Answer:
2226
Step-by-step explanation:
13/ 52 = 1/4 chances.
There are 13 spades and 52 cards. You divide the spades and cards in the deck to find your chances of drawing one.
You have a 25% chance of getting a spade.
Now you put it back. Since you put it back, you still have the same number of cards and the same number of spades. So when you divide 13/52 again, the numbers are still the same. 1/4. 25% chance.
So, you still have a 25% chance the second time around.
Answer:
![\frac{1}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7%7D)
Step-by-step explanation:
The slope of the line joining the 2 points is a measure of the average rate of change.
Calculate slope m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 3, - 2)
m =
=
=
← average rate of change
Answer:
y-5=-2/3(x-(-7))
Step-by-step explanation:
I just learned this recently as well so bare with me.
So the point slope form is y-y1=m(x-x1)
So first we have to find the slope. So we do 5-(-1)/-7-1=-6/8=-3/4
So now, we just have to plug in the numbers.
So y-5=-2/3(x-(-7)).
I know that looks a little funky but if you used the slope intercept form, you would get the same answer if you just simplified this version. Of course, you don't have to simplify this version because this version is completely acceptable.
I hope this helped.
Answer:
No, Angela is not correct.
As the method Jim was performing will also lead to the solution.
Step-by-step explanation:
We are given first equation as:
Ax + By = C
Second equation is:
Dx + Ey = F
Jim solved the equation as:
He begins by multiplying equation (1) by D and equation (2) by A.
and so by subtracting both the equations he will obtain a value of y.
and then put the y-value in any of the given two equations to obtain the value of x.
Angela Method:
you should have multiplied equation (1) by E and equation (2) by B.
and when she will subtract both the equations she will get the value of x first and then when she will put the value of x in any of the given equation she will obtain the value of y.
But both will get a value for x and y.
Hence, the method Jim was performing was also correct.