If K is the midpoint of ER, EK = z+5,and ER=4x+2,What is the length of K R?

the value of P(X=4,Y=2) is 0.0518.

Given that, X denote the number of Canon SLR cameras sold during a particular week by a certain store.

The probability mass function (pmf) of X is,

X 0 1 2 3 4

PX(x) 0.1 0.2 0.3 0.25 0.15

Let Y denote the number of purchasers during this week who buy an extended warranty.

The value of P(X=4,Y=2) is the probability that 4 cameras are sold and 2 extended warranties are sold in a week.

P(X=4,Y=2)=p(4,2)=P(Y=2|X=4)×P(X=4)

The number of purchasers purchasing the extended warranty can be 0, 1, ……, x.

Here x is cameras are sold.

Assuming that each customer buys at most 1 camera.

Considering that the event “a purchaser buys extended warranty” as “success” and the event “a purchaser does not buy extended warranty” as “failure”.

In that case, all the customers purchasing cameras buy extended is 60%.

The probability of failure is 0.4.

This follows the binomial distribution, where total number of trials is the number of purchasers of camera and x is the probability of success is 0.6.

The probability that 2 out of 4 cameras purchasers buys extended warranty with probability of success 0.6 is,

P(Y=2|X=4)=4C2(0.6)2(0.4)4−2=6×0.36×0.16=0.3456

Given that,

P(X=4)=0.15

Therefore,

P(X=4,Y=2)=P(Y=2|X=4)×P(X=4)=0.3456×0.15=0.0518

Therefore, the value of

P(X=4,Y=2) is 0.0518.

To learn more about  binomial distribution:

https://brainly.com/question/14565246

#SPJ4

Answer:

-103

Step-by-step explanation:

Just subtract

Answer:

-103

Step-by-step explanation:

You add all the numbers then put the negative sign.

The correct choice is within your skills and abilities.

Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.

It will also result in no or less time wasted in doing what you are less capable of.

Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.

Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.

To find more on strengths and weakness, use this link:

brainly.com/question/22773317

#SPJ4  

Answer:

Step-by-step explanation:

a you just had to say a

Answer:

V=5(6)?(14)

Step-by-step explanation:

Answer:

\((a+b)(a^2-ab+b^2)=(a^3+b^3)\)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

it orders the negative things in the top right correctly because the bigger the negative number in the top right the lower the number is aka the greater of a negative number there is

That it will take the object 3 seconds to reach the ground.

When an object is dropped from a building, the height of the object above the ground can be calculated using the formula h equals negative 4.9 x squared plus 44.1. In this formula, h represents the height in meters and x represents the time in seconds.

To determine the amount of time it will take for the object to reach the ground, we must find the value of x at which h equals zero, since the object will be on the ground at that point. We can express this equation as 0 = -4.9x² + 44.1.

To solve for x, we need to move the constant term (44.1) to the right-hand side of the equation, which gives us 4.9x² = 44.1.

We can then isolate x² by dividing both sides of the equation by 4.9. This leaves us with x² = 9.

Taking the square root of both sides of the equation, we get ±√9 = ±3. Since time cannot be negative, we only consider the positive value of x, which is 3 seconds.

Therefore, we can conclude that it will take the object 3 seconds to reach the ground.

Know more about Time and distance here:

https://brainly.com/question/31756299

#SPJ11

The two segments having the same length are line VW and line YZ. Option D

A number line can simply be defined as a straight line with numbers that are  placed at equal intervals or segments along its length.

It is also known as a visual picture or representation of numbers.

From the number line shown, we have the following deductions;

From the above solutions, we can see that line

Line VW is equal in length to line YZ

Thus, the two segments having the same length are line VW and line YZ. Option D

Learn more about number line here:

https://brainly.com/question/4727909

#SPJ1

Answer:

Add up all of the numbers, and divide by the number of digits. To put it another way, the total is divided by the count.

Step-by-step explanation:

so ... 2,4,4,2

2+4+4+2= 12

12 divided by 4=3

i think 3 is the mean....

hope this helps.....

Answer:

Dina can run 12 miles in 90 minutes

Step-by-step explanation:

Since its 4 miles every 30 minutes, you would multiply 4 by 3 (since 30 x 3 = 90)

Hope this helped!

