Express x^2+y^2+4x-6y+1=0 in polar coordinates form

Answer:

a) the probability that the first non-defective engine will be found on the second trial is 0.09

b) probability that the third non-defective engine will be found on the fifth trial is 0.00486

c) the Mean is 1.1111  and Variance is 0.1235  

d) the Mean is 3.3333and Variance is 0.3704  

Step-by-step explanation:

Firstly;

Let x be the number of trail on which the rth defective occurs

Also let the probability that an occurrence of a defective be p = 0.10

Here, x follows negative binomial distribution with parameters r and p

The probability mass function of X is as follows:

P(X = x) = [ x -1  p^r ( 1 - p)^(x-r)       ; x = r, r + 1, r + 2, ...

                 r - 1 ]

=   [ x -1  (0.10)^r ( 1 - 0.10)^(x-r)

     r - 1 ]

= [ x -1  (0.10)^r ( 0.9)^(x-r)  ..........n 1..... let this be equatio

    r - 1 ]

This represents the probability that the rth success occurs on the xth trail.  

a)

probability that the first non-defective engine will be found on the second trial?

Substitute r = 1 and x = 2 in equation 1  

P(X = 2)  = [ 2 - 1   (0.10)¹ ( 0.90 )²⁻¹

                   1 - 1 ]

= (0.10) × (0.90)

= 0.09

Therefore, the probability that the first non-defective engine will be found on the second trial is 0.09

b)

probability that the third non-defective engine will be found on the fifth trial?

So we substitute r = 3 and x = 5 in equation 1  

P(X = 5) = [ 5 - 1  (0.10)³ ( 0.90)⁵⁻³

                  3 - 1 ]

=    [ 4    (0.10)³ ( 0.9)²

      2 ]

= 0.00486

Therefore, probability that the third non-defective engine will be found on the fifth trial is 0.00486

Now the formula for the mean of the negative binomial distribution is as follows:  

Mean u = r / p    ------- let this be equation 2

The formula for the variance of the negative binomial distribution also is as follows:  

Variance α² = rq / p²   ---------- let this be equation 3

so

c)

the mean and variance of the number of trials on which the first non-defective engine is found.  

First, let the probability that non-defective engine found be p = 0.90

And q = (1 - p) = 1 - 0.90 = 0.10  

Now we substitute r = 1, p = 0.90 and q = 0.10 in equation 2 & 3simultaneously,

the mean and variances are as follows;

Mean = r/p = 1/0.90 = 1.1111

Variance = rq/p² = (1)(0.10) / (0.90)² = 0.1235  

Therefore the Mean is 1.1111  and Variance is 0.1235  

d)

the mean and variance of the number of trials on which the third non-defective engine is found  

Let the probability that non-defective engine found be p = 0.90

And q = (1 - p) = 1 - 0.90 = 0.10

Now we substitute r = 3, p = 0.90 and q = 0.10 in equation (2) and (3) simultaneously,

the mean and variances are;

Mean = r/p = 3/0.90 = 3.3333

Variance = rq/p² = (3)(0.10) / (0.90)² = 0.3704

Therefore the Mean is 3.3333 and Variance is 0.3704    

Answer:

b

Step-by-step explanation:

The graph of f(x) = 2x + 3 is a linear function and its y-intercept is y = 2x + 3.

Any function is referred to as linear if it represents a straight line on the coordinate plane. For instance, the linear function represented by the equation y = 3x – 2 looks like a straight line on a coordinate plane. Due to the fact that f(x) can substitute for y, this function can be written as f(x) = 3x - 2.

here, we have,

First find the slope of the line

y - y₁ = m(x - x₁)

0 - 3 = m(-1.5 - 0)

m = 2

From the graph, we can take any of the two points i.e.(0, 3) and put it in slope formula

y - y₁ = m(x - x₁)

So,

y - 3 = 2(x - 0)

y = 2x + 3 (y-intercept)

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Full question:

Graph each function determine which of the functions are linear. find the y-intercept of each function and the slope.

f(x) = 2x + 3

Answer:

y - 8 = 1/3 (x + 2)

Step-by-step explanation:

The equation y - 8 = 1/3 ( x + 2) has a slope form for the line that has a slope 1/3 and passes through (-2,8). The answer to the question is y - 8 = 1/3 (x + 2).

