Find the length of JM

Answer:

[tex]6\sqrt{3}[/tex]

Step-by-step explanation:

because of the 90-60-30 theorem

which [tex]6*\sqrt{3}=6\sqrt{3}[/tex]

The solutions are given below:-

Part (a),

X₁ + X₂ have distribution Bi(n₁+n₂, p)

Part (b),

P(X ₁+ X₂ = 1 | X₂ = 0) =  np(1-p)ⁿ¹⁻¹

P(X₁+X₂ = 1| X₂ = 1) = (1-p)ⁿ¹

P(X₁ + X₂ = 1) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹

Since both variables are independent but they have the same probability parameter, you can interpret that as if the experiment that models each try in both variables is the same.

When you sum both random variables together, what you obtain as a result is the total amount of success in n₁+n₂ tries of the same experiment, thus X₁+X₂have distribution Bi(n₁ + n₂, p).

b)

Note that, if X₂ = k, then X₁ +X₂ = 1 is equivalent to X₁ = 1-k. Since X1 and X₂ are independent, then P(X₁ +X₂ = 1| X₂ = K) = P(X1=1-k|X₂=k) = P(X₁ = 1-k).

If k = 0, then this probability is equal to P(X₁ = 1) = np(1-p)ⁿ¹⁻¹

If k = 1, then it is equal to P(X₁ = 0) = (1-p)ⁿ¹

Thus,

P(X₁+X₂ = 1) = P(X₁+X₂ = 1| X₂ = 1) * P(X₂=1) + P(X₁+X₂ = 1| X₂ = 0) * P(X₂ = 0) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹.

The complete question is given below.

Let X1 and X2 be two random variables following Binomial distribution Bin(n1,p) and Bin(n2,p), respectively. Assume that X1 and X2 are independent.

(a) The mgf of binomial distribution Bin(n, p) is (1 − p + pet)n. Use this fact to obtain the distribution of X1 + X2.

(b) Find the probability P(X1 + X2 = 1|X2 = k) for k = 0 and 1. Then use the law of total probability to find P (X1 + X2 = 1)

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A 59 gal water tank hold will hold 492 lb of water.

The first step is to determine how many lb of water a 1 gal hot water tank can hold. In order to determine this value, divide 350 by 42.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

Weight of water in a 1 gal water tank = 350 / 42 = 8.333 lb

Now, multiply the value gotten in the previous step by 59.

Weight of water in a 59 gal water tank = 8.333 x 59 = 492 lb

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The probability that at least one of the codes will have repeating digits is 0.4712.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Here, The probability of a pin being repeated is 14.7%

⇒ 14.7/100

After Eliminating the decimal point;

⇒ 14.7/100 = 147/1000

Hence,

The probability that a pin, if selected will have a repeating digit format = 147/1000

The probability of a pin not having repeating digits format is,

⇒ 1 - 147/1000

⇒ 853/1000

If four codes are selected at random (without replacement), the probability that all four of the codes will not have repeating digits format is,

⇒ (853/1000) x (852/999) x (851/998) x (850/997)

⇒ 0.5288

Thus, The probability that at least one of them will have repeating digits is,

⇒ 1 - 0.5288

⇒ 0.4712

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Height of giraffe that weighs 1184 kg = 4.74

Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

Given,

Table for the height and weight of giraffe

height  weight(kg)

5.42  1273

4.45  1257

4.53  1152

4.29  1059

3.96  1070

5.42  1260

5.64  1310

3.74  1046

4.45  1139

4.11    1084

If height is x and weight is y

Linear regression equation

y = A + Bx

By the using calculator(calculations are attached below)

y = 137.30504x + 533.25952

If weight is 1184

1184 = 137.30504x + 533.25952

x =( 1184 - 533.25952)/137.30504

x = 650.74048/137.30504

x = 4.73937796

Rounded to two decimal places

Height x = 4.74

Hence, 4.74 is the height of 1184 kg giraffe.

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Answer:

120

Step-by-step explanation:

First you do the question in the paretheses.

12 + 12 = 24

5 x 24 = 120

Answer:120

Step-by-step explanation:

Answer:

14/1

In my opinion it is the answer .

Thankyou .........!

Answer:

The amount of interest earned on the deposit for three months would be calculated using the compound interest formula. This formula takes into account the principal, the rate of interest, and the length of time the deposit is kept on deposit. Using these factors, the amount of interest earned on the deposit for three months would be approximately $139.14.

Step-by-step explanation:

Note that the best description for the graph is a > 4 is "A vertical solid line at (4,0) with the shading to the right of the line." (Option B)

Note that the inequality means that a is greater than 4. This means that the end value 4 is not included.

To graph the inequality " > " a dashed line is used. The inequality does not contain any y - value in it.

Hence, it has only one vertical line at a> 4 and is shaded for all values of a greater than 4.

Thus, the graph that fits the inequality is a vertical dashed line, shaded to the right of the line.

It is correct to state, therefore, that option B is the corect answer.

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The delivered price (including freight) of the living room set is $2858.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

List Price = $5800

Trade  discount = 50%

So, Price after discount

= $5800 - 50% x $5800

= 5800- 2900

= $2900

if Levin pays within 10 days he will have a discount of 3%, So,

3% x $2900

= $87

Thus, the Delivered price = $2900 -$87+ freight charges ( shipping)

                                           = $2900 -$87 + $45 =$2858

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Answer:

a) 08:30   b) 07:54  c) 26 minutes

Step-by-step explanation:

a) Bus leaves Church Street at 07:59. Bus Station times are at 07:40, 08:30 and 9:20. 07:40 is 9 minutes is earlier then 07:59 (07:59 > 07:40) therefore its 08:30.

Answer: 08:30.

b) If Jo has to get there at 8.30am, the time of the latest bus she can take is the one at 08:44. 07:04 is too early and so is 07:54.

Answer: 07;54

c) Lets use the bus that comes to School Road at 08:04 to make it easier. The bus will arrive at 08:30 at Bus Station. Focus on the minutes, not hours. 30 - 4 = 26, meaning it will take 26 minutes from School Road to the Bus Station.

Answer: 26 minutes

P.S (Let me know if I may have made a mistake, because I did it multiple times)

The answers to each part is mentioned above.

Given is that a desktop computer system consists of a monitor, a mouse, a keyboard, the computer processor itself, and storage devices such as a disk drive.

It is assumed that -

{ 1 } -

P{All 4 components are working properly} = (0.98 + 0.98 + 0.97 + 0.99)/4 = 0.98

{ 2 } -

P{All components are working properly except for the monitor} =

(0.98 + 0.97 + 0.99)/4 = 0.735

P{The monitor or the processor operates properly} =

(0.98 x 0.99)/2

0.49

Therefore, the answers to each part is mentioned above.

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NUMBER 25: the values of x and y are 53° and 78° respectively

NUMBER 26: the values of x and y are 55° and 125° respectively

Angle geometry is a branch of mathematics that deals with the study of angles and their properties in two-dimensional figures such as circles, triangles, and polygons.

NUMBER 25

x = 53° (alternate angles)

x + y + 49° = 180° (sum of angles in a triangle is 180°)

53 + y + 49 = 180

y + 102 = 180

y = 180 - 102

y = 78°

NUMBER 26

y = 125° (corresponding angles)

x + y = 180° (sum of angles on a straight line is 180° )

x + 125 = 180

x = 180 -125

x = 55°

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Answer: x = 2 and y = -4

From the result that we have here the total number of grey wolves is given as 32

To estimate the population of the grey wolves in the Northern Rockies, we need to find the average number of tagged grey wolves in each sample of 20 and use that as a estimate for the population.

The mean number of tagged wolves in the five samples is:

(1 + 2 + 2 + 1 + 2) / 5 = 8 / 5 = 1.6

This means that, on average, 1.6 wolves out of 20 have a tag. We can use this information to estimate the total population of the grey wolves in the Northern Rockies:

(1.6 tagged wolves per sample of 20) * (total number of grey wolves / 20) = total number of tagged grey wolves

Multiplying both sides of the equation by 20, we find:

total number of grey wolves = (1.6 tagged wolves per sample of 20) * 20 = 32 grey wolves

So, we estimate that there are approximately 32 grey wolves in the Northern Rockies.

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The solution is, its height is 3.5 inches. i.e. is  822.5 ft.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

If 1 inch is 235 feet

and it’s height is 3.5 inches

we would multiply the 235 by 3.5

i.e. 235*3.5

 =822.5 ft.

and get our answer: 822.5ft

Hence, The solution is, its height is 3.5 inches. i.e. is  822.5 ft.

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The solution to the inequality is  -1 ≥ x ≥ 3

From the question, we have the following parameters that can be used in our computation:

|4x - 4| ≥ 8

Remove the absolute bracket

So, we have

-8 ≥ 4x - 4 ≥ 8

This gives

-4 ≥ 4x ≥ 12

Divide through by 5

-1 ≥ x ≥ 3

Hence, the solution is  -1 ≥ x ≥ 3

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Theme: The Evolution of the Internet

• Event 1: The Launch of the ARPANET in 1969

Rationale: The ARPANET was the first successful implementation of what is now known as the Internet. It was a research project sponsored by the U.S. Department of Defense, and its goal was to develop a way for researchers to share information and resources electronically. The launch of the ARPANET marked the beginning of the Internet as we know it today, and set the stage for its future development and widespread use.

• Event 2: The Creation of the World Wide Web in 1989

Rationale: The World Wide Web, created by Tim Berners-Lee, was a major turning point in the history of the Internet. It allowed for the easy sharing and exchange of information and resources, and paved the way for the creation of modern websites. The World Wide Web quickly became the most popular way to access the Internet, and it remains so to this day.

