what is the value of x

Using the negative binomial distribution, it is found that:

a) [tex]E(X) = 15[/tex]

b) [tex]Var(X) = 6.67[/tex]

c) [tex]P(X = 12) = 0.0883[/tex]

Negative binomial distribution:

It is the number of trials until q successes of a binomial variable, with p probability of success.

The expected value is:

[tex]E(X) = \frac{q}{p}[/tex]

The variance is:

[tex]Var(X) = \frac{pq}{(1 - p)^2}[/tex]

The probability mass function is:

[tex]P(X = x) = C_{x+q-1,q-1}(1 - p)^xp^q[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, the parameters are: [tex]q = 6, p = 0.4[/tex].

Item a:

[tex]E(X) = \frac{6}{0.4} = 15[/tex]

Item b:

[tex]Var(X) = \frac{6(0.4)}{(1 - 0.4)^2} = 6.67[/tex]

Item c:

[tex]P(X = 12) = C_{17,5}(0.6)^12(0.4)^6 = 0.0883[/tex]

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Answer:

1/8

Step-by-step explanation:

I took the test this is it

Answer:

first of all take LCM OF THE denominator and solve it as shown

Answer:

A

Step-by-step explanation:

You have to move the decimal 5 places to the left to get 2

=0.75 times 3000=2250

Step-by-step explanation:

The graph has a slope of 0.5 and a y-intercept of 5

The equation is given as:

A linear equation is represented as:

Where m represents the slope, and c represents the y-intercept

So, by comparison:

m = 0.5

c = 5

This means that:

The slope is 0.5, and the y-intercept is 5

Hence, the graph of  has a slope of 0.5, and a y-intercept of 5

See attachment for the graph of

A

i know its a because the other kids'answer is wrong.

Answer: A number with the same absolute value of 23 is -23.

Explanation: The absolute value of a number is how far it is from zero, and the absolute value of a number is always positive, unless the number is 0, in which case the absolute value is neutral, and the absolute value is 0.

Examples: 6 is 6 away from zero, so the absolute value of 6 is 6.

−6 is 6 away from zero, so the absolute value of −6 is 6.

The number that has the same absolute as 23 is -23.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

An absolute number x is denoted by |x|

If x = -x,

|-x| = x

Now,

|23| = 23

|-23| = 23

So,

-23 has the same absolute value as 23.

Thus,

-23 is the number.

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Answer:

7(4q+5)..................

Answer:

Below in bold.

Step-by-step explanation:

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

y - (-1)) = -2/5(x - -10)

y + 1 = -2/5(x + 10)

y  + 1 = -2/5x - 4

y = -2/5x - 5.

In standard form this is:

2x + 5y = -25.

Answer:

7.25 + S ≤ 32

Step-by-step explanation:

Our initial value is 7.25, and that is to watch the movie. Next, the absolute max he can spend is 32, or he would have negative money, which he cannot have. Therefore, we use the ≤ sign and point it as 32, to show that it must be less than or equal to our total of 32. Then, we can represent the money they spend on shopping with s

[tex]\mathfrak{5x + 15 = 28} [/tex]

[tex]\mathfrak{5x = 28-15} [/tex]

[tex]\mathfrak{5x = 13} [/tex]

[tex]\boxed{\mathfrak{x = \dfrac{13}{5}}} [/tex] → option B.

[tex]\mathbb{MIREU} [/tex]

Answer:

B

Step-by-step explanation:

The first thing you need to do is,

28 - 15

which is 13.

Now look at the answer choices and multiply them by 5.

It cannot be C or D because it would not fit the equation.

If anyone of them equal 13 then it is the answer.

Now lets try it.

43/5 = 8.6

13/5 = 2.6

8.6 times 5 is way to big so A is not it.

2.6 times 5 is 13.

So it is B.

Answer:

x = 10

y = 6

Step-by-step explanation:

Multiply second equation with -1 and then add it up with first equation

(-1)*(6x - 7y) = 18

-6x + 7y = -18

6x - 6y - 6x + 7y = 24 - 18 add like terms

y = 6 to find the value of x use this information

6x - 6y = 24 replace y with 6

6x - 6*6 = 24

6x - 36 = 24 add 36 to both sides

6x = 60 divide both sides by 6

x = 10

Answer:

0.6

Step-by-step explanation:

3/5=0.6

Answer:

the answer is 5

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Answer:

26/25x^2+25x or x=0,x=-1

Step-by-step explanation:

Answer:

x = 5/2

Step-by-step explanation:

(4^3x)/(2^4x) = 32

(2^6x)/(2^4x) = 32

2^2x = 32

2^2x = 2^5

2x = 5

x = 5/2

Answer:

the answer would be 7/5

Step-by-step explanation:

2 of them would already make a whole, and if you add another one, it's going to be more than just one pitcher of lemonade.

