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3 years ago

Determine the probability without a Venn Diagram (using the Addition Rule).

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

5 0

1/1/2 is the answer ............

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An equation parallel and perpendicular to 4x+5y=19

UNO [17]

Answer:

Parallel line:

$y=-\frac{4}{5}x+\frac{9}{5}$

Perpendicular line:

$y=\frac{5}{4}x-\frac{1}{2}$

Step-by-step explanation:

we are given equation 4x+5y=19

Firstly, we will solve for y

$4x+5y=19$

we can change it into y=mx+b form

$5y=-4x+19$

$y=-\frac{4}{5}x+\frac{19}{5}$

so,

$m=-\frac{4}{5}$

Parallel line:

we know that slope of two parallel lines are always same

so,

$m'=-\frac{4}{5}$

Let's assume parallel line passes through (1,1)

now, we can find equation of line

$y-y_1=m'(x-x_1)$

we can plug values

$y-1=-\frac{4}{5}(x-1)$

now, we can solve for y

$y=-\frac{4}{5}x+\frac{9}{5}$

Perpendicular line:

we know that slope of perpendicular line is -1/m

so, we get slope as

$m'=\frac{5}{4}$

Let's assume perpendicular line passes through (2,2)

now, we can find equation of line

$y-y_1=m'(x-x_1)$

we can plug values

$y-2=\frac{5}{4}(x-2)$

now, we can solve for y

$y=\frac{5}{4}x-\frac{1}{2}$

4 0

3 years ago

What is the perimeter of this red polygon?

Furkat [3]

Answer:

P= 26

Step-by-step explanation:

3 0

3 years ago

Alex has 48 stickers. This is 6 times the number of stickers Max has. How many stickers does Max have?

Fantom [35]

The opposite if multiplication is division. 48/6 = 8 Max has 8 stickers.

7 0

3 years ago

Read 2 more answers

What is the ratio 3:4 of 21?

docker41 [41]

3-----4

Total (Left): 9

Total (Right): 12

-------------------

Total (Left) + Total (Right) = 9 + 12 = 21

3 0

3 years ago

Read 2 more answers

Find the equation of the exponential function represented by the table below:

IgorC [24]

Answer:

$y=2^{1-x}$

Step-by-step explanation:

<u>Exponential Function</u>

When we need to express the exponential relation between two variables, we use the equation

$y=Cr^{x}$

where C, r are constants to be determined by using the given points from the table

For x=0, y=2, thus

$2=C.r^{0}=C$

We find that C=2

The equation is now

$y=2r^{x}$

Now we use the point x=1, y=1

$1=2r$

We find that

$\displaystyle r=\frac{1}{2}$

Thus, the equation is

$\displaystyle y=2\left(\frac{1}{2}\right)^{x}$

Rearranging

$y=2(2)^{-x}=2^{1-x}$

The required equation is

$y=2^{1-x}$

We can easily verify the last two points are also obtained by using the equation

7 0

3 years ago

Determine the probability without a Venn Diagram (using the Addition Rule).​

Determine the probability without a Venn Diagram (using the Addition Rule).