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

Answer:

Statement                     Reason

∠1 = ∠2                          Given

AP = BP                          Given

∠APD = ∠BPC                Vertical angles

Therefore, by ASA , ΔAPD ≅ ΔBPC

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

Work Shown:

A = area of trapezoid

A = height*(base1+base2)/2

A = 9*(16+10)/2

A = 9*26/2

A = 9*13

A = 117

---------

B = area of triangle

B = base*height/2

B = 6*8/2

B = 48/2

B = 24

----------

C = area of entire figure

C = A+B

C = 117+24

C = 141 square inches

We can write "sq in" or "in^2" as shorthand for "square inches".

Step-by-step explanation:

uy6rhjf08yssyoludysyosyiwyeiwyowyiyiwywoyiw

Answer:

A = $1311 and 96cents

Step-by-step explanation:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

P = $1200

r = 1.8% = 0.018

n = 1 (compounded yearly)

t = 5

[tex]A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96[/tex]

Step-by-step explanation:

75 cm/s

75/100 m/s

0.75 m/s

(SINCE 100 CM =1M-------75 CM=75/100M)

Answer:

54 in³

Step-by-step explanation:

9×3×2 = 54 in³

_______

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

Work Shown:

Here are the variables we're working with

In this case, we know that

We can use this formula to help find the answer

S = (n/2)*(a+b)

This formula only works for arithmetic sequences

So,

S = (n/2)*(a+b)

42 = (14/2)*(a+(-12))

42 = 7(a-12)

42/7 = a-12

6 = a-12

6+12 = a

18 = a

a = 18 is the first term of this arithmetic sequence

That's why the answer is choice D.

-----------

Side note: your book or your teacher may use the notation [tex]S_n = \frac{n}{2}(a_1+a_n)[/tex] but I figured it would be easier to use 'a' and b in place of [tex]a_1[/tex] and [tex]a_n[/tex] respectively.

Answer:

C.) 87

Step-by-step explanation:

if you look at it from the other side, its counting down from 91 from the left.

Answer: 87

No explanation :)

Answer: A/The LINE graph

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

let f(x) = y and rearrange making x the subject

y = [tex]\frac{x+2}{7}[/tex] ( multiply both sides by 7 to clear the fraction )

7y = x + 2 ( subtract 2 from both sides )

7y - 2 = x

Change y back into terms of x with x the inverse function, that is

p(x) = 7x - 2

x---- independent variable

f(x)--- dependent variable(can also be "y")

The dependent variable (fx) is the output or you can say... For every value of the independent variable (x)...There's a unique value for the dependent variable.

Ok... Lemme explain

Say you have an equation

f(x)=2x+1

let x be take value from all natural Numbers (1,2,3..….)

When x is 1

f(x) = f(1) = 2(1)+1

=3

when x is 2

f(x)=f(2) = 2(2)+1 =5.

So for every x value... There's a unique value for f(x).

You dig?

Now

let's proceed to your question.

We're already given tbe values of x and f(x)

What we now need to find is the equation that corresponds to the values being gotten

From the table

When x =1 ...….f(x)=8

When x=2 .........f(x) = 32

When x=3 ...........f(x)=128

Etc

Which equation from the options will give you these values of f(x)???

You're gonna have to test run it quickly by puttinh values of x and see if they'll give the corresponding value of f(x).

Fun right?

OK. From Observation....

OPTION A WILL DO THE JOB.

f(x)=2.4^t where "t" represents x in this case.

Input your values of x in this

You'll get the exact f(x) value

Eg

when x= 1... f(x)= 2.4¹ =8

x=2 ..….f(x) = 2. 4² = 2.16 = 32.

OPTION A IS OUR ANSWER.

HAVE A GREAT DAY BRO!

Answer:

1/4; 0.4; 0.55; 3/5

0.25, 0.40, 0.55, 0.60

Already in order.

0.4; 1/4; 0.55; 3/5

0.40, 0.25, 0.55, 0.60

1/4; 0.4; 0.55; 3/5

1/4; 3/5; 0.4; 0.55

0.25, 0.60, 0.40, 0.55

1/4; 0.4; 0.55; 3/5

3/5; 0.4; 1/4; 0.55

0.60, 0.40, 0.25, 0.55

1/4; 0.4; 0.55; 3/5

Answer:

X + (X + 2) = 52

Step-by-step explanation:

Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:

X + (X + 2) = 52

2X + 2 = 52

X = (52 - 2) / 2

X = 50/2

X = 25

X + 2 =?

25 + 2 = 27

Therefore, the consecutive odd integers are 25 and 27.

Answer:

The mean of this sample is 203.

The variance of this sample is 3154.

Step-by-step explanation:

Mean:

Sum of all values divided by the number of values.

In this case:

[tex]M = \frac{192 + 113 + 200 + 287 + 225}{5} = 203.4[/tex]

Rounding to the nearest whole number, 203.

