Simplify by factoring. √1350x^4

The points the blue marble should be worth for the game to be fair is given by: Option C: 8

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.

Thus, if the random variable is X, and its probability mass function is given : f(x) = P(X = x), then we have:

[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]

(n is number of values X takes)

For the game to be fair, the expected number of points that one can loose should be equal to the expected number of points one can gain.

Now, probability of getting any specific colored marble = 1/5 = 0.2 (since there is one way to choose a specified colored marble, but there are 5 ways to choose a single (no color specified) marble out of 5 marbles.

The game would be fair if there is equal chance of winning and loosing.
Let we have:

Then we need E(X) = expectation of X = 0 (since the negative points of loosing would equate to positive point of winning, thus, making the expected overall score 0, thus, making game fair.

Values of  X = -2(if lost, or say chose any four colored marble except blue marble), or p(if won, or say chose blue colored marble)

(its because choosing one marble from 5 marbles can be done in 5 ways, so n(S) = 5, and choosing 1 blue marble out of 5 different colored marble can be done in 1 way, and choosing 1 non-blue marble out of 5 different colored marble can be done in 4 ways)

Thus, we get:

[tex]E(X) = -2 \times P(X = -2) + p \times P(X = p)\\E(X) = -2 \times 4/5 + p \times 1/5\\0 = -8/5 + p/5\\0 = -8 + p\\p = 8[/tex]

Thus, the points the blue marble should be worth for the game to be fair is given by: Option C: 8

Learn more about expectation of a random variable here:

https://brainly.com/question/4515179

Answer:

8. Absolute values are always positive.

Answer:

B

Step-by-step explanation:

So we have:

[tex]\frac{x^{\frac{2}{3}}}{y^{\frac{-3}{4}}}[/tex]

First, we recall that we can switch an exponent from the denominator to the numerator if we multiply the exponent by -1 and vice versa. Therefore:

[tex]=x^{\frac{2}{3}}}\cdot {y^{\frac{3}{4}}[/tex]

Now, use the following property:

[tex]a^{x/n}=\sqrt[n]{a^x}[/tex]

Therefore:

[tex]x^{\frac{2}{3}}=\sqrt[3]{x^2}[/tex]

And:

[tex]y^{\frac{3}{4}}=\sqrt[4]{y^3}[/tex]

And so together:

[tex]=x^{\frac{2}{3}}}\cdot {y^{\frac{3}{4}}\\=\sqrt[3]{x^2}\cdot\sqrt[4]{y^3}[/tex]

Our answer is B :)

Answer:

B

Step-by-step explanation:

the answer is the letter b

Answer:

$35.87

Step-by-step explanation:

912.80 - 482.36 = 430.44

430.44 divided by 12 = 35.87

Answer:

$35.87

Step-by-step explanation:

Let's first find out how much more they need to raise in total.

912.80 - 482.36 = 430.44

Now, if everyone contributes the same amount, they each need to contribute one twelfth of this amount.

430.44/12 = 35.87

Answer: Each athlete needs to contribute $35.87 more

Answer:

[tex]a = \frac{b}{2+ y}[/tex]

Step-by-step explanation:

Given

[tex]ay = b- 2a[/tex]

Required

Solve for a

[tex]ay = b- 2a[/tex]

Add 2a to both sides

[tex]2a + ay = b- 2a + 2a[/tex]

[tex]2a + ay = b[/tex]

Factorize

[tex]a(2 + y)= b[/tex]

Divide through by 2 + y

[tex]a = \frac{b}{2+ y}[/tex]

Answer:

a = b/(y + 2)

Step-by-step explanation:

Solve for a:

a y = b - 2 a

Hint: | Isolate a to the left hand side.

Add 2 a to both sides:

a (y + 2) = b

Hint: | Solve for a.

Divide both sides by y + 2:

Answer: a = b/(y + 2)

Answer:

the magnitude is 7

Step-by-step explanation:

as i means unit vector along x-axis so the magnitude of i is 1 and now,

= 12 - 5×1

= 12- 5

= 7

Step-by-step explanation:

3(-x+2x+1)=x-1

3(x+1)=x-1

3x+3=x-1

3x-x=-1-3

2x=-4

x=-2

Answer: 2.7  and 159.4

Step-by-step explanation:

To round numbers tot he nearest tenth,check their tenth digit and if the next number that comes before it is equal or greater than 5, then round that tenth digit up by 1.  

The number  2.65  , number 6  is in the tenth place and the number next to it which is 5 is in the hundredths place so to to the nearest tenth will be  2.7  .

The second number 159.39  the tenth place digit is 3 and the number next to it is greater than 5 so after rounding you will get  159.4

Answer:

B, C , D

Step-by-step explanation:

Inequalities have <, > , ≤, ≥

A and E are expressions

The inside angle for B, which is labeled x is the same as the outside angle of D which is labeled as 72, so we know x = 72.

In a parallelogram two angles next to each other equal 180, so angle A and angle B equal 180.

