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3 years ago

Solve for q(x) and r(x). (4x^3-3x^2+5x-7)/(x-2) = q(x)+ r(x)/(x-2)

Mathematics

1 answer:

4vir4ik [10]3 years ago

7 0

By synthetic division,

q(x) = 4x^2 +5x +15

r(x) = 23

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A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number

kari74 [83]

Answer:

0.4

Step-by-step explanation:

These are the relative frequencies of each face (data are missing in the text of the problem):

Number Showing on Top Face Frequency

1 0

2 3

3 3

4 6

5 3

6 5

The probability to obtain a certain number when throwing the dice is given by

$p(x_i)=\frac{f_i}{\sum f}$

where

$f_i$ is the relative frequency of the number $x_i$ to occur

$\sum f$ is the sum of the relative frequencies

Here the sum of the frequencies is:

$\sum f=0+3+3+6+3+5=20$

For number 5 here, we have:

$f_5 = 3$ (from the table)

So the probability of getting a 5 is

$p(5)=\frac{3}{20}$

For number 6 here, we have

$f_6=5$

So the probability of getting a 6 is

$p(6)=\frac{5}{20}$

So the probability to obtain either a 5 or a 6 in the next rolling is:

$p(5\cup 6)=p(5)+p(6)=\frac{3}{20}+\frac{5}{20}=\frac{8}{20}=0.4$

6 0

3 years ago

PLEASE HELP ASAP!!<br> Find the area of the figure. Round your answer to the nearest hundredth.

Ksivusya [100]

Answer:

4 in.

Step-by-step explanation:

length times width = area

actually im not really sure lol. we havent done this in a while

8 0

3 years ago

Read 2 more answers

Based on the abbreviations, translate the following ad into fully spelled-out sentences. The final sentence should state

Tpy6a [65]

Answer:

low cash to mortgage, two bedroom one bedroom. Qualifying Low monthly payments

555-834-3674 Norris Realty

8 0

3 years ago

I have just one question, could someone please answer it?? (see linked file)

Annette [7]

The solution is x=1 and y=-2

Further explanation:

Given equations are:

$\frac{7}{2}x-\frac{1}{2}y=\frac{9}{2}\\3x-y=5$

Multiplying equation no. 1 with 2 will give us:

$7x-y=9$ Eqn 3

From equation no 2:

$3x-y=5\\-y=5-3x\\y=3x-5$

Putting the value of y in eqn 3

$7x-(3x-5)=9\\7x-3x+5=9\\4x=9-5\\4x=4\\\frac{4x}{4}=\frac{4}{4}\\x=1\\Putting\ x=1\ in\ equation\ 2\\3(1)-y=5\\3-y=5\\-y=5-3\\-y=2\\y=-2\\$

The solution is x=1 and y=-2

Keywords: Linear equations, Solution set

Learn more about linear equations at:

#LearnwithBrainly

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3 years ago

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igomit [66]

66° 44 and 70 make 114. 180 minus 114 makes 66

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3 years ago