Answer:

Step-by-step explanation:

20

Answer: KL IS 3 + 9 THEN 5 MINUS NINE

Step-by-step explanation: FIND KL

Answer:

Im here to help ! :)

Step-by-step explanation:

Its 5 kilometers. Already counting the distance between it, you also count the two locations. SO in total, Its 5 kilometers!

Answer:

4 kilometers

Step-by-step explanation:

you have to count the grid spaces in between the point labelled Gabe's house and the point labeled library. each space is 1 kilometer.

The probability of selecting a white-tailed deer that carries the Lyme disease bacteria is 1 in 10,000, or 0.0001. This means that out of every 10,000 white-tailed deer on the east coast, only one is expected to carry the Lyme disease bacteria.

If we assume that each deer in the population has an equal chance of carrying the bacteria, then the probability of selecting a deer that carries the bacteria can be calculated using the formula for probability:

Probability = Number of desired outcomes / Total number of possible outcomes

In this case, the number of desired outcomes is one (since we want to select a deer that carries the bacteria), and the total number of possible outcomes is the total number of white-tailed deer in the population. Since we don't know the exact number of deer in the population, we can assume that it is very large, so we can use an approximation:

Probability ≈ 1 / (Very large number)

Therefore, the probability of selecting a white-tailed deer from the east coast population that carries the Lyme disease bacteria is very close to 0.0001 or 1 in 10,000.

To know more about probability , refer here :

https://brainly.com/question/30034780#

#SPJ11

Answer:

3a - 14 + c

5b -1

This should be right. I had a A in this chapter.

Step-by-step ex

check out my yt

CL asapfn

sub

Answer:

10 = 6

11) = 11

Step-by-step explanation:

1)

\((a-5)- (2b-9) +c = \\ (6 - 5) - (2(3) - 9) + 2 \\ (1) - (6 - 9) + 2 \\ (1) - ( - 3) + 2 \\ 1--3+2 \\ 1+3+2 \\ 4+2 \\ = 6\)

2)

\(( {b}^{2} - 2b + 6) + 3b - 7 \\ ( {3}^{2} - 2(3) + 6) + 3(3) - 7 \\ (9 -6 + 6) + 9 - 7 \\ (9) + 2 \\ = 11\)

A shape-preserving transformation (movement) in the plane or in space is called an isometric transformation (or isometry).

A shape-preserving transformation (movement) in the plane or in space is called an isometric transformation (or isometry). The isometric transformations include translation, rotation, and combinations thereof, such as the glide, which combines a translation with a reflection.

A transformation of geometry can be rigid or non-rigid; "isometry" is another name for a rigid transformation. The size or shape of the figure remains unchanged when an isometry, such as a rotation, translation, or reflection, is applied. Since a dilation either increases or decreases the size of a figure, it is not an isometry.

A linear transformation with length preservation is called an isometry of the plane. Rotation, translation, reflection, gliding, and the identity map are all examples of isometries. Geometrically congruent refers to two geometric forms that are connected by an isometry.

To learn more about Isometry refer to :

brainly.com/question/28506632

#SPJ4

the evaluation of the function at 0, -3, and 2 is 1, 1/125, and 25, respectively.

f(0) = 1, f(−3) = 1/125, f(2) = 25

f(0) = 5^0 = 1

f(−3) = 5^−3 = 1/5^3 = 1/125

f(2) = 5^2 = 25

f(0) = 5^0 = 1

f(−3) = 5^−3 = 1/5^3 = 1/125

f(2) = 5^2 = 25

The function f(x) is equal to 5 to the power of x. This means that when evaluating the function at different points, we need to take the number 5, and raise it to a certain power depending on the value of x.

When evaluating the function at 0, the power is 0, so 5 to the power of 0 is equal to 1. When evaluating the function at -3, the power is -3, so 5 to the power of -3 is equal to 1/125. Finally, when evaluating the function at 2, the power is 2, so 5 to the power of 2 is equal to 25.

Therefore, the evaluation of the function at 0, -3, and 2 is 1, 1/125, and 25, respectively.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

The experimental probability of landing on a number greater than 4 is 0.25 or 25%.

To find this probability, we need to determine the number of successful outcomes (landing on a number greater than 4) and divide that by the total number of trials (60).

The successful outcomes are 5 and 6, with a frequency of 10 and 8 respectively. To add these two frequencies together, we can use 10 + 8 = 18.

So, the experimental probability is 18/60 = 0.3 or 25%.

