Answer:
a. -3.78x-0.84
Step-by-step explanation:
To simplify, combine like terms. Because you're just adding them you don't have to change any signs. Add/subtract the terms with an x, that will give you your first number, then add/subtract the terms without an x to get your second number.
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Ratio
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3 : 1
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Find total parts
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3 + 1 = 4
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Split the 32 according to the parts
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4 parts = 32
1 part = 32 ÷ 4
1 part = 8
3 part = 8 x 3 = 24
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Split the 32 into the ratio
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24 : 8
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Answer: 24 : 8
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A parallelogram has 4 sides, 2 of them are parallel to each other along with the others.
You can see how far (from the middle of the quadrilateral) is one end of the line and then indicate how far the other end is. If those numbers are equal to the other lines distance then they are parallel
Answer:
45a + 32c
Step-by-step explanation:
a tickets at $45 per ticket cost 45a
c tickets at $32 per ticket cost 32c
The total cost is
45a + 32c
Answer:
a. 0.38%
b. 266.75 days
Step-by-step explanation:
We have the following data, mean (m) 269 and standard deviation (sd) 15, therefore:
a. The first thing is to calculate the number z:
z (x) = (x - m) / sd
z (309) = (309-269) / 15 = 2.67
When looking in the normal distribution table (attached), we have that at this value of z, the probability is:
P (z> 2.67), that is to say we must look in the table -2.67 and this value corresponds to 0.0038, that is to say 0.38%
b. Find the z-value with a left tail of 44%, i.e. 0.44. We look in the table for this value and what value of z corresponds.
invNorm (0.44) = -0.15
Find the corresponding number of days:
x = z * sd + m
we replace
d = -0.15 * 15 + 269 = 266.75 days