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schepotkina [342]
3 years ago
7

How to find the inverse of this function

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0
F^-1(x) = -4 + 2x
Interchange the variables, then solve for y.
You might be interested in
For any set of n measurements, the fraction included in the interval y − ks to y + ks is at least 1 − 1 k2 . This result is know
djverab [1.8K]

Answer:

The interval [2.5, 12.5]

Step-by-step explanation:

<em>Tchebysheff’s Theorem states that for any distribution of probabilities if k ≥ 1, at least  </em>

100(1-\frac{1}{k ^2 })\%

of the data will lie within k standard deviations of the mean.

We need then to find a k greater or equal than 1 such that

100(1-\frac{1}{k ^2 })\%= 75\%

or the equivalent equation

(1-\frac{1}{k ^2 })= 0.75

Finding the value of k

(1-\frac{1}{k ^2 })=0.75\Rightarrow \frac{1}{k^2}=0.25\Rightarrow k^2=\frac{1}{0.25}\Rightarrow k^2=4\Rightarrow k=2

So, applying Tchebysheff’s Theorem, the manager can assure that the number of employees that can be absent in a given day, lies in the interval

[7.5-2*2.5, 7.5+2*2.5] = [2.5, 12.5]

6 0
3 years ago
What is the maximum number of y-intercepts a line can have?<br> I will mark brainliest!
Tamiku [17]

Answer:

one

Step-by-step explanation:

The maximum number of y intercepts a line can have is one

A line can only cross the y axis one time

A line can only cross the x axis one time

Otherwise it is not linear

3 0
3 years ago
At 11 p.M., it was 48°F. The temperature was 6° cooler by 7 a.M. By 11 a.M. The temperature was 48°F again. What integer represe
Anvisha [2.4K]

Answer:

6°F

Step-by-step explanation:

Given that:

Temperature at 11pm = 48°F

Temperature at 7am = 6° cooler

Temperature at 11am = 48°F

Number of degrees temperature changed from 7am to 11 am

Exact temperature at 7am = (temperature at 11 pm - 6°)

= 48°F - 6°F

= 42°F

Temperature change from 7am to 11am

Temperature at 11 am - temperature at 7am

48°F - 42°F

= 6°F

6 0
2 years ago
What is 832.248 rounded to the nearest tenth? A. 830 B. 832.2 C. 832.25 D. 832.3
OleMash [197]
Hi there.

To start, we have to understand where the ten the place is.

Hint: it's 1 place behind the decimal point.

Now we need to know what numbers behind the tenths place make it round up or down.

If the number behind it is 4 or under, round down.

5 & up, round up.

In this case, 830.248 has 2 numbers behind the decimal, so we have to round those THEN the 2 in the tenths place.

830.25 to 830.3

Your answer is D. 830.3

I know this was lengthy, sorry. Just wanted to explain :p
4 0
3 years ago
Which statistic is a measure of how data are dispersed in a population and can be used to give context to larger data sets
OLEGan [10]

Answer:

standard deviation

Step-by-step explanation:

The standard deviation is defined as the measure of how spread out the numbers are in a given population. In other words, statistics refers to the amount of the dispersion or variation of a set of given values.

It is denoted by the Greek letter sigma, σ.

Thus the standard deviation is the measure of how dispersed the data are in the population which can be used to provide context to a larger data sets.

7 0
3 years ago
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