Answer the following and round to one decimal place.

The coordinate of K on the line segment JL is (4,5).

When a point divides a line segment externally or internally in some ratio, we use section formula to find the coordinates of that point.

[tex]P(x, y) = (\frac{mx_{2} +nx_{1} }{m+n} ,\frac{my_{2}+ny_{1} }{m+n})[/tex]

Where,

(x, y) are the coordinates of point P.

[tex](x_{1},y_{1} )[/tex] are the coordinates of point A.

[tex](x_{2},y_{2})[/tex] are the coordinates of point B.

m and n are the ratio values in which P divides the line segment AB internally.

According to the given question.

Coordinates of points J and L are (4, 2) and (4, 6) respectively.

K divides the line segment JL in the ration 3:1.

Therefore, the coordinates of K by section formula is given by

[tex]K(x, y) = (\frac{3(4)+1(4)}{3+1} , \frac{3(6)+1(2)}{3+1} )[/tex]

⇒ [tex]K(x, y) = (\frac{12+4}{4} , \frac{18 + 2}{4} )[/tex]

⇒ [tex]K(x, y) = (\frac{16}{4} ,\frac{20}{4})[/tex]

⇒[tex]K(x, y) = ( 4, 5)[/tex]

Hence, the coordinate of K on the line segment JL is (4,5).

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Answer:

3.319%

14.13%

Step-by-step explanation:

A: 20347, 20327, 22117, 21762, 20864, 20102, 21684, 20063, 21728, 21580, 21720, 20920, 21442, 20766

B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25, 4.46, 2.93, 3.64

Given the data:

The mean, m = Σx / n

The standard deviation, s = √Σ(x - m)²/ (n-1))

The coefficient of variation is, CV = s / mean

Using calculator to save computation time :

A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766

Data A :

Mean, m = 21101.5714

Standard deviation, s = 700.28925

CV = s / m * 100% = 700.28925 / 21101.5714 * 100% = 3.319%

Data B:

Mean = 4.089

Standard deviation, s = 0.5776

CV = 0.5776 / 4.089 * 100% = 14.13%

Answer:

sorry no idea hhcchuucghhf

Answer:

na answer ran nyo na po

Step-by-step explanation:

Answer:

a)  P  ( - 1.96  < Z < 1.96 )

b) P  ( - 2.58 < Z < 2.58)

c) P (  -0.995  < Z < 0.995 )

d) P  ( - z  <  Z  < z )     =  P ( ( Z ± 3σ )   then that is close to 1

Step-by-step explanation:

a)  P  ( - z  <  Z  < z )     =   P  ( - 1.96  < Z < 1.96 )

CI = 95 %   significance level  α  = 5 %   α  = 0.05    α/2 = 0.025

z = 1.96

b)  P  ( - z  <  Z  < z )     =   P  ( - 2.58 < Z < 2.58)

CI = 99 %   significance level  α  = 1 %   α  = 0.01    α/2 = 0.005

z = 2.58

c) P  ( - z  <  Z  < z )     =   P (  -0.995  < Z < 0.995 )

CI = 68 %   significance level  α  = 32 %   α  = 0.32    α/2 = 0.16

z ≈ 0.9954

We interpolate in this case

1             ⇒  0.1587

0.99      ⇒  0.1611

0.01    ⇒   0.0024        

 x       ⇒    0.0013       x  =  0.01 *0.0013  /  0.0024  

x =  0.005416

and    z =  0.99 + 0.005416

z = 0.9954

d) P  ( - z  <  Z  < z )     =   P (  - 0.00 < Z < 0. 00)

CI = 0.9973 %   significance level  α  = 0.0027 %   α  = 0.000027             α/2 = 0.0000135

z = 0.00003375     ⇒ z = 0.00

NOTE: The value of α  is too small. The Empirical Rule establishes that 99.7 % of all values in a normal distribution fall in the interval ( Z ± 3σ)

that means all the values. Then the probability of finding the random variable between that range is close to 1 and we can not find in tables a number to approximate just with only two decimal places

Kyle filled 6 10-oz cup(s), 11 14-oz cup(s), and 4 ​20-oz cup(s).