Variance:

Sum of the difference squared between each value and the mean, divided by the number of values. So

[tex]V = \frac{(192-203.4)^2 + (113-203.4)^2 + (200-203.4)^2 + (287-203.4)^2 + (225-203.4)^2}{5} = 3153.8[/tex]

Rounding to the nearest whole number, 3154.

The mean of this sample is 203.  The variance is 3154.

The variance of this sample is 3154.

Mean is given by,

[tex]M=\frac{192+113+200+287+225}{5}[/tex]

M=203.4

Sum of all values divided by the number of values.

In this case:

[tex]M=\frac{192+113+200+287+225}{5}\\M=203.4[/tex]

Rounding to the nearest whole number, 203.

Some of the differences squared between each value and the mean are divided by the number of values. So

[tex]V=\frac{(102-203.4)^2+(113-203.4)^2+.......+(225-203.4)^2}{5}\\V=3153.8[/tex]

Rounding to the nearest whole number, 3154.

To learn more about the variance visit:

https://brainly.com/question/25639778

#SPJ5

Answer:

Step-by-step explanation:

This is how I solved it.

Plotted the given points. See the attached.

Identified two pairs to connect, the two chords.

Determined the equation of both lines:

and

Identified perpendicular bisectors of those two chords, they both pass through the center of circle.

Midpoints of the chords:

and

The equations:

Solving the system found the intersecting of those, the center.

Found the center:

Found the distance from the center to one of the points (7, 1):

The equation of circle:

Verified all the other points are on same circle, confirmed.

Answer:

Corey have a better score on his math test

Step-by-step explanation:

13/15 = 86%

17/20 = 85%

turn the scores into percentage and you will get the answer

Answer:

Step-by-step explanation:

Given,

Gallon of juice drank in 5 weeks = 4

Therefore,

Gallon of juice drank in 1 week

[tex] = \frac{4}{5} (ans)[/tex]

Answer:

Step-by-step explanation:

W=(-6,4)

X=(6,-8)

here, x1=-6 , y1=4 , x2=6 , y2=-8

use formula

[tex]\sqrt{)x2-x1)^2+(y2-y1)^2}[/tex]

[tex]\sqrt{(6+6)^2+(-8-4)^2}[/tex]

[tex]\sqrt{12^2+(-12)^2[/tex]

[tex]\sqrt{144+144[/tex]

[tex]\sqrt{288[/tex]

16.97

Answer:

Step-by-step explanation:

Given:

i.

There are possible two points that can have a distance of 5 units from both of the given points, so possible two centers, hence two possible circles.

ii.

Let the points are A and B and the centers of circles are F and G.

The midpoint of AB, the point C is:

The length of AB:

The distance AC = BC = 1/2AB = [tex]\sqrt{10}[/tex]

The distance FC or GC is:

Possible coordinates of center are (h, k).

We have radius:

Comparing the two we get:

Simplifying to get:

We consider this in the distance FC or GC:

Then k is:

So coordinates of centers:

-------------------------------------------------------------------------------------

b.

Diameters:

The intercession of the diameters is the center. We solve the system above and get. Not solving here as it is already a long answer:

The point (2, 4) on he circle given.

Find the radius which is the distance between center and the given point:

The equation of circle:

Reason: It's the largest exponent

When a polynomial is written in standard form like this, the term with the largest exponent is written first, then the next largest and so on.  So in cases like this, we simply need to look at the left-most term; however, this may not always be the case as your teacher could easily mix up the terms to make sure you're paying attention.

This is considered a quintic polynomial due to the degree of 5.

Answer:

purple and red has same area

Step-by-step explanation:

Area of purple = 4 x 4 = 16 square cm

Area of red = 2 x 8 = 16 square cm

Area of yellow = 3 x 5 = 15 square cm

Answer Answer:

The scatter plot indicates that a positive linear relationship exists between the age of a car and its maintenance cost. This is depicted by the positive slope direction which indicates the maintainance cost of the car is will increase as the age of the car increases. If the correlation Coefficient of the data was calculated, a correlation Coefficient value of about 0.934 will be obtained.

Step-by-step explanation:

Check answer

Answer:

140 m^3 = 7 x 4 x 5

Step-by-step explanation:

Volume = H * W * L

Answer:

x = 30, y = 15

Step-by-step explanation:

x = 2*15 = 30

(Central angle is twice the inscribed angle standing on the same arc.)

Similarly,

y = 15

(Base angles of isosceles triangle are equal)

9514 1404 393

Answer:

  0

Step-by-step explanation:

The forces are equal and opposite, so the net force is zero.

  5N -5N = 0

Answer:

65°

Step-by-step explanation:

The sum of the measures of complementary anfglwes is 90°.

Let a = the measure of the complement.

m<1 + a = 90

25 + a = 90

a = 65