11.07.2021

What is 1/3÷4 what is the answer?

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Mathematics
Step-by-step answer
P Answered by Master

400 NUMBERS. I WENT THROUGH AND TOOK OUT ALL THE 5's AND 6's AND THEN I PUT IT THROUGH A WORD COUNTER AND GOT 400

Step-by-step explanation:

3 2  2  2 4 2 3

2 2  3  1  4

2 2  3 2  4  3 3

1 1 2 1 3  3 3 2 3

3 3 3  2 1 3 1

4  2  4 4  1

1 1 1  1 2 1 4 2

3 2 4 3 4  3 2 2 3

4 1  3 2 3  3 3

3 2 4 2 3 4 3  1 4

4 3 1  3 2 3 2  4

2 4 3  1  2 3

3 3 1  1 3 4 2

1 3  3 4 2  4 4 4

1  1 3 3 4 1 2 4

4 4 4

2 3 4  3 1  1

2 2 4  4 1 1 1 2 3

3  3 2

3 3 3 2 3 1 1

3 4 1 3  3

3 4 2  2 4 1

3  4  4

4  2 4 3 2 4

1  4 4 1 2  1

4 3 4  1 2  4

3  4 1  1 2 3 1 1

3 1 3 3 1  4 4 3 1

1 3 4 4 1 1  3 1

4 4 1  1  1

2 1 1  1 4 2 1

2  1 4  4 1  4 3

2 1  3 1 3 4 2 2 2

4 4 1  2 3  2

3  1 1  1  1

4  4 3  4

4  4  1 1 1  2

1  1 1 3 2 2  1

4 1  2  2  2 2

3 1 2  2 1 3 4 2

1 3 1 1 4  4 1 1 2

1 3 4 3 4 2 2 3 3

1  4 1 3 1 1 4 2

4 4 4 1 1  4

3  1 4  2  1

2  1 1 2  3  3

1 3  2  1  3

1 4 1 2  1 1 3

2 4 4 2 1  2 2 2

4 2 2  4 1 3  2

1 4 1 1

4  4  1 1  4  2

2 2 2 2 3  1 3 3

4  1 4 4 1 4  1

3  2 1 1 3 1 2 4 4

4 1  4  1 5 3

3  2 2  2  4

1 4  3 4 3  2

3 3 2 4 2  2

4 1  3 4 3 1 2 4


How many numbers are lower than 5

3 2 5 2 6 6 2 4 2 3
2 2 6 6 3 6 6 1 6 4
2 2 6 3 2 6 4 5 3 3
1 1 2
Mathematics
Step-by-step answer
P Answered by Specialist

400 NUMBERS. I WENT THROUGH AND TOOK OUT ALL THE 5's AND 6's AND THEN I PUT IT THROUGH A WORD COUNTER AND GOT 400

Step-by-step explanation:

