Answer:
21/20
Step-by-step explanation:
a) One hour is equivalent to 60 minutes.
So we can multiply 50 minutes by the fraction 
, so we could convert 50 minutes to hours.
It is:
If we simplify the fraction, we have:
b) In order to express the turtle's speed in miles per hour, we have to divide
by 
So:
We simplify the expression by multiplying 7 mile by 6 and 8 by 5 hours:
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
Answer: 
Step-by-step explanation:
<h3>
The exercise is: " Evaluate 
when 
and 
</h3>
Given the following expression:
You can follow these steps in order to evaluate it:
1. Substitute and into the expression provided in the exercise:
2. Solve the multiplications. Remember that:
Then:
3. Reduce the fraction. Notice that the numerator 6 and the denomiantor 4 can be both divided by 2. Then:
4. Solve the addition:
Since the number 21 has a denominator 1, the Least Common Denominator is:
Then, the sum is:
Answer:
- A.) (3.6, 0.6)
- D.) (2.6, 0.4)
Step-by-step explanation:
See below for a graph.
___
Choices B, C, E can be eliminated on the basis that neither x nor g(x) can be negative. The domain of f(x) is x>0; the range of g(x) is x≥0.
Answer:
the youngest brother is of 2 years and 5 months
if this rule still applies, the next son will be born in 2 months.
Step-by-step explanation:
Given that:
Oldest son= 11 3/4 years old = 11 years 3/4 (12) months = 11 years 9 months
Difference = 2 years 7/12(12) months = 2 years 7 moths
So for finding the age of youngest brother:
Subtract the difference others from age of oldest:
= 11 years 9 months - 4(2 years 7 months)
= 11 years 9 months - 9 years 4 months
= 2 years 5 months
So the youngest brother is of 2 years and 5 months
if this rule still applies, the next son will be born in 2 months.
i hope it will help you!
