steps to solve this problem. On one of the steps, he decided that he would use multiplication and addition to compare the companies and find the best rate. Which step did Bryan use to help him decide?

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2 years ago

A child plays a video game 155 times and wins the game 32 times. What is the experimental probability that the child loses the v

chubhunter [2.5K]

1 out of 5 games could be the answer

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3 years ago

5x <img src="https://tex.z-dn.net/?f=5x%20%7B%20%7B%20%3D%2045%7D%5E%7B%3F%7D%20%7D%5E%7B2%7D%20" id="TexFormula1" title="5x

Ilia_Sergeevich [38]

$\bf 5x=45^2\implies x=\cfrac{45^2}{5}\implies x=\cfrac{2025}{5}\implies x=405$

8 0

3 years ago