Scores on the final in a statistics class are as follows.

75 25 75 52 80 85 80 99 90 60
86 92 40 74 72 55 87 70 85 70

Required:
a. Calculate the 25th, 50th, and 75th percentiles.
b. Calculate the interquartile range.
c. Construct a boxplot. Are there any outliers?

Answer:

8.5

Step-by-step explanation:

18=2x+1

-1        -1

_______

17=2x

_    _

2     2

8.5=x

Answer:

b=5

Step-by-step explanation:

8b+12 = 52

8b = 52-12

8b = 40

Therefore, b= 40/8 = 5!

Hope it helps! :)

Answer:

Step-by-step explanation:

Actually it’s 4 square root 17

According to the provided diagram, which depicts two congruent triangles, the measure of angle S is 27.

If all 3 corresponding sides and all 3 corresponding angles are equal in size, the two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.

If two triangles meet all 5 requirements for congruence, then they are congruent. They are right angle-hypotenuse-side (RAHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SSS) (RHS). All three equivalent sides of the acronym SSS (side-side-side) are congruent. SAS (side-angle-side) (side-angle-side) Congruence exists between two sides and the angle between them. ASA (angle-side-angle) (angle-side-angle).

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Answer:

180

Step-by-step explanation:

its con so add up all the nums up to get a sum 95+27+58=180

Answer: Melanie has the most money at the end of the week.

Step-by-step explanation:

Melanie gets the 1 weekly allowance. But it could also depend on how much her weekly allowance is. Your bus rides aren't a lot, so riding the bus 7 times doesn't take much money. She also gets paid for 2 hours, so she could be working somewhere with more money being paid by the hour. While on the other hand, Dana could be working a minimum wage job and wasting more money, because she also pays for food. She could be on her own and have to spend more money for her needs and the things she would need. (And because it says Melanie gets 1 weekly allowance that means she still lives with her parents so they pay for her benefits and things she needs.)

Answer:

9-140=100     10-250=150

Step-by-step explanation:

ok

Answer:

x=10, y=-1

Step-by-step explanation:

Multiply both sides of the top equation by 2 to get 2x-2y=22

subtract the two equations

2x-2y=22

2x+y=19

-3y=3

y=-1

plug the -1 in any of the two equations (I'll do the second one)

2x-1=19

2x=20

x=10

x=10, y=-1

Answer:

The amount of money​ you'll have at the end of the years is 6460 dollars

Step-by-step explanation:

The total principal sum of money deposited = [tex]3400[/tex] dollars

The annual rate of interest is [tex]4.5[/tex] %

The time period for which the amount is invested [tex]= 20[/tex] years

As we know

[tex]A = P (1 + rt)[/tex]

where A is the amount after 20 years

P is the principal sum of money

r is the rate of interest and

t is time period in years

Substituting the given values in above equation, we get -

[tex]A = 3400 (1 + \frac{4.5}{100} * 20)\\A = 6460[/tex]dollars

Answer:

Ms place is working at a faster rate because Mr.Hicks is doing 0.8 per minute while Ms.Place is doing 0.83 per minute.

Answer:

IJ = 12.8

Step-by-step explanation:

Since you are missing 1 side, set up a proportion 8 is to 3.2 as 32 is to x, so

[tex]\frac{8}{3.2} =\frac{32}{x}[/tex] so solve for x by cross multiplying 8x = 102.4, so x = 12.8

Answer:

Step-by-step explanation:

y = 85x+90

3) 85*3+90 (rule)

y= 85*3 = 255 + 90 = 345  (output)

4) 85*4+90 (rule)

y = 85*4=  340 + 90 = 430 (output)

9514 1404 393

Answer:

  99°

Step-by-step explanation:

If we assume that angles 5 and 7 are vertical angles, they are congruent:

  10x -9 = 9x

  x = 9 . . . . . . . add 9-9x

Then angles 5 and 7 are ...

  (10·9 -9)° = 9·9° = 81°

Angle 6 will be the supplement to this.

  angle 6 = 180° -81°

  angle 6 = 99°

Answer:

the answer is not 99

Step-by-step explanation:

Answer:

1.3 m²

Step-by-step explanation:

The shape is a trapezoid.

Area of a trapezoid = ½(a + b)*h

Where, a = 0.8 m

b = 1.8 m

h = height of the trapezoid which is not given.

Therefore, find h using trigonometric function with 45° as reference angle:

Hypotenuse = 1.4 m

Opposite = h

Apply SOH, which is:

Sin 45 = Opp/Hyp

Sin 45 = h/1.4

1.4*Sin 45 = h

0.989949493 = h

h ≈ 1.0 m

✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²

Answer:

x>8, x<-8, -8<x<8

Step-by-step explanation:

The domain is determined solely by the denominator in this problem. The denominator cannot equal 0, and as a result in this problem cannot equal 8 or -8. The above answers are the results of that notion. These do not equal any form of 8, but it's perfectly fine to be negative.

