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3 years ago

10

If a fair coin is tossed 8 times, what is the probability, to the nearest thousandth, of getting exactly 2 tails?

1 answer:

xxMikexx [17]3 years ago

7 0

Answer:

0.109

Step-by-step explanation:

Probability is expressed by the number of desirable outcomes over the total outcomes. The total outcomes would be 2^8 because there are two possibilities in each flip, and using the fundamental counting principle, you get 2^8 total outcomes. Next, to find the amount of situations where you only flip two tails, you use 8 choose 2 because we are looking for the amount of ways you can choose 2 out of the 8 to be tails. 8 choose 2 is the same as:

8! / (6! x 2!) - 28

So, the probability is:

28 / 2^8 or 28/256

As a decimal, this is: 0.109375

And rounded to the nearest thousandth it's 0.109

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Two points A and B are A (0,1) and B (2,4). Write down the eqaution of the line perpendicular to AB and Passing through the poin

Zielflug [23.3K]

Answer:

y = -2x/3 + 2

Step-by-step explanation:

A(0,1), B(2,4)

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Slope of perpendicular to AB

m = -1/(3/2) = -2/3

Point to lie on perpendicular, P(0,2)

Equation of perpendicular, point-slope form

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3 years ago

A cube-shaped box has a volume of 1/8 of a cubic meter. What is the perimeter of each of its

belka [17]

Given:

The volume of a cube-shaped box is $\dfrac{1}{8}$ cubic meter.

To find:

The perimeter of each of its faces.

Solution:

Let "a" be the side length of the cube shaped box. Then the volume of the box is:

$V=(side)^3$

$V=a^3$

It is given that the volume of a cube-shaped box is $\dfrac{1}{8}$ cubic meter.

$a^3=\dfrac{1}{8}$

Taking cube root on both sides, we get

$a=\dfrac{1}{2}$

Now, the perimeter of each face of a cube is:

$P=4a$

Where, a is the side length of the cube.

Putting $a=\dfrac{1}{2}$ , we get

$P=4\times \dfrac{1}{2}$

$P=2$

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3 years ago

THe product of three numbers is 3150. Two of the number are 14 and 15. Find the third number

Sholpan [36]

Answer:

15

Step-by-step explanation:

Let's call the mystery number x.

$14\cdot 15\cdot x=3150 \\\\210x=3150 \\\\x=3150/210=15$

Hope this helps!

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4 years ago

Read 2 more answers

NO LINKS <br> what is the answer??

Alex787 [66]

Answer:

5625 bald eagles

Step-by-step explanation:

Given

$y = 312.5x + 1562.5$

Required

Predict the numbers in 1998

First, we calculate the value of x

$x = 1998 - 1985$ ---- years since 1985

$x = 13$

So, we have:

$y = 312.5x + 1562.5$

$y = 312.5*13 + 1562.5$

$y = 4062.5 + 1562.5$

$y = 5625$

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3 years ago

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Liula [17]

Answer: D

Step-by-step explanation:

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3 years ago