Evaluate |2 5/6 +y| for y= 7/4

An urn contains 13 red marbles and 11 blue marbles. 12 marbles are chosen at random. What is the probability that 7 red marbles

algol13

The probability of selecting or choosing seven marbles is 0.29.

Let E be the event of choosing seven red marbles.

According to the given.

Total number of balls in an urn = 13 + 11 = 24

Total number of red marbles = 13

Total number of blue marbles = 12

Now, the total number of ways of selecting 12 marbles from 24 = $^{24} C_{12}$

And the number of ways of selecting 7 red marbles = $^{13} C_{7} \times ^{11} C_{5}$

As, we know that, the probability of any event can be calculated as by taking the ratio of favroble outcomes to the total number of outcomes.

Therefore, the probability of selecting or choosing seven marbles is given by

$P(E) = \frac{^{13}C_{7}\times\ ^{11} C_{5} }{^{24} C_{12} }$

⇒ P(E) = $\frac{\frac{13!\times11!}{7!\times6!\times 5!\times6! } }{\frac{24!}{12!12!} }$

⇒ P(E) = 792792/2704156

⇒P(E) = 0.29

Hence, the probability of selecting or choosing seven marbles is 0.29.

Find out more information about probability here:

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3 0

2 years ago

Sam lives 8 miles from work and Mike lives 30 miles from work. How much farther is Mike’s trip to work than Sam’s?

telo118 [61]

22 miles,
30miles - 8 miles = 22 miles
Mikes trip to work is 22 miles farther than sam’s

3 0

3 years ago

consider the figure shown below. Match the angles given in the first column with their equivalent degree Measure given in the fi

Nonamiya [84]

Answer:

∠3 = 115°

∠8 = 75°

∠6 = 105°

∠11 = 115°

∠9 = 65°

∠4 = 65°

Step-by-step explanation:

∠3 = 180 - 65 =115° because they are supplementary

∠8 = 75° because it is vertical to 75°

∠6 = 180 - 75 = 105° because they are supplementary

∠11 = 115° because it is corresponding to ∠3

∠9 = 65° because it is corresponding to ∠1

∠4 = 65° because it is vertical to 65°

5 0

3 years ago

How do you know that the slope of every horizontal line is 0? How do you know that the slope of every vertical line is undefined

DerKrebs [107]

The slope of a horizontal line is always 0 because all its points have the same y-coordinate

5 0

4 years ago

Select the correct answer from each drop-down menu. The length of side PQ is units. The length of side QR is about units. The pe

kicyunya [14]

Answer:

The length of side PQ is 2 units.

The length of side QR is 2.24 units.

The perimeter of the parallelogram PQRS is about 8.48 units.

Step-by-step explanation:

The given figure is as follows :

To find - The length of side PQ is ....... units.

The length of side QR is about ......... units.

The perimeter of the parallelogram PQRS is ........

Solution -

From the figure , we can see that

P = (-5, 3)

Q = (-3, 3)

R = (-4, 1)

S = (-6, 1)

Now,

By distance formula, we get

PQ = √(3 - 3)² + (-3 + 5)²

= √0 + 2²

= √4

= 2

∴ we get

The length of side PQ is 2 units.

Now,

QR = √(1 - 3)² + (-4 + 3)²

= √(-2)² + (-1)²

= √4 + 1

= √5

= 2.236

∴ we get

The length of side QR is 2.24 units.

Now,

We know that,

Perimeter of Parallelogram = 2(a + b) where a is the base and b is the side

Here Given that,

a = 2

b = 2.24

So,

Perimeter of parallelogram PQRS = 2(2 + 2.24)

= 2(4.24)

= 8.48

∴ we get

The perimeter of the parallelogram PQRS is about 8.48 units.

7 0

3 years ago