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saul85 [17]
3 years ago
7

The domain of a function f(x) is x>_ 0, and the range is y<_ -1. What are the domain and range of its inverse function, f'

(x)?​
Mathematics
1 answer:
SashulF [63]3 years ago
5 0

Answer:

Domain of inverse: x \le -1

Range of inverse: y \ge 0

Explanation:

The domain and range swap. This is because the inputs (x) and outputs (y) swap roles when going from the original function to the inverse, and vice versa.

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Nolan begins to find the mean absolute deviation of a data set. he finds the mean of the data and then finds the distance betwee
vfiekz [6]

The next step Nolan should take is to find the average of the distances from the mean.

<h3>What is meant by mean absolute deviation?</h3>

A measure of variance in a data set is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.

The steps to find mean absolute deviation are:

  • Calculate the mean of the data set
  • Calculate the value of distance between the mean and each point in the data set.
  • Find the average of the distances from the mean.

Hence, The next step Nolan should take is to find the average of the distances from the mean.

Learn more about mean on:

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7 0
2 years ago
What is the formula for exponential functions?
s344n2d4d5 [400]
The formula for exponential functions is:
y = ab^x
4 0
3 years ago
Need help please anybody
shepuryov [24]
The answer is 75
Explanation: 180 - 75 - 60 = 75
I sure this is true
4 0
3 years ago
Heated-treated parts are specified to have a hardness of at least 45 (lower specification limit). Any parts that are below 45 ar
Nataly_w [17]

Answer:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(z

The figure shows the calculation for this case.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the hardness of a population, and for this case we know the distribution for X is given by:

X \sim N(48.5,2)  

Where \mu=48.5 and \sigma=2

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(z

The figure shows the calculation for this case.

5 0
3 years ago
I need help with these three problems please​
Liono4ka [1.6K]

Answer:

Q7. 11.3 inches (3 s.f.)

Q8. 96.2 ft

Q9. 36.4cm

Step-by-step explanation:

Q7. Please see attached picture for full solution.

Q8. Let the length of a side of the square be x ft.

Applying Pythagoras' Theorem,

34^{2}  =  {x}^{2}  +  {x}^{2}  \\ 2 {x}^{2}  = 1156 \\  {x}^{2}  = 1156 \div 2 \\  {x}^{2}  = 578 \\ x =  \sqrt{578}  \\

Thus, the perimeter of the square is

= 4( \sqrt{578} ) \\  = 96.2 ft\:  \:  \: (3 \: s.f.)

Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.

Since the perimeter of the equilateral triangle is 126cm,

length of each side= 126÷3 = 42 cm

The green line drawn in picture 3 is the altitude of the triangle.

Let the altitude of the triangle be x cm.

sin 60°= \frac{x}{42}

\frac{ \sqrt{3} }{2}  =  \frac{x}{42}  \\ x =  \frac{ \sqrt{3} }{2}  \times 42 \\ x = 21 \sqrt{3}  \\ x = 36.4

(to 3 s.f.)

Therefore, the length of the altitude of the triangle is 36.4cm.

4 0
3 years ago
Read 2 more answers
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