A line passes through the point (4, -2) and has a slope of -5/4

1/5=10 There are 10 baseball cards 1/10=5 There are 5 football card's 50-10-5=35 There are 35 basketball card's 35-10=25 Gerry has 25 more basketball card's than baseball card's

7 0

3 years ago

You owe 958.62 on a credit card at 9.7 percent apr the minimum payment is 105.00 how much goes toward principal if you make the

weqwewe [10]

APR stands for Annual Percentage Rate and in this problem, we are given APR is equal to 9.7%
Per month rate = 9.7% / 12 months = 0.808%

Total credit interest for 12 months = 958.62 *0.097 = $92.97
In one month = $92.97/12 = $7.7475
If you pay at the end of the first month:
Payment = 105.00
The amount goes to principal:
Amount =$105 - $ 7.7475
Amount = $142.25

7 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:

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

3 years ago