Answer:
D.
Step-by-step explanation:
Answer:
"Spin the spinner 5 times with 4 equal segments. One of the segment represents vanilla on either the spinner as well as three parts reflect certain flavors" would be the right answer.
Step-by-step explanation:
The actual probability of the given scenario will be:
⇒ 
⇒ 
⇒ 
On solving the power, we get
⇒ 
Now on multiplying the above value in 100, we get
⇒
%
Approximately 23.73% chance vanilla was not chosen by either of the five. So that the above is the right answer.
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y on the vertical axis) / (change in the value of x on the horizontal axis)
The equation of the given line is
9x+7y=4
7y = 4 - 9x = -9x + 4
y = -9x/7 + 4/7
Comparing with the slope intercept form, slope = -9/7
If the line passing through the given point is perpendicular to the given line, it means that its slope is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (7,-4) is 7/9
To determine the intercept, we would substitute m = 7/9, x = 7 and y = - 4 into y = mx + c. It becomes
- 4 = 7/9×7 + c = 49/9 + c
c = - 4 - 49/9
c = - 85/9
The equation becomes
y = 7x/9 - 85/9
Answer:
f(g(x))(-1) = 0
Step-by-step explanation:
Step 1: Find f(g(x))
5(x + 3) - 10
5x + 15 - 10
5x + 5
Step 2: Plug in -1
5(-1) + 5
-5 + 5
0