Answer:

Answer B- 1034

7% annual rate is 70. divide by 52 (total amount of weeks in a year) =1.35. 1.35 × 25=33.75 rounded up 34. 1000+34=1034

[tex]\begin{cases} f(x) = x^4+14x\\ g(x) = 6-x \end{cases}\qquad \qquad h(x) = f(x) + g(x) \\\\\\ h(x) = (x^4+14x)+(6-x)\implies h(x) = x^4+14x-x+6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill h(x) = x^4+13x+6~\hfill[/tex]

now, if we graph h(x), Check the picture below, we can see that horizontally the line keeps on moving towards the left, going going and going towards -infinity, and it also keeps on moving towards the right, going going and going towards +infinity, and since the horizontal area used by the function is the domain of it, the domain for h(x) will be (-∞ , +∞).

Answer:

first option

Translate seven left followed by mirror over y = 2

Step-by-step explanation:

The solution is Option A.

The translation of triangle MNP to triangle STR is a translation of 7 units to the right and a reflection along R = 2

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:  y=f(x+c) (same output, but c units earlier)

Right shift by c units:  y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the triangle be represented as MNP

Now , the transformed triangle be STR

Now , the translation is given as

Step 1 :

The coordinates of triangle is MNP

M = M (-5 , 2 )

N = N ( - 8 , 5 )

P = P ( -2 , 4 )

Now , the translation of 7 units to the right will result in

M' = M' ( 2 , 2 )

N' = N' ( -1 , 5 )

P' = P' ( 5 , 4 )

Step 2 :

The coordinates of the translated triangle M'N'P' is

M' = M' ( 2 , 2 )

N' = N' ( -1 , 5 )

P' = P' ( 5 , 4 )

Now , on reflection of triangle M'N'P' by R = 2 , we get

S = S ( 2 , 2 )

T = T ( -1 , -1 )

R = R ( 5 , 0 )

Hence , the translation of triangle MNP to triangle STR is a translation of 7 units to the right and a reflection along the R = 2

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Answer: The answer is 4,500.

Explanation: 450 x 10 = 4,500.

Ten times as great as 450 is 4500.

We need to find what is ten times as great as 450.

When we multiply two numbers, the answer is called product. The number of objects in each group is called multiplicand, and the number of such equal groups is called the multiplier.

Multiplication step:

Now, ten times as great as 450=10×450=4500

Therefore, ten times as great as 450 is 4500.

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[tex]2x-3y = 7~~~....(i)\\\\y = 3x -7~~~....(ii)\\\\\\\text{Substitute}~ y = 3x -7~ \text{in equation (i):}\\\\\\2x-3(3x-7) = 7\\\\\implies 2x -9x + 21 =7\\\\\implies -7x = 7 -21\\\\\implies -7x = -14\\\\\implies x = \dfrac{-14}{-7} = 2\\\\\\\text{Substitute x = 2 in equation (ii):}\\\\y=3(2) -7 = 6 -7 = -1\\\\\\\text{Hence (x,y) =(2,-1)}[/tex]

Answer:

2,017

Step-by-step explanation: 2 meters= 2,000

So, 2,000+17= 2,017

2017 millimeters are in 2 meters, 17 millimeters as per the given unit conversion rate.

A statement of the connection between units that are used to alter the units of a measured quantity without affecting the value is called a conversion factor. A conversion ratio (or unit factor), if the numerator and denominator have the same value represented in various units, always equals one (1).

Given, 1 meter is equal to 100 centimeters or 1,000 millimeters.

To calculate the total number of millimeters in 2 meters, 17 millimeters.

Since,

millimeters in 1 meter = 1000

Thus,

millimeters in 2 meter = 2000

millimeters in 2 meters, 17 millimeters = 2017

Therefore, there is 2017 mm in 2meteres, 17 mm as per the given unit conversion.

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The strategy that won't help her to calculate 9 - 7 is (a) Make 10

The given parameters are:

[tex]Yellow = 7[/tex]

[tex]Red = 9[/tex]

To determine 9 - 7,

However, she cannot make 10.

This is so, because 9 and 7 are not up to 10

Hence, the strategy that won't help her to calculate 9 - 7 is (a)

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Answer:

  72

Step-by-step explanation:

If the rates d and c are flowers per day, we have ...

  150/d = 120/c

  d -c = 18

__

Multiplying the first equation by cd/30, we have ...

  5c = 4d

Multiplying the second equation by 4 gives ...

  4d -4c = 72

Adding these equations together, we get ...

  5c +4d -4c = 4d +72

Simplifying and subtracting 4d leaves ...

  c = 72

Charlie can plant 72 flowers per day.

Answer:The equation of the line that passes through the points (–12, –8) and (–17, –16) is y + 16 = 8/5(x + 17). slope = (-16 + 8)/(-17 + 12) = -8/-5 = 8/5 y + 16 = 8/5(x + 17)

Step-by-step explanation:

Answer:

Step-by-step explanation: plug in 3 for X and then solve

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