C. y < = x - 2
y < = -3x - 6
4*72=288 is the first step you do. I then decided to do 72/4 which is 18 to get the inside number. 4(18*1) is what I got finally because when you do distributive property 4*18=72 and 481=4. Once all of that is done, you come right back to the same problem you had at first.
Answer: Sample IQR appears to be a biased estimator since it consistently underestimated the population IQR.
Step-by-step explanation: Checked by Khan Academy
Answer:
5x^4 -37x^3 -6x^2 +41x -6
Step-by-step explanation:
We simplify this expression by removing parentheses and combining like terms. Parentheses are removed using the distributive property.
<h3>Form the product</h3>
The product of the final pair of polynomials in parentheses is ...
(-4x^3 +5x -1)(2x -7) = (-4x^3 +5x -1)(2x) +(-4x^3 +5x -1)(-7)
= -8x^4 +10x^2 -2x +28x^3 -35x +7
= -8x^4 +28x^3 +10x^2 -37x +7
<h3>Combine with remaining sums</h3>
= (5x^4 -9x^3 +7x -1) + (-8x^4 +4x^2 -3x +2) - (-8x^4 +28x^3 +10x^2 -37x +7)
= (5 -8 -(-8))x^4 +(-9 -28)x^3 +(4 -10)x^2 +(7 -3 -(-37))x +(-1 +2 -7)
= 5x^4 -37x^3 -6x^2 +41x -6
Let the number of Matinee tickets be x
Let the number of evening tickets be y
Number of sold tickets = 63, this means that: x+y = 63 ......> equation I
Price of matinee ticket = 10 and price of evening tickets = 14
Total money collected = 742, this means that 10x + 14y = 742 .....> equation II
From equation I: x = 63 - y .........> equation III
Substitute by equation III in equation II:
10(63-y) + 14y = 742
630 - 10y + 14y = 742
4y = 742 - 630 = 112
y = 112/4 = 28
Substitute by the value of y is equation III:
x = 63-28 = 35
Based on the above calculations:
number of matinee tickets = x = 35 tickets
number of evening tickets = y = 28 tickets
