Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6) and all outcomes
are equally likely. P(less than 5)

Answer: x=5

x= 2

Step-by-step explanation:

Answer:

2.478x10^7

Step-by-step explanation:

They give you each radius, so you just add them together.

15,300,000+9,480,000=24,780,000 = 2.478x10^7

(or)

1.53x10^7+0.948x10^7= 2.478x10^7

Answer:

2. Dependent events

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer and Explanation:

If, on the other hand, the graph "flexes" or "flattens out" to some degree when it goes to cross the axis, then the zero is of a higher multiplicity; that is, it'll be of multiplicity three, five, or higher.

When a graph doesn't start at 0, it means that the graphs before it is not shown.

For number 4, I'd suggest Graph 3.

For number 3, I'd suggest graph 1.

For number 5, Write something along the lines of "Graph 2 does not show the car stopping slowly, it stops suddenly. Then it starts going really fast and stops suddenly again."

I hoped this helped.

Answer:

The answer is below

Step-by-step explanation:

Let B₁ represent box 1, B₂ represent box 2, E₁ represent the event of selecting box 1, E₂ represent the event of selecting box 2 and R represent the event of selecting a red ball.

Given that:

Probability of selecting box 2 P(E₂) = 2/3, Probability of selecting box 1 = P(E₁) = 1/3

Probability of selecting red ball from box 1 = P(R | E₁) = 4/6 [4 red balls out of 4 red, 2 green]

Probability of selecting red ball from box 2 = P(R | E₂) = 2/6 [2 red balls out of 2 red, 4 green]

a)

Given the ball is red, the probability it was selected from the first box is:

[tex]P(E_1|R)=\frac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)} =\frac{2/3*1/3}{(2/3*1/3)+(1/3*2/3))} =\frac{1}{2}[/tex]

b)

Given the ball is red, the probability it was selected from the second box is:

[tex]P(E_2|R)=\frac{P(R|E_2)P(E_1)}{P(R|E_2)P(E_2)+P(R|E_1)P(E_1)} =\frac{1/3*2/3}{(1/3*2/3)+(2/3*1/3))} =\frac{1}{2}[/tex]

c)

We can see that both probabilities are equal. Although we have more red balls in box 1 (twice as much) than in box 2 but the probability of selecting from box 2 (is twice as much) than from selecting from box 1.

The probability that the ball selected is red and it is selected from the first box is 1/2 and the probability that the ball selected is red and it is selected from the second box is 1/2.

Given :

a) The probability that the ball selected is red and it is selected from the first box is:

[tex]P(E_1|R)=\dfrac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]

[tex]P(E_1|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]

[tex]P(E_1|R)=\dfrac{1}{2}[/tex]

b) The probability that the ball selected is red and it is selected from the second box is:

[tex]P(E_2|R)=\dfrac{P(R|E_2)P(E_2)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]

[tex]P(E_2|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]

[tex]P(E_2|R)=\dfrac{1}{2}[/tex]

c) The probability that the ball selected is red and it is selected from the first box and the probability that the ball selected is red and it is selected from the second box is the same.

For more information, refer to the link given below:

https://brainly.com/question/795909

Answer:

? = 5n + 6

Explanation:

Answer:

5x + 6

Step-by-step explanation:

Let the number = x. 5 times x = 5x. So, the equation 5x + 6.

Answer:

It weighs 850 pounds

Step-by-step explanation:

Have a nice day

Answer:

26

Step-by-step explanation:

182 pencils devided by 7 identical boxes

182÷7

=26 pencils are in each box

Answer:

15 pencils in each box

Step-by-step explanation:

If each box has 11 pens,then there are 77 pens

In total 182 pencils and pens

182-77 = 105 (105 pencils)

105/7 = 15

15x7 = 105

11x7 = 77

 105 +77 = 182

Answer:

-32????

Step-by-step explanation:

I don't see an actual question here, so my three answers that I got from this post are:

-32

<32

>-32

Answer:

Step-by-step explanation:

Where's the line?