It's important to note that experimental probability is based on the outcomes of an experiment or a sample and it may not be the same as a theoretical probability which is based on the ratio of favorable outcomes to the total number of outcomes in a theoretical model.

For more questions like Probability click the link below:

https://brainly.com/question/30034780

#SPJ4

the answer in fraction form is 18/60

if thats what you are looking for.

Answer:

A=b×h

A=13.8×6

A=82.8 in²

A≈83in²

Step-by-step explanation:

Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

Answer: 15:8

Step-by-step explanation:

Acacia leaves= 15 bags

Eucalyptus leaves=8 bags

A ratio compares two amounts and uses a :

We are comparing acacia leaves bags to eucalyptus leaves bags

So-

15:8

We cannot simplify any more, so keep 15:8.

As per the remainder that the greatest possible value of 17

The term remainder in math defined as if a number is not completely divisible by another number  then we are left with a value once the division is done

Here we have if x is a positive integer, then r is the remainder when x is divided by 4 and r is the remainder when x is divided by 9.

As we all know that the remainder is always smaller than the divisor.

Here we have also know that it will be 0 if the dividend is evenly divisible or a positive integer less than the divisor.

So, when we divided by 4 then the largest remainder will be 3 and then here we have to  divided by 9, then the largest remainder will be written as

=> r² + R = 32 + 8

=> 9 + 8 = 17

To know more about remainder here.

https://brainly.com/question/11360783

#SPJ4

9514 1404 393

Answer:

  -4/3

Step-by-step explanation:

Quadratic ax² +bx +c can be written in factored form as ...

  a(x -p)(x -q)

for zeros p and q. The expanded form of this is ...

  ax² -a(p+q)x +apq

Then the ratio of the constant term to the leading coefficient is ...

  c/a = (apq)/a = pq . . . . the product of the zeros

For your quadratic, the ratio c/a is -4/3, the product of the zeros.

_____

Additional comment

You will notice that the sum of zeros is ...

  -b/a = -(-a(p+q))/a = p+q

Answer:

\( \green{ \boxed{ \bf \: product \: of \: the \: zeros \: = - \frac{4}{3} }}\)

Step-by-step explanation:

We know that,

\( \sf \: if \: \alpha \: and \: \beta \: \: are \: the \: zeroes \: of \: the \: \\ \sf \: polynomial \: \: \: \pink{a {x}^{2} + bx + c }\: \: \: \: then \\ \\ \small{ \sf \: product \: of \: zeroes \: \: \: \alpha \beta = \frac{constant \: term}{coefficient \: of \: {x}^{2} } } \\ \\ \sf \implies \: \pink{ \boxed{\alpha \beta = \frac{c}{a} }}\)

Given that, the polynomial is :

\( \bf \: 3 {x}^{2} - 2x - 4\)

so,

\( \sf \: so \: product \: of \: zeroes \: \: = \frac{ - 4}{3} = - \frac{4}{3} \)

Answer:

Give the triangle area so we can solve it for you.

Step-by-step explanation:

½*base*height

Step-by-step explanation:

the triangle is not given so let us take its base=b,and height=h

by using the formula=½*base*height

½*b*h

Fauvist artists extended the visual vocabulary of Post-Impressionism by making their primary subject matter Color

Fauvist artists, a group of early 20th-century painters, indeed extended the visual vocabulary of Post-Impressionism primarily through their innovative use of color. The Fauvist movement emerged in France in the early 1900s and was characterized by bold, vibrant colors and expressive brushwork.

Prior to the Fauvists, Post-Impressionist painters, such as Vincent van Gogh and Paul Cézanne, had already begun to break away from the naturalistic color palette of Impressionism. They explored new ways of using color to convey emotion and form, but it was the Fauvists who took this exploration to new levels.

Fauvist artists, including Henri Matisse, André Derain, and Raoul Dufy, embraced intense, non-naturalistic colors. They used bold, contrasting hues that were often unrelated to the actual appearance of their subjects. This departure from traditional color usage was a radical departure from the subdued, more subdued palettes of earlier movements.

By focusing on color as their primary subject matter, the Fauvists aimed to evoke powerful emotional responses from the viewers. They believed that color had the ability to express emotions and convey meaning on its own, without being limited to realistic representations of objects. Instead of relying on naturalistic color schemes, they used vivid and arbitrary colors to create a sense of energy and vitality.