Let's define the variables:

x = number of 10-oz cups of coffee sold.

y = number of 14-oz cups of coffee sold.

z = number of 20-oz cups of coffee sold.

We know that:

Kyle served 21 cups of coffee, then:

x + y + z = 21

He used 294 ounces of coffee, then:

x*10 oz + y*14 oz + z*20 oz = 294 oz

He collected a total of $24.35, then:

x*($0.95) + y*($1.15) + z*($1.50) = $24.35

Then we have a system of 3 equations:

x + y + z = 21

x*10 oz + y*14 oz + z*20 oz = 294 oz

x*($0.95) + y*($1.15) + z*($1.50) = $24.35

To solve this, the first thing we need to do is isolate one of the variables in one of the equations, let's isolate x in the first one.

x = 21 - y - z

Now we can replace this in the other two equations to get:

(21 - y - z)*10 oz + y*14 oz + z*20 oz = 294 oz

(21 - y - z)*($0.95) + y*($1.15) + z*($1.50) = $24.35

Now we can simplify these two equations:

y*4 oz + z*10 oz = 294 oz - 210oz = 84 oz

y*($0.20) + z*($0.55) = $24.35 - $19.94 = $4.40

Now we need to do the same thing, we need to isolate one of the variables in one of the equations, we can isolate z in the first one:

z*10 oz = 84oz - y*4 oz

z = (84oz - y*4 oz)/10oz

z = 8.4 - y*0.4

Now we can replace this in the other equation:

y*($0.20) + ( 8.4 - y*0.4)*($0.55)  = $4.40

Now we can solve this for y.

y*($0.20) + $4.62 - y*$0.22 = $4.40

y*$0.02 = $4.40 - $4.62 = $0.22

y = $0.22/$0.02 = 11

Now that we know the value of y, we can use:

z = 8.4 - y*0.4

z = 8.4 - 11*0.4 = 4

Now that we know the value of z and y we can use:

x = 21 - y - z

x = 21 - 11 - 4 = 6

Then we found:

x = 6

y = 11

z = 4

this means that:

Kyle filled 6 10-oz cup(s), 11 14-oz cup(s), and 4 ​20-oz cup(s).

If you want to learn more about systems of equations, you can read:

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Answer:

<A = 41.41

Step-by-step explanation:

You want angle A.  Call it theta.

AC is the adjacent side. It is the side that is NOT the Hypotenuse.

The Hypotenuses is the longest side in a right triangle.

Cos-1 (Adjacent Side / Hypotenuse ) = theta

Adjacent side = 6

Hypotenuse = 8

Cos-1(6 / 8) = theta

theta = Cos-1(0.75)

theta = 41.41 rounded.

Answer:

-1/5

Step-by-step explanation:

Slope of the line = (y2-y1)/(x2-x1)

(2-(-8)/(5-3)

10/2 = 5

Perpendicular line = the slope is opposite of the reciprocal

-1/5

Answer:

This Symbol has 4 lines of Symmetry

Answer:

28 walnuts

Step-by-step explanation:

3 times 7 is 21 so 4 times 7 is how many walnuts niyi gets

Answer:

The second answer is the correct one

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Circles with the same centre are concentric circles

Answer:

concentric

Step-by-step explanation:

as well all know that two circles with the same center are called Concentric and there is no doubt about that

Answer:

<A = 63degrees

Step-by-step explanation:

From triangle DEF;

<D + <E + <F = 180

87 + 30 + <F = 180

117 + <F = 180

<F = 180 - 117

<F =  63degrees

Since <A = <F based on similarities, then <A = 63degrees

Answer:

0.05

Step-by-step explanation:

this is because the total probability always adds up to 1

Answer:

5

Step-by-step explanation:

2/5 pickled peppers means that there are 2 pickled peppers out of 5 total peppers.

