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kifflom [539]
3 years ago
11

Multiply.

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0
The answer could be
-1287
im not sure
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Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.)State the random variab
WITCHER [35]

Answer:

a) X=number of heads observed when flipped the coin 3 times

b) the probability distribution is

P(X=x) = 3/4 * (1/[(3-x)!*x!)])

or

P(X)=1/8 for x=0 and x=3 and P(X)=3/8 for x=1 and x=2

Step-by-step explanation:

the random variable will be X=number of heads observed when flipped the coin 3 times . Since the result from each flip is independent of the others , then X has a binomial probability distribution , such that

P(X=x)= n!/[(n-x)!*x!)*p^x * (1-p)^(n-x)

where

n= number of times the coin is flipped = 3

p= probability of getting heads in a flip of the coin = 1/2 (assuming that the coin is fair)

therefore

P(X=x)= 3!/[(3-x)!*x!)*(1/2)^(3-x) * (1/2)^x = 3!/[(3-x)!*x!) * (1/2)³ = 3/4 * (1/[(3-x)!*x!)])

P(X=x)= 3/4 * (1/[(3-x)!*x!)])   , for x=[0,1,2,3]

for x=0 and x=3 → P(X)=3/4 * (1/[3!*0!)]) = 1/8

for x=1 and x=2 → P(X)=3/4 * (1/[2!*1!)]) = 3/8

we can verify that is correct since the sum of all the probabilities from x=0 to x=3 is  1/8 +  3/8+ 3/8+ 1/8 = 1

8 0
2 years ago
Read 2 more answers
The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.
inessss [21]
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.
7 0
3 years ago
What are the terms in the expression 350n-30n+350-(50+10n)
trapecia [35]
Terms- 350n, 30n, 350, and (50+10n) (four terms)
coefficients- 350,30,and 10
5 0
3 years ago
PLZ HELP!! WILL MARK BRANLYIST!!! 30 POINTS!!
V125BC [204]

Answer:

The distance between the light and the actor's face is 29.24 ft

Step-by-step explanation:

In the attached photo, you can see where the hypotenuse, the opposite side, and and adjacent side are located from the given angle measurement which is 70°. Our known side length is 10 ft which is our adjacent side and our variable is the hypotenuse. So, we will use <u>cos</u>.

Cos=\frac{adjacent}{hypotenuse}

Let's plug in our numbers and variable.

(Cos)70=\frac{10}{x}

Since our hypotenuse is a variable, we are going to flip the equation so we can find the value of the hypotenuse which is also our variable.

x=\frac{10}{(cos)70}

Divide 10 by (cos)70.

<em>x = 29.24</em>

So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.

8 0
3 years ago
Does anyone know this
Arturiano [62]

Answer:

C

Step-by-step explanation:

Option C is the correct answer.

8 0
3 years ago
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