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2 years ago

Each Social Security number (SSN) in the USA consists of 9 digits in the format XXX-XX-XXXX. Due

Mathematics

2 answers:

tresset_1 [31]2 years ago

5 0

Answer:

hello help

Step-by-step explanation:

stepladder [879]2 years ago

5 0

Just under 1 billion

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Describe a real world situation that would show a strong negative correlation explain your reasoning

Aloiza [94]

A strong negative correlation example would be the hours spend watching TV and your grades. It shows a strong negative correlation because if you just watch TV and not study for an exam, your grades would most likely be low.

8 0

2 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

drek231 [11]

Answer:

$P(X=14)=(18C14)(0.8)^{14} (1-0.8)^{18-14}=0.2153$

$P(X=15)=(18C15)(0.8)^{15} (1-0.8)^{18-15}=0.2297$

$P(X=16)=(18C16)(0.8)^{16} (1-0.8)^{18-16}=0.1722$

$P(X=17)=(18C17)(0.8)^{17} (1-0.8)^{18-17}=0.0811$

$P(X=18)=(18C18)(0.8)^{18} (1-0.8)^{18-18}=0.0180$

And adding the values we got:

$P(X \geq 14)= 0.2153 +0.2297+0.1722+0.0811+0.0180=0.7164$

Step-by-step explanation:

Assuming this question: P(X≥14), n=18, p=0.8

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=18, p=0.8)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X \geq 14) = P(X=14) +P(X=15) +P(X=16)+P(X=17)+P(X=18)$

And we can find the individual proabilities using the probability mass function:

$P(X=14)=(18C14)(0.8)^{14} (1-0.8)^{18-14}=0.2153$

$P(X=15)=(18C15)(0.8)^{15} (1-0.8)^{18-15}=0.2297$

$P(X=16)=(18C16)(0.8)^{16} (1-0.8)^{18-16}=0.1722$

$P(X=17)=(18C17)(0.8)^{17} (1-0.8)^{18-17}=0.0811$

$P(X=18)=(18C18)(0.8)^{18} (1-0.8)^{18-18}=0.0180$

And adding the values we got:

$P(X \geq 14)= 0.2153 +0.2297+0.1722+0.0811+0.0180=0.7164$

5 0

2 years ago

8(3(2x+3y)) what does it equal?

rjkz [21]

Hello from MrBillDoesMath!

Answer:

48x + 72y

Discussion:

8(3(2x+3y)) = => as 8*3 = 24

24 (2x + 3y) =

24*2x + 24*3y =

48x + 72y

Thank you,

MrB

7 0

2 years ago

Read 2 more answers

Gina is having a party and wants to spend less than $470. She has already spent $400. The only item left on her list is pizzas,

VashaNatasha [74]

Answer: 7

Step-by-step explanation:

7x10 =70

4 0

2 years ago

Choose correct graph with following function

Vlad1618 [11]

Answer:

The answer to your question is The second graph

Step-by-step explanation:

The general equation for a trigonometric is

Acos(Bx + C) + D

A indicates the amplitude if the value is 1, the lowest point is -1 and the highest point is 1. So we discard the first graph.

B indicates the period. A normal graph has a period of 2π, but this equation has a period of 3/2. This means that the period is smaller.

C indicates that the graph is moved to the left or right but in this problem C = 0, so it does not change.

D indicates if the graph is moved up or down, in this problem, D = 0 so it does not change.

4 0

2 years ago