Mean = 5 13+14+15+19+19 ​ =

Answer:

The slope of the line is option B

The coordinates of the fourth vertex, H is; (-6.056, 7.302)

A kite has 4 sides and we know that a pair of diagonally opposite angles of a kite are said to be congruent.

We are given the coordinates of its' vertices as;

E(1,6), F(3,5), and G(4,-3).

The two diagonals are perpendicular;

Slope of EG = (-3 - 6)/(4 - 1)

Slope of EG = -9/5

Equation of line passing through G is;

y = mx + c

-3 = -9/5(4) + c

-15 = -36 + 15c

c = 51/15 = 17/5

y = (-9/5)x + 17/5    ------(1)

Equation of line passing through F is;

y = mx + c

6 = (5/9)(1) + c

54 = -9 + 9c

c = 7

y = (5/9)x + 7   -----(2)

Solving eq 1 and eq 2 simultaneously gives;

x = -1.528 and y = 6.151

If (a, b) are coordinates of vertex H, then;

(a + 3)/2 = -1.528 and (b + 5)/2 = 6.151

Thus;

a = -6.056 and b = 7.302

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Answer:

$2.20

You do 22÷10 and you get 2.20

Answer:

729

Step-by-step explanation:

        We will expand the factored form of (x − 9)(x − 1) into the same form as x² − 10x + 9 to show they are equal.

Distribute and multipy out:

(x − 9)(x − 1)

x * x = x²

x * -1 = -x

x * -9 = -9x

-9 * -1 = 9

Add together:

x² +  -x + -9x + 9

x² − 10x + 9

Use the Reflexive property:

x² − 10x + 9 = x² − 10x + 9 ✓

The Answer is 10/13 :)

Explanation: (13−0)

 = 10/13

(10−0)

​13,10

The slope of the line that represents this relationship is 10/13 .

The graph of the line representing the proportional relationship will be a straight line passing through these two points.

The x-axis represents the "x" values, and the y-axis represents the "y" values. The line should have a positive slope and go through the points (0, 0).

From the graph  (13−0)  = 10/13

From the graph one can see that (10−0) will lead to the points of ​13,10 So, the slope of the line that represents this relationship is 10/13 .

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Answer:

1. How many pupils does Mrs.Anub have in all

I am sorry but I could only solve question 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. How many pupils does she have in the class?

b. 40 pupils failed in the test.

c.  x = all pupil in the class

    percentage

d.   75/100 x = 40

e.   75/100 x = 40

           x        = 40*100/75

                     =  53.33

        pupils   =   53 people

f. There are 53 pupils in the class.

Answer:

y ≤ 45

Step-by-step explanation:

First y must be less than or equal to 45.

y ≤ 45 x + y  ≤  80

And total number of reservations cannot exceed 80:

x + y  ≤  80.

Answer:

1. $109.20 2. $46.80

Step-by-step explanation:

Doing the math, we find that 30% of 156 (138+18) is 46.80, which answers the second part of this problem. Plugging this value into the first part of the equation gives us what Stefan originally paid.

Good luck! Hope this helps!

Answer:

YES BECAUSE THIS DEFINITION FITS ALL ACUTE TRIANGLES AND DOES NOT FIT TRIANGLES THAT ARE NOT ACUTE

Step-by-step explanation:

i got it right on TTM

Answer:

You can see your total points on your dashboard. You can see points for individual topics on the Topic Explorer. After answering each question you will see how your points have changed.

Step-by-step explanation:

What best describes the strength of the correlation between variables is that it is a strong positive correlation, and it is likely causal.

Corresponds to a statistical relationship, which will be positive when both variables, such as x and y move in the same direction, that is, when one variable increases, the other also increases, being a causal relationship.

Therefore, the relationship can also be negative, meaning that when the value of one variable increases, the values ​​of the other will decrease.

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Answer:

[tex]4^{4}[/tex]

[tex](-7)^{6}[/tex]

5x5x5x5

Step-by-step explanation:

The exponent sign shows how many times you will multiply the base number by itself

[tex]4^{4}[/tex] is saying "multiply 4 by itself 4 times" which is the same as 4x4x4x4

[tex](-7)^{6}[/tex] is saying "multiply -7 by itself 6 times" which is the same as -7x-7x-7x-7x-7x-7

Answer:

See below

Step-by-step explanation:

x = 3 cos (-5pi/3)   =  1.5

y = 3 sin (-5pi/3) = 2.598

The probability of not picking a red marble is 0.2.

The probability of picking a yellow or green marble is 0.5

The probability of drawing an even number of a number greater than 4 is  1.

The probability of getting heads and an even number is 1.

The probability of drawing a 2 or a 4 is 0.25.

Probability determines how likely it is for an event to happen. The chances of the event occurring lies between 1 and 0.