Hope this helps!

The equation of the line will be written as to y - 8 = 1/3 (x + 2).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line has a slope 1/3 and passes through (-2,8). The equation of the line will be,

y - y₁ = m(x - x₁)

y - 8) = (1/3)(x + 2 )

Therefore, the ​equation of the line is equal to y - 8 = 1/3 (x + 2).

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This graph represents the function h(x)=2sin(x+π/2)-1.

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

This graph represents the function h(x)=2sin(x+π/2)-1.

The range is the set of values that correspond with the domain.

Domain of graph: (−∞,∞),{x|x∈R}

Range of graph: [−3,1],{y|−3≤y≤1}

Use the form asin (bx−c)+d to find the amplitude, period, phase shift, and vertical shift.

Amplitude: 2

Period: 2π

Phase Shift: −π/2 (π/2 to the left)

Vertical Shift: −1

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Answer:

the answer is 50

Step-by-step explanation:

150 / 3 = 50

Answer:

50

Step-by-step explanation:

Answer: y=1x+9

Step-by-step explanation: Hope this helped!!

Answer:

I think so yeah to keep a healthy lifestyle

Step-by-step explanation:

to get fit, and possibly lose weight

Answer:

Sports are a fundamental part of the lives of millions of men and women all over the world. Sports helps build talent and hobbies so that the people can be better at delivering them for personal and professional purposes. Sports also serve as a good leisure activity meant to relieve one from physical and emotional stress hence a healthy living.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 1/3

Answer:

No (The linear model did a very bad job of approximating the data.)

I am so sorry if this in incorrect.

The percentage illumination of the moon's surface is not a linear function of day

From the complete question, the dataset can be represented using the following table:

Days   Percentage Illumination

1           2%

2          6%

3          50%

4          100%

Notice that as the number of days increase by 1, the percentage illumination of the moon increase at different intervals

This means that the percentage illumination is not a linear function of day

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Answer:

P = 7

Step-by-step explanation:

46+8=54

54-5=49

49÷7=P

Answer:

33.6

Step-by-step explanation:

Answer:

angle E equals angle B and angle D equals angle a which means they are parallel bc angle c is the same for both

Step-by-step explanation:

Answer:

Ithink b

Step-by-step explanation:

because all of them are they dissimilar to the reason

Answer:

Both would work.

Step-by-step explanation:

If we call Jackie's apples a, then Mark has a - 4 apples. Therefore, together they have a + (a - 4) apples, and we know that they have a total of 12 apples so we can write a + (a - 4) = 12 to represent the situation. On the other hand, if Mark has a apples, then Jackie has a + 4 apples, so we can also write a + (a + 4) = 12 to represent the situation as well. Therefore, both of the equations would work. Hope this helps!

Answer:

both

Step-by-step explanation:

I got it right on the quiz

Answer:

0

Step-by-step explanation:

We can find the slope using

m = ( y2-y1)/(x2-x1)  where ( x1,y1) and ( x2,y2) are points on the line

m = ( -2 - -2)/(8 - 2)

    = ( -2 +2) / ( 8-2)

    = 0/6

   =0

The slope is 0

Answer:

don't know which question?

Step-by-step explanation:

¿???????

Answer:

IT>RT>RI

Step-by-step explanation:

sin72°>sin67°>sin41°

Answer:

9(3+5)

Step-by-step explanation:

My favorite pancake recipe

2 cups all purpose | plain flour, (290 g | 10 oz)

1/4 cup granulated sugar or sweetener, (60g | 2 oz)

4 teaspoons baking powder

1/4 teaspoon baking soda

1/2 teaspoon salt

1 3/4 cups milk, (440ml)

1/4 cup butter, (60g | 2 oz)

2 teaspoons pure vanilla extract

1 large egg

Combine everything in a bowl (separate wet and dry) and cook at medium low heat until it is brown and there are bubbles on top. Then serve with syrup. Good luck!!!

Answer: 8(3+6)

Step-by-step explanation:

Answer:

y = -1/8x + 1

Step-by-step explanation:

Line perpendicular to 8 is -1/8

If the line were to start at the origin, then y- intercept would be 0, and it would pass through the point (-8, 1) To pass through point (-8, 2), add 1 to y in the first example.

