What is the length of square root 18 to the nearest hundredth

Y=3x²+3x+1,find the value of the discrimination

Rufina [12.5K]

Answer:

Step-by-step explanation:

a = 3

b = 3

c = 1

Discriminate = sqrt(b^2 - 4ac)

Discriminate = sqrt(9 - 4*3*1)

Discriminate = sqrt(9 - 12)

Discriminate = sqrt(-3)

What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.

You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.

5 0

3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Marta_Voda [28]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

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 "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

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 for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

7 0

3 years ago

Read 2 more answers

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST

MaRussiya [10]

Answer: 6773.27

Step-by-step explanation: volume formula for the cone is pie(radius)^2(height/3) just plug in your information into the formula and viola

6 0

3 years ago

On a number line, Karlie has to divide the space between —5 and —3 into five smaller, equal spaces. On what numbers does Karlie

Dafna1 [17]

Answer:

{-4.6, -4.2, -3.8, -3.4}

Step-by-step explanation:

The length of the space Karlie is dividing is -3-(-5) = 2 units. Then the length of each of those equal 5 spaces will be 2/5 units = 0.4 units.

Each mark on the number line is 0.4 units to the right of the previous one. The first (left-most) mark is 0.4 units to the right of -5, so is at -5+0.4 = -4.6.

The marks have to be placed at -4.6, -4.2, -3.8, and -3.4.

3 0

3 years ago

The sum of two polynomials is -yz to the second power-3z to the second power-4y+4. If one of the polynomials is y-4yz to the sec

balu736 [363]

Answer:

- 5yz^2 - 3z^2 - 5y + 7

Step-by-step explanation:

The polynomial is:

$-yz^2-3z^2-4y+4$ ( 1 )

this polynomial is the result of the sum of two polynomials, one of them given by

$y-4yz^2-3$ ( 2 )

if you find to know what is the other polynomial, you can take the difference between the polynomial (1) and (2). It is necessary to take the difference between simmilar terms, as follow:

- yz^2 - 3z^2 - 4y + 4

- (4yz^2 + y - 3 )

- yz^2 - 3z^2 - 4y + 4

- 4yz^2 - y + 3

- 5yz^2 - 3z^2 - 5y + 7

hence the other polynomial is - 5yz^2 - 3z^2 - 5y + 7

5 0

3 years ago