Answer:
8763
Step-by-step explanation:
Let x represent the number of students the college had last year. Then this year's enrollment is ...
... x - 3%·x = 8500
... x(1 - 0.03) = 8500 . . . . . collect terms
... x = 8500/0.97 ≈ 8762.89 . . . . divide by the coefficient of x
Enrollment last year was about 8763.
_____
Of course, you know 3% = 3/100 = 0.03.
Answer:
The objective of the problem is obtained below:
From the information, an urn consists of, 4 black, 2 orange balls and 8 white.
The person loses $1 for each white ball selected, no money is lost or gained for any orange balls picked and win $2 for each black ball selected. Let the random variable X denotes the winnings.
No winnings probability= 0.011
Probability of winning $1=0.3516
Probability of winning $2= 0.0879
Probability of winning $4= 0.0659
Answer:
Step-by-step explanation:
<u>We know that:</u>
<u>Let's first solve for y by choosing any equation.</u>
- 4x + y = 14
- => y = 14 - 4x
<u>Now, let's substitute the value of y into the second equation.</u>
- 6x - 3y = 3
- => 6x - 3(14 - 4x) = 3
- => 6x - 42 + 12x = 3
- => 18x - 42 = 3
- => 18x = 42 + 3
- => 18x = 45
- => x = 45/18 = 5/2 = 2.5
<u>Now, let's substitute the value of x into the equation of y.</u>
- => 14 - 4x = y
- => 14 - 4(2.5) = y
- => 14 - 10 = y
- => y = 4
Hence, the value of x and y are 2.5 and 4 respectively.
Answer:
80
Step-by-step explanation:
