Answer:
1
m = ---
12
Step-by-step explanation:
The formula is y2-y1
---------
x2-x1
(x1,y1) (x2,y2)
(3,-5) (-9,-6)
You get the 2 Y's and subtract them
Do the same with the X's
Y's above , X's below
(y2- y1)
⬇
-6-(-5) -1 1
--------- = ---- = ---- = m
-9-(3) -12 12
⬆
(×2- x1)
This equation is backwards, thats why it was harder to understand. (-9,-6) is farther left and below point (3,-5), making it the REAL first point in the equation.
Answer: $7
Step-by-step explanation:
Let x = Cost of each T-shirt.
As per given,
Total charge =( Number of t shirts x Cost per t shirt )+ set up fee
For 21 T-shirts , total charge would be : 21x+40
According to the question
⇒21x+40=187
⇒21x = 187-40
⇒21x = 147
⇒x= 7
Hence, each T-shirt costs $7 .
Answer:
a. 7/22
b. 28/33
c. 7/22
d. dependent events
Step-by-step explanation:
The total number of cards is given as 7 + 5 = 12.
The probability if a card being green on the first pick, P(G) = 7/12
The probability of a card being yellow on the first pick, P(Y) = 5/12
Because there is no replacement, the card are going to be short by one card. Therefore, the second pick will be like this:
P(GG) = ( 7/12×6/11)
P(GY) = ( 7/12 × 5/11)
P(YG) = ( 5/12×7/11)
P(RR) = ( 5/12 ×4/11)
a. P (G1 and G2) = ( 7/12×6/11)
= 7/22
b. P( At least one is green) = ( 7/12×6/11) + ( 7/12 × 5/11) + ( 5/12×7/11)
= 28/33
c. P(G2G1) = 7/22
d. the events are dependent. They do not give the same result.
This can be solved by using the 30 60 90 triangle. The 30-60 side is equal to 2x, here it is 2x=18. The 60-90 side is equal to x. So this side is 18/2=9. The 30-90 side is by the way equal to the root of x, so here the root of 18
