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3 years ago

Find the quotient and the remainder. 9x^4 - x^2 + 2x + 9 divided by x^2 + 8 Use polynomial long division

Mathematics

1 answer:

Mama L [17]3 years ago

6 0

Step-by-step explanation:

Solution

Given:

9x4−4x2+4 divided by 3x2−4x+2

To find:

Quotient and remainder

Solution:

Consider,

3x2+4x+2

3x2−4x+2 )9x4−4x2+4

9x4+6x2−12x3

12x3−10x2+4

12x3−16x2+8x

6x2−8x+4

From the above long division,

Quotient=3x2+4x+2

Remainder=0

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A classmate walks into class and states that he has an extra ticket to a chamber orchestra concert on Friday night. He asks ever

VladimirAG [237]

Answer:

2.56% chance of being selected

Step-by-step explanation:

Given

$n = 39$ --- you and 38 others

Required

Chance of you being selected

To do this, we simply calculate the probability using:

$Pr(x) = \frac{n(x)}{n}$

Where:

$n(x)= 1$ --- i.e you are just 1 person

So:

$Pr(x) = \frac{1}{39}$

$Pr(x) = 0.0256$

Express as percentage

$Pr(x) = 2.56\%$

3 0

3 years ago

I HAVE A FEW PROBLEMS

Setler [38]

The Answer Is D

F(x)=2-3x
F(-4)=2-3(-4)
F(-4)=2+12
F(-4)=14

4 0

4 years ago

From a sample with nequals24, the mean number of televisions per household is 4 with a standard deviation of 1 television. Usin

Otrada [13]

Answer:

At least 18 of the households have between 2 and 6 televisions.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

In this question:

Mean = 4

Standard deviation = 1

Percentage of households that have between 2 and 6 televisions.

2 = 4 - 2*1

So 2 is two standard deviations below the mean

6 = 4 + 2*1

So 6 is two standard deviations above the mean

By Chebyshev's Theorem, at least 75% of the measures are within 2 standard deviations of the mean.

Out of 24

0.75*24 = 18

At least 18 of the households have between 2 and 6 televisions.

6 0

3 years ago

How do you do 1 liter 299 milliliters - 398 milliliters

bearhunter [10]

1L=1000ml
1000 ml+299ml=1299 ml
1299-398ml=901ml

6 0

3 years ago

Solve the equations with variable on both sides: 8x=10x + 20 A. X= -10 B. X= -35 C. X= -23 D. X= -40

liberstina [14]

The correct answer is A

A) $8(-10)=10(-10)+20$ becomes $-80 = -80$

B) $8(-35)=10(-35)+20$ becomes $-280 \neq -330$

C) $8(-23)=10(-23)+20$ becomes $-184 \neq -210$

D) $8(-40)=10(-40)+20$ becomes $-320\neq -380$

7 0

3 years ago