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Ganezh [65]
3 years ago
11

For each value of y, determine whether it is a solution to -4+5y<_-39

Mathematics
1 answer:
Vlad [161]3 years ago
3 0

Answer:

-7 and -10 are solutions, 5 and 0 aren't

Step-by-step explanation:

For the inequality, -4 + 5y will have to be less than or equal to -39. So, y would have to be a negative number. That would remove 5 as a possible solution.

Next, we can calculate the solution for others. For 0, we can multiply it by 5 and get 0. Then, add it to -4 which would get us -4. This is greater than -39 so 0 isn't a solution.

If we solve for -7, we'll get: -4 + 5(-7) -> -4 - 35 -> -39. This is equal to -39 so it is a solution. If we solve for -10, we get: -4 + 5(-10) -> -4 - 50 -> -54. This is less than -39 so it is a solution.

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Answer:

Step-by-step explanation:

if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.

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3 years ago
An engineer spends 30% of the time at home and 40% at work, 6 mi away. The remaining 30% is spent commuting between home and wor
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Answer:

1

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

The time commuting between home and work is 6mi

Probability (the engineer is at least 2mi from home) means that the engineer is either 2mi from home or more than 2mi from home

Probability (the engineer is 2mi from home) = 2/6

Probability (the engineer is more than 2mi from home) = 1 - 2/6 = (6-2)/6 = 4/6

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3 years ago
Energy and mass are related by the formula E = mc^2
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
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In the United States the ages 13 to 55+ of smartphone users approximately follow a normal distribution with approximate mean and
andrezito [222]

Answer:

P ( 23 < X < 64.7 ) = P ( -1 < Z < 2 ) = 0.8186  

Step-by-step explanation:

Solution:

- Let X be a random variable that denotes the age of people who use smartphones.

- The random variable X follows a normal distribution with parameters mean (u) and standard deviation (s).

-The normal distribution can be expressed as:

                                        X~ N ( u , s^2 )

                                        X~ N ( 36.9 , 13.9^2 )

- The probability that a random smartphone user in the age range 13 to 55+ is between 23 and 64.7 years old can be expressed as:

                                        P ( 23 < X < 64.7 )

- We will compute the Z-score values for the interval:

       P ( 23 < X < 64.7 ) = P ( (x1 - u) / s < Z < (x2 - u) / s )

       P ( 23 < X < 64.7 ) = P ( (23 - 36.9) / 13.9 < Z < (64.7 - 36.9) / 13.9 )    

       P ( 23 < X < 64.7 ) = P ( -1 < Z < 2 )

- We will use Z-table to evaluate:

       P ( 23 < X < 64.7 ) = P ( -1 < Z < 2 ) = 0.8186  

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4 years ago
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What is the value of 3/7x0.1 divided 5/21
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Answer:

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Step-by-step explanation:

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