What is the equation for the line in slope-intercept form?

Let S be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die

ExtremeBDS [4]

Answer:

Step-by-step explanation:

given that S be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die shows an even number, and let F be the subset of outcomes in which at least one die shows an odd number

E = atleast one shows even number

i.e. both cannot show odd number

So elements of E are

E ={(1,2) (1,4) (1,6) (2,1) (2,2) (2,3) (2,4)( 2,5) (2,6) (3,2) (3,4) (3,6) (4,1) (4,2) (4,3) (4,4( 4,5) (4,6) ,5,2) (5,4) (5,6) (6,1) (6,2) (6,3) (6,4( 6,5) (6,6) }

F = atleast one die shows odd

F={(1,1) (1,2) (1,3), (1,4)(1,5) (1,6) (2,1) (2,3) ( 2,5) (3,1) (3,2) (3,3) (3,4)( 3,5) (3,6) (4,1) (4,3) (4,5) (5,1) (5,2) (5,3)(5,4) (5,5) (5,6) (6,1) (6,3)( (6,5) }

3 0

3 years ago

A Web music store offers two versions of a popular song. The size of the standard version is 2.9 megabytes (MB). The size of the

GrogVix [38]

s +h = 1070 ( total number of downloads)

Rewrite as s =1070 - h

2.9s + 4.4h = 4393 ( total download size)

Substitute:

2.9(1070-h) + 4.4h = 4393

Simplify:

3103 - 2.9h + 4.4h = 4393

Combine like terms:

3103 + 1.5h = 4393

Subtract 3103 from each side:

1.5h = 1290

Divide both sides by 1.5:

h = 1290 / 1.5

h = 860

Replace h with 860 in first equation to solve for s:

s + 860 = 1070

s = 1070 - 860

s = 210

There were 210 standard downloads and 860 high quality downloads

3 0

3 years ago

Marcus' employee benefits include family health care coverage. He contributes 25% of the cost. Marcus gets paid weekly and $102

ArbitrLikvidat [17]

Monthly amount, M = $102×4 = $408.

Also, yearly amount, Y = M×12 = $408×12 = $4896

It is given that 25% of the cost is contributed by Marcus.

Amount Marcus paid

$=\dfrac{\$4896 \times 25 }{100}\\\\= \$1224$

Therefore, his employer contribution annually for coverage is $( 4896 - 1224)=$3672.

Hence, this is the required solution.

4 0

2 years ago

Can someone help me with this problem? <br> a + (b + 12) = (b + 12) + a

Aleksandr [31]

Answer: True 12=12

a+(b+12)=(b+12)+a

a+b+12=b+12+a

Which equals each other

7 0

2 years ago

The area of a room is 600 square feet. The length is (x+2) feet and the width is (x+3) feet. Find the dimensions of the room

m_a_m_a [10]

Create an equation using the formula for area of a rectangle; area = width * length
(X + 2)(x + 3) = 600
Multiply the dimensions.
X^2 + 3x + 2x +6 = 600, or simplified x^2 +5x + 6 = 600.
Subtract 600 to get the following:
X^2 + 5x - 594 = 0
Factor by x:
(X - 22)(x + 27) = 0
Solve for x
X - 22 = 0
X = 22.
Use the POSITIVE VALUE of x as you can’t have a negative area for a room.
Then substitute 22 for x to get the dimensions
(22+ 2) or 24 for length and (22+3) or 25 for width.

6 0

2 years ago