#1
The uniforms are numbered 0, 1, 2, ..., 99. That's 100 numbers. Half of them are odd and half of them are even. So the probability that any one of the uniforms is odd is 1/2 just like the probability that any one uniform is even is 1/2.
(a) The numbers on the uniforms are independent of one another. That is, the number of her cross-country uniform does not in any way determine the number on her basketball uniform and vice versa. This means that we can find the probability that each is odd and multiply these together using what is called the counting principle. The probability that all are odd is:
(1/2)(1/2)(1/2)=1/8
(b) This is done the same way we did part (a). Since the probability of any one uniform being odd is the same as it being even (1/2), the answer here is the same: (1/2)(1/2)(1/2)=1/8
(c) This problem differs from that in (a) and (b). There is only one way for all three uniforms to be odd numbers: (odd, odd, odd) or all even (even, even, even). However, there are multiple ways for the uniforms to be two odd and one even. If the uniforms are listed in order: cross-country, basketball, softball we can get exactly one even in any of three ways:
even, odd, odd
odd, even, odd
odd, odd, even
The probability for any one of these possibilities is (1/2)(1/2)(1/2)=1/8 but since there are three way the probability that we get even exactly once is equal to (3)(1/8) = 3/8
This question is unclear, I don't understand and it doesn't ask the question.
Answers:
Step-by-step explanation:
Our equation is: 
With f meaning "fare" (price) and m meaning "miles".
Question 7 - Juan's fare for his ride costs $6.05. We must solve for 
.
Step 1. Substitute - <em>Substitute the fare for 
in the equation.</em>
Step 2. Simplify/Solve - Solve for .
<em>- Distribute</em>
<em>- Subtract 0.2 from 2.25</em>
<em>- Subtract -2.05 from 6.05</em>
<em>- Divide both sides by 0.2</em>
<u>And you have your answer of 20 miles.</u>
Question 8 - Same equation, different fare.
Step 1. Substitute
Step 2. Solve
And like so, we have 
<em>The equation given is 
. S = typing speed, w = words per 5 mins, and e= errors.</em>
Question 9 -
<em>We are given this information: S = 55, W = 285. We are solving for e</em>.
Substitute -
Solve -
So they would make 1 error.
Question 10 -
<em>Information given: 300 = w, 5=e. We are solving for S</em>
Substitute -
Solve -
Their speed is 50.
Question 11 -
<em>Information given: S = 65, e = 4. We are solving for w.</em>
Substitute -
Solve -
So w = 365.
