MATHEMATICS COLLEGE

What is the simplified form of this expression?

(5x2 + 2x + 11) − (7 + 4x − 2x2)

Answers

Answer 1
Answer:

Answer:

7x² - 2x + 4

Step-by-step explanation:

(5x² + 2x + 11) - (7 + 4x - 2x²) = 5x² + 2x + 11 - 7 - 4x + 2x² =

(5x² + 2x²) + (2x - 4x) + (11 - 7) = 7x² - 2x + 4

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The probabilities of poor print quality given no printer problem, misaligned paper, high ink viscosity, or printer-head debris are 0, 0.3, 0.4, and 0.6, respectively. The probabilities of no printer problem, misaligned paper, high ink viscosity, or printer-head debris are 0.8, 0.02, 0.08, and 0.1, respectively. a. Determine the probability of high ink viscosity given poor print quality.
b. Given poor print quality, what problem is most likely?

Answers

Answer and explanation:

Given : The probabilities of poor print quality given no printer problem, misaligned paper, high ink viscosity, or printer-head debris are 0, 0.3, 0.4, and 0.6, respectively.

The probabilities of no printer problem, misaligned paper, high ink viscosity, or printer-head debris are 0.8, 0.02, 0.08, and 0.1, respectively.

Let the event E denote the poor print quality.

Let the event A be the no printer problem i.e. P(A)=0.8

Let the event B be the misaligned paper i.e. P(B)=0.02

Let the event C be the high ink viscosity i.e. P(C)=0.08

Let the event D be the printer-head debris i.e. P(D)=0.1

and the probabilities of poor print quality given printers are

P(E|A)=0,\ P(E|B)=0.3,\ P(E|C)=0.4,\ P(E|D)=0.6

First we calculate the probability that print quality is poor,

P(E)=P(A)P(E|A)+P(B)P(E|B)+P(C)P(E|C)+P(D)P(E|D)

P(E)=(0)(0.8)+(0.3)(0.02)+(0.4)(0.08)+(0.6)(0.1)

P(E)=0+0.006+0.032+0.06

P(E)=0.098

a. Determine the probability of high ink viscosity given poor print quality.

P(C|E)=(P(E|C)P(C))/(P(E))

P(C|E)=(0.4* 0.08)/(0.098)

P(C|E)=(0.032)/(0.098)

P(C|E)=0.3265

b. Given poor print quality, what problem is most likely?

Probability of no printer problem given poor quality is

P(A|E)=(P(E|A)P(A))/(P(E))

P(A|E)=(0* 0.8)/(0.098)

P(A|E)=(0)/(0.098)

P(A|E)=0

Probability of misaligned paper given poor quality is

P(B|E)=(P(E|B)P(B))/(P(E))

P(B|E)=(0.3* 0.02)/(0.098)

P(B|E)=(0.006)/(0.098)

P(B|E)=0.0612

Probability of printer-head debris given poor quality is

P(D|E)=(P(E|D)P(D))/(P(E))

P(D|E)=(0.6* 0.1)/(0.098)

P(D|E)=(0.06)/(0.098)

P(D|E)=0.6122

From the above conditional probabilities,

The printer-head debris problem is most likely given that print quality is poor.

Answer:

Answer of Part(a) is 16/49

and Answer of Part(b) is Printer-head debris

Step-by-step explanation:

Answer is in the following attachment

An elevator is on Level 3, which is 45.25 metersabove the ground. It travels to the basement
level, which is 10.42 meters underground.
What is the total distance, in meters, that the
elevator traveled?
Enter your answer as a decimal in the box.

Answers

Answer:

55.67 m

Step-by-step explanation:

You just add the two numbers to get the total distance traveled.

A recipe requires 3/4 cups of sugar for every 14 cookies how many cups of sugar will be needed to bake 168 cookies

Answers

Answer:

9 cups

Step-by-step explanation:

3/4 cups of sugar for 14 cookies

There are 168÷14 = 12 set of 14 cookies in 168

So we need 12 times 3/4 sugar

12 × 3/4 = 9 cups of sugar needed

Answer:

9

Step-by-step explanation:

ratio problem

3/4 sugar/14 cookies = x sugar/168

126 = 14x

x = 9

Mrs. Smith is giving a homework pass to a student whose expression is equivalent to - i. Which expression will win the homework pass?A. i^36
B. i^37
C. i^38
D. i^39
Help pleaseee

Answers

Answer:

D. i^39

Step-by-step explanation:

If you simplify i^39, you get i^35, i^31, i^27, i^23, i^19, i^15, i^11, i^7, to i^3, which is equal to -i.

11.) Write each ratio as a fraction in simplest form. Then explain its meaning. 1 pointtriangles to rectangles
Pour answer
I

Answers

Answer:

ea

Step-by-step explanation:

ffh

What is the absolute value of -6.8

Answers

Answer: 6.8

Step-by-step explanation:

absolute value turns the number into the positive value.
The correct answer is 6.8
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