Jan completes 60 trials of pulling colored marbles out of a bag. She pulled green 15 times. If there are 250 marbles in the bag, how many of them are probably green?

Answer and Step-by-step explanation:

A) For the model to be a probability distribution, it has to follow two conditions:

1) The probability of each value of the discrete random variable is between, and included, 0 and 1:

2) The sum of all probabilities is 1;

In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;

Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1

Therefore, this model is a valid probability distribution model.

B) They are discrete because each value correspond to a finite number of possible values.

C) Expected value is calculated by

[tex]E(X) = \Sigma xP(x)[/tex]

[tex]E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3[/tex]

E(X) = 2.6

D) P(X=3) = P(3), which means probability of 3:

P(X=3) = 0.3

E) P(X<4): probabilities of values of X that are less than 4:

P(X<4) = P(0) + P(1) + P(2) + P(3)

P(X<4) = 0 + 0.3 + 0.1 + 0.3

P(X<4) = 0.7

F) P(X>0) = P(1) + P(2) + P(3) + P(4)

P(X>0) = 0.3 + 0.1 + 0.3 + 0.3

P(X>0) = 1

G) P(X=5) = P(5)

There is no probability of P(5) because the model doesn't "cover" that number.

H) P(X=0) = P(0)

P(X=0) = 0

I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.

The answers are given as- A) Model is a valid probability distribution model.

B ) The described random variable is discrete.

C ) Mean E(X) = 2.6

D)  P(X=3) = 0.3

E )  P(X < 4) = 2.6

F )  P(X > 0) = 1

G ) There is no probability of P(5)

H ) P(X = 0) = 0

I ) The total area of any density curve is 1

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

A) For the model to be a probability distribution, it has to follow two conditions:

In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;

Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1

Therefore, this model is a valid probability distribution model.

B) They are discrete because each value correspond to a finite number of possible values.

C) Expected value is calculated by

E(x) = ∑ P(x)

E ( x) = 0 + ( 1 x 0.3 ) + ( 2 x 0.1 ) + 3 ( 0.3 ) + 4 ( 0.3 )

E(X) = 2.6

D) P(X=3) = P(3), which means a probability of 3:

P(X=3) = 0.3

E) P(X<4): probabilities of values of X that are less than 4:

P(X<4) = P(0) + P(1) + P(2) + P(3)

P(X<4) = 0 + 0.3 + 0.1 + 0.3

P(X<4) = 0.7

F) P(X>0) = P(1) + P(2) + P(3) + P(4)

P(X>0) = 0.3 + 0.1 + 0.3 + 0.3

P(X>0) = 1

G) P(X=5) = P(5)

There is no probability of P(5) because the model doesn't "cover" that number.

H) P(X=0) = P(0)

P(X=0) = 0

I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.

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Answer:

The y-intercept would be 4

Step-by-step explanation:

Answer:

hope this helped! Can you give me brainliest please? :))

Step-by-step explanation:

A: -7

E: +6.9

Answer:

-2 1/36 or -2.028

Step-by-step explanation:

tik(tok) slapddaddy

Answer:

The answer is rational.

Step-by-step explanation:

It won' be irrational.

4.125 and 3 are rational.

Answer: The sum is a non-repeating

Step-by-step explanation:

Answer:

B. The y- axis

Step-by-step explanation:

If you look at a 4 quadrant graph you can see the line of the reflection

Answer:

8/9 is the correct answer for you problem

1 by 3 + 5 by 9 is equal to 8 by 9 this is your answer thank you

Exact Form: 5/2

Decimal Form: 2.5

Mixed Number Form: 2 1/2

Answer:

2.5 or 5/2 or 2 1/2

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

it just simple divide both sides by -4

-4x / -4 = 12/-4

x=-3

Answer:

-3

Step-by-step explanation:

Divide 12/-4  

Which equals -3 So that would be you answer

Answer:

The vector of magnitude 3 in the direction of [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex].

Step-by-step explanation:

Let be [tex]\|\vec u\| = 3[/tex] and [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex], the resultant in the direction of [tex]\vec v[/tex] can be obtained by using the following expression:

[tex]\vec u = \frac{\|\vec u\|}{\|\vec v\|} \cdot \vec v[/tex]

Where:

[tex]\|\vec v\|[/tex], [tex]\|\vec u\|[/tex] - Norms of [tex]\vec v[/tex] and [tex]\vec u[/tex], respectively.

Now, we get the norm of [tex]\vec v[/tex] by Pythagorean Theorem:

[tex]\|\vec v\| = \sqrt{12^{2}+(-5)^{2}}[/tex]

[tex]\|\vec v\| = 13[/tex]

The vector is now determined:

[tex]\vec u = \frac{3}{13} \cdot (12\,\hat{i}-5\,\hat{k})[/tex]

[tex]\vec u = \frac{36}{13} \,\hat{i}-\frac{15}{13}\, \hat{k}[/tex]

The vector of magnitude 3 in the direction of [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex].

