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Nana76 [90]
3 years ago
11

Find the inverse of the given function. (pictured below)

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0

Answer:

4

3

0

Step-by-step explanation:

f(x) = y = -1/2 × sqrt(x+3)

2y = -sqrt(x+3)

4y² = x + 3

x = 4y² - 3

now renaming this, so that the normal symbols and names are used for this function definition, so that the input variable is called "x" :

f-1(x) = 4x² - 3

basically, just by itself, this function would be defined for all possible real values of x.

but because it is the inverse of the original function, which generates only values of y<=0, then for the inverse function that same range applies for its input variable x

x<=0

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The probability of winning a particular game at the Game Place is 14 1/4 . Find the odds against winning the game.
Zinaida [17]
ANSWER

\frac{1}{3}



EXPLANATION

We want to find an odds ratio from a given probability, which is


\frac{1}{4}


We subtract the numerator 1 from the denominator 4 to obtain


4- 1= 3


The answer is the number of unfavorable outcomes. 

The Odds can then be expressed as

1 : 3


The ratio of favourable outcomes to unfavorable outcomes.


Or

\frac{1}{3}




6 0
3 years ago
A researcher is studying the monthly gross incomes of drivers for a ride sharing company. (Gross incomes represent the amount pa
Reptile [31]

Answer:

The histogram of the sample incomes will follow the normal curve.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

In this case the researches wants to determine the monthly gross incomes of drivers for a ride sharing company.

He selects a sample of <em>n</em> = 200 drivers and ask them their monthly salary.

As the sample selected is quite large, i.e. <em>n</em> = 200 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.

Thus, the histogram of the sample incomes will follow the normal curve.

8 0
3 years ago
Lucia has $600 in her checking account. She wants to spend part of this money on a computer. She wants to have exactly $250 left
sesenic [268]

Answer:

t = 350

Step-by-step explanation:

subtract 250 from each side, and then you'll have t = 350

3 0
3 years ago
Read 2 more answers
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
zavuch27 [327]

Answer:

Step-by-step explanation:

Hey B is the correct answer as the x is negative and y is positive

Hope this helps!!!

3 0
3 years ago
Read 2 more answers
The box plot represents the number of minutes customers spend on hold when calling a company.
saveliy_v [14]

Answer:

6

Step-by-step explanation:

By the diagram you can see that the upper quartile is 6. Also this answer was calculated and checked!

4 0
2 years ago
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