Answer:
<u>Step 1: Set x to -1 in the first equation
</u>
<u>Step 2: Set x to -1 in the second equation
</u>
Answer:
Expected net earning X for this case is 
=$0.6923
Step-by-step explanation:
We need to calculate the probability of the case and multiply by the net earning. The Case is:
<u>the card is a Face card, and the coin lands on Heads</u><u>:</u>
<em>Net earning</em> = 9-3 =6
There are 12 Face Cards in a regular 52-card deck. Then,
<em>Probability of a Face Card</em>= 
<em>Probability that the coin lands on Tails</em> = 
Then <em>total probability of the case</em> is = × =
Expected net earning X for this case is = × 6 =
You need to represent the number of males in terms of females.
Explanation:
Since you know the number of males relative to females, it makes sense to represent the number of females as a variable, let's say f.
So then the number of males is <span>f+240</span> and we know that the number of males plus the number of females is 2500. Knowing this, we can write an equation: <span>f+<span>(f+240)</span>=2500</span>. I put the number of males in brackets there just to make it easy to recognize.
This equation can be condensed into <span>2f+240=2500</span> and then solved:
<span>2f=2500−240</span>
<span>f=<span><span>2500−240</span>2</span></span>
<span>f=1130</span>
Then, we know the number of females, and we can solve for the number of males from here using our male formula: <span>males=f+240</span>. You should then get 1370 as the number of males.
Checking this answer, we see that 1130 + 1370 does equal 2500.
Hope you understand it and see what I did.
