Answer:
C. 40
Step-by-step explanation:
There are <em>3</em> <em>sectors</em> that are labeled five, which is <em>out of 12</em>. So the <em>chance of landing on one of it is 3/12, or 1/4</em>.
So, a reasonable estimate is that <em>out of 150 spins, 1/4 of them will land on five</em>. The number of spins can be found out by <em>multiplying 150 by 1/4</em>. 150 * 1/4 is equal to <em>37.5</em>, which is about 40.
Answer:
Option D is correct.
FE = 13 units
Step-by-step explanation:
As per the statement: F is the midpoint of AB and E is the midpoint of AC.
If
and
By midpoint theorem of line states that the points on a line segment equally distant from the two endpoints.
Then, by midpoint theorem of line we have;

Substitute the given values we have;

Multiply both sides by 2 we getl;

Using distributive property:

2x + 10 = 3x+ 2
Subtract 2 from both sides we get;
2x + 8 = 3x
Subtract 2x from both sides we have;
8 = x
or
x =8 units.
We have to find the value of FE.
FE = x +5 = 8+5 =13 units
Therefore, the value of FE is, 13
Answer:
<em>1/4</em>
Step-by-step explanation:
Flip a fair two sided coin 4 times, the probability the first or last flip is a tail is
P = (1/2) x 1 x 1 x (1/2) = 1/4
(The probability of getting tail in first flip = 1/2, in the 2nd and 3rd flip, tail and head are both accepted, the probability of getting tail in last flip = 1/2)
Hope this helps!
Replace f(x) with y
switch x and y
solve for y
replace y with g(x)
y=1/3x+2
x=1/3y+2
x-2=1/3y
3x-6=y
g(x)=3x-6
f(g(x)) should have the same result as g(f(x)) which should be x
f(g(x))=1/3(3x-6)+2=x-2+2=x
g(f(x))=3(1/3x+2)-6=x+6-6=x
the inverse is g(x)=3x-6