The probability of not picking a red marble = (number of all the marbles - red marbles) / total marbles

4/20 = 0.2

The probability of picking a yellow or green marble = (number of yellow marbles / total number of marbles) + (number of green marbles / total number of marbles)

2/20 + 8/20 = 10/20 = 0.5

The probability of drawing an even number of a number greater than 4 = (number of even numbers / total numbers) + (numbers greater than 4 / total numbers)

5/10 + 5/10 = 1

The probability of getting heads and an even number is = (side that is head / total sides) x (even numbers on a die / total numbers on a die)

1/2 x 3/6 = 1

The probability of drawing a 2 or a 4 = 1/8 + 1/8 = 2/8 = 0.25

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-7/6 = - 1.167 in simplest form

Answer:

Step-by-step explanation:

You cant simply this into fraction but you can simplify it to decimal form

which is - 1.17 round off

Hey there!

15% * 1.340

= 15/100 * 1.340

= 0.15 * 1.340

= .15 * 1.34

= 0.201

Therefore, the answer should be: 0.201

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

3/10

Step-by-step explanation:

The probability of drawing a blue card first is 3/5 (3 blue cards out of a total of 5 cards). Then the probability of drawing a blue card again will be 2/4 (the blue card you drew first is removed so there are only 2 blue cards and 4 total cards). Now we multiply the probabilities together to get the probability of drawing a blue card, not replacing it, and then drawing another blue card = (3/5)(2/4) = 6/20 = 3/10.

Hope this helps! :)

A. The volume of the cylinder is: 7389.03 in.³

B. The volume of the cone is: 2463.01 in.³

C. The volume of the cone is one-third (1/3) of the volume of the cylinder.

A. Volume of the cylinder = πr²h = π(14²)(12) = 7389.03 in.³

B. Volume of the cone = 1/3πr²h = 1/3π(14²)(12) = 2463.01 in.³

C. The volume of the cone is one-third (1/3) of the volume of the cylinder.

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Answer:

[tex]\huge{\red{\angle ABC = \boxed{30}\degree}}[/tex]

Step-by-step explanation:

The equations of ellipses whose major axis lengths are twice their minor axis lengths are

To answer the question, we need to know what an ellipse is.

An ellipse is part of a conic section.

The equation of an ellipse centered at (h,k) with major axis on the x-axis and major axis length, 2a and minor axis length 2b is

(x - h)²/a² + (y - k)²/b = 1

The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the x-axis. Since the major axis is twice the length of the minor axis, a = 2b.

So, (x - h)²/a² + (y - k)²/b² = 1

(x - h)²/(2b)² + (y - k)²/b² = 1

(x - h)²/4b² + (y - k)²/b² = 1

The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the y-axis. Since the major axis is twice the length of the minor axis, a = 2b.

So, (x - h)²/b² + (y - k)²/a² = 1

(x - h)²/b² + (y - k)²/(2b)² = 1

(x - h)²/b² + (y - k)²/4b² = 1

So, the equations of ellipses whose major axis lengths are twice their minor axis lengths are

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The scale factor of the dilation of triangle def is three-tenths i.e. 3/10

From the complete question, the corresponding sides are:

DE = 10

D'E' = 3

The scale factor k is then calculated using"

DE * k = D'E'

So, we have:

10* k = 3

Divide both sides by 10

k = 3/10

Hence, the scale factor of the dilation of triangle def is three-tenths i.e. 3/10

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Answer: 3/10

Step-by-step explanation:

761680

[tex]\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}[/tex]

Identify the following's:

First Term [a]  =  60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r]  =  1.2

Total Terms [n] =  44

===========================

[tex]\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}[/tex]

===========================

Solving Steps:

[tex]\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}[/tex]

[tex]\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}[/tex]

[tex]\rightarrow \sf 761679.5808[/tex]

[tex]\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)[/tex]

Answer:

x-intercept: (4, 0), (-5, 0)

y-intercept: (0, -20)

Explanation:

Their x-intercept:    (at x intercept, y will be 0)

Their y intercept:   (at y intercept, x will be 0)

Answer:

Step-by-step explanation:

Finding x-intercept(s)

Finding y-intercept

Answer:

[tex]64^1\:\text{or}\:64[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{64^4}{64^3}=64^{4-3}=64^1=64[/tex]

Step-by-step explanation:

64^4/64^3= 64^(4-3)= 64^1= 64

360 ÷ 100 = 3.6

[tex]\bf{\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace3.\emptyspace6\:\:\:\:\:\:\:\:\:\\ 100\overline{|\smallspace360.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace0\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace6\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace6\emptyspace0\emptyspace0}\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}}[/tex]

I hope it helps you...Salu2!!!!

Answer:

0.277778

Step-by-step explanation:

hope this helps also please don't cry everyone loves you

Answer:

13x+50=641.50, where x is the about of hours Luke worked. (x=45,5[h])

Answer:

23

Step-by-step explanation:

Follow the PEMDAS order of operations

3 x (6 + 2) - 3 + 4 ÷ 2

Parenthesis (P):

(6 + 2) = (8)

Exponents (E):

none

Multiply/Divided (MD) left to right:

Multiply: 3 x 8 = 24

           = 24 - 3 + 4 ÷ 2

Divided: 4 ÷ 2 = 2

           = 24 - 3 + 2

Add/Subtract (AS) left to right:

Subtract: 24 - 3 = 21

            = 21 + 2

Add: 21 + 2 = 23

Answer:

x≤5p

Step-by-step explanation:

40/8=5 Kaitlin can buy UP TO 5 pounds of candy at $8/pound. So she will buy less than or equal to 5 pounds