Graph the line containing the point P and having slope m. P=(1,8); m=0

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

8 0

The slope is 0 so it's a horizontal line parallel to the x-axis. All the values of y are the same. The line passes through the point (1,8), so y=8.

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Solve for x- <br> 6x^2 + 36x + 54 = 0

lions [1.4K]

Answer:

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Step-by-step explanation:

$6x^2+36x+54=0$

First, you can factor out a 6:

$6(x^2+6x+9)=0$

Next, you can factor the quadratic:

$6(x+3)^2=0$

Since the only value of x that could set this equation equal to 0 is -3, that is the answer. Hope this helps!

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3 years ago

student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te

alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = $\frac{1}{4}$ .

Thus, the probability that the student does not receive version A = $1-\frac{1}{4}$ = $\frac{3}{4}$ .

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

$\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}$