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Sphinxa [80]
3 years ago
7

Analyzing Graphs of Functions Which graph shows a function where f(2) = 4?

Mathematics
1 answer:
professor190 [17]3 years ago
6 0

Answer:

the first one

Step-by-step explanation:

check which graph passes through the point (2,4)

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Is -12 an irrational or rational number
Orlov [11]
-12 is a Irrational number
4 0
3 years ago
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Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 < Y ≤ k) = 0.1546. (Round your answer
IgorLugansk [536]

Transform <em>Y</em> to <em>Z</em>, which is distributed N(0, 1), using the formula

<em>Y</em> = <em>µ</em> + <em>σZ</em>

where <em>µ</em> = -16 and <em>σ</em> = 1.21.

Pr[-15.043 < <em>Y</em> ≤ <em>k</em>] = 0.1546

Pr[(-15.043 + 16)/1.21 < (<em>Y</em> + 16)/1.21 ≤ (<em>k</em> + 16)/1.21] = 0.1546

Pr[0.791 < <em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] - Pr[<em>Z</em> < 0.791] = 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] = 0.1546 + Pr[<em>Z</em> < 0.791]

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546 + 0.786

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (<em>Φ(x)</em> denotes the CDF itself):

(<em>k</em> + 16)/1.21 ≈ <em>Φ⁻¹</em> (0.940) ≈ 1.556

Solve for <em>k</em> :

<em>k</em> + 16 = 1.21 • 1.556

<em>k</em> ≈ -14.118

8 0
3 years ago
Find the median<br> 5 12 18 7 24 16​
brilliants [131]
5 7 12 16 18 24 12 and 16 are in the middle. Add 12 and 16 and then divide by 2 (28/2)= 14
5 0
3 years ago
How many solutions does the nonlinear system of equations graphed below have?
NeTakaya

Answer:

Three solutions.

Step-by-step explanation:

In order to solve system of equations by graphical method, we graph the system of equations. The intersection point (s) of the two graph would give us the solution.

If the graph of the equations intersect at 2 points then there will be 2 solutions, if there are 4 intersection then there would be 4 solutions and so on.

For the given graph, we  can see that there are three intersection points.

Hence, there would be three solutions.

3 0
3 years ago
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Find the restricted values of x for 2/12x
maw [93]

Answer:

The restricted value is x=0

Step-by-step explanation:

We have been given the expression \frac{2}{12x}

This is a rational function. We know that the rational expression is undefined if denominator is zero.

Here, we will use this fact to find the restricted value (s) of \frac{2}{12x}.

Restricted values means the values for which the function is not defined.

The given function is not defined if the denominator is zero.

12x =0

x =0

Hence, the restricted value is x=0

3 0
3 years ago
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