Blake recorded the number of minutes he ran on the treadmill each day for 2 weeks. His data is in
the table below.
Week 1 Week 2
25 minutes 30 minutes
38 minutes 43 minutes
40 minutes 17 minutes
32 minutes 20 minutes
15 minutes 27 minutes
22 minutes 13 minutes
35 minutes 35 minutes
What is the difference in the median between the two weeks that he ran in his treadmill?
3.14 minutes
3 minutes
2 minutes
5 minutes

The five number summary you wrote out is correct.

The tip of the left whisker is at 36, since this is the smallest value and we don't have outliers. The tip of the right whisker is at 64 which is the max (we don't have outliers here either).

The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint as the diagram shows.

The IQR (interquartile range) is found by computing IQR = Q3-Q1 = 55-39 = 16

Note that the lower fence is L = Q1 - 1.5*IQR = 39 - 1.5*16 = 15. Anything below this value of L is an outlier.

The upper fence is U = Q3 + 1.5*IQR = 55 + 1.5*16 = 113.5; anything above this value of U is an outlier. All of the values in the given set are between L and U, meaning we don't have outliers. If we had outliers, then we would have island points outside the main box-and-whisker plot.

I used GeoGebra to create the box-and-whisker plot.

Answer:

The data and 5-number summary is given.

Based on the 5 numbers we have the attached box-and-whisker plot.

Answer:

six equal to eight?????

Answer:

26 units all around

Step-by-step explanation:

when finding the perimeter use the formula

2(length) + 2(width)

in this case

length is 8

width is 5

5(2) = 10

8(2) = 16

10 + 16 = 26

Answer: The smallest integer value of x in the solution is 1.

Step-by-step explanation:

The given inequality: [tex]-3x+10\leq5[/tex]

To solve the inequality, we first subtract 10 from both sides

[tex]-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5[/tex]

Multiply negative sign on both sides ,we get

[tex]3x\geq5[/tex]

Divide both sides by 3, we get

[tex]x\geq\frac{5}{3}[/tex]

i.e. [tex]x\geq 1.6666666667\\[/tex]

[tex]x\geq1[/tex]

Hence, the smallest integer value of x in the solution is 1.

Answer:

The correct answer is "[tex]a+b+c=15[/tex]".

Step-by-step explanation:

The figure according to the given question is attached below.

Given that,

Number of people,

p = 4

Let the suitable notations are:

a, b, c, x, y, z and p

where,

Only leader M = x

Only champion M = y

Only range M = z

Exactly two medals = a+b+c

All three medals = p

The equations will be:

[tex]x+a+b+p=19[/tex]...(1)

[tex]y+a+c+p=27[/tex]...(2)

[tex]z+b+c+p=25[/tex]...(3)

[tex]x+y+z+a+b+c+p=48[/tex]...(4)

Now,

From equation (1), (2) and (3), we get

[tex]x+y+z+2(a+b+c)+3p=71[/tex]

[tex]x+y+z+2(a+b+c)=71-12[/tex]

[tex]x+y+z+2(a+b+c)=59[/tex]...(5)

By applying subtraction between equation (5) and (4), we get

[tex]a+b+c-p=59-48[/tex]

[tex]a+b+c=4+11[/tex]

[tex]a+b+c=15[/tex]

Answer:

6

Step-by-step explanation:

Y=-x+7

Y=-1+7

Y=6

Answer:

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The equation of the circle

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex](h,k) \to center[/tex]

[tex]r \to radius[/tex]

From the attached graph,

[tex](h,k) = (1,-1)[/tex]

[tex]r = 0.5[/tex]

So, we have:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Answer:

58

Step-by-step explanation:

The median in a box plot is the line in the middle of the box

The median is 58

Answer:

58

Step-by-step explanation:

The median in a box plot is the line in the middle of the box

The median is 58

Answer:

10

Step-by-step explanation:

2

Answer:

2(x + 5) = 2x + 10

Step-by-step explanation:

2(x + A) = 2x + 10

2x + 2A = 2x + 10

Equating constant terms on both sides :

2A = 10

A = 5

Therefore , 2(x + 5) = 2x + 10

Answer:

a. θ = 6t

b. 1.048 minutes

c. y = 54sin(6t)

Step-by-step explanation:

diameter d = 108 foot

distance above the ground = 58 feet

a.) expression to represent number of radians

radian = 6 rad/min

θ = wt

w = 6

θ = 6t

t is in minutes

b.) we are to find the time period for one full revolution

time period = 2π/6

π = 22/7

[tex]T=\frac{2(22/7)}{6}[/tex]

= 1.048 minutes

c. Expression showing Justins height above the ground

y = rsinθ -----(1)

θ = wt = 6t

we find the radius r

diameter = 2 * radius

108 = 2r

r = 108/2

= 54 foot

we put these values in the equation 1 above

y = 54sin(6t)

Answer:

chupapi muyanyo

Step-by-step explanation:

Answer:

3) A) 8 tomatoes are in Priya's garden

B) 18 since they are missing 2 tomatoes

4) I cant really answer with the information given.

Step-by-step explanation:

I need more information for number 4

Answer:

t = {4, 2}

Step-by-step explanation:

|3t-9| = 3

Split into two parts,

3t-9 = 3, and -(3t-9) = 3

Solve

t-3 = 1, and -(t-3) = 1

t = 4, and -t+3 = 1

t = 4, and t=2

Answer:

85-5=80 week 1

75= week 2

70=week 3

65=week 4

60=week 5

and so on.

Then Ashley

35+7=42 week 1

49=week 2

56=week 3

63= week 4

70=week 5

Step-by-step explanation:

Answer:

The answer is B. 6×18= 108 and 108-18= d

(D = 90) the difference between the length of the tablecloth and napkin.

Answer:

The function is decreasing

Step-by-step explanation:

For all values of x<4, the function is decreasing. Because the restricted domain would be (-∞,4), then x increases as y, or f(x), decreases.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Formula: Correct result / Total possible results

Plug it in: 3/9

Simplify: 1/3

Answer:

c=9.534

Step-by-step explanation:

Answer:

8 is 4% of 200, 1% of 200 is 2

Answer:

∆ RPQ

Step-by-step explanation:

__________________

Answer:

It's A

Step-by-step explanation:

The r coordinate of x is positive 4 which would be the frist number.

The r coordinate of y is positive 1 which would be the second number.

Answer:

0.04 or 4/100

Step-by-step explanation:

Think of a percentage as a very lazily written fraction. 4% = 4/100

Just convert the fraction to a decimal.

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hope it helps

Answer:

89.9 feets

Step-by-step explanation:

The diagrammatic representation of the problem is attached below.

The height, h of the tree can be calculated using the trigonometric relation :

Cosθ = adjacent / hypotenus

Cos 42 = h / 121

0.7431448 = h / 121

Height, h of tree = 121 * 0.7431448

Height = 89.9 feets

Answer:

51 sq units

Step-by-step explanation:

after plotting the vertices, the height of the triangle is 6 and the base is 17

A = 1/2(6)(17)

A = 51 sq units