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3 years ago

12) Calculate the expected value for a spin of this game. [A] $0.00 [B] $6.88 [C] $7.90 [D] $10.00 [E] $275.00

Mathematics

1 answer:

Westkost [7]3 years ago

6 0

Answer:

[B] $6.88

Step-by-step explanation:

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Factor x2+4x+3.

Alexxx [7]

Answer:

c. (x +3)(x + 1)

Step-by-step explanation:

Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,

$x^2 +4x +3$

Can be represented as the product of the following,

$(x+3)(x+1)$

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,

$(x+3)(x+1)\\$

Distribute,

$(x)(x)+(1)(x)+(3)(x)+(3)(1)$

Simplify,

$x^2 +x +3x + 3\\$

$x^2 +4x +3$

8 0

3 years ago

Four times a difference of 17 and a number is 84.

hichkok12 [17]

4×17-x=84
68-x=84
-x=16
x=-16

5 0

3 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

den301095 [7]

Answer:

$P(G) = 0.69$

$P(S | G) = 0.81$

$P(M|G') = 0.26$

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

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