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 =
<span>3 ∙ 2x = 6x
so </span><span>coefficient = 6
</span>
hope it helps
Answer:
The price of the jacket was $31.43
Step-by-step explanation:
Let the cost of a jacket = x
Let the cost of a pair of pants = y
Such that,
x + y = $66.12.........Equation 1.
From the conditional statement,
x = y - $3.26..........Equation 2.
Solve both equations simultaneously, using the substitution method
From Equation 2;
x = y - 3.26
Substitute y - 3.26 for x in Equation 1.
x + y = 66.12, now becomes,
y - 3.26 + y = 66.12
collect like terms
y + y = 66.12 + 3.26
2y = 69.36
y= 69.36/2 = $34.69.
Put y = $34.69 in Equation 2. to obtain x
x = 34.69 - 3.26
x = $31.43
Answer:
$500
Step-by-step explanation:
He started off with $282
then bought concert tickets for $85 : 282-85=197
He has a new balance of $197
He then pays $25 for snacks : 197-25=72
He has a new balance of $72
After, he deposits $328 : 72+328=500
He has a new account balance of $500
