Answer:
0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Step-by-step explanation:
The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.
Uniform distribution:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:

There are 797 identical plastic chips numbered 1 through 797 in a box.
This means that 
What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Answer:
<u>Multiply</u> <u>3</u> on both sides.
Step-by-step explanation:
Subtract 22 on both sides so that the positive 22 can be canceled out and that the variable and one other number is left.


You should then get this equation:

Since there is division involved in
, multiply both sides by three (Hint: Opposite of division is multiplication!) so that 3 would cancel out and that only the variable f is left.
×
× 
You should get this equation now:
× 
Solving it will let you have:

To check if your answer is right, replace the variable f with -15 in
and solve.
There are 7 humans and 15 dogs
7+15= 22 heads
7×2=14 legs for humans
15×4=60 legs for dogs
14+60=74 legs
Answer:
a)
Step-by-step explanation:
Answer:
f(g(x)) = 10x + 7
Step-by-step explanation:
(f . g)(x) = f(g(x)) is the composition of the functions f(x) and g(x).
f(g(x)) means that g(x) becomes the input for f.
Now, f(x) = 2x - 3 and g(x) = 5x + 5.
f(g(x)) = f(5x + 5)
= 2((5x + 5) - 3)
= 10x + 10 - 3
= 10x + 7
f(g(x)) = 10x + 7 is the required answer.