Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.

700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
What is the standard deviation of the data? Round to the nearest whole number.

The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3),  B'(x, y) = (3, 3) and C'(x, y) = (6, 0).

In this problem we find a triangle whose vertices have the following coordinates: A(x, y) = (1, 8), B(x, y) = (3, 8), C(x, y) = (1, 10), and we are asked to enlarge the triangle by a scale factor of - 1.5 and with a centre of enlargement at (3, 6). Please notice that the negative sign of the scale factor involves both enlargement and reflection. Then, the operation can be done by the following operation:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]            (1)

Where:

If we know that O(x, y) = (3, 6), k = - 1.5, A(x, y) = (1, 8), B(x, y) = (3, 8) and C(x, y) = (1, 10), then the coordinates of the resulting expression:

A'(x, y) = (3, 6) + (- 1.5) · [(1, 8) - (3, 6)]

A'(x, y) = (3, 6) + (- 1.5) · (- 2, 2)

A'(x, y) = (3, 6) + (3, - 3)

A'(x, y) = (6, 3)

B'(x, y) = (3, 6) + (- 1.5) · [(3, 8) - (3, 6)]

B'(x, y) = (3, 6) + (- 1.5) · (0, 2)

B'(x, y) = (3, 6) + (0, - 3)

B'(x, y) = (3, 3)

C'(x, y) = (3, 6) + (- 1.5) · [(1, 10) - (3, 6)]

C'(x, y) = (3, 6) + (- 1.5) · (- 2, 4)

C'(x, y) = (3, 6) + (3, - 6)

C'(x, y) = (6, 0)

The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3),  B'(x, y) = (3, 3) and C'(x, y) = (6, 0).

To learn more on rigid transformations: https://brainly.com/question/1761538

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Answer:

Same side angles are supplementary

L+k=180

18x-18+72=180

18x=126

x=7

m∠18(7)-18

= 108°

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hope it helps...

have a grat day

Answer:

Step-by-step explanation:

answer for question no 3

answer for question no 4

Answer:

It's indeed A. Yet I think of reporting multiple same questions as spam and nonsense titles.

but nah, I won't, would be kinda focused on the toxic part then :D

Answer:

i think let me see

Step-by-step explanation:

Answer:

72 m^3

Step-by-step explanation:

volume of the kiosk = volume of cylinder + volume of cone

volume of a cylinder = nr^2h

n = 3.14

r = radius = 5/2 = 2.5

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

3.14 x (2.5^2) x 3 = 58.88  

Volume of a cone = 1/3(nr^2h)

3.14 x 1/3 x (2.5^2) x 2 = 13.08

13.08 + 58.88 = 71.96

To round off to the nearest cubic meter, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

= 72 m^3

Answer:

b = 14

u = 4

Step-by-step explanation:

I manually counted because I forgot how to solve this. HAHA

Hope this helps

Answer:

[tex]x^2-10x+18=0[/tex]

a = -10 and b = 18.

Step-by-step explanation:

Let w represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

[tex]20=2(x + w)[/tex]

Let's put w in terms of x. Divide both sides by two:

[tex]10=x+w[/tex]

And solve for w:

[tex]w=10-x[/tex]

So, the rectangle measures x by (10 - x) cm.

According to the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

a and b are the legs and c is the hypotenuse.

Substitute x for a, w for b, and 8 for c:

[tex]x^2+w^2=8^2[/tex]

Simplify and substitute:

[tex]x^2+(10-x)^2=64[/tex]

Square:

[tex]x^2+(100-20x+x^2)=64[/tex]

Isolate the equation. So:

[tex]2x^2-20x+36=0[/tex]

Since the leading coefficient is one, divide both sides by two:

[tex]x^2-10x+18=0[/tex]

Therefore, a = -10 and b = 18.

Answer:

[tex]circumference = \pi \: d \\ = 3.14 \times 3.2 \\ = 10.05 \: m[/tex]

Answer:

circumference=10.05 m

Step-by-step explanation:

radius =diameter/2

=3.2/2

=1.6 m

circumference=2πr

=2*3.14*1.6

=10.048 m

=10.05 m

Answer:

1 cm =5ft

2.7 cm =?

cross multiplying gives:

2.7 X 5= 13.5 ft

Answer:

(1,-8)

Step-by-step explanation:

this is be because a rectangle is parralel so opposite ends will have equal sides,  if you were to graph this, there would be a missing point in the spot (1,-8).  

Answer:

(1,-8)

Step-by-step explanation:

Each of the set of points; (-7,8) and (-7,-8) is reflecting over either the x or y-axis. So therefore the second set of points would be (1,8) and (1,-8).

Step-by-step explanation:

A geometric sequence is when we multiply one number by a set rate to obtain the next number.

For the first one, we multiply 5 by 2 to get 10, 10 by 2 to get 20, and so on. This is geometric

Next, we multiply 3 by 4 to get 12, 12 by 4 to get 48, and so on. This is geometric

Next, we multiply 3 by 5 to get 15, 15 by 5 to get 75, and so on. This is geometric

Next, we multiply 8 by 15/8 to get 15, and 15 by 5 to get 75. 15/8 and 5 are not the same so this is not geometric

Next, we multiply 14 by 21/14 to get 21, and 21 by 28/21 to get 28. 21/14 and 28/21 are not the same so this is not geometric

Next, we multiply 17 by 20/17 to get 20, and 20 by 23/20 to get 23. 20/17 and 23/20 are not the same so this is not geometric.

