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musickatia [10]

3 years ago

12

In a survey 8/10 of the students chose saturday and 1/10 chose monday as their favorite day of the week. What fraction shows the

students who chose saturday or monday as their favorite day?

1 answer:

Y_Kistochka [10]3 years ago

5 0

90% because 8/10+1/10=9/10=90%

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Alex and bob are playing 5 chess games. Alex is 3 times more likely to win than bob. What is the probability that both of them w

givi [52]

Answer:

12.2%

Step-by-step explanation:

Lets firstly find out the probabilities for Alex and Bob. We know that the prb that Alex wins is 3 times the prob for Bob, so:

P(A) = 3P(B)

And, as these values are probabilities they must sum 1:

P(A) + P(B) = 1

Replacing the first equation in the second:

3P(B) + P(B) = 1

4P(B) = 1

Dividing both sided by 4:

4P(B)/4 = 1/4

P(B) =1/4

So, the probability for Bob is 1/4. Then the probability for Alex is 3*1/4 = 3/4

Now we have to find the probability that both win at least two games. Lets think about the possible combination of cases. As they play 5 games and both have to win at least to there is a remaining game that cane variate, this is, can be won by Alex or Bob. So, we can have:

AABBB

AABBA

Where A is "Alex win" and B is "Bob win" (here we do not pay attention to the order).

Thus, we have to find the probability that Alex wins 3 games and Bob 2 games, and the probability that Alex wins 2 games and Bob 3 games. As the games are independent, i.e., the result of one games does not affect the followings we can just multiply the probabilities:

P(3A and 2B) = (3/4)*(3/4)*(3/4)*(1/4)*(1/4) = 0.42*0.06 = 0.026

P(2A and 3B) = (3/4)*(3/4)*(1/4)*(1/4)*(1/4) = 0.56*0.016 = 0.096

So,

P (at least 2) = P(3A and 2B) + P(2A and 3B) = 0.026 + 0.096 = 0.122 = 12.2%

7 0

3 years ago

An aquarium has a base area of 6 square feet and a height of 2 feet. Will the aquarium fit in 15 cubic feet of space? Explain wh

Brums [2.3K]

Answer:

Yes, the aquarium <u>will</u> fit in 15 cubic feet of space.

Step-by-step explanation:

Given:

An aquarium has a base area of 6 square feet and a height of 2 feet.

Now, to find will the aquarium fit in 15 cubic feet of space or not.

<em>So, as given the dimensions:</em>

Base area = 6 square feet.

Height = 2 feet.

Now, to get the volume of aquarium by using formula:

$Volume=base\ area\times height\\\\Volume=6\times 2\\\\Volume=12\ cubic\ feet.$

<u><em>As, the volume of aquarium is 12 cubic feet.</em></u>

<u><em>And, the aquarium to be fit in 15 cubic feet space. So, 15 is more than 12.</em></u>

<u><em>Thus, the aquarium will be fit in 15 cubic feet space.</em></u>

Therefore, the aquarium will fit in 15 cubic feet of space.

7 0

3 years ago

Mike, Luke, and Alex each own a white hat marked with the first letter of their name. Winter owns a plain red hat, which is not

Karo-lina-s [1.5K]

Answer:switch mikes Luke’s and Alex in between each other and let winter keep her own

Step-by-step explanation:

7 0

2 years ago

HELP!!! LOTS OF POINTS

Igoryamba

Answer:

Answer:

put 37, 22,59,35,6,41,72,28,100 in chart < That is for the ppl who cant click on the brainly site but it still shows alitttle

For the ppl who can click on brainly:

Part A:

Like Cupcakes

Do Not Like Cupcakes

Total

Like Brownies

37

22

59

Do Not Like Brownies

35

6

41

Total

72

28

100

Part b: 6

Part c: You really have to figure out how to word this 37- 72=35 35-41=6

hope it helps

4 0

3 years ago

How many significant numbers are in 1,076

Anton [14]

There are 4 significant figures as the zero is placed between significant numbers.

8 0

2 years ago