<span>We convert the sentences to mathematical expressions as follows
"</span>Four times the sum of the least and greatest integers" : 4[n+(n+2)]
"is 12 less than three times the least integer": = 3n-12
So we have:
4[n+(n+2)]=3n-12 (this is the equation)
4[2n+2]=3n-12
8n+8=3n-12
8n-3n=-12-8
5n=-20
n=-20/5=-4
Answer: the equation is 4[n+(n+2)]=3n-12 , the least integer is -4
So , correct option is <u>A</u><u> </u>
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Answer: 40.13% of the soda bottles will have a volume less than 32 oz.
First, we need to find the z-score. That is the number of standard deviations below the mean.
(32 - 32.3) / 1.2 = -0.25
A bottle of 32 oz is -0.25 standard deviations below the mean. Use a standard normal distribution probability table and you will find the 40.13% of the scores are below a z-score of -0.25.
Answer:
B. A one-to-one relation between x and y
Step-by-step explanation:
Answer:
Hello there! How are you doing? I am doing fine! I'll answer the question now.
So basically, to find a missing side length of a triangle you have to use Pythagorean theorem, which is A^2 + B^2 = C^2. Plug in 11^2 and 9^ = C^2 since we need to find the side length of C. 11 squared is 121 and 9 squared is 81, so you're left with, 121 + 81 = C^2. You are then left with, after adding, 102 = C^2. You then would take the square root of 202 and get 14.20 as the length of C. Now it is closet to 15 cm, so we can assume that side length of side C, would be indeed 15 cm, not 20 cm.
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Step-by-step explanation: