An urn contains twenty chips, numbered 1 through
20. Two are drawn simultaneously. What is the probabil-
ity that the numbers on the two chips will differ by more
than 2?

Accoding to the given statements;

Sasha have left 2480 mm of rope.

According to the given values;

Sasha has 520 cm of rope

She used 2m 72 mm of rope

So, 1 cm = 10mm

And 1m = 1000mm

So, 520 × 10 = 5200mm

2.72× 1000 = 2720mm

5200 - 2720 = 2480mm

Sasha have left 2480 mm of rope.

To know more about Rope, visit

https://brainly.com/question/21476123

#SPJ9

Larry is carrying 4 pounds of dirt. Moe receives 2 3/5 pounds of dirt, and Curly receives 1 1/3 pounds. Larry has 0.07 pounds of dirt.

Given that,

Larry is carrying 4 pounds of dirt. Moe receives 2 3/5 pounds of dirt, and Curly receives 1 1/3 pounds.

We have to find how much dirt does Larry have

Larry =4 pounds of dirt

Larry=4 pound of dirt-Moe receives 2 3/5 pounds of dirt- curly receives 1 1/3 pounds of dirt.

Larry=4-2 3/5-1 1/3

Larry=4-13/5-4/3

Larry=4-2.6-1.33

Larry=4-3.93

Larry=0.07

Therefore, Larry has 0.07 pounds of dirt.

To learn more about pounds visit: https://brainly.com/question/27994061

#SPJ1

The value of x is 6

A line segment can be defined as the partition formed by end points of a line.

From the information given, we have that line JL is the line with segments JK, KL and JL and K and the midpoint between J and L

This can be represented as;

JK + KL = JL

Where;

Substitute the values into the formula, we have;

5x -8 + 7x - 12 = 52

Now, collect like terms

12x = 52 + 20

Add like terms

12x = 72

Make 'x' the subject of formula

x = 72/12

x = 6

Thus, the value of x is 6

Learn more about line segments here:

https://brainly.com/question/2437195

#SPJ1

it is called business company

The properties of algebra used here are

For first point the algebraic properties used is  Distributive Properties of Addition Over Multiplication.

For Second point the algebraic properties used is  Associative Property of Addition

For third point the algebraic properties used is Associative Property of Multiplication.

For fourth point the algebraic properties used is  Commutative Property of Multiplication

For fifth point the algebraic properties used is  Distributive Properties of Addition Over Multiplication.

For sixth point the algebraic properties used is Associative Property of Addition

The correct question is Write the property that justifies each mathematical statement. Look carefully!!

1. a(c-d) = ac - ad

2. 2x + y = y + 2x

3. — 3(4c) = (- 3 * 4)c

4. 3(4ab) = (4ab)3

5. - 9(3 + 2x) = -9(3) - 9(2x)

6. 3+ (2 + n) = (3 + 2) + n

To know more about properties of algebra - https://brainly.com/question/1448147

#SPJ9

Triangle PQR has vertices P (3,8), Q (-5, 7), and R (0, 2) then the coordinates of the vertices of the image after a reflection in the y-axis will be:

P'' (-3,-8)

P' (3,8)

Q'' (-5,7)

Q'' (-5,-7)

R'' (2,0)

R'' (0,2).

A reflection around the axis and is given by the following rule:

(x, y) ----> (-x, y)

Applying the rule to each vertices of the reflection y - axis we have:

A) P' (3,-8) ----> P'' (-3,-8)

B) P (-3,8)  ----> P' (3,8)

C) Q' (5,7)  ----> Q'' (-5,7)

D) Q' (5,-7)  ----> Q'' (-5,-7)

E) R¹ (-2,0) ----> R'' (2,0)

F) R¹ (0,2) ----> R'' (0,2)

Therefore,

Triangle PQR has vertices P (3,8), Q (-5, 7), and R (0, 2) then the coordinates of the vertices of the image after a reflection in the y-axis will be:

P'' (-3,-8)

P' (3,8)

Q'' (-5,7)

Q'' (-5,-7)

R'' (2,0)

R'' (0,2).

To learn more about reflection problems visit : brainly.com/question/9415470

#SPJ9

The area of the portion of the windshield cleaned by the 10-in wiper blade is 106.85in² .

We have been provided that the Length of blade is 15 inches and the Angle of rotation = 98°

We are required to calculate the area of the portion of the windshield cleaned by the 10-in wiper blade.

We have to solve this by using area of a sector.

Area of a sector = ½r²θ

where θ is in radians.

So, angle of rotation (98°) must first be converted to radians

Converting 98º to radians, we get

98×π/180 = 49π/90

The area of the region swept out by the wiper blade

= (area of the sector where r = 15 and θ = 49π/90) - (area of the sector where r = (15-10) and θ = 49π/90).

So, Area = ½×15²×49π/0 - ½×5²×49π/90

= ½×49π/90(15²-10²)

= 49π/180× (225 - 100)

= 49π/180 × 125

= 1225π/36

Area = 106.8472in²

=106.85 in²

Hence, the area of the portion of the windshield cleaned by the 10-in wiper blade is 106.85in²

To know more about area of a sector- https://brainly.com/question/7512468

#SPJ9

The area, in square meters, of the trapezoid is 56.16 m²

A trapezoid with height 5.2m and parallel base is 14.6m and 7m.

We have to find the area of area of this trapezoid.

Area of trapezoid =  1/2(sum of parallel sides)(height)

                             = 1/2(14.6+7)(5.2)

                             = 1/2(21.6)(5.2)

                             = 1/2(112.32)

                             = 56.16 m²

A quadrilateral with as a minimum one pair of parallel aspects is known as, in American and Canadian English, a trapezoid (/ˈtræpəzɔɪd/). In British and other forms of English, a (North American) trapezoid is known as a trapezium (/trəˈpiːziəm/). The transposition of these two terms become a result of an blunders in Charles Hutton's mathematical dictionary.

A trapezoid is always a convex quadrilateral in Euclidean geometry. The parallel aspects are known as the bases of the trapezoid. the opposite  facets are known as the legs (or the lateral aspects) if they're no longer parallel; otherwise, the trapezoid is a parallelogram, and there are  pairs of bases)

To learn more about area visit , https://brainly.com/question/23418911

#SPJ9

Answer:

The answer would be: A = 5 1/4

Answer:

Step-by-step explanation:

The domain is the set of x values and the range is the set of y values.

For the relation to the function, each value of x must map onto no more than one value of y.

Answer:

Domain: -2≥x≥2

Range: -2≥x≥2

Not a function

Step-by-step explanation:

Answer:

$30.25

Step-by-step explanation:

1100 (.03) [tex](\frac{11}{12})[/tex]

Answer:

Step-by-step explanation:

Francis bought 5 holiday gifts that were between $42 and $87. What is a reasonable amount that he paid for the items?

we find the average between 42 and 87 and multiply by 5

[(42 + 87) : 2] * 5 =

(129 : 2 ) * 5 =

64.5 * 5 = 322.5$

Step-by-step explanation:

mm/kyc-kbiy-rvk come.

Answer:

Step-by-step explanation: Gold will cost €2.06 per gram.

[tex] \bf \implies \:(x,y) = (2,0)[/tex]

There are four quadrants in graph:

Note that : x axis is also known as abscissa and y axis is also known as ordinate

The possible answers for the restaurants are Three 8-hour shifts; four 6-hour shifts; six 4-hour shifts.

2. The seconds that they will blink together again is 45 seconds.

Here we have to determine the factors of 24 for the shifts i.e.  1, 2, 3, 4, 6, 8, 12, 24 .

A 1-hour shift does not make much sense; most employers will also not use a 2-hour or 3-hour shift.

Restaurants typically do not use 12-hour shifts either, and employers do not use 24-hour shifts either.

Since both signs blink as they are turned on and one blinks every 9 seconds. The other sign blinks every 15 seconds. The least common multiple is 45.

Learn more about restaurant on:

https://brainly.com/question/546180

#SPJ1

Answer:

Ratio is a comparison between 2 numbers.

Hope this helps :)

Domain: (-infinity, 5)

Range: [-3, infinity)

When 3,422 is divided by 12, the decimal that remains when converted to fraction form is 1 / 6

First, divide 3,422 by 12 to find the result.

Dividing 3,422 by 12 gives:

= 3,422 / 12

= 285.16667

You need to convert 0.16667 to a fraction. When done, this is:

= 16,667 / 100,000

= 2 / 12

= 1 / 6

In conclusion, the decimal when turned to a fraction is 1/6.

Find out more on turning decimals to fractions at https://brainly.com/question/601741

#SPJ1

Answer:

20.7 acres

Step-by-step explanation:

A=wl=340·294=99960

convert 99960 yards to acres

Formula

divide the area value by 4840

= 20.7 acres

Answer:

See attached table and graph!

Step-by-step explanation:

Brainly says there was "inappropriate language" in my explanation ( I assure you, there isn't!) So I attached it as an an image below! Hope this helps!

Jasper had 362.25 in his account after two years, per the given statement.

The interest you earn upon interest is known as compound interest. This may be demonstrated with simple math: if you have $100 and that it earns 5% interest every year, you will have $105 at the end of the first year. You'll have $110.25 by the end of the second year.

Given:

Jaspar deposits £2,500

interest rate = 7

Time = 2 year

Compound interest is interest calculated on the aggregate amount rather than the principle amount alone.

Amount = P(1+r/100)^n

=2500(1+7/100)²

=2500(100+7/100)²

= 2500(107/100)²

= 2862.25

C.I.= Amount - Principal

= 2862.25-2500

= 362.25

According to the given statement jasper have 362.25 in his account after 2 years.

