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AVprozaik [17]
3 years ago
9

What is the remainder when f(x) = x^4 -8x^2 + 10x + 22 is divided by x + 3

Mathematics
1 answer:
arsen [322]3 years ago
8 0
Here is the answer for the qns so f(x)=(x^3-3x^2+x+3)+(13)
Answer is 13

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Let X denote the number of bars of service on your cell phone whenever you are at an intersection with the following probabiliti
lorasvet [3.4K]

Answer:

Step-by-step explanation:

Hello!

Given the variable

X: number of bars of service on your cell phone.

The posible values of this variable are {0, 1, 2, 3, 4, 5}

a. F(X) is the cummulative distribution function P(X≤x₀) you can calculate it by adding all the point probabilities for each value:

X: 0; 1; 2; 3; 4; 5

P(X): 0.15; 0.25; 0.25; 0.15; 0.1; 0.1

F(X): 0.15; 0.4; 0.65; 0.8; 0.9; 1

The maximum cumulative probability of any F(X) is 1, knowing this, you can calculate the probability of X=5 as: 1 - F(4)= 1 - 0.9= 0.1

b.

The mean of the sample is:

E(X)= ∑Xi*Pi= (0*0.15)+(1*0.25)+(2*0.25)+(3*0.15)+(4*0.1)+(5*0.1)

E(X)= 2.1

V(X)= E(X²)-(E(X))²

V(X)= ∑Xi²*Pi- (∑Xi*Pi)²= 6.7- (2.1)²= 2.29

∑Xi²*Pi= (0²*0.15)+(1²*0.25)+(2²*0.25)+(3²*0.15)+(4²*0.1)+(5²*0.1)= 6.7

c.

P(X<2)

You can read this expression as the probability of having less than 2 bars of service. This means you can have either one or zero service bars, you can rewrite it as:

P(X<2)= P(X≤1)= F(1)= 0.4

d.

P(X≤3.5)

This expression means "the probability of having at most (or less or equal to) 3.5 service bars", this variable doesn't have the value 3.5 in its definition range so you have to look for the accumulated probability until the lesser whole number. This expression includes the probabilities of X=0, X=1, X=2, and X=3, you can express it as the accumulated probability until 3, F(3):

P(X≤3.5)= P(X≤3)= F(3)= 0.80

I hope it helps!

5 0
3 years ago
Find the inverse of the equation y=2/3x-6
Korolek [52]

Answer:1/y =(3x-6)/2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The vertices of ΔABC are A(−3,4)​, B(−2,4)​, and C(−5,2). If ΔABC is reflected across the line y=−2 to produce the image Δ​A'B'C
Mumz [18]

The coordinates of vertex B' is P'(x,y) = (-2, -8).

<h3>How to calculate the coordinate of point by reflection</h3>

A point if reflected across the line y = -2 by means of the following formula:

P'(x,y) = P(x,y)+2\cdot [(x_{P}, -2)-P(x,y)] (1)

Where:

  • P(x,y) - Original point
  • x_{P} - x-Coordinate of point P
  • P'(x,y) - Resulting point

If we know that P(x,y) = (-2,4) and x_{P} = -2, then the coordinates of the vertex is:

P'(x,y) = (-2, 4) + 2\cdot [(-2,-2)-(-2,4)]

P'(x,y) = (-2, 4) +2\cdot (0, -6)

P'(x,y) = (-2, 4) + (0,-12)

P'(x,y) = (-2, -8)

The coordinates of vertex B' is P'(x,y) = (-2, -8). \blacksquare

To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272

3 0
2 years ago
What is the prime factorization of 40?<br> 1. 2x5<br> 2. 2x20<br> 3. 2x2x2x5<br> 4. 2x2x4x5
noname [10]

Answer: number 3 is the answer

3 0
3 years ago
Read 2 more answers
What is the expanded form of 5³?
Aleksandr [31]
5 x 5 x 5
Expanded just means writing it out as you would solve it. So solving a cube would be multiplying the number by itself 3 times
6 0
3 years ago
Read 2 more answers
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