Trudy has been training for an upcoming marathon. She has kept track of how many miles she runs every day for the past two weeks:

12, 15, 7, 14, 12, 3, 16, 15, 19, 20, 12, 9, 18, and 21.

a. Calculate the mean and median for this data.

Mean:
Median

b. Calculate the Quartile 1 (Q1)
Quartile 2 (Q2)

d. What is the IQR (Interquartile Range):

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

12, 15, 7, 14, 12, 3, 16, 15, 19, 20, 12, 9, 18, 21

Reordering the data:

3, 7, 9, 12, 12, 12, 14, 15, 15, 16, 18, 19, 20, 21

Mean = Σx / n = 193 / 14 = 13.76

The Median :

1/2(n+1)th term

15/2 = 7.5th term

(14 + 15) / 2 = 14.5

First quartile (Q1) :

1/4(n+1)th term

15/4 = 3.75th term

= 12

Q3 :

3/4(15)th term = 11.25 th term

Q3 = 18

Interquartile range = Q3 - Q1

Interquartile range = 18 - 12 = 6


Related Questions

Seth’s bank charges $5 a month to maintain a checking account and $0.50 for each check Seth writes. Last month, Seth paid a total of $6.50 in checking account fees. How many checks did he write?

A 1 C 3

B 2 D 4

Answers

Answer:

13

Step-by-step explanation:

Since Seth pays $0.50 for each check he writes, he would write (let x be how many checks Seth wrote) "x" checks for $6.50. That means;

1 = 0.50

x = 6.50

Now let us set up a fraction:

[tex]\frac{0.5}{1}=\frac{6.5}{x}[/tex]

Step 1: Cross multiply

[tex]0.5x=1\cdot \:6.5[/tex]

[tex]0.5x=6.5[/tex]

Step 2: Divide both sides by [tex]0.5[/tex]

[tex]\frac{0.5x}{0.5}=\frac{6.5}{0.5}[/tex]

Simplify

[tex]x=13[/tex]

Therefore, Seth will write 13 checks for $6.50

Please help me with this homework

Answers

Answer:

9.81 x 100,000

Step-by-step explanation:

Answer:

9.81*10^5

Step-by-step explanation:

Move the decimal point to the right of the first digit of the number. It should be a decimal number between 1 and 10. Write that down.

Then count the number of places you need to move the decimal point from that place to the right, and that's how many times 10 needs to be squared.

What is cos 30°? 60° 1 90° 30° V3 O A. v3 O B. 1 O c.​

Answers

Answer:

E

Step-by-step explanation:

Cos=Adjacent/hypotenuse

Cos30=rad3/2

The cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

What are trigonometric functions?

There are six major trigonometric functions as -

Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)

We can write the relation between them as -

Sine = 1/cosecantCosine = 1/secantTangent = 1/Cotangent

Also the following trigonometry relations hold true -

sin²Ф + cos²Ф = 1

1 + tan²Ф = sec²Ф

1 + cot²Ф = cosec²Ф

Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.

We can write the cosine function as -

cosФ = Base/Hypotenuse

cos(30) = √3/2

So, we can conclude that the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2

Therefore, the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

To solve more questions on trigonometric functions, visit the link below-

https://brainly.com/question/30672622

#SPJ7

Help please I might fail…

Answers

Answer:

9 /4 which equals 2 and 1/4

Step-by-step explanation:

plugged into the calculator!

Name each polygon. Then tell whether it is a regular polygon or not a regular polygon.

Answers

Answer:

1. quadrilateral; not regular

2. quadrilateral; regular

3. octagon; not regular

4. hexagon; regular

5. triangle; regular

6. pentagon; not regular

Can someone help me my grads are bad

Answers

Answer:

A

Step-by-step explanation:

Find the surface area of this rectangular prism.

a - 3 square units
b - 9 square units
c - 21 square units
d - 102 square units

Answers

Answer:

102 un²

Step-by-step explanation:

Area surface = 4( 3 x 7 ) + 2( 3 x 3 )

4( 21 )+ 2( 9 ) =

84 + 18 = 102 un²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

of the 30 students in the class 12 of them have pets. Using the ratio, how many students would have pets in school with 325 students. pls hurry it is an emergency 40 points.

Answers

Answer:

130 students

Step-by-step explanation:

12/30 have pets

12:30

2:5

2/5 × 325= 130

130 students will be the correct answer

Wich of the following equations would NOT contain the point (4,12)

Answers

Given:

The given point is (4,12).