Finally, we multiply 2 by 5 to get 10, 10 by 5 to get 50, and so on. This is geometric

Answer:

A ( 3 , 4 )

B ( -3 , 2 )

C ( -2 , -4 )

D ( 6 , -3 )

E ( 0 , 0 )

Step-by-step explanation:

remember that x values go first and then y values ( x , y )

Answer:

x = -1/2, x = -5    OR    x = -0.5 and x = -4

Step-by-step explanation:

I’ll just put a picture, I can’t fully explain digitally.    ;D

To me, this means doing a righteous act has no constraint based on what situation anyone is in.

Answer:

7.69

Step-by-step explanation:

13.99 x 0.45 = 6.2955 or 6.3

13.99 - 6.3 = 7.69

Answer:

x = 24

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(14+18)* 18 = x^2

32*18 = x^2

576 = x^2

Take the square root of each side

sqrt(576) = sqrt(x^2)

24 =x

Answer:

y-y1=m(x-x1)

y-1/3=3/4(x-4)

y=3/4x-8/3

Answer:

x = 12.35

Step-by-step explanation:

Tan(39) = 10/x

Tan(39) * x = 10

x = 10 / Tan(39)

x = 12.35

Hope this helps!

Answer:

Step-by-step explanation:

Remember SOHCAHTOA.

In this case, we use TOA.

tan(39) = 10/x

x = 10/tan(39)

x = 12.349

Answer:

A. 3x+2=14. 3×+2-2=14-2. 3×=12

B. 12(×+10)=24. (12)(×)+(12)(10)=24. 12+120=24. 12×+120-120=24-120

C. 12×= -96. 12×/12. -95/12 x= -8

Answer:

x ≈ 69.6°

Step-by-step explanation:

The angle of elevation is the measure of angle x

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{16}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{15}{16}[/tex] ) ≈ 69.6°

The angle of elevation is 69.6° ( to the nearest tenth )

Answer:

$77.90

Step-by-step explanation:

The range between the highest and lowest is 27.50 so the lowest should be 27.50 less than 105.40. 105.40-27.50=77.90

So the lowest pay is $77.90

Answer:

a) 40 is the interquartile range

descriptive statistics, the interquartile range, also called the midspread, middle 50%, or H‑spread, is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartiles, IQR = Q₃ − Q₁.

b).

The first thing you always need to do before estimating fractions is to round each fraction either to the nearest 0, 1/2, or 1. Example #1. Estimate 3/7 + 5/9. Notice that 3/7 is close to 1/2 and 5/9 is also close to 1/2. Therefore, an estimate for 3/7 + 5/9 is 1/2 + 1/2 = 1.

Answer:

120

Step-by-step explanation:

we solve this question by using permutation because the order matters

nPr

5P4 = 120

Answer:

[tex]ML=9,MN=8[/tex]

[tex]MK=ML+LK[/tex]

[tex]9+-3+x[/tex]

[tex]=9-3+x[/tex]

[tex]MK=6+x[/tex]

[tex]ME=MN+NE[/tex]

[tex]ME=8+x[/tex]

Now using Secant secant theorem:-

[tex]ML*MK=MN*ME[/tex]

[tex]9(6+x)=8(8+x)[/tex]

[tex]54+9x=64+8x[/tex]

Subtracting 8x and 54 on both sides:-

[tex]54+9x-8x-54=64+8x-8x-54[/tex]

[tex]x=10[/tex]

[tex]KL=-3+x[/tex]

[tex]KL=-3+10[/tex]

[tex]KL=7[/tex]

so, your answer is C) 7

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hope it helps....

Answer:

C.) 7

Step-by-step explanation:

I got it correct on founders edtell

Answer:

HCF=8

LCM=480

Step-by-step explanation:

prime factor trees

Answer:

60

Step-by-step explanation:

48=2×2×2×2×3

64=2×2×2×2×2×2

80=2×2×2×2×5

H.C.F.=2×2×2×2=16

L.C.M=2×2×2×2×2×2×3×5

L.C.M.÷H.C.F.=(2×2×2×2×2×2×3×5)/(2×2×2×2)=2×2×3×5=60

Answer:

20.4

Step-by-step explanation:

use trig relations with the angle 74˚

the sides we know are the hyp (74) and the adj side to 74˚ (x).

the trig function associated with hyp and adj is cos.

cos = adj/hyp.

cos 74˚ = x/74

0.27 = x/74

x = 20.39

x = 20.4

Answer:

20.4

Step-by-step explanation:

1. c = b · sin(C) / sin(B) = 20.39716

This is the equation to find x.

c = x

b = 74

C = ?

B = 90

2. C must be found. We know that A is 90 and B is 74.

3. 180 = 90 + 74 + C

According to the triangle sum theorem, the angles of every triangle would add up to equal to 180. This means we should add 90 and 74 first.

4. 180 = 164 + C

You must do 180 - 164 which equals 16.

5. C = 16

This means that 16 is what C equals. You can finally plug in the equation with all the gathered information

c = x

b = 74

C = 16

B = 90

4.  x = 74 · sin(16) / sin(90) =

You could use a calculator to find the answer.

5. The answer you would get is 20.39716, but you need to round to the nearest tenth. The 3 behind the decimal is the tenth place but there is a 9 behind it meaning the 3 must be rounded up to a 4. This means that your answer to this problem is 20.4 when rounded to the nearest tenth.

Answer:

4+5-1535648&574£abjibav fgjr

Answer:

D. x ≥ 1

Step-by-step explanation:

The graph shows a shaded circle which starts at 1. This implies that 1 is included in the possible values of x. The line goes from 1 towards our tight. This means that the possible values of x are greater than or equal to 1.

The inequality representing the graph would be:

x ≥ 1