Answer: its the first one bud

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

If you find the given values on the number line and compare them, you can see that -2 is further to the right than -2.5, so -2 is greater than -2.5.

The further to the right a number is, the greater it is.

Answer:

La abscisa x del centro de masa está en reposo (velocidades opuestas)

Vx = 0

La ordenada del centro de masa es:

y = h + Vo sen(α) t + Vo sen(α) t = h + 2 Vo sen(α) t

La velocidad es la derivada de y respecto del tiempo:

Vy = 2 Vo sen(α)

b) Momento lineal (p = m V)

En el eje x: px = 0 (momento lineal)

En el eje y: py = 2 m Vy = 4 m Vo sen(α)

dame corazon y 5 estrellas

Step-by-step explanation:

Answer:

$96 is the original price of  book

Step-by-step explanation:

keep the unknown value as X

(19.2/X)*100 = 20%

19.2/X = 0.2

19.2/0.2 = X

X = 96

The original price of the book is $24.

When there is a sales, the price of items become cheaper. Items become less expensive when there is a sale.

When there is a 20% reduction in the price of the book, the book becomes 80% (100 - 20%) cheaper. In order to determine the original price of the book, divide the sales price by 80%

Original price = $19.20 / 80%

= $19.20 / 0.8

= $24

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Answer:

√6

Step-by-step explanation:

The short leg is half the hypotenuse, so √8÷2=√2

The base is √3 times the short leg, so √2·√3=√6

Answer:

Joni.

Step-by-step explanation:

Joni's calculation is the closest to the actual value.

How much Wally was off: [tex]12.8-12.546=0.254[/tex]

How much Rex was off: [tex]12.8-12.59=0.21[/tex]

How much Amanda was off: [tex]12.8-12.69=0.11[/tex]

How much Joni was off: [tex]12.8-12.75=0.05[/tex]

She was off by 0.05, which is the smallest out of the other people.

This means that her calculation was the closest to the actual value of 12.8 oz.

Thus, her calculation is the most accurate.

Answer:

Simon used 50 blocks

Ron used 60 blocks

Together, they used 110 blocks.

Here is the question as an equation-

(5x10)+(6x10)=

Answer:

a) FKR and F'KR form supplementary angles

b) FK = F'K

   EF = E'F'

(They are reflected by mirror)

Hey there! I'm happy to help!

First let's combine all of the terms with a.

2a+2a=4a

Now the ones with b.

3b-b=2b

And the ones with c.

-4c+2c=-2c

So, our simplified expression is 4a+2b-2c.

Have a wonderful day! :D

Answer:

Option (3)

Step-by-step explanation:

Given expression is,

(6 × 10⁸) ÷ (1.5 × 10⁻⁴)

We can rewrite the given expression as,

[tex]\frac{6\times 10^8}{1.5\times 10^{-4}}[/tex]

Now by solving this expression further,

[tex]\frac{6\times 10^8}{1.5\times 10^{-4}}=\frac{6}{1.5}\times \frac{10^8}{10^{-4}}[/tex]

             [tex]=4\times 10^8\times 10^4[/tex] [Since [tex]\frac{1}{10^{-4}} =10^4[/tex]]

             = [tex]4\times 10^{(8+4)}[/tex]

             = [tex]4\times 10^{12}[/tex]

Therefore, Quotient of the given expression is [tex]4\times 10^{12}[/tex].

Option (3) will be the answer.

Answer: g(h(2))=8

Step-by-step explanation:

To find g(h(2)), you first need to solve h(2). After you find that value, you plug that value into g(x).

h(2)=2(2)-1                        [multiply]

h(2)=4-1                             [subtract]

h(2)=3

Now that we know h(2)=3, we plug 3 into g(x).

g(3)=3+5                            [add]

g(3)=8

After we have plugged in h(2) into g(x), we got g(h(2))=8.

Glad I can help you!!

Answer:

Definition: The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis.

The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.

If satisfied please leave a review and feel free to give me brainiest.

Answer:

F(x) = 44

Step-by-step explanation:

f(x) = 6x - 4

x = 8

f(x) = 6(8) - 4

f(x) =  48 - 4

Answer:

Step-by-step explanation:

f(8) = 6(8) - 4= 48 - 4 = 44

Answer:

56x = -152

Step-by-step explanation:

8(4+7x) + 6(-1 + 8)  = -78

32 + 56x - 6 + 48 = -78  

32 + 48 - 6

74 + 56x = -78

-74             -74

56x = -152

Answer:

[tex] \boxed{\sf {(3+\sqrt{2})}^2 = 11 + 6 \sqrt{2} } [/tex]

Step-by-step explanation:

