We'll use the slope-intercept form y = mx + b. Where m is the slope and b is the y-intercept.

We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b

To find the y-intercept, plug in the ordered pair that the question gave us into our equation and solve for b.

7 = (-1/5)(-3) + b
7 = 0.6 + b
6.4 = b
b = 6 2/5

So, the y-intercept will be at 6 2/5.

4 0

3 years ago

There are 100 tiles in a word game, and 2 of the tiles are blank. Kiera draws 6 tiles, and none of them are blank.

Kay [80]

Answer:

$\frac{1}{47}$ or around 2%

Step-by-step explanation:

So we need to see how many tiles are left.

100 - 6 = 94

So we have 94 tiles. 2 of them are blank, so the chance of one being blank is:

2 / 94 which is $\frac{1}{47}$

And that is our answer! Hopefully this helps, have a nice day :D

7 0

3 years ago

P is the set of natural numbers that are less than 12

Damm [24]

Answer:

{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 }

Step-by-step explanation:

As per the definition, a natural number is a counting number (non-fractional number) that is greater than zero, but not equal to zero.

A set of natural numbers below 12 (but not including 12, because such isn't specified) would henceforth be;

{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 }

4 0

3 years ago