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2 years ago

10. Given f(x) = 2x + 8 which points are

Mathematics

1 answer:

Bingel [31]2 years ago

4 0

Answer:

It would be B and C

Step-by-step explanation:

When you substitute the numbers on choice B you get something as follows

f(x)=2(-1)+8

f(x)=-2+8

f(x)=6, therefore

(-1,6)

you can also do the same step for C

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Which of the following statements are true ? Check all that apply

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Answer:

Options A) and E)

Step-by-step explanation:

If you use Ruffini's method for polynomials, you can find the roots.

The given picture shows us the first root of the polynomial $5x^{2}-16x+12=0$ wich is 2.

Thus, the original polynomial can be written as

$(x-2)*(5x-6)=0$

Here, you can notice that (x-2) is a factor

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2 years ago

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1 year ago

Who is correct? Thanks for the help

Aleksandr-060686 [28]

I believe Hector is correct

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2 years ago

A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 stude

EleoNora [17]

Answer:

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

And we can use the probability mass function and we got:

$P(X=0)=(20C0)(0.2)^0 (1-0.2)^{20-0}=0.0115$

$P(X=1)=(20C1)(0.2)^1 (1-0.2)^{20-1}=0.0576$

$P(X=2)=(20C2)(0.2)^2 (1-0.2)^{20-2}=0.1369$

And adding we got:

$P(X \leq 2)=0.0115+0.0576+0.1369 = 0.2061$

b) $P(X=4)=(20C4)(0.2)^4 (1-0.2)^{20-4}=0.2182$

c) $P(X>3) = 1-P(X \leq 3) = 1- [P(X=0)+P(X=1)+P(X=2)+P(X=3)]$

$P(X=0)=(20C0)(0.2)^0 (1-0.2)^{20-0}=0.0115$

$P(X=1)=(20C1)(0.2)^1 (1-0.2)^{20-1}=0.0576$

$P(X=2)=(20C2)(0.2)^2 (1-0.2)^{20-2}=0.1369$

$P(X=3)=(20C3)(0.2)^3 (1-0.2)^{20-3}=0.2054$

And replacing we got:

$P(X>3) = 1-[0.0115+0.0576+0.1369+0.2054]= 1-0.4114= 0.5886$

d) $E(X) = 20*0.2= 4$

Step-by-step explanation:

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:

$X \sim Binom(n=20, p=0.2)$