3 2  2  2 4 2 3

2 2  3  1  4

2 2  3 2  4  3 3

1 1 2 1 3  3 3 2 3

3 3 3  2 1 3 1

4  2  4 4  1

1 1 1  1 2 1 4 2

3 2 4 3 4  3 2 2 3

4 1  3 2 3  3 3

3 2 4 2 3 4 3  1 4

4 3 1  3 2 3 2  4

2 4 3  1  2 3

3 3 1  1 3 4 2

1 3  3 4 2  4 4 4

1  1 3 3 4 1 2 4

4 4 4

2 3 4  3 1  1

2 2 4  4 1 1 1 2 3

3  3 2

3 3 3 2 3 1 1

3 4 1 3  3

3 4 2  2 4 1

3  4  4

4  2 4 3 2 4

1  4 4 1 2  1

4 3 4  1 2  4

3  4 1  1 2 3 1 1

3 1 3 3 1  4 4 3 1

1 3 4 4 1 1  3 1

4 4 1  1  1

2 1 1  1 4 2 1

2  1 4  4 1  4 3

2 1  3 1 3 4 2 2 2

4 4 1  2 3  2

3  1 1  1  1

4  4 3  4

4  4  1 1 1  2

1  1 1 3 2 2  1

4 1  2  2  2 2

3 1 2  2 1 3 4 2

1 3 1 1 4  4 1 1 2

1 3 4 3 4 2 2 3 3

1  4 1 3 1 1 4 2

4 4 4 1 1  4

3  1 4  2  1

2  1 1 2  3  3

1 3  2  1  3

1 4 1 2  1 1 3

2 4 4 2 1  2 2 2

4 2 2  4 1 3  2

1 4 1 1

4  4  1 1  4  2

2 2 2 2 3  1 3 3

4  1 4 4 1 4  1

3  2 1 1 3 1 2 4 4

4 1  4  1 5 3

3  2 2  2  4

1 4  3 4 3  2

3 3 2 4 2  2

4 1  3 4 3 1 2 4


How many numbers are lower than 5

3 2 5 2 6 6 2 4 2 3
2 2 6 6 3 6 6 1 6 4
2 2 6 3 2 6 4 5 3 3
1 1 2
Mathematics
Step-by-step answer
P Answered by PhD

0.128 ; 0.872 ; 0.748 ; 0.124 ; 0.252

Step-by-step explanation:

Given the data above ;

The frequency distribution generated for the number of defects observed on each of 250 lcd screens are as follows :

__number of defects___frequency

0 24

1 82

2 38

3 43

4 31

5 26

6 6

A.) . What proportion of the screens have more than 4 defects? Give your answer to three decimal places.

More than 4 defects = (number of 5 defects + 6 defects) / total number of defects)

(26 + 6) / 250 = 32 / 250 = 0.128

b. What propotion of the screens have at most 4 defects? Give your answer to three decimal places.

Number of (0 + 1 + 2 + 3 + 4) defects

= (24 + 82 + 38 + 43 + 31) / 250

= 218 / 250 = 0.872

c. What proportion of the screens have fewer than 4 defects? Give your answer to three decimal places.

Number of (0 + 1 + 2 + 3) defects

= (24 + 82 + 38 + 43) / 250

= 187 / 250 = 0.748

d. What proportion of the screens have exactly 4 defects? Give your answer to three decimal places.

Number of 4 defects = 31

= 31 / 250

= 0.124

e. What proportion of the screens have at least 4 defects? Give your answer to three decimal places.

Number of (4 + 5 + 6) defects

= (31 + 26 + 6) / 250

= 63 / 250

= 0.252

Mathematics
Step-by-step answer
P Answered by PhD

0.128 ; 0.872 ; 0.748 ; 0.124 ; 0.252

Step-by-step explanation:

Given the data above ;

The frequency distribution generated for the number of defects observed on each of 250 lcd screens are as follows :

__number of defects___frequency

0 24

1 82

2 38

3 43

4 31

5 26

6 6

A.) . What proportion of the screens have more than 4 defects? Give your answer to three decimal places.

More than 4 defects = (number of 5 defects + 6 defects) / total number of defects)

(26 + 6) / 250 = 32 / 250 = 0.128

b. What propotion of the screens have at most 4 defects? Give your answer to three decimal places.

Number of (0 + 1 + 2 + 3 + 4) defects

= (24 + 82 + 38 + 43 + 31) / 250

= 218 / 250 = 0.872

c. What proportion of the screens have fewer than 4 defects? Give your answer to three decimal places.

Number of (0 + 1 + 2 + 3) defects

= (24 + 82 + 38 + 43) / 250

= 187 / 250 = 0.748

d. What proportion of the screens have exactly 4 defects? Give your answer to three decimal places.

Number of 4 defects = 31

= 31 / 250

= 0.124

e. What proportion of the screens have at least 4 defects? Give your answer to three decimal places.

Number of (4 + 5 + 6) defects

= (31 + 26 + 6) / 250

= 63 / 250

= 0.252

Mathematics
Step-by-step answer
P Answered by PhD

Part 1) Option A x=-13/8

Part 2) Option B x=1

Part 3) Option C x=1/2

Part 4) Option C x=4

Part 5) Option D x=15

Part 6) Option B x=2\frac{1}{4}

Part 10)  Option B x=2

Part 11) Option A x=-14/9  

Part 13) Option A r=-3

Part 14) Option D

Part 15) Option D

Part 16) Option C 4n-5=2n+3; n = 4

Part 17) Option D y=-5

Part 18) Option D x=-1

Part 19) Option D distribute the -2 to the 3p and 1; distribute the 6 to the 4 and p

Part 20) Option B  p=-1

Step-by-step explanation:

