The shortest height at which the two stacks will be same is 72 inches.
Step-by-step explanation:
Given,
Boxes that are 18 inches tall are being stacked next to boxes that are 24 inches tall.
It means that we will find least common factor of both the boxes;
18 = 2*3*3
24 = 2*2*2*3
LCM = 2*2*2*3*3 = 72
The least common multiple of 18 and 24 is 72, therefore,
The shortest height at which the two stacks will be same is 72 inches.
Keywords: LCM, multiplication
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Answer:
84.3211111111/ 84.32/ 84.3
Step-by-step explanation:
In order to find range, you have to add all the numbers up and then divide by the amount of numbers that you have. So, you'd do 90.89+ 87+ 79+ 89+ 84+ 80+ 85+ 85+ 79= 758.89. Then, since you have nine numbers, you'd divide 758.89 by nine, which equals 84.3211111111, and is rounded to 84.32, or 84.3.
Answer:
option A: 0.2357
Step-by-step explanation:
P( less than 1.76 or greater than 2.39) = P(X < 1.76) + P( X > 2.39)
P(X < 1.76) = 0.0126 (as per the excel output)
P(X < 2.39) = 0.7769
Hence P( X> 2.39) = 1- 0.7769 = 0.223
P( less than 1.76 or greater than 2.39) = P(X < 1.76) + P( X > 2.39) = 0.0126 + 0.223 = 0.2357
P( less than 1.76 or greater than 2.39) = 0.2357
<h3>
Answer: Choice F) 1</h3>
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Explanation:
x^2+8x+7 factors to (x+1)(x+7)
x^2+4x-21 factors to (x-3)(x+7)
Therefore, the numerator (x^2+8x+7)(x-3) updates to (x+1)(x+7)(x-3)
The denominator (x^2+4x-21)(x+1) updates to (x-3)(x+7)(x+1)
We have three pairs of terms that will cancel between the numerator and denominator. The (x+1) terms pair up and cancel out, so do the (x+7) terms and also the (x-3) terms as well. Everything cancels out. The only thing left is 1 because x/x = 1 where x is nonzero. We can have a more complicated expression replace x to get the same basic idea. This is what I mean by "canceling".
