Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?

Answers

Answer 1

Complete question :

The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.

Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?

Answer:

21 runners

Step-by-step explanation:

Mean, μ = 13 seconds

Standard deviation, σ = 0.3

Lana's race time = 13.2

We find the proportion of runners who had race time above 13.2 ;

Proportion of who had race tune above 13.2

P(x > 13.2)

Obtain the Zscore

Zscore = (x - μ) / σ

Z = (13.2 - 13) / 0.3

Zscore = 0.2 / 0.3 = 0.6667

P(Z > 0.6667) = 0.25239 (Z probability calculator)

This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)

Hence, Number of runners Lana beat = 25% of total runners ;

0.25 * 84 = 21

Hence, Lana beat about 21 runners


Related Questions

What is the range for the girl plot?

Answers

Answer:

15

hope this helps

have a good day :)

Step-by-step explanation:

ANSWER:

YOUR ANSWER IS C,15

EXPLAINATION:16 - 1 = 15, Range = 15

Simplify the expression below.

(xy)^8
A.
xy^8
B.
x^8y^8
C.
8xy
D.
8xy^8

Answers

Hopes this helps:

Answer: B. x^8y^8

Have a great day.

a Cone
15.1: Which Has a Larger Volume?
The cone and cylinder have the same height, and the
radii of their bases are equal.
Do you think the volume of the smaller one is more or
less than the volume of the larger one? Explain your
reasoning
8
8

Answers

Answer:

The cylinder has the larger volume. this is because the formula for the volume of a cone and cylinder are the same but the cone has the fraction 1/3.

So, three cones can fit into the cylinder, so it is less then one half

PLEASE HELP FAST Looking for the bottom angle to find my answer! 30 POINTS

Answers

I believe it’s 33 degrees

x = 242.7 m

Step-by-step explanation:

First we need to find the angle at one of the parachutists:

180 - 57 - 43 = 80°

We then use sine law to find the distance between the parachutists

[tex] \frac{x}{ \sin(57) } = \frac{285 \: m}{ \sin(80) } [/tex]

Solving for x

[tex]x = (\frac{ \sin(57) }{ \sin(80) } )(285 \: m) = 242.7 \: m[/tex]

PLSSS HELP ASAP and don’t send links I really need help this is hard ash

Answers

Answer:

[tex]b = \sqrt{ \frac{ {c}^{2} }{2 {\pi}^{2} } - {a}^{2} } [/tex]

Solve for x. Your answer must be simplified. -3 < x/-4

Answers

Answer:

x<12

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3< x/ −4

Step 1: Simplify both sides of the inequality.

−3< −1/ 4 x

Step 2: Flip the equation.

−1/ 4 x>−3

Step 3: Multiply both sides by 4/(-1).

( 4/ −1 )*( −1/ 4 x)>( 4 /−1 )*(−3)

x<12

Answer:

x<12

What is the circumference of a circle with a diameter of 72 feet? Leave your answer in
terms of pi.

Answers

Answer:

72π feet

Step-by-step explanation:

circumference of circle= 2πr

Diameter= 2(radius)

radius of circle

= 72 ÷2

= 36 ft

Circumference

= 2(π)(36)

= 72π ft

Please help :( will mark brainliest I don’t understand the questions be genuine and no LINKS !

Answers

Answer:

816

A=a+b/ 2  h=13+38 /2·32=816

Answer:

The area is 816 [tex]m^2[/tex]

Step-by-step explanation:

The formula for the area of a trapezoid is

A= [tex]\frac{a+b}{2}[/tex]h

A and B are the bases and h stands for the height

So, then you can input all of your known variables

A= [tex]\frac{38 +13}{2}[/tex](32) ( honestly, you could just input all of this into a calculator)

A= [tex]\frac{51}{2}[/tex](32)

A= 816

I hope this helps :)

hii! please help asap. i’ll give brainliest

Answers

Answer:

The answer is letter B. the second one

Find a single expression that represents the surface area of the rectangular prism

Answers

2(L * W) + 2(L * H) + 2(W * H) = surface area

The single expression that represents the surface area of the rectangular prism is :

S= 2lw + 2lh + 2wh

Let us assume the l is length, width is w and h is the height of the rectangular prism.