To know more about Compound interest  visit:

https://brainly.com/question/14295570

#SPJ9

Answer:

-6

Step-by-step explanation:

y=6

-y=-6

Answer:

A frequency table of grades has five classes A B C D F

Step-by-step explanation:

A frequency table of grades has five classes A B C D F

The scale of the map is 1:4000000

From the question, we are to determine the scale of the map

From the given information,

3cm on the map correspond to 120 km

First, we will convert 120 km to cm

120 km = 120000 m

120000 m = 12000000 cm

Thus,

3cm on the map correspond to 12000000 cm

Then,

The scale of the map is

3:12000000

Reducing to the lowest term

1:4000000

Hence, the scale of the map is 1:4000000

Learn more on Scale of a map here: https://brainly.com/question/1504153

#SPJ1

Answer:

Step-by-step explanation:

2/4 is equal to 0.5

4/8 is equal to 0.5

10/20 is equal to 0.5

Answer:

C. 5/10

Step-by-step explanation:

Using a calculator:

Divide each numerator by each denominator. The answer must be 0.5

A. 1/50 = 0.02

B. 1/5 = 0.2

C. 5/10 = 0.5

D. 5/9 = 0.555...

Answer: C. 5/10

Without a calculator.

0.5 as a fraction is 1/2. Notice the denominator, 2, is twice the numerator, 1.

The answer also must have a denominator that is twice the numerator.

A. 1/50      2 × 1 = 2, not 50

B. 1/5         2 × 1 = 2, not 5

C. 5/10      2 × 5 = 10; this is it.

D. 5/9       2 × 5 = 10, not 9

Answer: C. 5/10

The values of the expressions in the table following their evaluation are;

1. 73

2. 97

3. x = 108

4. -13/6

5. 1 and 97

6. 1 and 41

7. The graph of the number line

8. She needs to add 5/36 cup of sugar

The length of the actual is 6 miles

1. The given expression is 5•x + 14 - 6

The value of x at which the expression is evaluated is x = 13

Which gives;

5×13 + 14 - 6 = 73

2. Twelve times six plus 25 can be expressed as 12 × 6 + 25

12 × 6 + 25 = 97

3. x/9 = 12

Multiplying across gives;

x × 1 = 9 × 12 = 108

x = 108

4. The expression is 3/16 - 3/8

= (3 - 2× 3)/16

3/16 - 3/8 = (3 - 2× 3)/16 = -3/16

(3 - 2× 3)/16 = -3/16

5. The prime factors of 97 are; 1 and 97

6. 41 is a prime number.

The factors of 41 are; 1 and 41

7. The graph of x = -1/3

8. Quantity of sugar required = 3¼

Quantity added = 3⅑

Quantity needed = 3¼ - 3⅑ = 5/36

9. 4 inches is equivalent to 2 miles

Therefore;

12 inches = 3 × 4 inches is equivalent to 3 × 2 mi = 6 mi

The length of the actual trail is 6 miles

Learn more about evaluating expressions here:

https://brainly.com/question/11388301

#SPJ1

Answer:

4.

∠ABC + ∠BCA + ∠CAB = 180

therefore, ∠ABC = 180 - ∠BCA - ∠CAB

using this formula to solve 4a, 4b and 4c:

4a. ∠ABC = 180 - ∠BCA - ∠CAB = 180 - 49 -57 = 26

∠ABC = 26

4b. ∠ABC = 180 - ∠BCA - ∠CAB = 180 - 28 -90 = 62

∠ABC = 62

4c. ∠ABC = 180 - ∠BCA - ∠CAB = 180 - 38 - 25 = 117

∠ABC = 117

5a. In the Triangle ABC, ∠BCA + ∠CAB + ∠ABC = 180

∠BCA = 180 - ∠CAB - ∠ABC = 180 - 55 - 60 = 65

∠BCA = 65

∠BCD + ∠BCA = 180

therefore substituting for ∠BCA in, ∠BCD = 180 - ∠BCA = 180 - 65 = 115

∠BCD =115

5b. In the Triangle ABC, ∠BCA + ∠CAB + ∠ABC = 180

∠BCA = 180 - ∠CAB - ∠ABC = 180 - 125 - 30 = 25

∠BCA = 25

∠BCD + ∠BCA = 180

therefore substituting for ∠BCA in, ∠BCD = 180 - ∠BCA = 180 - 25 = 155

∠BCD = 155

5c. ∠ABD + ∠CBD = 180

therefore ∠CBD = 180 - ∠ABD = 180 - 132 = 48

∠CBD = 48

In the Triangle BCD, ∠CBD + ∠BDC + ∠BCD = 180

therefore ∠BCD = 180 - ∠CBD - ∠BDC = 180 - 48 - 71 = 61

∠BCD =61

6. 4 angles of a quadrilateral = 360

∠a+110+60+80=360

∠a=360-110-60-80=110

∠a = 110

7. four angles of a quadrilateral = 360

using his formula to solve for ∠a, ∠b and ∠c.

for angle a: ∠a+110+95+63=360

∠a=360-110-95-63=92

∠a = 92

for angle b: ∠b+40+62+35=360

∠b=360-40-62-35=223

∠b=223

for angle c: ∠c+100+172+35=360

∠c=360-100-172-35=53

∠c=53