guys? can ypu pls help me with this? it's our exam day, thank you very much​

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]

To learn more about the negative binomial distribution, you can take a look at https://brainly.com/question/15246027

Step-by-step explanation:

To find the equation you must first find the gradient and also look for the points on the graph.

I see point ( 0, 2) and point (4, 1)

Hence first find the gradient before equation

the gradient = y2-y1/x2-x1

y2 = 1

y1 = 2

x2 = 4

X1 =0

if you put in the values it will look like

1-2/4-0

-1/4

the gradient = -1/4

So for the equation the formula is

remember m is the gradient

y - y1 = m ( x - x1 )

so put in the value from only one point so you can choose either (0,2 ) or (4,1 )

I will go with (4, 1)

y - y1 = m ( x - x1 )

y - 1 = m ( x - 4 )

y -1 = -1/4 ( x - 4)

4 ( y-1) = -1(x-4)

4y- 4 = -1x +4

4y - 4 -4 = -1x

4y -8= -1x

4y + 1x -8 = 0

this is the equation.

thanks and good luck.

Answer:

huh

Step-by-step explanation:

Answer:

I've done alot of calculations on this but I cant get a definite answer I hope you got it I'm sorry I couldn't help you I tried but only got into a dead end

The way to balance a firm's need to succeed and the need for not asking the workers for perfection is through the offering of training to workers, which allows them to notably improve their performances autonomously, without this being directly instigated by the company's directory.

That is, through the education of workers in the different areas of their jobs, the level of the same will be improved and better results will be obtained.

Learn more about perfectionism in https://brainly.com/question/7277328

Answer: 26 = 4x + 10 and Cheryl goes running four times per week.

Step-by-step explanation: Let x equal the number of times Cheryl runs. 26 minus 10 is 16. 16 divided by 4 is 4.

Answer:

C (-3 + 5i) (-3 + 5i) = -16-30i

Step-by-step explanation:

EDGENUNITY

Answer:that is 0.01541

Step-by-step explanation:

The average distance is 300 yards

The ratio is given as:

Driver : 2-iron = 5 : 4

When the iron driver is 240 yards, we have:

Driver : 240 = 5 : 4

Express as fraction

Driver/240 = 5/4

Multiply both sides by 240

Driver= 300

Hence, the average distance is 300 yards

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Answer:

If you're moving the vehicle to the right, shoulder check by moving your head 90° to the right. Turn your head 90° degrees in the direction you're moving the vehicle. And, if you're moving the vehicle to the left, you shoulder check to the left by turning your head 90° to the left.

1 km = 1000 m, so:

23,769 km = 23,769 · 1000 m = 23 769 m

Answer:

23769m

Step-by-step explanation:

Basicly, 3.769x 1000= 23769m

Please mark brainliest

Answer:

205+2w=195+3w

Step-by-step explanation:

:)

The equation to represent when the weights are the same will be 3w + 195 = 2w + 205 and the number of weeks is 10.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Henry and Jose are putting on weight for football. Henry weighs 205 pounds and is acquiring 2 pounds each week Jose weighs 195 pounds and is acquiring 3 pounds each week.

Let 'w' be the number of weeks and 'y' be the total weight. Then the equations are given as,

y = 2w + 205

y = 3w + 195

If the weight becomes the same. Then the number of weeks is given as,

3w + 195 = 2w + 205

Simplify the equation, then we have

3w + 195 = 2w + 205

3w - 2w = 205 - 195

w = 10

More about the linear equation link is given below.

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Step-by-step explanation:

321.5 is the correct answer

The tenths is the number after the decimal points always

EXAMPLES

3.4

4.2

You get the point.

Now to round you look at the second number if it is lower than 5 make it a zero

321.50 is equivalent to 321.5

So that's the answer: 321.5.

(If the thingy is bigger than five make the number left to it increase by one)

(If it's equal to five make the number increase, different places have different rules)

Answer:

Yes

Step-by-step explanation:

They are equal acute triangles, are congurent. Your welcom

Answer:

The answer is 4.2,

Hope that helped. x

Step-by-step explanation:

3 x 7 (3*7) = 21

21 divided by 5 = 4.2.

Answer:

4.2

Step-by-step explanation:

Using PEMDAS,

We know that to solve (3*7) divided by 5, we will need to solve what is in the parenthesis.

So, we need to figure out what is 7*3, which is 21.

This is what we have right now:

21 divided by 5

The next step is dividing,

In the end, the answer is 4.2, hope this helped!

Answer:

18.6cm

Step-by-step explanation:

there is a theorem that states that the midsegment of a triangle (midpoint to midpoint, in this case X and Y) is half of the base (in this case BC)

when applied to the triangle shown:

XY= 1/2 BC

substitute to get

XY=1/2*6.4

XY=3.2

perimeter of BCYX

=XY+YC+CB+BX

=3.2+4+6.4+5

=18.6cm

hope this helps

It is evident from the problem statement that an overall price reduction of Nike air max shoes will lead to an increase in the demand for the shoe.

