Answer:
Sorry But You cannot simplify this. Please make sure you have check your question.
Step-by-step explanation:
First, assign variables:X = # of $24 tickets, Y = # or $40 tickets write equations based on the data presented: "6000 seat theater..." <span> X + Y = 6000</span> <<equation 1>> "total revenue of 176,000"The revenue from each type of ticket is the cost times the number sold, so: <span> 24X + 40Y = 176,000</span> <<equation 2>> from equation 1: X = 6000 - Ysubstitute this into equation 2: (replace X with 6000-Y) 24 (6000 - Y) + 40Y = 176,000expand: 144,000 -24Y + 40Y = 176,000rearrange and simplify: 16Y = 32,000 Y = 2,000from equation 1: X = 4,000 Check by plugging into equation #2 I don't see a way to get to "13Y = 19,500"
The probability is 0.1253.
This is binomial because 1) there are two outcomes (either do or do not use in class); 2) the events are independent of each other (the probability of one person using a phone in class does not affect the probability of another person doing this); and 3) there is a fixed number of trials (9).
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2 #'s whose sum is 51: x + y = 51
2 #'s whose difference is 13: x - y = 13
add the 2 equations: 2x = 64 ⇒ x = 32
using either equation find y: 32 + y = 51 ⇒ y = 19
Answer the 2 #'s are 32 and 19
The sides of the rectangle are aligned with the coordinate axes, so the dimensions of the rectangle are easily determined to be 4 -(-7) = 11 units by 1 -(-1) = 2 units. As with any rectangle, the area is the product of length and width.
The area is 11*2 = 22 square units.