• Event 3: The Commercialization of the Internet in the 1990s

Rationale: The commercialization of the Internet marked a significant shift in the way it was used and perceived. As more and more businesses and organizations began to see the potential of the Internet as a tool for commerce and communication, its popularity exploded. This led to the creation of new businesses and services, as well as the development of new technologies to support the growing demand.

A theme is the overarching message or claim about a subject that all of a story's or poem's components come together to create.

A story's topic is significant because it plays a role in the author's motivation for crafting the narrative. The author utilizes his story as a vehicle to communicate a message to readers that he wants to get through.

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Answer:

Step-by-step explanation: We can solve it by doing a cross multiplication, basically finding the X, which is how much he'd pay for 10 pounds:

24 ------- 4

x ---------- 10

You can read this as "if 24 dollars is 4 pounds, how many dollars is 10?"

Anyways, so we multiply on a "X" shape, like this:

4x = 24 x 10

The equation will look better if you multiply the X first.

CONTINUING:

4x = 24 x 10

4x = 240

x = 240/4

x = 60

Therefore, Jackson would pay 60 dollars for 10 pounds of apples.

We could also do this by finding out first how many pounds of apples you can get with 1 dollar, we would do the same thing as before, but now looking for the pounds, not the dollars:

24 ------- 4

1 --------- X

24x = 4

x= 4/24

x= 0,166

So you can buy 0,16 pounds of apples with 1 dollar, so if we want to find out how much we can buy with 24 dollars we multiply 0,166 by 24, which is 3,984, approximately 4 pounds.

But since working with small numbers is quite odd sometimes, I recommend you do this equation with the first method I mentioned.

The coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5). The solution has been obtained by using the concept of reflection.

What is reflection?

In geometry, a reflection is referred to as a flip. In a reflection, the shape is reflected. An image will reflect over a line known as the line of reflection.

We are given a point T(-2, 5)

In order to find the coordinates of the reflection of  point in the y-axis, we need to change the sign of abscissa i.e., x-coordinate and retain the ordinate i.e., y-coordinate.

So, we get the image of (-2 , 5) as (2, 5)

Thus, the coordinates of point T' after Ry-axis is (2, 5).

When we reflect across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.

So, we get the image of (-2 , 5) as (-2, -5).

Thus, the coordinates of point T' after Rx-axis is (-2, -5).

Hence, the coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5).

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The number of solutions that the system of equations has is given as follows:

The system of linear equations represented in the graph have

No solutions.

The first step in obtaining the number of solutions of the system of equations is obtaining the linear function that represents each line.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope.

b is the y-intercept.

here, we have,

The first line goes through these following points:

(0,3) and (3,4).

The slope is given by change in y divided by change in x, hence:

slope = 3

When x = 0, y = 3,

hence the intercept is of b = 3

and the function is given as follows:

y = 3x - 3

The second line goes through these following points:

(0,-2) and (3,-1).

Hence the slope is of:

m = 3

The intercept is of b = -2,

and the equation is given as follows:

y = 3x-2.

Hence the solution is obtained as follows:

3x - 3=3x-2.

i.e.

The system of linear equations represented in the graph have

No solutions.

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Answer:

2x-4=0

2x=-4

Step-by-step explanation:

2x-4=0

2x-4+4=0+4

2x/2=4/2

x=2

2x=-4

2x/2=-4/2

x=-2

The exact weight of the object is 83.0N

Weight is the force with which a body is attracted toward the earth or a celestial body by gravitation and which is equal to the product of the mass and the local gravitational acceleration. Weight is a vector quantity and it is expressed as :

weight = mass × acceleration due to gravity

acceleration due to gravity is constant on a planet. On earth the acceleration due to gravity is 10m/s².

The mass of the object is 8.30grams

The weight of the object = 8.30 × 10 = 83N

Therefore the weight of the object with mass 8.30grams is 83.0N

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Answer:

2plus 2 is 4 you are jocking

Answer:

in the adjoining figure,pqrs is parallelogram.find the value of smr

Answer:36

Step-by-step explanation:

There are 32 waiters in the restaurant.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

The ratio of diners to waiters is 1:8 respectively.

Let x be the number of diners and 8x be the number of waiters.

If the total number of people in the restaurant is 36,

that means, 8x + x = 36

x = 4

Then, the number of waiter = 32.

Therefore, the number of waiter = 32.

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Answer: i use brainly.in for homework

Step-by-step explanation: all u have to do is times then divide the numbers

The value of ∠C is 73 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the value of ∠C

the value of ∠A is 59 degrees and  the value of ∠B is 48 degrees.

We know that from angle sum property the sum of three angles is 180 degrees.

∠A+∠B+∠C=180

59+48+∠C=180

107+∠C=180

Subtract 107 from both sides

∠C=180-107

∠C=73 degrees.

Hence, the value of ∠C is 73 degrees.

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Answer: x=(-5)

Step-by-step explanation:

7+8x=-33

8x=-40

x=-5