In Economics,  the relationship between price and demand is stated as follows "If all other factors remain equal, the higher the price of a good, the fewer people will demand that good. In other words, the higher the price, the lower the quantity demanded and vice versa."

In all, the Law of Demand tells us that if more people want to buy something, given a limited supply, the price of that thing will be bid higher, also of the price of something is low the demand will be high.

learn more:

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Answer:

it's for sure option (B) cuz it's represented in the form of a straight line which means it's linear!

hope helpful~

Answer:

B

Step-by-step explanation:

I thinks its the best answer

Using the BMI equation, it is found that weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.

The BMI B, for a person of weight w(in pounds) and height h(in inches) is given by:

[tex]BMI = \frac{703w}{h^2}[/tex]

In this problem:

For a BMI of 20 inches, the weight is:

[tex]BMI = \frac{703w}{h^2}[/tex]

[tex]20 = \frac{703w}{70^2}[/tex]

[tex]w = \frac{20 \times 70^2}{703}[/tex]

[tex]w = 139.4[/tex]

For a BMI of 28 inches, the weight is:

[tex]BMI = \frac{703w}{h^2}[/tex]

[tex]28 = \frac{703w}{70^2}[/tex]

[tex]w = \frac{28 \times 70^2}{703}[/tex]

[tex]w = 195.2[/tex]

Weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.

To learn more about the BMI, you can take a look at https://brainly.com/question/24457127

Answer:

x = 20°

Step-by-step explanation:

OA = OB

so 140°+x°+x° = 180°

140+2x = 180

2x = 40

x = 20°

Answer:

Step-by-step explanation:

This is an isosceles triangle. You can tell because 2 of the sides are equal and the third is not equal to either of the other two.

x + x + 56 = 180                  Combine the left

2x + 56 = 180                      Subtract 56 from both sides.

2x = 180 - 56

2x = 124                               Divide by 2

x = 124/2

x = 62

Answer:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

Answer:

Keep change flip!

Step-by-step explanation:

Example 1/2 divided 3/4

We simply keep 1/2 and then we flip the 3/4 which is now 4/3

now we also flip the division sign which its opposite is multiplying now its simply 1/2 x 4/3 and you get 4/6.  Hope this helps please mark brainliest!

Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.  

Answer:

$245,000

Step-by-step explanation:

Let the intial cost = x

[tex]100\% + 36\% = 136\% = 1.36[/tex]

[tex]1.36x = 333200[/tex]

[tex]x = \frac{333200}{1.36} [/tex]

[tex]x = 245000[/tex]

The width of the mat around the photo is 3 inches

The combined area of the of the photo and math = 224 square inches

The combined area is represented as:

(2w +8)(2w + 10) = 224

Expand the equation using the distributive rule

[tex]4w^2+20w+16w+80=224\\\\4w^2+36w+80-224=0\\\\4w^2+36w-144=0[/tex]

Divide through by 4

[tex]w^2+9w-36=0[/tex]

Factorize the resulting quadratic equation to solve for w

[tex]w^2-3w+12w-36=0\\\\w(w-3)+12(w-3)=0\\\\(w-3)(w+12)=0[/tex]

w  -  3  =  0

w   =  3

w  +  12  =  0

w   =  -12

The width of the mat around the photo is 3 inches

Learn more on area here: https://brainly.com/question/20968176

The width of the mat around the photo is 3 inches

Combined area:

2w +8)(2w + 10) = 224

where,

w = width of the mat around the photo

(2w +8)(2w + 10) = 224

open parenthesis

4w² + 20w + 16w + 80 = 224

4w² + 36w + 80 - 224 = 0

4w² + 36w - 144 = 0

divide through by 4

w² + 9w - 36 = 0

solve quadratic equation using factorization method

w² + 12w - 3w - 36 = 0

w(w + 12) - 3(w + 12) = 0

(w + 12) (w - 3) = 0

w + 12 = 0 or w - 3 = 0

w = -12 or w = 3

The width of the mat around the photo cannot be a negative value.

Therefore, the width of the mat around the photo is 3 inches

Learn more about quadratic equation:

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Answer:

39.55

Step-by-step explanation:

24.99+15=39.55

That is how you get your answer :)

Answer:

1.89

Step-by-step explanation:

.15 x 24.55=1.89

Answer:

The answer is b

Step-by-step explanation:

During the 8-9 , Mr hare travel 40miles

For the time 9 onwards they travel concurrently,

Let x be the distance covered by both since they can only meet if they covered the sams distance,

x/50 = x/40 -1 ,where the 1 is the (8-9) 1 hr

x/40 - x/50 = 1

x = 200

Time take by Mr Hare = 200/ 40 = 5

from 8 add 5 hours will be 1

Note, i took this answer from an answer from another answer.

Answer:

i think that it would be 0

Answer:

The value of B is 7.

B = 7

Answer:

B = 7

Step-by-step explanation:

first 100 + 47 + 10 + 100 = 257

second 200 + 50 = 250

257 - 250 = 7