Two fair dice, one yellow and one blue, are rolled. The value of the blue die is subtracted from the value of the yellow die. Which of the following best describes the theoretical probability distribution?

Answer:

16

Step-by-step explanation:

[tex](a+5)-\frac{b}{b-4}+\frac{2(b+3)}{a}\\\\a=2\\\\b=3\\\\(2+5)-\frac{3}{3-4}+\frac{2(3+3)}{2}\\\\=7-\frac{3}{-1}+3+3\\\\=7+3+6\\\\=16[/tex]

Answer:

So the first term is two so you start on the second term. 15,28,41

An arithmetic sequence having first term 2 and a common difference of 13 then the next terms are 15, 28 and 41.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, An arithmetic sequence having first term 2 and a common difference of 13.

Therefore the next terms are (2+13), (2 + 2×13), (2 + 3×13).

= 15, 28, and 41.

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Answer:

[tex]A = \frac{C - By}{x}[/tex]

Step-by-step explanation:

Given

[tex]Ax + By = C[/tex]

Required

Solve for A

The question implies that we make A the subject of the formula.

Start by subtracting By from both sides of the equation by x

[tex]Ax + By - By= C - By[/tex]

[tex]Ax = C - By[/tex]

Divide both sides by x

[tex]\frac{Ax}{x} = \frac{C - By}{x}[/tex]

[tex]A = \frac{C - By}{x}[/tex]

Solved

Answer:

Assuming I'm one of the 36 English speakers and the other 24 speak Spanish for illustration purposes.  The problem can be modeled as 59 marbles with 35 E and 24 S marbles as N = 59 possible outcomes = n(E) + n(S) = 35 + 24.

So I reach into the pile of marbles (on the beach) and the probability that it's p(E) = n(E)/N = 35/59 = 0.593220339 when I meet the one person. ANS

I assume I remember that first person; so I remove him from the marbles (by avoiding him on the beach) and now my probability is p(E and E) = n(E)/N * n(E)-1/(N - 1) = 35/59*34/58 = 0.347749854 ANS

Following the same logic p(E and E and E) = 35/59*34/58*33/57 = 0.201328863 ANS

This last one is different from the first three.  This one is p(E >= 1|4 attempts).  We can trace out a probability tree to identify those branches that contain at least one E event.  So:

EEEE p() = 35/59 * 34/58 * 33/57 * 32/56 =  

EEES p() = 35/59 * 34/58 * 33/57 * 24/56 =

EESE p() = 35/59 * 34/58 * 24/57 * 33/56 =

ESEE p() = 35/59 * 24/58 * 34/57 * 33/56 =

SEEE p() = 24/59 * 35/58 * 34/57 * 33/56 =

EESS p() = 35/59 * 34/58 * 24/57 * 23/56 =

ESES p() = 35/59 * 24/58 * 34/57 * 23/56 =

SEES

SESE

SSEE

ESSS  And so on, but...a big BUT...why do all this when

SESS

SSES

SSSE

SSSS

p(E>=1|4) = 1 - p(S and S and S and S) = 1 - 24/59 * 23/58 * 22/57 * 21/56 = 0.976652619   ANS.  In other words we find the probability of not meeting an Englishman and take 1 minus that value to find the probability of meeting at least one.

00

Step-by-step explanation:

Answer:

7 red weights and 2 purple

Step-by-step explanation:

Answer:

5 purple weights and 5 red weights

Step-by-step explanation:

Answer:

You should buy the watch from Store A because it's cheaper

Step-by-step explanation:

Store A sells a watch for $50 with a 5% discount.

Let's calculate the sale price. The 5% discount is

5/100*$50 = $2.50

The sale price is $50 - $2.50 = $47.50

Now for Store B. The price of the watch was $60 with a 20% discount.

