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Pie
3 years ago
6

If events X and Y are independent, what must be true? Check all that apply.

Mathematics
1 answer:
siniylev [52]3 years ago
3 0

Answer:

Step-by-step explanation:

I think this was cut off, the options aren't full.

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The one-to-one functions g and h are defined as follows
Debora [2.8K]

Answer:

g^-^1(x)=-8

h^-^1(x)=\frac{x-4}{3}

(h^-^1 \ o\ h)(-3)=-3

Step-by-step explanation:

When given the following functions,

g=[(-2,-7),(4,6),(6,-8),(7,4)]

h(x)=3x+4

One is asked to find the following,

1. Question 1

g^-^1(4)

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

g^-^1(4)

g(4)=6\\g(6)=-8\\g^-^1(4)=-8

2. Question 2

h^-^1(x)

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)

h^-^1(x)=\frac{x-4}{3}

3. Question 3

(h^-^1 \ o\ h)(-3)

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function (h^-^1) and simplify. Then substitute (-3) into the result.

h^-^1\ o\ h

\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x

Now substitute (-3) in place of (x),

=-3

8 0
3 years ago
Someone pleaseee help I’m struggling
spin [16.1K]

Step-by-step explanation:

(0,5) and (-2,-3)

y=mx+b

find m

\frac{y1 - y2}{x1 - x2}  \\   = \frac{5 -  ( - 3)}{0 - ( - 2)}  \\  =  \frac{8}{2}  \\  = 4 \\

m=4

Substitute (0,5) or (-2,-3)

For easy processing substitute : (0,5)

y=4x+b

5=b

y=4x+5 is the answer

Brainliest please~

3 0
3 years ago
Find the Shaded area
Paul [167]

Answer:

7.73

Step-by-step explanation:

So first find the area of the circle which is A= (pi)(r)^2

So you would have A=(pi)*3^2 = 28.27

Then you know that since the radius is 3 you know that the diameter is double of that and so your diameter is 6. Now if you draw a horizontal line that goes through the center and is parallel to one of the sqaure side you can see that that also is the diameter and you already figured out the diameter to be 6 so hence the side of the square are 6. Now find the area of the square which is 36 and then subtract 28.27 from it

36-28.27 = 7.73

8 0
2 years ago
The (blank) of the following set of data is 6.
aev [14]

Answer: Median!

Step-by-step explanation: If it's easier you can just use this website so your math will be easier: https://www.calculatorsoup.com/calculators/statistics/mean-median-mode.php

3 0
3 years ago
Read 2 more answers
Simplify 3a2 x 5b3 x 4a x 2c
sergey [27]
Here you go!! Hope this helps

6 0
3 years ago
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