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Orlov [11]
3 years ago
9

How would you write out 'x is not equal to 2 and x is not equal to 7' Algebraically and in Interval Notation?

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0
Algebraically:
x ≠ 2, 7
Interval Notation:
2 ≠ x ≠ 7
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Find an equation for the line passing through the point (6,1) and perpendicular to the line y=4x-2
Murrr4er [49]

Answer:

y = -1/4x + 2.5

or

y = -1/4x + 5/2

Step-by-step explanation:

First we know that a perpendicular line is one that intersects at a 90-degree angle. This is simply the negative inverse of the slope in our case. So, 4 turns into -1/4 and that is our new slope. Next we know that we want it to pass through the point (6,1). Right now our equation is y = -1/4x + b. We can plug (6,1) into this equation and solve.

1 = -1/4(6) + b

1 = -6/4 + b

4/4 + 6/4 = 10/4

10/4 = b

simplify: 5/2 or 2.5 = b

Now we have our y-intercept, so we can complete our equation.

y = -1/4x + 2.5

or

y = -1/4x + 5/2

4 0
2 years ago
A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard
Sedaia [141]

Answer:

The standard deviation reduces when sample size (n) increases

Step-by-step explanation:

From the above information given, we have that mean = 75.5

Standard deviation = 3.5

But Standard deviation = √summation (x-u)/n

This simply implies that when sample (n) is increased there would be a reduction in the standard deviate.

7 0
3 years ago
I need help or the answer​
loris [4]

Answer:

5x+4y = 52

Step-by-step explanation:

We can first write the equation in point slope form

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y - 8 = -5/4 ( x-4)

Multiply each side by 4 to get rid of the fraction

4(y - 8) = 4*(-5/4) ( x-4)

4(y - 8) = -5 ( x-4)

Distribute

4y - 32 = -5x+20

We want the equation in the form

Ax + By = C

Add 5x to each side

5x+4y -32 = -5x+5x+20

Add 32 to each side

5x+4y -32+32 =32+20

5x+4y = 52

4 0
3 years ago
−6p=48<br><br> Help a kid out
Semenov [28]

Answer:

p = -8

Step-by-step explanation:

-6p = 48

divide both sides by -6

p = -8

5 0
2 years ago
If each student gets 65 on the next test, which explains the measure of center that would be most affected?
boyakko [2]

Answer:

Their means will be most affected because this value will be an outlier

Step-by-step explanation

I took the test and 65 is off of the percentage list!

7 0
3 years ago
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