All categories

3 years ago

PLEASE HELP!!!!

Mathematics

2 answers:

elixir [45]3 years ago

7 0

The Answer is C 5/6

250/300 reduced and simplified is 5/6

Korolek [52]3 years ago

7 0

Answer:

The probability that the student is right-handed given that the student is a girl is:

$\dfrac{5}{6}$

Step-by-step explanation:

From the tree diagram we have to find the probability that the students is right handed given that the student is a girl.

Let A denote the event that the student is a girl.

and B denote the event that the student is right handed.

We are asked to find the probability:

P(B|A)

We know that P(B|A) is calculated as:

$P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}$

There are a total of 500 students.

Out of which 300 are girls.

( i.e. $P(A)=\dfrac{300}{500}=\dfrac{3}{5}$ )

and out of 300 girls 250 are right handed.

( i.e. $P(A\bigcap B)=\dfrac{250}{500}=\dfrac{1}{2}$ )

Hence,

$P(B|A)=\dfrac{\dfrac{1}{2}}{\dfrac{3}{5}}\\\\\\P(B|A)=\dfrac{5}{6}$

Hence,The probability that the student is right-handed given that the student is a girl is:

$\dfrac{5}{6}$

You might be interested in

The radius of a cylinder is 3 yards, and the total surface area is 320 square yards. Which of the following is the closest to th

Olegator [25]

The answer is D I think

5 0

2 years ago

The pair of values below is from a direct variation. Find the missing number.

NISA [10]

Answer:

The answer is 2.

2 since 6/4=3/2

Step-by-step explanation:

Since your relation is a direct variation then the points on your line are of the form y=kx where k is the constant of variation (also called constant of proportionality)

If y=kx then y/x=k.

So all the points in this relation since it is a direct variation will be equal to y-coordinate/x-coordinate.

So we are going to solve this proportion:

$\frac{6}{4}=\farc{3}{x}$

Again I put y/x from each point. They should have same ratio because this is a direct variation.

Cross multiply:

$6(x)=4(3)$

$6x=12$

Divide boht sides by 6:

$x=\frac{12}{6}$

$x=2$

6 0

3 years ago

Read 2 more answers

Consider the game of independently throwing three fair six-sided dice. There are six combi- nations in which the three resulting

Murrr4er [49]

Answer:

See explanation below.

Step-by-step explanation:

1) First let's take a look at the combinations that sum up 10:

1+3+ 6,
1+ 4+ 5,
2+2+6,
2+3+5,
2 + 4 + 4,
3+3+4

Notice that when we have 3 different numbers on the dice, we can permute them in 6 different ways. For example: Let's take 1 + 3 + 6, we can get this sum with these permutations:

1 + 3 + 6, 1 + 6 + 3, 3 + 6 + 1, 3 + 1 + 6, 6 + 1 + 3, 6 + 3 + 1.

And when we have two different numbers on the dice, we can permute them in 3 different ways:

2 + 2 + 6, 2 + 6 +2, 6 + 2 + 2.

So now we're going to write down the 6 combinations that sum up 10 but we're going to write down how many permutations of them we get:

1+3+ 6 : 6 permutations
1+ 4+ 5 : 6 permutations
2+2+6: 3 permutations
2+3+5: 6 permutations
2 + 4 + 4: 3 permutations
3+3+4: 3 permutations

Total of permutations: 6 + 6 + 3 + 6 + 3 + 3 =27.

Thus we have 27 different ways of getting a sum of 10.

2) Now we're going to take a look at the combinations that sum up 9 and we're going to proceed in a similar way:

1 + 2 + 6: 6 permutations
1+3+5: 6 permutations
1+4+4: 3 permutations
2+ 3+ 4: 6 permutations
2+2 +5: 3 permutations
3+3+3: 1 permutation.

Total of permutations: 6 + 6 + 3 + 6 +3 + 1 = 25.

Thus we have 25 different ways of getting a sum of 10

And we can conclude that the probability of getting a total of 10 is larger than the probability to get a total of 9.

5 0

3 years ago

Could someone help me out ill mark brainliest

zlopas [31]

Step-by-step explanation:

1. The first graph has a negative slope (increases to the left) and has a y-intercept of 3. So, the equation of the line would be y = -2x + 3.

2. The second graph has a positive slope (increases to the right) and has a y-intercept of -3. Therefore, the equation of the line would be y = 2x - 3.

3. The third graph has a negative slope and has a y-intercept of -3. So, we can say that the equation of the line would be y = -2x - 3.

4. The fourth graph has a positive slope and a y-intercept of 3. Therefore, the equation of the line would be y = 2x + 3.

8 0

2 years ago

Read 2 more answers

Each leg of a 45 45 90 triangle has a length of 6 what is the length of its hypotenuse

Reika [66]

Let x = the length of the triangle's hypotenuse
using proportions, this is what the equation looks like:

cross multiply to get:

divide both sides by 45 to get
x=12

7 0

3 years ago