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3 years ago

The following two-way table describes student's

Mathematics

1 answer:

Irina-Kira [14]3 years ago

7 0

Answer:

$P(Sports|Senior)= 0.71$

Step-by-step explanation:

Hello!

You have a two-way table with the information describing students after school activities regarding the grade the student is in.

You have to calculate the probability that a randomly selected student is ins sports given that he is a senior.

This is a conditional probability and you can symbolize it as:

P(Sports|Senior)

Using the definition of the conditional probability we know that:

$P(Sports|Senior)= \frac{P(Sports n Senior)}{P(senior)}$

The probability of the intersection of both events "Sports" and "Seniors" can be calculated as the number of students that are in senior years and take sports by the total of students in the sample

P(Sports ∩ Senior)= $\frac{25}{100}= 0.25$

The probability of the student being a senior is a marginal probability, you can calculate is as the number of observed students that are in senior year by the total number of students:

P(senior)= $\frac{35}{100} = 0.35$

Now you can calculate the asked probability

$P(Sports|Senior)= \frac{P(Sports n Senior)}{P(senior)}= \frac{0.25}{0.35} = 0.71$

I hope this helps!

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the ratio of sallys height is 7:8. if the sum of their heights is 90 inches. how tall are sally and jack?

pickupchik [31]

Answer:

Sally is 42 in. tall, and Jack is 48 in. tall.

Step-by-step explanation:

There are some words missing in the problem.

Perhaps the problem was meant to read:

"The ratio of Sally's height to Jack's height is 7:8. If the sum of their heights is 90 inches, how tall are Sally and Jack?"

Solution:

The ratio of the heights is 7:8.

Sally could measure 7 inches and Jack 8 inches, but then when you add the heights, 7 in. + 8 in. = 15 in. which is not 90 inches.

If you multiply both numbers in a ratio by the same number, the new numbers are still in the same ratio.

Multiply 7 and 8 by 2. You get 14 and 16. Maybe Sally is 14 in. tall and Jack is 16 in. tall. Add the heights, 14 in. + 16 in. = 30 in. This is also not 90 in.

We can keep on guessing what number to multiply by 7 and 8 by so their sum is 90, but we can use algebra to write an equation and not have to go through many guesses.

There is a number, x, that when you multiply 7 and 8 by x, the sum of the products is 90. We don't know what x is, but we can write an equation and solve for x.

The numbers in the ratio are 7x and 8x.

7x and 8x are still in the ratio 7:8.

Now we add the numbers 7x and 8x and set the sum equal to 90. Then we solve for x.

7x + 8x = 90

15x = 90

x = 6

We get x = 6. Now we know we need to multiply both 7 and 8 by 6 to get the heights we need.

7 in. * 6 = 42 in.

8 in. * 6 = 48 in.

Check: 42 in. + 48 in. = 90 in.

Answer: Sally is 42 in. tall, and Jack is 48 in. tall.

7 0

3 years ago

Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than

lana66690 [7]

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²

8 0

3 years ago

Find 759 ÷ 3. PLS I NEED HELP ITS EITHER HAS A REMAINDER OR NOT ALSO GIVE ME AN ANSWER PLS DIS DUE TODAY

omeli [17]

Answer:

253

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

How Do I solve this I am quite confused

Kazeer [188]

Answer:

$11,714

Step-by-step explanation:

C(x) = 0.7x² - 462x + 87,944

this is a quadratic equation that opens up

the vertex will be the minimum

From the quadratic formula the x coordinate of the vertex is

x = -b/2a

x = 462/(2 * 0.7)

x = 330

Plug in

c(330) = 0.7(330²) - 462(330) + 87,944

c(330) = 11,714

$11,714

5 0

3 years ago

there are 8 theaters at the mall each of the 7 theaters have 175 seats the mall's theaters have 1550 seats in all how many seats

worty [1.4K]

So, your first step would be 175x7 which would equal to 1225. Then, you would want to add 1225+1550 to get your total, 2775 seats.

Answer - 2775 Seats in all/total

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3 years ago