[tex] \sf \implies {(3 + \sqrt{2} )}^{2} \\ \\ \sf \implies (3 + \sqrt{2} )(3 + \sqrt{2} ) \\ \\ \sf \implies 3(3 + \sqrt{2} ) + \sqrt{2} (3 + \sqrt{2} ) \\ \\ \sf \implies (3 \times 3) + (3 \times \sqrt{2} ) + ( \sqrt{2} \times 3) + ( \sqrt{2} \times \sqrt{2} ) \\ \\ \sf \implies 9 + 3 \sqrt{2} + 3 \sqrt{2} + 2 \\ \\ \sf \implies 9 + 6 \sqrt{2} + 2 \\ \\ \sf \implies 11 + 6 \sqrt{2} [/tex]

Answer:

Exact Form:

[tex]11 +6\sqrt{2}[/tex]

Decimal Form:

19.48528137…

Step-by-step explanation:

Rewrite [tex](3+\sqrt{2} )^2[/tex] as [tex](3+\sqrt{2} )+(3+\sqrt{2} )[/tex]

Expand [tex](3+\sqrt{2} )+(3+\sqrt{2} )[/tex] using the FOIL method.

Apply the distributive property.

    [tex]3(3+\sqrt{2} )+\sqrt{2} (3+\sqrt{2} )[/tex]

    [tex]3*3 +3+\sqrt{2} +\sqrt{2} (3+\sqrt{2} )[/tex]

    [tex]3*3 +3\sqrt{2} +\sqrt{2}* 3+\sqrt{2} \sqrt{2}[/tex]

Simplify and combine like terms.

       Simplify each term.

        [tex]9+3\sqrt{2} +3\sqrt{2} +2[/tex]

         Add 9 and 2

         [tex]11+3\sqrt{2} +3\sqrt{2}[/tex]

         Add [tex]3\sqrt{2}[/tex] and [tex]3\sqrt{2}[/tex]

          11+[tex]6\sqrt{2}[/tex]  

The result can be shown in multiple forms.

Exact Form:

 11+[tex]6\sqrt{2}[/tex]  

and

Decimal Form:

19.48528137

....

Answer:

Four and twenty nine thousandths

Step-by-step explanation:

Answer:

12.5 is to the nearest tenth

12.54 is to the nearest hundredth

Step-by-step explanation:

12.537

The first number after the decimal is the tenths place

we look at the number after it to determine whether to round up or down

12.53  the 3 is less than 5 so we leave it alone

13.5 is rounded to the nearest tenth

The second number after the decimal is the hundrdeths place

we look at the number after it to determine whether to round up or down

12.537  the 7 is greather than or equal to 5 so we round up

13.537  is rounded becomes 13.54

Answer:

Coordinates of B is (3,-4)

Step-by-step explanation:[tex]\frac{-7+x^{2} }{2}=-2[/tex]

[tex]\frac{2+y^{2} }{2} =-1[/tex]

You multiply -2 by 2 to get -4 and then create the equation [tex]-7+x^{2} = -4[/tex] then you substitue -7 for +7 and add +7 to -4 which gives you 3 (x coordinate of B)

You multiply -1 by 2 to get -2 and then create the equation[tex]2+y^{2} =-2[/tex] then you subtract 2 by -2 which gives you -4 (y coordinate of B)

To check your answer use the midpoint formula [tex]( \frac{x^{1} +x^{2}}{2} ) ( \frac{y^{1} +y^{2}}{2} )=M[/tex]

[tex]\frac{-7+3}{2} =\frac{-4}{2} =-2\\\frac{2+ -4}{2} =\frac{-2}{2} =-1[/tex]   which will give you the midpoint (-2,-1)

The required coordinate of the endpoint B is given as (3, -4).

A midpoint is a point on the line whose distance from both ends of the line is equal.

Here,
midpoints between any two points are given as,
x = x₁ + x₂ / 2    ; y = y₁ + y₂

since, the midpoint of AB is M(-2, -1). If the coordinates of A are (-7, 2),

So we have (x , y) = (-2, -1) and A(x₁, y₁) = (-7, 2), and to determine B(x₂, y₂)

Now.
x = x₁ + x₂ / 2    ; y = y₁ + y₂/2

-2 = -7 + x₂ /2  ; -1 = 2 + y₂ /2
x₂ = 3               ; -4

Thus, the required coordinate of the endpoint B is given as (3, -4).

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Speed(Km/hr)___No of players__Relative freq

10--13.9_________4______4/612 = 0.0065359

14-17.9_________ 7______7/612 = 0.0114379

18-21.9________20_____20/612 = 0.0326797

22-25.9_______ 83_____83/612 = 0.1356209

26-29.9_______319____319/612 =0.5212418

30-33.9______ 179_____179/612 = 0.2924836

The percentage of players that had a top speed between 22 and 25.9 km/h was : 0.1356209 × 100 = 13.56%

c. The percentage of players that had a top speed less than 13.9 km/h was: 0.0065359 × 100 = 0.65%