Answer:

D. m= 60, n= 24

Step-by-step explanation:

The angle marked with blue, will also be 2m° (Vertically opposite angles)

So, 2m = (4m- 120)°

2m = 120°

m = 60°

Now, (4m-120)° = 5n° (Vertically opposite angles)

[4(60)- 120]° = 5n°

240- 120 = 5n°

120/5° = n

n= 24°

Hope this helps you

Answer:

The third side would be greater than 11 or less than 21

Answer:

13x=13

Step-by-step explanation:

...............

Answer:

it decreased by 5.55% change of 6%

The relative change is -6% Rounding to the nearest percent.

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

The relative change can be calculated by dividing the absolute change (the subtraction of the values) by the initial value.

The absolute change is the final value minus the initial value;

Absolute change = 51000 - 54000 = -3000

Now, calculating the relative change;

Relative = -3000/54000

Relative = - 0.0555

Since the relative change is negative, this change indicates a decrease.

Therefore, the relative change is -6% Rounding to the nearest percent.

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Answer:

The resulting expression is [tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]. We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.

Step-by-step explanation:

Statement is incomplete. The question is missing. We infer that question is: What is the resulting expression? Let [tex]f(x) = 2^{x}[/tex], each operation is defined below:

Vertical compression

[tex]g(x) = k\cdot f(x)[/tex], where [tex]0 < k < 1[/tex]. (1)

Vertical translation upwards

[tex]g(x) = f(x) + c[/tex], where [tex]c > 0[/tex]. (2)

Horizontal translation leftwards

[tex]g(x) = f(x+b)[/tex], [tex]b > 0[/tex]. (3)

Now, we proceed to transform the parent exponential function:

(i) A vertical compression by a scale factor of 13 ([tex]k = \frac{1}{13}[/tex])

[tex]f'(x) = \frac{1}{13}\cdot 2^{x}[/tex]

(ii) Vertical translation of 3 units up

[tex]f'' (x) = \frac{1}{13}\cdot 2^{x} + 3[/tex]

(iii) Horizontal translation of 3 units to the left

[tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]

The resulting expression is [tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]. We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.

Answer:

Step-by-step explanation:

Please mark as brainliest

Answer:

Step-by-step explanation:

%s can drive a person crazy.

44% increase

Cost = 100% * x + 44%x

Cost = x ( 100 / 100 + 44/100)

Cost = x (1 + 0.44)

Cost = 1.44 x

93% decrease

Cost = 100%x - 93%x

Cost = x * (100/100 - 93/100)

Cost = x * (1 - 0.93

Cost = 0.07 x

Answer:

1.44 and 0.07

Step-by-step explanation:

(a)

A 44% increase of the original amount (100%) is

100 + 44 = 144% = [tex]\frac{144}{100}[/tex] = 1.44 ← multiplier

(b)

A 93% decrease of the original amount (100%) is

100 - 93 = 7% = [tex]\frac{7}{100}[/tex] = 0.07 ← multiplier

Answer:

747464

Step-by-step explanation:

3737363746474747

Answer:

1

Step-by-step explanation:

f'(x) = -d(cos(x))/dx*sin(x) + d(sin(x))/dx * cos(x)

f'(x) = sin(x) * sin(x) + cos(x)*cos(x)

f'(x) = 1

I haven't got theta to comply with your request. The best I can do us use the word theta. x has exactly the same meaning, and the answer would be 1.

Answer:

Step-by-step explanation:

1.

Multiply the first equation by 3/2:

Subtract the second equation:

Find y:

2.

Double the second equation and subtract the first one:

Find y:

3.

Subtract the second equation from the first one:

Find y:

4.

Multiply the second equation by 4 and subtract the first one:

Find x:

Answer:

1. [tex]x\x=\frac{22}{5}=4.5, y=\frac{27}{5}=5.5[/tex]

2. [tex]x=\frac{16}{5}=3.2,y=\frac{41}{5}=8.3[/tex]

3. x=−7,y=15.

4. [tex]x=\frac{37}{15}=2\frac{7}{15},y=\frac{349}{15}=23\frac{4}{15}[/tex]

Step-by-step explanation:

I hope this helps.

Answer:

The answer is 30.

Step-by-step explanation:

Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.

Answer:

88

Step-by-step explanation:

Looks close to a right angle so 88 degrees most likely.

Answer:

b 88

Step-by-step explanation: