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3 years ago

8

Mark donated 15% of the money he earned last summer to the hurricane relief fund. If he donated at total of $475.00 how much did

he earn last summer? (if needed, round your answer to the nearest cent)

1 answer:

Fantom [35]3 years ago

4 0

That’s the right answer well done

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Melissa's father is planning to open a savings account to pay for Melissa's college education. He has found a bank that will pay

Elodia [21]

Answer:

Initial Deposit = $40,900

Step-by-step explanation:

Working shown in picture.

3 0

4 years ago

The Reds and the Cubs are playing 3 games. In each game the probability that the Reds win is 0.54. The probability of the Reds w

shusha [124]

Answer:

(a) 1.6197

(b) 1.3803

Step-by-step explanation:

(a) Let X denote the number of games the Reds win. If Reds win exactly one it means that in the other two games Reds lost i.e Cubs won. Now, the probability of the Reds losing is determined by $1 -\text{probability of winning} = 1-0.54 = 0.46$ . So, if X wins exactly $i$ times, then we should multiply the probabilities associated with

$P(X=0) = \binom{3}{0} \times 0.46 \times 0.46 \times 0.46 = 0.0973$

$P(X=1) = \binom{3}{1} 0.54 \times 0.46 \times 0.46 = 0.3429$

$P(X=2) = \binom{3}{2} 0.54 \times 0.54 \times 0.46 = 0.4023$

$P(X=3) = \binom{3}{3} 0.54 \times 0.54 \times 0.54 = 0.1574$

Now,

$E(X) = \sum_{i=0}^{3} i \times P(X=i) = 1.6197$

(b) Let Y denote the number of games won by Cubs. Then by the similar logic as above,

$P(Y=3) = \binom{3}{0} 0.46 \times 0.46 \times 0.46 = 0.0973$

$P(Y=2) = \binom{3}{1} 0.54 \times 0.46 \times 0.46 = 0.3429$

$P(Y=1) = \binom{3}{2} 0.54 \times 0.54 \times 0.46 = 0.4023$

$P(Y=0) = \binom{3}{3} 0.54 \times 0.54 \times 0.54 = 0.1574$

Now

$E(Y) = \sum_{j=0}^{3} j \times P(Y=j) = 1.3803$

8 0

4 years ago

PLEASE HELP!!!<br>what is the length of segment SR? units

AlekseyPX

Answer:

x=2

Step-by-step explanation:

2x+8=8x-4

2x+12=8x

12=6x

2=x

x=2

4 0

3 years ago

38.96 to the nearest tenth

RUDIKE [14]

39 , is your answer.

6 0

4 years ago

I'm not sure how to start the process....

lesantik [10]

Step 1; both side divide by 4, you'll get Ix-10I=8
step 2: x-10=8 or x-10=-8
x=18 or x=2

3 0

3 years ago