As shown in the diagram, the measure of angle HPM = 56 degrees. Lines
KL and HJ are perpendicular so the form right angles. (a) What is the
measure of angle MPJ?

Answer:

Eg.y=3x

Step-by-step explanation:

Answer:

Eg.y=3x

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

[tex]P(x =x) [{\frac{1}{6} ;x =1,2,3...6][/tex]

[tex]E (x) = \frac{6+1}{2} =\frac{7}{2} =3.5\\\\E(x)=3.5[/tex]

Given random experiment of tossing of 6 sided dice is follow above distribution

Therefore, suppose x₁, x₂ ...x₁₀ are 10 independent and indentical random variable which represent first 10 rolls

Average of first 10 rows equals

[tex]\bar x_1 =\frac{ \sum ^{10}_{i=1}xi}{10}[/tex]

[tex]E(\bar x_1)=\frac{ \sum ^{10}_{i=1}E(x_1)}{10} \\\\=\frac{10(3.5)}{10} \\\\=3.5\\\\E(\bar x_1) = 3.5----(1)[/tex]

now suppose ,

x₁₁,x₁₂, ...x₁₅ are 5 independent and identical random variable which represent last 5 roll

average of last 5 roll is

[tex]E(\bar x_2)= \frac{ \sum ^{5}_{i=1}xi}{5} \\\\= \frac{5 \times(3.5)}{5} \\\\=3.5[/tex]

Therefore,[tex]\bar x_1 - \bar x_2[/tex]

3.5 - 3.5 = 0

The mean [tex]\mu(\bar{x_1}-\bar{x_2})[/tex]  of the sampling distribution of the difference in sample means [tex](\bar{x_1}-\bar{x_2})[/tex] is 0 and this can be determined by using the formula of the average mean.

Given:

The average mean of the first ten rolls is given by the formula:

[tex]\rm E(\bar{x_1}) = \dfrac{\sum^{10}_{i=1}(x_1)}{10}[/tex]

Now, put the values of known terms in the above equation.

[tex]\rm E(\bar{x_1})=\dfrac{10\times 3.5}{10}[/tex]

[tex]\rm E(\bar{x_1})={3.5}[/tex]

The average mean of the remaining five rolls is given by the formula:

[tex]\rm E(\bar{x_2}) = \dfrac{\sum^{5}_{i=1}(x_i)}{5}[/tex]

Now, put the values of known terms in the above equation.

[tex]\rm E(\bar{x_1})=\dfrac{5\times 3.5}{5}[/tex]

[tex]\rm E(\bar{x_1})={3.5}[/tex]

Now, [tex](\bar{x_1}-\bar{x_2}) = 3.5 - 3.5 = 0[/tex].

The mean [tex]\mu(\bar{x_1}-\bar{x_2})[/tex]  of the sampling distribution of the difference in sample means [tex](\bar{x_1}-\bar{x_2})[/tex] is 0.

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Answer:

The representative sample contained more girls than boys.

Step-by-step explanation:

A "sample" of something is a small part of it. A "representative sample" is a small part of the students that represents them all. A random sample would not include all 160 students. It is more likely that there would be more girls than boys, than more boys than girls. In total, there are more girls than boys: 95 girls to 65 boys. It is more likely that a sample of the total students would be just like the total, but smaller.

Answer:

14399

Step-by-step explanation:

break it down yall

119=100+19

121=100+21

100*100=1000

19*21=4399

add em up

Answer:

1/64

Step-by-step explanation:

(2^3)^-2

= 1/((2^3)^2)

= 1/2^6

= 1/64

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Hope this helps! :) If so, please mark my answer as brainliest!

The right answer is 1/64

please see the attached picture for full solution

Hope it helps.....

Answer:

600 sq mm

Step-by-step explanation:

I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape

area of rectangle= b x h

so, 15x30=450mm (square)

area of triangle= b x h (divided) 2

so, 10x30=300 (divided) by 2

= 150mm (square)

so, 450 (plus) 150= 600mm (square)

Answer:

96

Step-by-step explanation:

Volume= (a^2h)/3

Volume=36(8)/3

Volume=96

Answer:

its 96

Step-by-step explanation:

Answer:

Step-by-step explanation:

To make the denominator the same on both sides you need to multiply 1/4 by three and make it 3/12 and multiply 2/3 by four to get 8/12 and then you just subtract to get 3 5/12

Answer: 3 5/12

Step-by-step explanation:

Answer:

5x

Step-by-step explanation:

Answer:

3/4 ft.

