the probability of the event choosing a yellow marble is 2/9 .
<u>Step-by-step explanation:</u>
Here we have , to choose a marble from a jar. The jar contains 4 red
marbles, 10 blue marbles, 7 green marbles, and 6 yellow marbles. We need to Find the probability of the event choosing a yellow marble . Let's find out:
According to question question we have following parameters as :
Red marbles = 4
Blue marbles =10
Green marbles = 7
Yellow marbles = 6
Now , Probability to chose a yellow marble is :
Favorable outcomes = 6(Number of yellow marbles )
Total outcomes = 4+10+7+6 = 27( Total marbles )
Hence ,
⇒ 
⇒ 
Therefore , the probability of the event choosing a yellow marble is 2/9 .
Answer: y = 0.75x + 80
Step-by-step explanation:
let x = 1 mile
y = 0.75x + 80
Answer:
C. 15 units,
Step-by-step explanation:
The y coordinates are both 39 so the line joining the 2 points is a horizontal line.
Distance = 18-3 = 15.
Answer:
a) 
b) The lowest point of
,
is when x = 
Step-by-step explanation:
a) To simplify the expression
you must:
Apply Difference of Two Squares Formula: 



Apply the Pythagorean Identity 
From the Pythagorean Identity, we know that 
Therefore,
![324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325](https://tex.z-dn.net/?f=324%5B-%5Ctan%20%5E2%5Cleft%28x%5Cright%29%2B%5Csec%20%5E2%5Cleft%28x%5Cright%29%29%5D%5C%5C324%5B%2B1%5D%5C%5C325)
b) According with the below graph, the lowest point of
,
is when x = 
Step-by-step explanation:
- 2x-2y=-6
3x+4y=8
multiply equation (1) by 3 and equation (2) by 2
- 6x-6y=18
6x+8y=16
Add
2y=34
y= 34÷2
y=17
substitute 17 for y in equation (2)
3x+4y=8
3x+4(17)=8
3x+68=8
3x=8-68
3x=-60
x=-60÷3
x=-20
x=-20,y=17