Answer:

Step-by-step explanation:

Let tacos be x and burritos be y

So, Avery purchased 4x+2y = 21

Sasha purchased 4x+3y = 26.5

Solving the 2 eqns:

4x+2y=21

-4x-3y=-26.5

-y=-5.5

The cost of one burrito is $5.5

Answer:

A=3

B=3

C=2.5

D=5

E=1

F=2

G=4

Here you go! Happy to help!

Step-by-step explanation:

Given:

A straight line goes through (-2,1), (0,0), and (2,-1).

To find:

The slope of the given line.

Solution:

Slope formula

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Consider any two points from the given points.

The line goes through (-2,1) and (0,0). So, the slope of the line is

[tex]m=\dfrac{0-1}{0-(-2)}[/tex]

[tex]m=\dfrac{-1}{2}[/tex]

Therefore, the slope of the line is [tex]m=-\dfrac{1}{2}[/tex].

Answer:

its 2/3

Step-by-step explanation:

Answer:

Let n and n+4 be the numbers. Then:

n² + 3(n+4)=66

n²+3n-54=0

(n+9)(n-6)=0

n=6 or -9

n+4=10

Assuming positive integers only, the numbers are 6 and 10…..

Step-by-step explanation:

100% right

Natural number are those number that is used for the purpose of counting and ordering. The two natural numbers are 4 and 6.

Natural number are those number that is used for the purpose of counting and ordering. It is denoted by 'N'.

Let the first number(bigger number) be 'a', and the smaller number be b.

As it is given that the first number is 4 more than the second number. Therefore, the equation can be written as,

a = b + 4

Now, it is given that the product of the two numbers is three times the square of the smaller number. Since, when we add four to b we get a, therefore, b is the smaller number. Therefore, the equation can be written as,

[tex]ab = 3(b^2)\\[/tex]

As the value of a = b+4, substitute the value of a,

[tex](b+4)b = 3(b^2)\\\\(b+4) = \dfrac{3b^2}{b}\\\\b+4 = 3b\\\\4=3b-b\\\\4=2b\\\\b = 2[/tex]

Thus, the value of b is 2.

In order to get 'a' add 4 to the value of b, therefore, the value of a is,

[tex]a = b+4\\\\a = 2+4 \\\\a=6[/tex]

Hence, the two natural numbers are 4 and 6.

Learn more about Natural numbers:

https://brainly.com/question/17429689

Answer:

76

Step-by-step explanation:

Answer:

Looks like all of your questions have been answered.

Answer:

54.

Step-by-step explanation:

( 8 + √ 10 ) ( 8 − √10)

= 8*8  - 8√10 + 8√10  +√10 *  -√10

= 64 -  8√10 + 8√10 - 10

The 2 middle turns cancel out so we have:

64 - 10

= 54.

Answer:

^2 + 2x-15

Hope this helps

12x4=48

48-32=16

4-2=2

16 divided by 2=8 birds

Answer:

4 cats, 8 birds

Step-by-step explanation:

make a system of equations and solve.

Answer:

The slope is 0

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-8,0)[/tex]

[tex](x_2,y_2) = (4,0)[/tex]

Required

The slope (m)

This is calculated as"

[tex]m=\frac{y_2-y_1}{x_2 - x_1}[/tex]

[tex]m=\frac{0-0}{4 -(-8)}[/tex]

[tex]m=0[/tex]

The slope is 0

Answer: 3. 22-8 / 4. 2x3.5 / 5.

Step-by-step explanation:

Step-by-step explanation:

1. 1×8=8

2. 9×2=18

3. 8+14=22÷2=11

4. 2.7

5. -1.5

6. closest -2.5

7.÷2=10-3=7

Answers

Step-by-step explanation:

Answer:

2 to 3, 4 to 6, 8 to twelve

Step-by-step explanation:

the boys are first, girls second

Answer: 3:2 ... 9:6... 27:18 you can put 81:54 too

Step-by-step explanation: