A 6-sided die is rolled.
Let A = rolling a 1
Let B = rolling an even number
Identify the probability of the following events.
*Write your answer as a fraction*

Answer:

P(5 ≤ X ≤ 8)  = a  rectangle  with a width of 3  and height of .15   = 3(.15)  = .45

P( 4 ≤ X ≤ 5)  =  a triangle  with a base of 1  and a height of (0.15 -0.05) = .10

So....this area  =   (1/2)(1)(.10)  = .05

And  another rectangle with a width of 1 and height of .05  = (1) (.05) = .05

So

Adding these areas

P( 4 ≤ X ≤ 8 )  =  .45 + .05 + .05   =  .55

Step-by-step explanation:

Hoped this helped!

Answer:

Step-by-step explanation:

let r be the radius of the circle.

→ We know that in circle , the length of an arc

and the corresponding central angle are proportional.

180 corresponds to πr

120 corresponds to 10π

Then

[tex]\frac{\uppi r}{180} =\frac{10\uppi }{120}[/tex]

[tex]\Longrightarrow r=\frac{180\times 10\pi }{120\pi } =\frac{180}{12} =15[/tex]

The equation that describes the which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn is A = 130x - x²

The pen is rectangular. Therefore,

area of a rectangle = lw

where

Therefore,

perimeter = 2w + l

perimeter = 2w + x

130 = 2w + x

130 - x = 2w

w = 65 - 1/ 2 x

A = xw

A = x(65 - 1/ 2 x)

A = 65x - 1 / 2 x²

Therefore, the function that represents A, the area of the pen is as follows:

A = 130x - x²

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Using a system of equations, it is found that Sana's mother bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

She bought one more pound of peaches than pounds of tomatoes, hence:

x = y + 1.

y = x - 1.

She bought 3 times as many pounds of tomatoes as pounds of mushrooms, hence:

x = 3z.

y = x - 1 = 3z - 1.

She spent a total of $80, hence considering the cost per pound of each product we have that:

6x + 3y + 10z = 80.

Considering the values of x and y as function of z and replacing in the equation, we have that:

6(3z) + 3(3z - 1) + 10z = 80

18z + 9z - 3 + 10z = 80.

37z = 83.

z = 83/37

z = 2.24.

Then:

x = 3z = 3 x 2.24 = 6.72.

y = x - 1 = 3z - 1 = 6.72 - 1 = 5.72.

Hence, she bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.

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7 lbs peaches, 6 lbs tomatoes, 2 lbs mushrooms

yum!

Using the classification for even and odd functions, it is found that the function is even, because f(-x) = f(x).

Graphing the function [tex]f(x) = 3x^4 - 5x^2[/tex], for every value of x, f(x) = -f(x), that is, the function is symmetric over the y-axis, hence it is even.

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La suma de dos números enteros negativos siempre será negativa. El signo de la suma de dos números enteros con signos diferentes dependera de cual tiene mayor valor absoluto.

La suma de dos números A y B se escribe como:

A + B.

Sí ambos números son negativos, los podemos escribir como:

A = -a

B = -b

Donde a y b son positivos.

Entonces la suma de esos dos nos dará:

(-a) + (-b) = -(a + b).

Es decir, el resultado de la suma es un número negativo.

Un ejemplo es sí tomamos:

A = -1

B = -4

(-1) + (-4) = -(1 + 4) = -5.

En este caso dependerá de que número tenga mayor valor absoluto.

Por ejemplo, sí usamos:

A = 2

B = -4

2 + (-4) = -2

El resultado es negativo, pues el número negativo tiene mayor valor absoluto.

Por otro lado, sí tenemos:

A = -2

B = 4

(-2) + 4 = 2

El resultado es positivo, pues el número positivo tiene mayor valor absoluto.

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Answer:

.65 litres

Step-by-step explanation:

Answer:

in the picture

Step-by-step explanation:

You need 2 points to graph a line.