The Fauvists also liberated color from its traditional role as a means to depict light and shadow. They applied colors freely and spontaneously, often using broad brushstrokes, without concern for accurate representation. This allowed them to create highly expressive and subjective interpretations of their subjects, whether they were landscapes, portraits, or still lifes.

In summary, Fauvist artists extended the visual vocabulary of Post-Impressionism primarily through their revolutionary use of color. By breaking away from the naturalistic color palette and embracing bold, vibrant hues, they explored the expressive potential of color itself, going beyond traditional notions of representation. Their approach opened up new avenues for artistic expression and paved the way for further experiments in color by future generations of artists.

To know more about Fauvist Artists here

https://brainly.com/question/2496546

#SPJ4

Answer: The odds of drawing a King or a heart are P(E)/P(E') = (4/13)/(9/13) = 4/9. What is the probability of getting at least one black card in a 7-card hand off a shuffled 52-card deck

Step-by-step explanation:

Answer:

Step-by-step explanation:

-42

The correct assumption to initiate an indirect proof is "∠S is an acute angle."option C

In order to start an indirect proof of the statement "Angle S is not an obtuse angle," we would need to assume that option C is true, which states "∠S is an acute angle."

An indirect proof, also known as a proof by contradiction, involves assuming the negation of the statement and then arriving at a contradiction. In this case, if we assume that ∠S is an obtuse angle (option B), we would be directly assuming the statement we are trying to prove false.

This assumption would not lead us to a contradiction and would not allow us to complete an indirect proof.

On the other hand, assuming that ∠S is an acute angle (option C) sets up a potential contradiction since the original statement claims that ∠S is not an obtuse angle.

If we can show that assuming ∠S is an acute angle leads to a contradiction, we can conclude that ∠S is not an obtuse angle, which is what we want to prove.

Therefore, the correct assumption to start an indirect proof of the statement is option C, "∠S is an acute angle."

For more question on acute angle visit:

https://brainly.com/question/6979153

#SPJ8

The global maximum and minimum values of f(x, y) subject to the constraint x^2 + y^2 = 80 are both approximately 15.314, and they occur at the points (2√5, -4√5) and (-2√5, 4√5), respectively.

To use Lagrange multipliers, we need to define the Lagrangian function as follows:

L(x, y, λ) = f(x, y) - λg(x, y)

where g(x, y) is the constraint function, which in this case is g(x, y) = x^2 + y^2 - 80.

So, we have:

L(x, y, λ) = (x - 1)^2 + (y + 2)^2 - λ(x^2 + y^2 - 80)

Next, we need to find the partial derivatives of L with respect to x, y, and λ, and set them equal to 0:

∂L/∂x = 2(x - 1) - 2λx = 0

∂L/∂y = 2(y + 2) - 2λy = 0

∂L/∂λ = x^2 + y^2 - 80 = 0

Simplifying the first two equations, we get:

x(1 - λ) = 1

y(1 - λ) = -2

Dividing these two equations, we get:

x/y = 1/-2 => x = -y/2

Substituting this into the constraint equation, we get:

(y/2)^2 + y^2 = 80 => 5y^2 = 320 => y = ±4√5

Substituting this back into x = -y/2, we get:

x = ∓2√5

So, the critical points are (2√5, -4√5) and (-2√5, 4√5).

To determine whether these are maximum or minimum values, we need to compute the second partial derivatives of L:

∂^2L/∂x^2 = 2 - 2λ

∂^2L/∂y^2 = 2 - 2λ

∂^2L/∂x∂y = 0

At the critical points, we have λ = 1/5, so:

∂^2L/∂x^2 = -2/5 < 0, so (2√5, -4√5) is a local maximum.

∂^2L/∂y^2 = -2/5 < 0, so (-2√5, 4√5) is a local maximum.

To determine whether these are global maximum or minimum values, we need to compare the values of L at these critical points and at the endpoints of the constraint region:

L(2√5, -4√5) ≈ 15.314

L(-2√5, 4√5) ≈ 15.314

L(4√2, 0) = 18

L(-4√2, 0) = 18

So, the global maximum and minimum values of f(x, y) subject to the constraint x^2 + y^2 = 80 are both approximately 15.314, and they occur at the points (2√5, -4√5) and (-2√5, 4√5), respectively.

Learn more about:

Lagrange multipliers : brainly.com/question/30776684

#SPJ11