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3 years ago

Graph the function. f(x)=−1/5x+4

Mathematics

1 answer:

Ivenika [448]3 years ago

7 0

4 is y and -1/5 is x

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Suppose that in a large metropolitan area, 73% of all households have cable tv. Suppose you are interested in selecting a group

Darina [25.2K]

Answer:

$P(X \leq 2)=0.000387+0.00628+0.0425=0.0491$

Step-by-step explanation:

1) 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".

2) Solution to the problem

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

$X \sim Binom(n=6, p=0.73)$

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:

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

For what proportion of groups will at most two of the households have cable tv?

So we want to find this probability:

$P(X \leq 2)=P(X=0)+P(X=1)+P(X=2)$

$P(X=0)=(6C0)(0.73)^0 (1-0.73)^{6-0}=0.000387$

$P(X=1)=(6C1)(0.73)^1 (1-0.73)^{6-1}=0.00628$

$P(X=2)=(6C2)(0.73)^2 (1-0.73)^{6-2}=0.0425$

$P(X \leq 2)=0.000387+0.00628+0.0425=0.0491$

3 0

3 years ago

Help it’s for my final most of my grade

Cloud [144]

-11.3 so the answer is B

4 0

3 years ago

Find the interquartile range (IQR) of the data in the box plot below.

den301095 [7]

Answer:

IQR=0.2

Step-by-step explanation:

0.8-0.6=0.2

5 0

3 years ago

Read 2 more answers

A triangle where one angle 120 degrees and another 50 degrees

hram777 [196]

I do not understand what you are asking for

I am assuming you want the missing angle, in this case it is 10

Triangle Sum Theorem states that a triangle is equal to 180 degrees

120+50 = 170

180-170

= 10

7 0

3 years ago

Examine this system of equations. What integer should the second equation be multiplied by so that when the two equations are ad

Zepler [3.9K]

Answer:

Step-by-step explanation:

we should multiply the 1/8 on the 2nd equation, by some number "n", such that our result will be equals to -3/4, namely the above x-coefficient but negative, or different sign, so (rest of the explanation is in the picture attached)

3 0

2 years ago