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2 years ago

6

Shea wrote the expression 5(y + 2) + 4 to show the amount of money five friends paid for snacks at a baseball game. Which expres

sion is equivalent to the one Shea wrote?

1 answer:

rjkz [21]2 years ago

3 0

Answer:

1. $5*y + 5*2 + 4$

2. $5*y + 10 + 4$

3. $5y + 14$

Step-by-step explanation:

Given

$5(y + 2) + 4$

Required

Write an equivalent expression

$5(y + 2) + 4$

Start by opening the bracket.

$5(y + 2) + 4 = 5 * y + 5 * 2 + 4$

$5(y + 2) + 4 = 5 y + 10 + 4$

Add like terms (10 and 4)

$5(y + 2) + 4 = 5 y + 14$

Hence, equivalent expressions of $5(y + 2) + 4$ are:

1. $5*y + 5*2 + 4$

2. $5*y + 10 + 4$

3. $5y + 14$

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3 years ago

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2 years ago

You want to go to graduate school, so you ask your math professor, Dr. Emmy Noether, for a letter of recommendation. You estimat

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Answer:

a

$P(G) = 0.69$

b

$P(S | G) = 0.81$

c

$P(M|G') = 0.26$

Step-by-step explanation:

From the question we are told the

The probability of getting into getting into graduated school if you receive a strong recommendation is $P(G |S) = 0.80$

The probability of getting into getting into graduated school if you receive a moderately good recommendation is $P(G| M) = 0.60$

The probability of getting into getting into graduated school if you receive a weak recommendation is $P(G|W) = 0.05$

The probability of getting a strong recommendation is $P(S) = 0.7$

The probability of receiving a moderately good recommendation is $P(M) = 0.2$

The probability of receiving a weak recommendation is $P(W) = 0.1$

Generally the probability that you will get into a graduate program is mathematically represented as

$P(G) = P(S) * P(G|S) + P(M) * P(G|M) + P(W) * P(G|W)$

=> $P(G) = 0.7 * 0.8 + 0.2 * 0.6 + 0.1 * 0.05$

=> $P(G) = 0.69$

Generally given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as

$P( S|G) = \frac{ P(S) * P(G|S)}{ P(G)}$

=> $P(S|G) = \frac{ 0.7 * 0.8 }{0.69}$

=> $P(S | G) = 0.81$

Generally given that you didn't receive an offer to attend a graduate program the probability that you received a moderately good recommendation is mathematically represented as

$P(M|G') = \frac{ P(M) * (1- P(G|M))}{(1 - P(G))}$

$P(M| G') = \frac{ 0.2 * (1- 0.6)}{ (1 - 0.69)}$

$P(M|G') = 0.26$

3 0

2 years ago