Calculate 20% of $60:

20/100*$60 = $12

The sale price is $60 - $12 = $48

Thus, you should buy the watch from Store A because it's cheaper

Answer:

(1.985, 15.815)

Step-by-step explanation:

Given that:

Sample size (n) = 20

Standard deviation (s) = 11.986

Mean (m) = 8.9

α = 99%

Using the relation :

Confidence Interval = Mean ± Error

Where ;

Error = Zcritical * standard deviation / sqrt(n)

Zcritical at 99% = 2.58

Hence,

Error = 2.58 * (11.986/sqrt(20))

Error = 2.58 * 2.6801510

Error = 6.91478958

Hence,

Lower boundary = 8.9 - 6.91478958 = 1.98521042

Upper boundary = 8.9 + 6.91478958 = 15.81478958

(1.985, 15.815)

Answer:

x> -5/13

Step-by-step explanation

Step-by-step explanation:

this is you're answer 38

Answer:

x=3

Step-by-step explanation:

2 = 7x−4−5x

2 = 2x−4

2+4 = 2x

6 = 2x

​[tex]\frac{6}{2}[/tex] = x

3 = x

x = 3

It's like walking but faster, so you go faster like sonic lol.

Answer:

a d f g

Step-by-step explanation:

Answer:

its abfg

Step-by-step explanation:

Answer:

Answer is 10.86

Step-by-step explanation:

12x11/14 + 10/7

=132/14 + 20/14

=152/14

=10.86

Answer:

3/2 mph

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] = [tex]\frac{r}{4}[/tex]

cross-multiply: 8r = 12

r = 12/8 or 1.5 mph

Answer:

36/5 or 7 1/5

Step-by-step explanation:

4 divided by 5/9

4 x 9/5.        change the divide to multiply & the fraction to the reciprocal

=36/5 or 7 1/5

Answer:

c )  y = –1∕4 (x – 3)2 + 2

Step-by-step explanation:

Answer:

directrix is; y= {-5}

Step-by-step explanation:

Answer:

x = 15

y = 19

The value of the x and y are; 11/6, -5 and  18/4 in the linear equation.

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given parameters;

The equations are;

(4y - 18)

(6x - 11)

(x + 5)​

Now put all equation equal to zero.

Then;

4y - 18 = 0

y = 18/4

And then;

6x - 11 = 0

x = 11/6

And

x + 5 = 0

x = -5.

Hence, In the linear equation, value of the x and y are 11/6, -5 and  18/4.

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Answer: 7

Work: So, the goal is to get z alone, so we are going to add 85 on both sides, cancelling on the side it's currently on. So, the new equation is going to be 25z = 175. Then, to get z even more lonely, we are going to divide 25 on both sides, and again cancelling it on the side it's currently on. So, the answer is z = 7. I hope this helps, and Happy Holidays! :)

Answer:

1  1/5

Step-by-step explanation:

1 and 1 fifth as a fraction.

Answer:

8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I checked on khan

Answer:

Solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]

Step-by-step explanation:

We need to solve the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex]

We know that [tex]\sqrt{x} = x^{\frac{1}{2}}[/tex]

Solving:

[tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}\\=((\sqrt{21}-2\sqrt{7} )^2)^\frac{1}{2}[/tex]

We know that [tex](a^2)^\frac{1}{2}=a[/tex]

= [tex]\sqrt{21}-2\sqrt{7}[/tex]

So, solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]

Answer:

the peel

Step-by-step explanation:

Answer:

25 meters per minute

150 in 6 minutes

Step-by-step explanation:

Answer: -5

Step-by-step explanation:

parallel lines have equal/same slope

Answer:

8 species are from South America

Step-by-step explanation:

In order to find the answer to this, you need to make the denominators of the North American and African species the same.

To do this, multiply 1/4 x 2/2.

You would then get 2/8. This means 2/8 of the species are African

Since you now have the same denominator, add the fractions together, and the total amount of North American and African species is 7/8, leaving 1/8 for the South American species.

You would then divide 64 by 8 to see how much 1/8 is worth in terms of how many species, and would then get 8.

Answer:

6v^5

Step-by-step explanation:

you would leave the 6 alone. since there is 5 of the same variable, you would put 5 as your exponent