Answer:

The Answer is A

Step-by-step explanation:

The cups needed to feed 24 people is 13[tex]\frac{1}{2}[/tex] cups.

Ratio expresses the relationship between two values. It is used to express the number of times that one value is contained within other value(s).

The cups of flour needed to feed one person = [tex]4\frac{1}{2}[/tex] ÷ 8

= [tex]\frac{9}{2}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{9}{16}[/tex]

Number of cups needed to feed 24 people = number of cups needed to feed 24 people x 24.

[tex]\frac{9}{16}[/tex] x 24 = [tex]\frac{27}{2}[/tex] = 13[tex]\frac{1}{2}[/tex] cups

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The value of the equation sin 170° cos 55° + cos 170° sin 55° is given by

C = sin 225° and the value of C = -0.70710678118

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the equation be represented as C

Now , the value of A is given by the equation ,

A = sin 170° cos 55° + cos 170° sin 55°

And let the first angle be = 170°

Let the second angle be = 55°

So , value of A = 170° and value of B = 55°

From the trigonometric relations , we know that

sin ( A + B ) = sin A cos B + cos A sin B   be equation (1)

Substitute the values of A and B in the equation , we get

sin 170° cos 55° + cos 170° sin 55° = sin ( 170° + 55° )

So , value of equation A = sin ( 170° + 55° )

On simplifying the equation , we get

sin ( 170° + 55° ) = sin 225°

The value of sin 225° = -0.70710678118

Hence , The value of the equation sin 170° cos 55° + cos 170° sin 55° is given by C = sin 225° and the value of C = -0.70710678118

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Answer: C

Step-by-step explanation:

ur welcome

Answer:

6

Step-by-step explanation:

Answer:

12.78

Step-by-step explanation:

63.65 divided by 5 = 12.7

Answer:

Equation:63.65÷5=12.73

A)$12.73

Step-by-step explanation:

Division is this symbol ÷

Your problem directly states to divide the amount in money by the amount of children

Answer:

The horizontal axis represents TIME

Step-by-step explanation:

In a time-series plot, the horizontal axis represents time, and the vertical axis represents the value of the variable we are measuring. -The values of the variable are plotted at each of the times, then the points are connected with straight lines.

Answer:

a. 99

b. 12.31

Step-by-step explanation:

a. Estimate of the population mean number of units sold per month

n = Number of Data Values = 5

Sum of Data Values = Σxi =97 + 120 + 88 + 97 + 93 =  495

Sample Mean = X = Σxi/n = 495 / 5 = 99

The population mean number of units sold per month is 99

b. Estimate of the population standard deviation

Month    Data (x)     X    x - X    (x - X)^2

   1             97          99     -2         4

   2            120        99      21       441

   3             88         99      -11       121

   4             97         99      -2        4

   5             93         99      6         36

Sum of deviation squared          606

s^2 = Sample Variance = Σ(xi - X)2/(n - 1)

Sample Variance = 606/4 = 151.5

Sample Standard Deviation = √Sample Variance

Sample Standard Deviation = √151.5

Sample Standard Deviation = 12.30853362509117

Sample Standard Deviation = 12.31

The point estimate of the population standard deviation is 12.31

Answer:

45

Step-by-step explanation:

[tex]x[/tex] - [tex]y[/tex] = 30 and [tex]y[/tex] = 15

So, I guess you are just messed up with the Xs and Ys.

And I'm not sure what is the 4. ООО  8  80  200 about but here is my guess :

So [tex]x[/tex] - [tex]y[/tex] = 30 and [tex]y[/tex] = 15.

First step, substitute the [tex]y[/tex] into the equation [tex]x[/tex] - .

So, it would be

[tex]x[/tex] - 15 = 30.

Now, we need the value of [tex]x[/tex].

[tex]x[/tex] - 15 = 30

Group the terms together :

[tex]x[/tex] - 15 ( +15 ) = 30 ( +15 )

So, [tex]x[/tex] would be equals to 30 + 15. And in other words, it would be 45.

So :

[tex]x[/tex] = 45.

Wanna check whether my answer's correct?

Substitute [tex]x[/tex] into [tex]x[/tex] - 15 = 30

That would be :

45 - 15 = 30

So is 45 - 15 = 30?

Yep.

So 45 is the answer.

The value of X is 45.