Answer:
1/6
Step-by-step explanation:
The number of ways they can line up is 3×2×1 = 6. Only one of these is alphabetical order. The probability that they will line up randomly in alphabetical order is 1/6.
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Any of the three can line up first; either of the remaining two can line up second, and the remaining person can line up last. Thus there are 3×2×1 possible orders.
g(x) = f(x) + n - shift a graph of f(x) n units up
g(x) = f(x) - n - shift a graph of f(x) n units down
g(x) = f(x - n) - shift a graph of f(x) n units right
g(x) = f(x + n) - shift a graph of f(x) n units left
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f(x) = x
g(x) = x + 4 = f(x) + 4
Answer: Shift a graph of f(x) n units up.
Answer:
Shirt: $45 , Tie: $12
Step-by-step explanation:
Let s be the price of the shirt
Let t be the price of the tie
Given the information from the question,
s + t = 57 - Equation 1
s - t = 33 - Equation 2
We will use substitution method to find the prices.
We will rearranging equation 1.
s = 57 - t
We will substitute s into equation 2.
57 - t - t = 33
57 - 2t = 33
-2t = 33 - 57
-2t = -24
t = -24 / -2
= 12
We now substitute t into Equation 1.
s + 12 = 57
s = 57 - 12
= 45
From here we know, the shirt costs $45 and the tie costs $12
y= -3/5x + 1/5
Explanation: First subtract
3x from both sides, and you should have 5y = −3 x +1
. You are almost there to slope-intercept form, the 5y needs to be just
y. Divide by 5 on both sides (Make sure you divide −3x AND 1 by 5!).
Answer:
See attachment.
If altitude = 45 then
side = 2 * height (or altitude) / square root of 3
side = 2 * 45 / 1.7320508076
side = 90 / 1.7320508076
side = 51.9615242271
Step-by-step explanation: