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Harman [31]
3 years ago
10

Describe how the graph of g(x) is related to the parent function f(x).

Mathematics
1 answer:
Nataly [62]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) = 4x and g(x) = 4x - 2

That is g(x) is the graph of f(x) shifted 2 units down

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The probability distribution of random variable, X, is defined as follows:
stealth61 [152]

Answer and Step-by-step explanation:

A) For the model to be a probability distribution, it has to follow two conditions:

1) The probability of each value of the discrete random variable is between, and included, 0 and 1:

2) The sum of all probabilities is 1;

In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;

Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1

Therefore, this model is a valid probability distribution model.

B) They are discrete because each value correspond to a finite number of possible values.

C) Expected value is calculated by

E(X) = \Sigma xP(x)

E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3

E(X) = 2.6

D) P(X=3) = P(3), which means probability of 3:

P(X=3) = 0.3

E) P(X<4): probabilities of values of X that are less than 4:

P(X<4) = P(0) + P(1) + P(2) + P(3)

P(X<4) = 0 + 0.3 + 0.1 + 0.3

P(X<4) = 0.7

F) P(X>0) = P(1) + P(2) + P(3) + P(4)

P(X>0) = 0.3 + 0.1 + 0.3 + 0.3

P(X>0) = 1

G) P(X=5) = P(5)

There is no probability of P(5) because the model doesn't "cover" that number.

H) P(X=0) = P(0)

P(X=0) = 0

I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.

3 0
3 years ago
The graph shows the relationship between the distance a car travels and the time the car travels. Whats the speed of the car??
Cloud [144]
150 miles/hour
Hope this helps!
Vote me brainliest!
7 0
3 years ago
Find an equation for the plane y=4x in cylindrical coordinates. (Type theta for θ in your answer.)
Paha777 [63]

Answer:

<h2><em>sinθ - 4cosθ = 0</em></h2>

Step-by-step explanation:

Given the equation of a plane in rectangular coordinates to be y = 4x.

The cylindrical coordinates of the axis is as given below;

x = rcosθ

y = rsinθ

z = z

Since there is no z coordinate in the equation of the plane given, we will only substitute x = rcosθ and y = rsinθ into the equation y = 4x and simply the result as shown;

y = 4x

rsinθ = 4( rcosθ)

rsinθ = 4rcosθ

sinθ = 4cosθ

sinθ - 4cosθ = 0

<em>Hence the equation for the plane in cylindrical coordinate is expressed as sinθ - 4cosθ = 0</em>

8 0
2 years ago
The equations below represent the total amount charged, y, by two different plumbers as a function of the number of hours worked
miss Akunina [59]

Answer:

both plumbers charge $120 for 3 hours of work

Step-by-step explanation:

1) x=3 and x stands for hours.

2) 120=y and y stands for money charged

so the points (3, 120) show that the plumbers both charge 120 for 3 hrs.

5 0
2 years ago
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x2 – 8x – 3.
Schach [20]
Axis of symmerty from form
ax²+bx+c is -b/2a
the axis of symetry is the x value of the vertex so just put the axis of symetry for x an evaluate


4x²-8x-3
-b/2a=-(-8)/(2*4)=8/8=1

input for x
4(1)²-8(1)-3=4-8-3=-7

(1,-7) is vertex

A is answer
5 0
3 years ago
Read 2 more answers
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