Part 1) we have

3(-2x-1)=2(x+5)

solve for x

-6x-3=2x+10

2x+6x=-3-10  

8x=-13

x=-13/8

Part 2) we have

3(2x-1)=\frac{1}{2}(4x-2)+2

solve for x

6x-3=2x-1+2

6x-2x=-1+2+3

4x=4

x=1

Part 3) we have

-4(3-2x)+2x=2x-8

solve for x

-12+8x+2x=2x-8

8x=-8+12

8x=4

x=1/2

Part 4) we have

10(x+2)=5(x+8)

solve for x

10x+20=5x+40

10x-5x=40-20

5x=20

x=4

Part 5) we have

-25(x-4)=-55(x-10)

solve for x

-25x+100=-55x+550

-25x+55x=550-100

30x=450

x=450/30

x=15

Part 6) we have

-9(x-5)=x+22\frac{1}{2}  

solve for x

remember that

22\frac{1}{2}=\frac{45}{2}

-9x+45=x+\frac{45}{2}

x+9x=45-\frac{45}{2}

10x=\frac{45}{2}  

x=\frac{45}{20}

convert to mixed number

x= \frac{45}{20}=\frac{9}{4}=2\frac{1}{4}

Part 7) The model is not included

Part 8) The model is not included

Part 9) The model is not included

Part 10) we have

5-x=(1/2)(x+4)

solve for x

5-x=(1/2)x+2

(1/2)x+x=5-2

(3/2)x=3

x=2

Part 11) we have

x-2x(12-(1/2))=2(4-2x)+20

solve for x

x-24x+x=8-4x+20

x-24x+x+4x=8+20

-18x=28

x=-14/9        

Part 12) The model is not included

Part 13) we have

5(r-1)=2(r-4)-6

solve for r

5r-5=2r-8-6

5r-2r=-8-6+5

3r=-9

r=-3

Part 14) and  Part 15)

the answer is the option D

Look for parenthesis and apply the distributive property; combine like terms; move your variable terms to one side and constants to the other side of the equal sign; go in reverse PEMorDAorS to isolate the variable using inverse operations

Part 16)

Let

n------> the number

we know that

4n-5=2n+3 -----> algebraic expression that represent the situation

solve for n

4n-2n=3+5

2n=8

n=4

Part 17) we have

-2(y+2)+5y=6y+11

solve for y

-2y-4+5y=6y+11

6y-5y+2y=-4-11

3y=-15

y=-5

Part 18) we have

4(3x-1)=3+8x-11

solve for x

12x-4=8x-8

12x-8x=-8+4

4x=-4

x=-1

Part 19) we have

14 - 2(3p + 1) = 6(4 + p)

 14 - 6p-2 = 24+6p ------> distribute the -2 to the 3p and 1; distribute the 6 to the 4 and p

Part 20) we have

14 - 2(3p + 1) = 6(4 + p)

step 1

distribute the -2 to the 3p and 1; distribute the 6 to the 4 and p

14 - 6p-2 = 24+6p

step 2

Group terms that contain the same variable and move the constant to the other side

6p+6p=14-2-24

step 3

Combine like terms

12p=-12

step 4

Divide by 12 both sides

p=-1

Mathematics
Step-by-step answer
P Answered by PhD

Part 1) Option A x=-13/8

Part 2) Option B x=1

Part 3) Option C x=1/2

Part 4) Option C x=4

Part 5) Option D x=15

Part 6) Option B x=2\frac{1}{4}

Part 10)  Option B x=2

Part 11) Option A x=-14/9  

Part 13) Option A r=-3

Part 14) Option D

Part 15) Option D

Part 16) Option C 4n-5=2n+3; n = 4

Part 17) Option D y=-5

Part 18) Option D x=-1

Part 19) Option D distribute the -2 to the 3p and 1; distribute the 6 to the 4 and p

Part 20) Option B  p=-1

Step-by-step explanation:

