Answer:
f(x) = 3(2)^x
Step-by-step explanation:
The Table is:
<u>x</u> <u>f(x)</u>
-2 3/4
-1 3/2
0 3
1 6
2 12
The exponential funtion has the next form:
f(x) = a(b)^x
At x = 0, f(x) = a. Then, a = 3
Isolating b from the equation:
f(x)/a = b^x
ln(f(x)/a) = x*ln(b)
[ln(f(x)/a)]/x = ln(b)
At x = 1, f(x) = 6. Then:
[ln(6/3)]/1 = ln(b)
ln(2) = ln(b)
2 = b
Therefore, the function is f(x) = 3(2)^x
Answer:
Step-by-step explanation:
x, height of men is N(69, 2.8)
Sample size n =150
Hence sample std dev = 
Hence Z score = 
A) Prob that a random man from 150 can fit without bending
= P(X<78) = P(Z<3.214)=1.0000
B) n =75
Sample std dev = 
P(X bar <72) = P(Z<9.28) = 1.00
C) Prob of B is more relevent because average male passengers would be more relevant than a single person
(D) The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height.
1+7 and 7+1 are the same equations. The numbers are just switched around .
Example:
1+2=3
2+1+3
<span>They add up to the same answer no matter where they are placed, therefore knowing 1+7 helps you find the sum of 7+1 (again, because they are the same) </span>
<span>The expression 4x, gives the perimeter of a square with a side length of x units.
</span><span> the perimeter of a square with a side length of x=5/7 is
4(5/7)=20/7=2.86
</span> the perimeter of a square is
2.86