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miv72 [106K]
2 years ago
3

Bowl I contains eight red balls and six blue balls. Bowl II is empty. Four balls are selected at random, without replacement, an

d transferred from bowl I to bowl II. One ball is then selected at random from bowl II. Calculate the conditional probability that two red balls and two blue balls were transferred from bowl I to bowl II, given that the ball selected from bowl II is blue.
Mathematics
1 answer:
kolezko [41]2 years ago
6 0

Answer:

Step-by-step explanation:

The original possibility of getting blue balls out would be 6/14 and for red balls it would be 8/14. With only 4 balls taken the fractions change to a denominator of 4. There would then be blue- 2/4 (rounded down) and red- 2/4 (rounded up). in total both balls could be 2 of each colour although there is more chance of there being more blue balls as the probability was slightly higher!

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A kite has a height of 36 inches and a width of 30 inches. Explain how to use the area formula for a triangle to find the area o
natta225 [31]

Answer:

You can view a kite as 4 triangles

Step-by-step explanation:

A geometric kite can easily be viewed as 4 triangles.  The formula to calculate the area of a kite (width x height)/2 is very similar to the one of a triangle (base x height)/2.

According to the formula to calculate the area of a kite, we would get:

(36 x 30)/2 = 540.

If we take the approach of using 4 triangles, we could imagine a shape formed by 4 triangles measuring 18 inches wide with a height of 15.

The area of each triangle would then be: (18 x 15)/2 = 135

If we multiply this 135 by 4... we get 540.

7 0
2 years ago
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Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box cos
RideAnS [48]

Answer:

Jillian sold 15 ten-oz bags and 9 sixteen-oz bags.

Step-by-step explanation:

Let x represent number of 10-oz bags and y represent number of 16-oz bags.

We have been given that Jillian sold 24 boxes of cookies in total. We can represent this information in an equation as:

x+y=24...(1)

We are also told that 10 oz. box costs $3.50, while the 16 oz. box costs $5.00, so the cost of x 10-oz bags would be 3.50x and cost of y 16-oz bags would be 5y.

At the end of one week, she collected $97.50. We can represent this information in an equation as:

3.5x+5y=97.50...(2)

Now, we will use substitution method to solve our system of equations. From equation (1), we will get:

y=24-x

Substitute this value in equation (2):

3.5x+5(24-x)=97.50

3.5x+120-5x=97.50

-1.5x+120=97.50

-1.5x+120-120=97.50-120

-1.5x=-22.5

\frac{-1.5x}{-1.5}=\frac{-22.5}{-1.5}

x=15

Therefore, the number of 10-oz boxes sold be Jillian is 15.

Now, we will substitute x=15 in equation (1) to solve for y.

15+y=24

15-15+y=24-15

y=9

Therefore, the number of 16-oz boxes sold be Jillian is 9.

8 0
2 years ago
The universal set is the set of rational numbers. S is the set of integers. Which represents Sc?The universal set is the set of
Y_Kistochka [10]

Answer:

The set of numbers of the form \frac{p}{q} , q≠0 and q≠ 1 or -1.

Step-by-step explanation:

We have that,

U = the universal set = the set of all rational numbers

S = set of all integers.

It is required to find S^{c}.

Now, S^{c} is the complement of the set S.

i.e. S^{c} = U - S = set if rational numbers - set of integers

i.e. S^{c} = the set of rationals which are not integers i.e. the set of points of the form \frac{p}{q} , q≠0 and q≠ 1 or -1.

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2 years ago
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The mean is given by
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The standard deviation is given by
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Simplify the expression insert √96/8
Sever21 [200]
The answer is 2√3
I hope this answers your question :)
6 0
2 years ago
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