Part 1) we have

3(-2x-1)=2(x+5)

solve for x

-6x-3=2x+10

2x+6x=-3-10  

8x=-13

x=-13/8

Part 2) we have

3(2x-1)=\frac{1}{2}(4x-2)+2

solve for x

6x-3=2x-1+2

6x-2x=-1+2+3

4x=4

x=1

Part 3) we have

-4(3-2x)+2x=2x-8

solve for x

-12+8x+2x=2x-8

8x=-8+12

8x=4

x=1/2

Part 4) we have

10(x+2)=5(x+8)

solve for x

10x+20=5x+40

10x-5x=40-20

5x=20

x=4

Part 5) we have

-25(x-4)=-55(x-10)

solve for x

-25x+100=-55x+550

-25x+55x=550-100

30x=450

x=450/30

x=15

Part 6) we have

-9(x-5)=x+22\frac{1}{2}  

solve for x

remember that

22\frac{1}{2}=\frac{45}{2}

-9x+45=x+\frac{45}{2}

x+9x=45-\frac{45}{2}

10x=\frac{45}{2}  

x=\frac{45}{20}

convert to mixed number

x= \frac{45}{20}=\frac{9}{4}=2\frac{1}{4}

Part 7) The model is not included

Part 8) The model is not included

Part 9) The model is not included

Part 10) we have

5-x=(1/2)(x+4)

solve for x

5-x=(1/2)x+2

(1/2)x+x=5-2

(3/2)x=3

x=2

Part 11) we have

x-2x(12-(1/2))=2(4-2x)+20

solve for x

x-24x+x=8-4x+20

x-24x+x+4x=8+20

-18x=28

x=-14/9        

Part 12) The model is not included

Part 13) we have

5(r-1)=2(r-4)-6

solve for r

5r-5=2r-8-6

5r-2r=-8-6+5

3r=-9

r=-3

Part 14) and  Part 15)

the answer is the option D

Look for parenthesis and apply the distributive property; combine like terms; move your variable terms to one side and constants to the other side of the equal sign; go in reverse PEMorDAorS to isolate the variable using inverse operations

Part 16)

Let

n------> the number

we know that

4n-5=2n+3 -----> algebraic expression that represent the situation

solve for n

4n-2n=3+5

2n=8

n=4

Part 17) we have

-2(y+2)+5y=6y+11

solve for y

-2y-4+5y=6y+11

6y-5y+2y=-4-11

3y=-15

y=-5

Part 18) we have

4(3x-1)=3+8x-11

solve for x

12x-4=8x-8

12x-8x=-8+4

4x=-4

x=-1

Part 19) we have

14 - 2(3p + 1) = 6(4 + p)

 14 - 6p-2 = 24+6p ------> distribute the -2 to the 3p and 1; distribute the 6 to the 4 and p

Part 20) we have

14 - 2(3p + 1) = 6(4 + p)

step 1

distribute the -2 to the 3p and 1; distribute the 6 to the 4 and p

14 - 6p-2 = 24+6p

step 2

Group terms that contain the same variable and move the constant to the other side

6p+6p=14-2-24

step 3

Combine like terms

12p=-12

step 4

Divide by 12 both sides

p=-1

Mathematics
Step-by-step answer
P Answered by PhD

Second table

Step-by-step explanation:

Proportional relationships between x and y satisfied the following equation y = k*x, where k is some constant. Rearranging we get: k = y/x. So, if we take every pair y-x and divided them, we have to find the same k.

- Division y/x for the first table:

2/1 = 2

5/3

8/4 = 2

14/7 = 2       It is not a proportional relationship

- Division y/x for the second table:

1/7

2/14 = 1/7

4/28 = 1/7

5/35 = 1/7       It is a proportional relationship

- Division y/x for the third table:

4/1 = 4

10/2 = 5

12/3 = 4

16/4 = 4        It is not a proportional relationship

- Division y/x for the fourth table:

5/2.5 = 2

6/3 = 2

10/5 = 2

15/6 = 5/2        It is not a proportional relationship

Mathematics
Step-by-step answer
P Answered by PhD

Second table

Step-by-step explanation:

Proportional relationships between x and y satisfied the following equation y = k*x, where k is some constant. Rearranging we get: k = y/x. So, if we take every pair y-x and divided them, we have to find the same k.

- Division y/x for the first table:

2/1 = 2

5/3

8/4 = 2

14/7 = 2       It is not a proportional relationship

- Division y/x for the second table:

1/7

2/14 = 1/7

4/28 = 1/7

5/35 = 1/7       It is a proportional relationship

- Division y/x for the third table:

4/1 = 4

10/2 = 5

12/3 = 4

16/4 = 4        It is not a proportional relationship

- Division y/x for the fourth table:

5/2.5 = 2

6/3 = 2

10/5 = 2

15/6 = 5/2        It is not a proportional relationship

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