Answer:

It is one-half the area of a rectangle with sides 6 units × 2 units

Step-by-step explanation:

area of the triangle is 6

base = 6

height = 2

so are is 6 x 2 / 2

Answer:did this a few months ago this answer is

It is one-half the area of a rectangle with sides 6 units × 2 units.

Step-by-step explanation:

like the person up there

(f-g)x= -x²+13x+13

Hope it helps you....

Answer:

10 ft

Step-by-step explanation:

The word problem is basically asking the length of one corner of the rectangle to the other. We can split the rectangle up into two right triangles and we will use the Pythagorean theorem to find the hypotenuse or the length from one corner to another. A^2 + B^2 = C^2 A and B are the lengths of the rectangle, 8 and 6. 8^2 + 6^2 = C^2

8^2 = 64 and 6^2 = 36

64 + 36 = 100.

the square root of 100 is 10 so the length of the hose is `10.

c

step by step explanation

hope this helps

Answer:

its C

Step-by-step explanation:

if u need some explanation just ask

Answer:

he would have 74 pennies i think

Step-by-step explanation:

he already has 11 pennies on the first day and each day after he gets 7 more. so putting that into a equation,specifically y=mx+b, the equation would be y=7x+11. since there are 9 days after that,9 would replace the x value. so you would plug 9 in making the new equation y=7×9+11. all u do now is solve, 7×9 is 63,then plus 11 is 74

Answer:

Follows are the response to the given question:

Step-by-step explanation:

The volume of the box:

[tex]V = x\times x \times h = 256000 \ cm^3\\\\\to x^2 \times h = 256000\\\\\to h = \frac{256000}{x^2}[/tex]  

The surface area of the open box is:

[tex]A(x) = x \times x + 2 \times (x \times h +x \times h)\\\\A(x) = x^2 + 4 \times x \times h\\\\A(x) = x^2 + \frac{1024000}{x}\\\\\frac{d(x^n)}{dx} = n \times x^{(n - 1)}\\\\[/tex]

Use above formula

[tex]A'(x) = 2 \times x - \frac{1024000}{x^2}\\\\[/tex]

[tex]A'(x) = 0\\\\2\times x - \frac{1024000}{x^2} = 0\\\\2x = \frac{1024000}{x^2}\\\\x^3 = 512000\\\\x = (512000)^{(\frac{1}{3})} = 80\ cm\\\\[/tex]

Now

[tex]A''(x) = 2\times 1 + 2\times \frac{1024000}{x^3}\\\\A''(x) = 2 + \frac{2048000}{x^3}\\\\x = 80 \ cm\\\\A''(80) = 2 + \frac{2048000}{80^3} = 6\\\\[/tex]

therefore [tex]A"(x) > 0,[/tex] x amount of material used in minimum.

[tex]h = \frac{256000}{80^2} = 40\ cm[/tex]

Answer:

D

Step-by-step explanation:

We want to find the difference between the two polynomials:

[tex](5x^3+4x^2)-(6x^2-2x-9)[/tex]

Distribute the negative:

[tex]=(5x^3+4x^2)+(-6x^2+2x+9)[/tex]

Rearrange the terms:

[tex]=(5x^3)+(4x^2-6x^2)+(2x)+(9)[/tex]

Combine like terms. Hence:

[tex]=5x^3-2x^2+2x+9[/tex]

Our answer is D.

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent the numbers of $8 and $7 shirts, respectively. Your system of equations can be written ...

  x + y = 9

  8x +7y = 69

Subtracting 7 times the first equation from the second gives ...

  (8x +7y) -7(x +y) = (69) -7(9)

  x = 6

Then y is ...

  y = 9 -x = 9 -6 = 3

Amanda bought 6 tees costing $8 and 3 tees costing $7.

Answer:

The agency makes 16110

The agent makes 3222

Step-by-step explanation:

First find the real estate commission

358000 * 4.5%

358000*.045

16110

The agent gets 20 percent of that amount

16110*20%

16110*.2

3222