▪︎ if x = 0, y = 0 - 6 => y = -6

1st point: (0, -6)

▪︎if y = 0, 0 = -x - 6 => x = -6

2nd point: (-6, 0)

Answer: The answer will be 19

Answer: 23 years old

Step-by-step explanation:

Answer:

290 m²

Step-by-step explanation:

The volume of the figure can be found by taking the sum of the volumes of the 2 cuboid.

[tex]\boxed{\text{Volume of cuboid}=\text{length}\times\text{breadth}\times\text{height}}[/tex]

Top cuboid

Length= 4 m

Breadth= 5 m

Height= 7 m

Volume= 4(5)(7)= 140 m²

Bottom cuboid

Length= 5 m

Breadth= 6 m

Height= 5 m

Volume= 5(6)(5)= 150 m²

Total volume

Total volume

= volume of top cuboid +volume of bottom cuboid

= 290 m²

Additional:

For a similar question on volume of composite figures, do check out the following!

Answer:

[tex]\textsf{D.} \quad x=4 \pm \sqrt{17}[/tex]

Step-by-step explanation:

Rearrange the equation so it equals zero:

[tex]\begin{aligned} x^2+4 & =8x+5 \\ \implies x^2+4-8x-5 & = 0\\x^2-8x-1&=0\end{aligned}[/tex]

Now use the quadratic formula to solve for x:

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

[tex]a=1, \quad b=-8, \quad c=-1[/tex]

[tex]\implies x=\dfrac{-(-8) \pm \sqrt{(-8)^2-4(1)(-1)}}{2(1)}[/tex]

[tex]\implies x=\dfrac{8 \pm \sqrt{68}}{2}[/tex]

[tex]\implies x=\dfrac{8 \pm \sqrt{4\cdot 17}}{2}[/tex]

[tex]\implies x=\dfrac{8 \pm \sqrt{4}\sqrt{17}}{2}[/tex]

[tex]\implies x=\dfrac{8 \pm 2\sqrt{17}}{2}[/tex]

[tex]\implies x=4 \pm \sqrt{17}[/tex]

(50, 22.5) is the solution of the system of equations, therefore, the true statement would be: Both plans cost the same when 50 texts are sent.

A solution to the system of linear equations is the point of intersection where both line of each equation meet.

The solution to the system of linear equations given in the graph attached below is (50, 22.5).

(50, 22.5) implies that both plans will cost the total amount when 50 text are sent.

The true statement using the graph would be: Both plans cost the same when 50 texts are sent.

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Answer:

Both plans cost the same when 22 texts are sent

Step-by-step explanation:

on edge

Answer:

100cm²

Step-by-step explanation:

The notepad is square.

The area of a square = length X width.

All the sides of a square are the same length.

Therefore, the area of the notepad = 10 X 10 which equals 100.

Don't forget the units!

The units for area is cm².

The units for volume is cm³.

This is area so your answer is 100cm².

Hope this helped, have a nice day!

Answer:

C)    14 Units

Step-by-step explanation:

E2020

Answer:

23cm

Step-by-step explanation:

If you multiply like terms you will get the answers. Then you add last to get 23cm

The required length ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).

Given that,
Package that had a length of 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3.

How much ribbon would be needed to go around the package in centimeters is to be determined.

Perimeter is the measure of the figure on its circumference.

The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.

Quantity of ribbon = perimeter of the rectangular package
                            = 2 * length + 2* width
                            = 2 * (2x^2+3x-5/x^2+x-3) + 2(x^2-x-5/x^2+x-3)
                            = 2 (3x^2 + 2x -10) / (x^2 + x - 3)

Thus, the required length of  ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).

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Answer:

height = 7

Step-by-step explanation:

[tex]2\cdot\frac{42}{8.7 + 3.3} = 7[/tex]

Answer:

290

Step-by-step explanation:

Formula :

Number of action figures on wall = Total number of figures × % of figures on wall

=============================================================

Given :

⇒ Total number of action figures = 500

⇒ % of action figures on wall = 58%

=============================================================

Solving :

⇒ Action figures on wall = 500 × 58%

⇒ Action figures on wall = 500 × 58/100 (all % are ratios of 100%)

⇒ Action figures on wall = 5 × 58

⇒ Action figures on wall = 290

Total action figures

Done!

the third one

Step-by-step explanation:

Answer:

x = -8

y = 0

Step-by-step explanation:

The two shown equations can be added together:

   x + 4y = -8

+ ( x - 4y = -8 )

The two x's would combine to make two x, the 4y and -4y cancel out to zero, and -8 added to -8 is -16:

2x = -16

Therefore, x = -8. We can plug this into the first equation to get:

-8 + 4y = -8

Subtracting 8 on both sides yields:

4y = 0

Now divide by 4 on both sides to get

y = 0

We can check these values by plugging them into the second equation:

(-8) - 4(0) = -8

-8 - 0 = -8

-8 = -8

Since -8 always equals -8, the answer is correct.

Answer:

A, C, and D

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Answer:

  35.4 million

Step-by-step explanation:

We assume the description "increases by 10% per day" means the base of the percentage is the previous day's number of streams. Then the sequence of streams on consecutive days is a geometric sequence with a first term of 20 million and a common ratio of (1 +10%) = 1.10.

__

The n-th term of a geometric sequence is ...

  an = a1×r^(n-1) . . . . . where a1 is the first term, and r is the common ratio

The sequence of streams on consecutive days is then ...

  an = 20×1.10^(n-1) . . . . millions of streams on day n

For n = 7, the number of streams is ...

  a7 = 20×1.10^(7 -1) ≈ 35.4 . . . . million streams

There will be about 35.4 million streams on the seventh day.

Answer:

[tex]C= 62.8m[/tex]

Step-by-step explanation:

Let's round [tex]\pi = 3.14[/tex]. Area of a circle if [tex]\pi r^2[/tex]. In our case, we can easily find out the radius[tex]\pi r^2 = 100\pi \rightarrow r=10m^[/tex]. At this point, it's easy to find the length of the circumference by doubling it and multiplying again by [tex]\pi[/tex]:

[tex]C= 2\pi r = 62.8 m[/tex]

Answer:

1593 pandas 13 years ago.

Difference? ≈271 pandas

Keyword:

"Increase"

Step-by-step explanation:

Use the equation:

x + (x × P%) = y

x(1 + P%) = y

x = 1864/(1 + 17%)

x = 1864/(1 + 0.17(17%))

x = 1864/1.17

x = 1593.1624 ≈ 1593

Answer: 6 children

Step-by-step explanation:

Given:

Children - 24

Groups - 4

Number of children per group - x

Solve:

24 ÷ 4 = x

x = 6

Hope it helps!!! Please mark as brainliest. Thanks :D

Using it's concept, it is found that the desired probability is given by:

P(Take the bus | Junior) = 0.5714 = 57.14%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of the 13 + 20 + 2 = 35 Junior students, 20 take the bus, hence the probability is given by:

P(Take the bus | Junior) = 20/35 = 0.5714 = 57.14%.

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Answer:

2 1/6

Step-by-step explanation:

The answer is 2 1/6 because you should start by adding 3 1/2 + 2 1/3. This equals 5 5/6 feet. You should then subtract 8 - 5 5/6 because you are figuring out how much is left. When you subtract 8 - 5 5/6, you get 2 1/6. So 2 1/6 feet of the board is left.

Hope this helps!

Let's solve this problem step-by-step:

  ⇒ with our knowledge of PEMDAS

     ⇒ (look at the image attached)

Let's solve:

              [tex]\frac{9}n}+4 = > \frac{9}{-3}+4[/tex]

              [tex]\frac{9}{-3}+4=-3+4[/tex]

             [tex]-3+4=1[/tex]

Answer: 1

Hope that helps!

Answer:

0

3

3

3

8

9

12,161.71√

I think his is the best order