Answer:
7 monkeys
Step-by-step explanation:
Answer:
76
Step-by-step explanation:
given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0
then the discriminant is Δ = b² - 4ac
given 3x² - 10x = - 2 ( add 2 to both sides )
3x² - 10x + 2 = 0 ← in standard form
with a = 3, b = - 10 and c = 2
b² - 4ac = (- 10)² - (4 × 3 × 2) = 100 - 24 = 76
15.87% of the population does not meet the minimum standards.
We use z-scores to find this probability:
z=(X-μ)/σ = (85-100)/15 = -15/15 = -1
Using a z-table (http://www.-table.com) we see that the area to the left of, less than, this is 0.1587. This is 15.87%.
Answer:
x= negative 1 and 2/5 y=1 and 3/5
Step-by-step explanation:
1. Start by putting both equations into slope-intercept form. (y=mx+b)
-3x+3y=9
-3x+3x+3y=9+3x
3y=9+3x
3y/3=9+3x/3
y=3+x
2x-7y=-14
2x-2x-7y=-14-2x
-7y=-14-2x
-7y/-7=-14/-7-2x/-7
y=2+2/7x
2. Graph the equations and find where they intercept.
We can say that exchanging one couple's ticket for an individual's ticket would increase the money in the cash box from 200 to 202 and it would result in an even number of couples tickets sold.
<u>Step-by-step explanation:</u>
Let the number of tickets sold to the individuals = s
Let the number of tickets sold to the couples = c
According to the question,
s + c = 46 ( Equation 1)
Since each individual's ticket is $6, the total amount of money made by selling tickets to individuals is 6s.
Similarly, since each ticket sold to couples is $8, the total amount of money made by selling tickets to couples is 8c.
So,
6 s + 8 c = 200 ( Equation 2)
On solving both the equations, we get
c = 38 and s = 8
Therefore, 8 tickets were sold to individuals and 38 tickets were sold to the couples.
