All categories

4 years ago

What is the expanded form of 3x(x+3)^2?

Mathematics

1 answer:

sdas [7]4 years ago

7 0

First: (X+3)(x+3) foil it. Then distribute the 3x among the values and combine like terms

You might be interested in

(9/ 4)/ 18 = 9/ (4 /18) A.True B.False

kotegsom [21]

False

<span>(9/ 4)/ 18
= 9/4 * 1/18
= 9/72
= 1/8 </span>

5 0

3 years ago

Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are nequals7 trials, eac

Ket [755]

Answer:

$P(X < 4)=0.1335+0.3115+0.3115+0.1730=0.9295$

Step-by-step explanation:

Question assumed: Find the probability that the number x of correct answers is fewer than 4.

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:

$X \sim Binom(n=7, p=0.25)$

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 to find this probability:

$P(X < 4)=P(X=0)+P(X=1)+P(X=2)+P(X=3)$

$P(X=0)=(7C0)(0.25)^0 (1-0.25)^{7-0}=0.1335$

$P(X=1)=(7C1)(0.25)^1 (1-0.25)^{7-1}=0.3115$

$P(X=2)=(7C2)(0.25)^2 (1-0.25)^{7-2}=0.3115$

$P(X=3)=(7C3)(0.25)^3 (1-0.25)^{7-3}=0.1730$

$P(X < 4)=0.1335+0.3115+0.3115+0.1730=0.9295$

3 0

4 years ago

ine segment XY has endpoints X(–10, –1) and Y(5, 15). To find the y-coordinate of the point that divides the directed line segme

stiks02 [169]

X=(-10,-1)=(Xx,Yx)→Xx=-10, Yx=-1
Y=(5,15)=(Xy,Yy)→Xy=5,Yy=15
y=?
ratio=5:3→r=5/3
y=(Yx+rYy) / (1+r)
y=[-1+(5/3)15] / (1+5/3)
y=[-1+(5*15)/3] / [(3+5)/3]
y=(-1+75/3) / (8/3)
y=(-1+25) / (8/3)
y=(24) / (8/3)
y=24*(3/8)
y=72/8
y=9

Asnwer: T<span>he y-coordinate of the point that divides the directed line segment XY in a 5:3 ratio is y=9</span>

3 0

3 years ago

Read 2 more answers

PLEASEEEEE HELPPPP!!!!!!!!

katen-ka-za [31]

Answer:

The answer in the procedure

Step-by-step explanation:

we have the right triangle ABC

The pre-image coordinates are

$A(0,0),B(0,3),C(4,0)$