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Luden [163]
3 years ago
13

If you flip a fair coin five times what is the probability that you will get exactly 3 tales

Mathematics
1 answer:
V125BC [204]3 years ago
4 0
<h3>Answer: 0.3125</h3>

As a fraction, 0.3125 = 5/16

================================================

Work Shown:

n = 5 trials

p = 0.5 is the probability of landing tails

x = 3 = number of tails we want to happen

Use the binomial PDF formula to get

(n C x)*(p)^x*(1-p)^(n-x)

(5 C 3)*(0.5)^3*(1-0.5)^(5-3)

10*(0.5)^3*(0.5)^(2)

0.3125

note: flipping a single coin 5 times is the same as flipping 5 independent coins one time

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Numbers that come one after the other are called consecutive numbers.
KonstantinChe [14]

Answer:

A

Step-by-step explanation:

Here, we want to get the number that will be in the units place

Six consecutive numbers from 33 are;

33 , 34 , 35 , 36 , 37 , 38 ,

Product of 5 and any of the even numbers will yield 0

That means the number on the unit place is 0

3 0
3 years ago
I need help finding y
denpristay [2]

Answer:

y = 9.8995

Step-by-step explanation:

This question requires the use of basic trigonometry.

In this problem, we know one of the sides and two of the angles.

Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.

You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.

7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.

Hope this helped!

4 0
3 years ago
What is the equation of the line with the same slope as the equation x-4y=3 and the y-intercept(0,-8)?
katen-ka-za [31]

Answer:

y = 1/4x -8

Step-by-step explanation:

First find the slope of the line

x-4y =3

Subtract x from each side

x-4y -x = -x+3

-4y = -x+3

Divide each side by -4

-4y/-4 = -x/-4 +3/-4

y = 1/4 x -3/4

This is in the form y= mx+b where the slope is m and the y intercept is b

The slope is 1/4

We want the same slope

y = 1/4x +b

we know the y intercept is -8

y = 1/4x -8

8 0
4 years ago
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25
Elodia [21]

Answer:

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Step-by-step explanation:

(4x+1) and (2x-19) add up to 180 degrees

(4x+1)+(2x-19)=180\\6x-18=180\\6x=198\\x=33

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2 years ago
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Alik [6]

Answer:

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Step-by-step explanation:

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3 years ago
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