Choose the following ratios as a percent: 20 correct out of 25 problems<br> 25%<br> 80%<br> 20%

A recipe for cake calls for 5.25 deciliters of milk. How many liters of milk are needed for the cake?

Anni [7]

To convert the amount of milk from deciliters to liters we proceed as follows:
1 liter = 10 deciliters
therefore the amount of liters used in making the cake will be found as follows:
5.25/10×1=0.525 liters

Answer: 0.525 liters

7 0

3 years ago

You play two games against the same opponent. The probability you win the first game is 0.4. If you win the first game, the prob

koban [17]

Answer:

a) No, because the probabilities of winning the 2nd game are dependant on the result of the 1st game. The probabilities are different if you win or lose the first game.

b) P=0.42

c) P=0.08

d)

X | P(X)

------------------

0 | 0.42

1 | 0.50

2 | 0.08

e) E(x)=0.66

s.d.=0.62

Step-by-step explanation:

a) No, because the probabilities of winning the 2nd game are dependant on the result of the 1st game. The probabilities are different if you win or lose the first game.

b) The probability of losing the first game is

$P(G_1=L)=1-P(G_1=W)=1-0.4=0.6$

The probability of losing the second game, given that the first game was lost is:

$P(G_2=L|G_1=L)=1-P(G_2=W|G_1=L)=1-0.3=0.7$

So the probability of losing both games is:

$P(G_2=L\&G_1=L)=P(G_1=L)*P(G_2=L|G_1=L)=0.6*0.7=0.42$

c) The probability of winning both games is:

$P(G_2=W\&G_1=W)=P(G_1=W)*P(G_2=W|G_1=W)=0.4*0.2=0.08$

d) The variable X can take values 0, 1 and 2.

X=0 is when both games are lost. This happens with probability P=0.42.

X=2 is when both games are won. This happens with probability P=0.08.

X=1 is when one game is won and the other is lost. This happens with probability P=1-0.42-0.08=0.50.

Then the table of probabilities become:

X | P(X)

------------------

0 | 0.42

1 | 0.50

2 | 0.08

e) The expected value is:

$E(x)=\sum p_ix_i=0.42*0+0.50*1+0.08*2=0.00+0.50+0.16=0.66$

The variance and standard deviation of x are:

$V(x)=\sum p_i(x_i-E(x))^2\\\\V(x)=0.42(0-0.66)^2+0.50(1-0.66)^2+0.08(2-0.66)^2\\\\V(x)=0.42*0.4356+0.50*0.1156+0.08*1.7956\\\\V(x)=0.183+0.058+0.144=0.385\\\\\\\sigma=\sqrt{V(x)}=\sqrt{0.385}=0.62$

The standard deviation can

5 0

3 years ago

Which of the following is the best definition of like radical terms?

Debora [2.8K]

Answer:

(d)

Step-by-step explanation:

5 0

3 years ago

The cedar trail is 2 7/8 miles long and the maple trail is 1 1/2 miles long. How much longer is the cedar trail than the maple t

Anon25 [30]

Take 2 7/8 and subtract 1 1/2 and we get 1 3/8. In conclusion, the Cedar Trail is 1 3/8 mile longer than the Maple Trail.

Hope this helps.

8 0

3 years ago

Of 12 eggs in a refrigerator 5 are rotten. From these 4 eggs are chosen at random to make a cake. What is the probability that a

attashe74 [19]

This could be a trick question. Based on the wording of the question “from these”, it would infer that the eggs are selected from rotten ones. This is a dangling participle.

So, the trick question answer is 0% that exactly one is rotten and 100% that All are rotten.

6 0

3 years ago

Choose the following ratios as a percent: 20 correct out of 25 problems 25% 80% 20%