To find:

The equation that would NOT contain the point (4,12).

Solution:

We need to check each equation for the point (4,12).

In option A, the given equation is:

[tex]y=-2x+20[/tex]

Putting [tex]x=4[/tex], we get

[tex]y=-2(4)+20[/tex]

[tex]y=-8+20[/tex]

[tex]y=12[/tex]

This equation contains the point (4,12).

In option B, the given equation is:

[tex]y=\dfrac{1}{2}x+8[/tex]

Putting [tex]x=4[/tex], we get

[tex]y=\dfrac{1}{2}(4)+8[/tex]

[tex]y=2+8[/tex]

[tex]y=10[/tex]

This equation does not contain the point (4,12).

In option C, the given equation is:

[tex]y=-\dfrac{1}{2}x+14[/tex]

Putting [tex]x=4[/tex], we get

[tex]y=-\dfrac{1}{2}(4)+14[/tex]

[tex]y=-2+14[/tex]

[tex]y=12[/tex]

This equation contains the point (4,12).

In option D, the given equation is:

[tex]y=\dfrac{3}{4}x+9[/tex]

Putting [tex]x=4[/tex], we get

[tex]y=\dfrac{3}{4}(4)+9[/tex]

[tex]y=3+9[/tex]

[tex]y=12[/tex]

This equation contains the point (4,12).

Only the equation in option B does NOT contain the point (4,12). Therefore, the correct option is B.

Hey!! Can any of y'all help me find the center and radius of this equation?

x^2+y^2-8x+2y=-8

Answers

Answer:

Center: (4,-2)

Radius: 2√3 units

Step-by-step explanation:

We wish to find the center and radius of the equation x²+y²-8x+2y=-8

Step 1: Complete the square for both variables:

x²+y²-8x+2y=-8

x²-8x+y²+2y=-8 (Rearrange)

x²-8x+16+y²+2y+4=-8+16+4 (Add to both sides)

(x-4)²+(y+2)²=12 (Reduce trinomials)

Step 2: Interpret the center and radius of the circle:

The equation of a circle is (x-h)²+(y-k)²=r² where (h,k) is the center of the circle and r is the radius of the circle. Since (h,k) translates to (4,-2), this means the center of the circle is (4,-2). Since r²=12, then r=√12=2√3 units

Please help! I will give Brainliest!

Answers

Answer:

A. 44/625

Step-by-step explanation:

There are 25 marbles total. To first calculate the probability of picking a yellow marble first can be represented as 11/25, the probability of picking blue is 4/25. We multiply these to figure out the probability of finding a yellow marble and then a blue one.

11/25 x 4/25 = 44/625

Kyona opened a savings account with $500. Her account grew at a rate of 3% per year compounded
annually. She made no deposits or withdrawals on the account. At the end of 4 years, what was the
account worth, to the nearest dollar?

Answers

Answer:

560.00

Step-by-step explanation:

Answer:

560 dollars

Step-by-step explanation:

3%×4×500=60

60+500=560

Solve for b.
- 28 – 6b= 8

Answers

Answer:

-6

Step-by-step explanation:

- 28 – 6b= 8

step 1 add 28 to each side

-28 + 28 cancels out

28 + 8 = 36

we now have -6b = 36

step 2 divide each side by -6

-6b / -6 = b

36 / -6 = -6

we're left with b = -6

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]b=-6[/tex]  

»»————- ★ ————-««  

Here’s why:  

We will have to preform inverse operations to solve for 'b'.

[tex]\boxed{\text{Solving the equation for 'b':}}\\\\-28-6b=8\\\\--------\\\rightarrow-28+28-6b=8+28\\\\\rightarrow-6b=36\\\\\rightarrow\frac{-6b=36}{-6}\\\\\rightarrow \boxed{\text{b=-6}}\\\\\text{The value of 'b' is \boxed{-6}.}[/tex]

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

-5×3+7×4-54÷9+2 ( step by step explanation pls do fast...)​

Answers

Answer:

9

Step-by-step explanation:

-5×3+7×4-54÷9+2

-5×3+7×4-6+2

-15+28-6+2

-15-6+28+2

-21+30

9

ok so basically I need help with this. Which expression is equivalent to x(15y+77)?​

Answers

Answer:

15xy+77x

hope this helps

have a good day :)

Step-by-step explanation:

8 to the power of 3
pls answer

Answers

Answer:

512

Step-by-step explanation:

8x8x8=512

pretty simple

Answer:

512

Step-by-step explanation:

8*8*8=512

Someone help me with this pls

Answers

Answer:

y^6  or  y^13/y^7

Step-by-step explanation:

As a fraction in simplest terms, what would you multiply the first number by to get
the second?
First number: 2
Second number: 3

Answers

Answer:

1/2

Step-by-step explanation:

if you have this equation, 2n=3, and wanted to solve for 'n' then you could multiply each side by 1/2

How many 2-digit numbers are multiples of 5 but not 4?

Answers

Answer:

14

Step-by-step explanation:

The numbers you are describing can end in 5. But there are others as well. They are  t = 10 + 20*n where n goes from 0 to 4. So if n is 4 that means that t = 4*20 + 10 = 80 + 10 = 90.

Solution

15 25 35 45 55 65 75 85 95 are all divisible by 5 but not  4

10 30 50 70 90                     are all divisible by 5 but not 4

Dan spent $765.00 on equipment to open a business selling bumitos. He sells the burritos for $3.50 each. The cost of the ingredients to make each burito is $0.75

Answers

Answer: 3:50b>765.00+0.75 279 Burritos

Step-by-step explanation:

solving systems of equations elimination

Answers

Answer: x=7, y=-2

umm do you need to show work?

Your friend has n pennies. You have 29 pennies. You and your friend have a total of 40 pennies. Which equation could be used to find n?

Answers

Answer:

40-29=n

Step-by-step explanation:

You have 29 in total yall have 40

so to find ur friends we subtract

Answer:

Step-by-step explanation:

your pennies + your friends pennies = the total number of pennies between you two

so the equation would be :

29 + n = 40

(im not sure if you wanted it solved for n but here is the solution just in case)

29 + n = 40

n = 40 - 29

n = 11

What is the least common
multiple of 15a² and 3a2?
1.3a2
2.3a3
3.15a2
4.15a3

Answers

Answer:

1. 3a2

Step-by-step explanation:

Brainliest. Brainliest WHO WANTS A BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

1. x > -25

2. x > -16

3. x > -2

4. x [tex]\geq[/tex] 10

Give brainliest

In the right triangle shown below, what is the sine of angle θ?


A.1.100

B.0.414

C.2.191

D.0.909

Answers

Step-by-step explanation:

In given rt.angled triangle,

Sin thita =p/h

=26.1/28.7

=0.9094

So correct answer is option D.

0.9094 is the sine of angle θ

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

here, we have,

from the given figure,

In given rt.angled triangle,

Sin thita =p/h

=26.1/28.7

=0.9094

So correct answer is option D.

To learn more trigonometry click:

brainly.com/question/26719838

#SPJ2

hello please help i’ll give brainliest

Answers

Erosion should be the right answer

Answer:

Volcanic Eruptions, Mountain Range Formations, Earthquakes

Step-by-step explanation:

Please answer this math question for me

Answers

Answer:

Hello! answer: e = 108 d = 32 f = 40 because

108 + 108 + 32 + 32 + 40 + 40 = 360 Hope this helps!

Graph the inequality on the axes below. Plz help this is due tonight! I’ll give you brainliest!

Answers

Answer:

If written in Standard form this equation would be:

[tex]y \geq \frac{x}{3} + (-\frac{18}{3} )[/tex]

Now i graphed this equation in Desmos and here is what i got:

Hope this helps!

hope it help if not let me k ow and I'll find a way to explain it :>

10. How do you find the product of the following? Show all your work. a. Binomial squared: (2x + 3)2 b. Binomial squared: (2x - 3)2 C. Difference of squares: (x + 5)(x - 5)

Answers

Answer:

A

Step-by-step explanation:

A because when you find the product you need to add


Write an equation in slope-intercept form of the line that has a slope of -9 and a y-intercept of -4
ANSWER ASAP PLEASE!!

Answers

y=-9x-4

Slope intercept form uses the formula, y=mx+b, where m is the slope and b is the y- intercept.

I hope this helps. Have a great day!

Answer:

Y=-9x-4

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b. M is the slope and b is the y-intercept. All you need to do is plug in the numbers. I hope I helped. :>

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