Find the values of x and y in simplest radical form

Sam intends to roll a six sided cube 100 times. What is the probability model he can use to predict whether or not each roll wil

bekas [8.4K]

The outcomes of rolling fair six sided die is $\{1,2,3,4,5,6\}$ . The prime numbers in the above outcomes are $\{2,3,5\}$ . The probability of not rolling a prime number is $p=\frac{3}{6}= 0.5$ .

Each trial is independent.

In the given experiment of 100 trials, the binomial probability model can be used to predict the number of occurrence of non-prime numbers (X). The probability mass function is

$P(X=x)=C(100,x)p^x(1-p)^{100-x},x=0,1,2,3,...,100$ . Since $p=0.5,1-p=0.5$

$P(X=x)=C(100,x)0.5^x(0.5)^{100-x},x=0,1,2,3,...,100 \\ P(X=x)=C(100,x)(0.5)^{100},x=0,1,2,3,...,100$

8 0

3 years ago

Read 2 more answers

Help me out plesseee!!

nasty-shy [4]

Step-by-step explanation:

the rate of change is officially

(f(x2) - f(x1)) / (x2 - x1)

but for a line function (as we have here) this is totally easy : it is the slope of the line.

and that means it is the factor of x.

in our case this is -3/2.

because the slope of a line is the ratio "y coordinate change / x coordinate change". and that is exactly corresponding to the general rate of change definition above.

3 0

2 years ago

PLEASE HELP ASAP I am kinda stuck on this because my teacher didn’t teach me this

wariber [46]

Answer:

the first option

a = -2

b = 3

Step-by-step explanation:

See photo attached. (:

5 0

3 years ago

everyone's indiviaual demand for a particular good or service can be represented by the same demand curve

bija089 [108]

The statement "everyone's individual demand for a particular good or service can be represented by the same demand curve " is false. Option B

This is further explained below.

<h3>What is the demand curve?</h3>

Generally, In the field of economics, a demand curve is a graph that illustrates the relationship between the price of a particular commodity and the quantity of that commodity that is demanded at that price. Specifically, the graph shows how the quantity of a commodity is affected by the price of the commodity.

Demand curves may be used to analyze the price-quantity connection for a single customer, or they can be used to analyze the relationship for all consumers in a certain market.

In conclusion, It is a fallacy to assert that "everyone's individual need for a given commodity or service can be represented by the same demand curve."