We know B = 72, so A = 180-72 = 108

Angle A is divided in 2 by angle y, so y = 108/2 = 54

Answers: x = 72

Y = 54

Answer:

33.33%

Step-by-step explanation:

There are a total of 102 students that enjoy watching soccer most.

Of those 102, 34 are middle school students; that makes the relative frequency 34/102 = 33.33%.

Answer:

33.33

Step-by-step explanation:

Answer:

185-65÷2=120 that the answer

Answer:

55 miles

Step-by-step explanation:

d= 185 - 2*65

d=185 - 130

d= 55 miles

Answer:

16

Step-by-step explanation:

2/3 * 24 = 16

Answer:

A

Step-by-step explanation:

"8 times" = 8 must be alone and not being multiplied or subtracted from anything

"the quantity of" is asking for a number

"5 less than 10" = 5, so we must see (10 - 5) in the correct answer

so we get 8 times 5, or 8(10 - 5)

Answer:

9

Step-by-step explanation:

18÷2=9

So, Ann could have 9 rows of posters with 2 posters in each row.

Answer:330

Step-by-step explanation: LxWxH

10x9x2 +10x3x5=330cm

Distance = speed x time

Distance = 68 x 4 1/2

Distance = 306 miles

Answer: 306 miles

Step-by-step explanation:

Speed= distance/time

Distance= speed•time

Time= distance/speed

Answer:

5

Step-by-step explanation:

Answer:

Ordinal

Step-by-step explanation:

Level of measurement used in statistics summarizes what statistical analysis that is possible. There exist three types of level of measurement. The nominal, ordinal and Interval/Ratio level of measurement. Here, our primary focus will be the Ordinal level of measurement.

Ordinal level of measurement indicates the position in a sequence. In the military sector, the officer's rank is said to be Ordinal. This implies that the ordinal level of measurement categorizes variables according to hierarchy or ranks with a meaningful order. Still, the intervals and differences between the variables may not be equal.

find the answer of 7x5, put a dot on the zero and go backwards from there till you reach 35 on the number line.

Answer:

The value of f(-1) in the given equation is -10.

Step-by-step explanation:

When we see f(-1), it means that -1 is represented as our value of x. So, knowing this information, we can plug this into our given equation.

f(-1) = -3(-1)² + 2(-1) - 5

Simplify the exponent on -1.

f(-1) = -3(1) + 2(-1) - 5

Multiply -3 by 1.

f(-1) = -3 + 2(-1) - 5

Multiply 2 by -1.

f(-1) = -3 - 2 - 5

Subtract 2 from -3.

f(-1) = -5 - 5

Subtract 5 from -5.

f(-1) = -10

The function defined by [tex]f (x) = -3x^2 + 2x - 5[/tex] when x = -1 is -10

Given the function [tex]f (x) = -3x^2 + 2x - 5[/tex]

To get f(-1), we will substitute x = -1 into the function to have:

[tex]f (-1) = -3(-1)^2 + 2(-1) - 5 \\f(-1)=-3-2-5\\f(-1) =-10[/tex]

Hence the function defined by [tex]f (x) = -3x^2 + 2x - 5[/tex] when x = -1 is -10

Learn more on functions here: https://brainly.com/question/20384115

Answer:

First of all you will start by saying 2-4=-2.

-2(-8b+1)=3b+6.

16b-2=3b+6.

13b=8.

b=8/13.

b=0.6153~0.62.

Responder:

Por favor, consulte la explicación.

Explicación paso a paso:

Dado que :

Número total de movimientos realizados:

5 (2 movimientos hacia abajo y 3 movimientos hacia arriba) para llegar al noveno piso desde la planta baja.

Tome el movimiento hacia abajo como (-)

Movimiento ascendente como (+)

Número de pisos entre la planta baja (0) y el 9 ° piso: (9-0) = 9

Usando el operador de multiplicación, podemos obtener el número de pisos movidos hacia arriba y hacia abajo antes de llegar al noveno piso.

9 * 3 = 27 pisos (hacia arriba)

9 * 2 = 18 pisos (hacia abajo)

Cheque:

27 - 18 = 9

Answer:

15-7=8

8×2=16

t=16

.....

Answer:

t = 16

Step-by-step explanation:

t/2+7=15

Subtract 7 from each side

t/2 +7-7 = 15-7

t/2 = 8

Multiply each side by 2

t/2*2 = 8*2

t = 16

Answer:

  6 different rays can be named

Step-by-step explanation:

The total number of rays that can be named by 3 points is the number of permutations of 3 objects taken 2 at a time: 3!/(3-2)! = 6. The 6 rays that can be named are ...

  AB AC BC CB CA BA

Answer:

-11/2

Step-by-step explanation:

According to the information given, you can write the following:

3(-5/3)-x=1/2, where x is the number that should be subtracted from thrice the rational number -5/3 to get 1/2.

Then, you can solve for x:

-15/3-x=1/2

-5-x=1/2

x=-5-1/2

x=-11/2

According to this, the answer is that -11/2 is what should be subtracted from thrice the rational number -5/3 to get 1/2.