What is the rectangular prism?

In geometry, a rectangular prism can be stated as a 3-dimensional solid shape that has 6 faces with its base as rectangles.

So, the surface area S would be :

S = surface area

S= 2lw + 2lh + 2wh

where,

l= length

w= width

h = height

Therefore, the surface area of the rectangular prism is :

S= 2lw + 2lh + 2wh

check and know more about rectangular prism here :

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A dodecagonal pyramid has a surface area of 130 square inches. A similar dodecagonal pyramid has a surface area of 2080 square inches. If the larger pyramid has a height of 32, what is the height of the smaller dodecagonal pyramid?

Answers

Answer:

8 in.

Step-by-step explanation:

The ratio of the surface areas is equal to the square of the ratio of the heights

Let h = the height of the smaller dodecagonal pyramid

So,  [tex]\frac{2080}{130} = \frac{32^{2}}{h^{2} }[/tex]

[tex]h^{2} = \frac{32^{2} * 130 }{2080}[/tex]

[tex]h^{2} = 64[/tex]

h = 8 in.

Rectangular form, work if possible

Answers

Answer:

https://www.storyofmathematics.com/rectangular-form my answers in here

Step-by-step explanation:

"Four times a number is no more than 36."

Answers

Answer:

Step-by-step explanation:

if we consider x as the number we can write this inequality:

4x ≤ 36

If we divide the two members by 4 we have:

x ≤ 9

number 4, it would help this is a final

Answers

-1,3 and 1.5 or something

A cylinder is 5 centimeters tall and has a radius of 2.1 centimeters. Find the vilume to the nearest tenth.
A. 33.0 cm3^
B. 61.2 cm3^
C. 65.9 cm3^
D. 69.2 cm3^

BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

The Answer is 69.27

Step-by-step explanation:

In AABC, BC = 13, CA = 20, and AB = 19. Which statement about the angles of AABC
must be true?
OmZB > mZA > mZC
OmZC > mZB > MZA
OmZA > mZB > mZC
OmZC > mZA > mZB
OmZB > mZC > MZA
mZA > mZC > mZB

Answers

Answer:

aşkım telegramın varsa numaranı yaz konuşalaım bebeğim

The correct statement about the angles of ΔABC is,

⇒ m ∠B > m ∠C > m ∠A

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Sides of the triangle ABC are,

BC = 13

CA = 20

AB = 19

We know that;

Opposite angle of the larger side of the triangle are large.

Here, we have;

CA > AB > BC

Hence, We get;

⇒ m ∠B > m ∠C > m ∠A

Thus, The correct statement about the angles of ΔABC is,

⇒ m ∠B > m ∠C > m ∠A

Learn more about the triangle visit;

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The first step when dividing 9m2 − 4m − 6 by 3m is shown. Which could be the next step? 3m − − 3m − − 3m − − 3m − −

Answers

Given:

Consider the below picture attached with this question.

The given expression is:

[tex]\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}[/tex]

To find:

The next step.

Solution:

We have,

[tex]\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}[/tex]

Cancel out the common factors.

[tex]=3m-\dfrac{4}{3}-\dfrac{2}{m}[/tex]

Therefore, the correct option is D.

Find the volume of triangular prism. NO LINKS

Answers

Answer:

504

Step-by-step explanation:

hii i’ll give brainliest please help thanks :)

Answers

Answer:

b

Step-by-step explanation:

D should be correct :)
I recommend a show you should watch it’s called criminal minds

Top brainlist question
what is the size of angle QSR?​

Answers

Answer:

2x = 140  x = 70

Step-by-step explanation:

If you add the other 2 angles together, you get 150. Subtract 150 from 360 to get 210. Divide that by 3 and you get 70. Because QRS is 2 times the size of PQR, it is equal to 140.

Hope that this helps!

Explanation:

The sum of the interior angles of a quadrilateral is 360°.

x + 2x + 80 + 70 = 360

3x + 150 = 360

3x = 210

or

x = 70°

Therefore

angle Q = 70°

angle R = 2x = 140°

PLZZ HELP WITH THIS FI ITS EASY FOR YOU LOL HELPPP WITH THIS

Answers

Answer:

1. Rhombus

2. Square

3. Rectangle

4. Quadrilateral

5. Parellelogram

6. Trapezoid

7. Rhombus

8. Rectangle

9. Rhombus

Answer:

Step-by-step explanation:

1. Rhombus

2. Square

3. Rectangle

4. Kite (?)

5. Parallelogram

6. Trapezoid

7. Rhombus (?)

8. Rectangle

9. Rhombus

Lisa is 6 years older than twice her sister's age. Lisa is 12. Write and then solve an equation to determine the age of Lisa's sister.

Answers

Answer: lisa's sister is 3

Step-by-step explanation:12-6 is 6 then 6/2 is 3 so the check lets do it backwards 3*2 is 6 +6 because Lisa is 6 years older than twice her sister's age

The equation is y = 2x + 6. Then the age of her sister will be 3 years old.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Lisa is six years older than her younger sister. Lisa is twelve years old.

Let y be the age of Lisa and 'x' be the age of her sister. Then the equation is given as,

y = 2x + 6

If the age of Lisa is 12. Then the age of her sister is calculated as,

12 = 2x + 6

2x = 12 - 6

2x = 6

x = 6 / 2

x = 3

The equation is y = 2x + 6. Then the age of her sister will be 3 years old.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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The volume of a cylinder is
4,224.8 cubic millimeters, it has a
diameter of 16.4 mm, find the
height of the cylinder

Answers

Answer:

90424.05

Step-by-step explanation:

1st step is to find the equation = h = v/pie*r^2

2nd step put the value = h = 4,224.8/pie*16.4/2^2

in the formula diameter is half the radius so 16.4/2 = 8.2

I don’t know how to do these problems Pls help me

Answers

Answer:

The volume and area ones you just multiply the 2 numbers

if you cant multiply or is too la z. y to do so like me just g o o g l e it

Step-by-step explanation:

frank needs to save $600 to buy a set of golf clubs. He plans to save $75 per month. Write an equation that Frank can solve to determine the amount of money he still has to save (y) in relation to the number of months (x) in which he saved money. what is the slope of that equation?

Answers

(y) would be the amount of money he still needs to save and (x) would be the number of months he saved money. He plans to save $75 a month, and he has to save $600 in total. He still has to save 600 - 75x. So, the equation would be y = 600 - 75x.

hello please help i’ll give brainliest

Answers

The answer is the first one

Answer:

A

Step-by-step explanation:

Alex brought 48 cookies to school to celebrate his birthday. He gave 9 to teachers. He then shared equally the remaining cookies with his 18 classmates. How many cookies remained?

Answers

Answer:

3 cookies

Step-by-step explanation:

After he gave nine cookies to teachers,he have 39 cookies left.He shared 36 cookies to his 18 classmates at the rate of 2 cookies per person.Then,3 cookies remained.I may be wrong but,it is answer according to me.

hope it helps u and keep smiling :)

Willl give brainlyist if quick its timedd

Answers

Answer:

feel like its C

Step-by-step explanation:

what percent of 14 is 36
no links ​

Answers

Answer:

36 is 257% of 14.

Step-by-step explanation:

36/14 = 2.57,

so 36 is 257% of 14.

One out of eight students wore white. What percent of the students wore white?

A. 18%

B. 12.5%

C. 9%

D. 0.125%

Answers

Answer:

B

Step-by-step explanation:

100/8 = 12.5

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