Step-by-step explanation:

2(8-2x)+2(4-2x)=18

16-4x+8-4x=18

-8x=18-24

-8x=-6

x=-6/-8

x= 3/4

The width of the border is 3/4.

The perimeter of rectangle is, P= 2(l + b).

Given:

length= 8 feet, width = 4 feet

2(8-2x)+2(4-2x)=18

16-4x+8-4x=18

-8x=18-24

-8x=-6

x=-6/-8

x= 3/4

Hence, the width of the border is 3/4.

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Answer:

360

Step-by-step explanation:

The area of the top surface of rectangular cabin walkway is given by the equation A = 360 feet²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular cabin be represented as A

Now , the initial length of the cabin = 30 feet

The initial width of the cabin = 24 feet

And , Mr. Smith plans to build a 3-foot-wide walkway around the outside of the cabin

So , the increased length of the rectangular cabin = 30 + 6 = 36 feet

The increased width of the rectangular cabin = 24 + 6 = 30 feet

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of rectangular cabin A = 36 x 30

Area of rectangular cabin A = 1080 feet²

Now , the area of the cabin before increment of sides = 24 x 30

The area of the cabin before increment of sides = 720 feet²

So , the area of the walkway = 1080 - 720 = 360 feet²

Area of rectangular cabin walkway A = 360 feet²

Hence , the area of the rectangular cabin walkway is 360 feet²

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Answer:

12

Step-by-step explanation:

3x-9=27

3x=36

x=12

Answer:

-4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

AE=90°

AED=140°

DBA=220°

Answer:

it is the ratio of the length of the arc the angle forms÷the radius of the circle

Answer:

Amsterdam is the same distance from see level as Drachten

Step-by-step explanation:

both 2 units AWAY, although one is negative they are the same amount away from zero

for example, |2| = |-2|

Answer:

The answer is: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Step-by-step explanation:

Hope this helped :)

Answer:

A

Step-by-step explanation:

Answer:

The function that models the data in this table would be a linear function.

Step-by-step explanation:

161-52=9

7-14=3

9/3=3

52-43=9

14-11=3

9/3=3

Answer:

[tex]-\sqrt{5}[/tex]

I hope that this helps anyone in the future! I took the test and got a good grade thanks to the anwser above

Answer:

tan 30 = height of building / 40

height = 40 × 1/√3=40/√3

or = 23.1 feet

Answer:

Line : y = ax + b, passes (0, 3) and (2, -3)

=> b = 3

=> 2a + b = -3

=> a = -6/2 = -3

=> Slope a = -3

=> Option D is correct

Hope this helps!

:)

Answer:

D is the answer

Step-by-step explanation:

Slope = rise / run

Slope = y2-y1 / x2-x1

Where coordinates are

(0,3),(2,-3)

So x1=0,y1=3 , x2=2 , y2= -3

Slope= -3-3/ 2-0

Slope = -6/2

Slope = -3

Answer:

Any number both positive or negative.

y = {all numbers}

Step-by-step explanation:

Answer:Any number both positive or negative.

Step-by-step explanation:y=(all numbers)

Answer:

18

Step-by-step explanation:

3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.

3*3 + (5+2*8) - 12

9 + (5 + 16) - 12

9 + 21 - 12

30 - 10 - 2

20 - 2

18

Answer:

18

Step-by-step explanation:

First what you would do is plug in the numbers.

3x3+(5+2x8)-12

Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.

3x3+(21)-12

Then you add 3 times 3 and get 9.

9+21-12

Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.

Answer:5/8 and 1/4

Step-by-step explanation:

The coordinates of point K can be given by (-1/4, 5/8).

Cartesian coordinates are the values on a graph that can be used to show the location of a point on the graph.

There are 4 lines between 0 and -1 on the x-axis which divide it into 4 equal parts.

Point K lies on the first line. This means that the x-coordinate of the point is -1/4.

There are 8 lines between 0 and 1 on the y-axis which divide it into 8 equal parts.

Point K lies on the fifth line. This means that the y-coordinate of the point is 5/8.

From this, we can understand that the coordinates of the point K on the graph can be given by (-1/4, 5/8).

Therefore, the coordinates of point K can be given by (-1/4, 5/8).

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Answer:

you need a d/protector to do this

Step-by-step explanation: