J.V. Lin is an Olympic athlete competing in the women's javelin throw. The distances of her successful throws (in meters) are normally distributed with mean distance 60 meters and standard deviation 4 meters. (Round to the nearest percent and enter each of your answers as a whole number between 0 and 100.) (a) (2 points) What is the probability that on her first throw, J.v. Lin beats her mean distance? probability = ________%(b) (3 points) The current leader in the Olympics finals has thrown a distance of 66.5 meters. J.V. Lin has one attempt left to beat the leader's throw. What's the probability that Lin beats this throw? probability _______%

Answers

Answer 1

Answer:

a) 50%

b) 5%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with mean distance 60 meters and standard deviation 4 meters.

This means that [tex]\mu = 60, \sigma = 4[/tex]

(a) (2 points) What is the probability that on her first throw, J.v. Lin beats her mean distance?

This is, as a proportion, 1 subtracted by the pvalue of Z when X = 60. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 60}{4}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

1 - 0.5 = 0.5

0.5*100% = 50%

50% probability.

(b) (3 points) The current leader in the Olympics finals has thrown a distance of 66.5 meters. J.V. Lin has one attempt left to beat the leader's throw. What's the probability that Lin beats this throw?

This is 1 subtracted by the pvalue of Z when X = 66.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{66.5 - 60}{4}[/tex]

[tex]Z = 1.63[/tex]

[tex]Z = 1.63[/tex] has a pvalue of 0.95

1 - 0.95 = 0.05

0.05*100% = 5%

5% probability.


Related Questions

A candy bag contains 12
green candies and 1
blue candy. Preston will choose 2
candies from the bag without looking.

Which answer describes a possible event?

choosing 2
2
blue candies
choosing 2 blue candies

choosing 1
1
blue and 1
1
red candy
choosing 1 blue and 1 red candy

choosing 2
2
red candies
choosing 2 red candies

choosing 1
1
blue and 1
1
green candy

Answers

Answer:

choosing 1 blue and 1 green candy or choosing 2 green candies

A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag

complete one column of the table with prices where popcorn is priced..... and to be continue ​

Answers

Answer:

The price for a 60-ounce bag of popcorn would be $16

Step-by-step explanation:

Answer:

The price for a 60-ounce bag of popcorn would be $16

Step-by-step explanation:

Function Modeling

The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.

The selection of the model is often a complex decision that involves statistics and data analysis.

The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.

The equation of a line of the volume V and the price p can be found with the expression

We'll use the first two values (6,10) (8,20)

Simplifying and rearranging, we get the model

To test the accuracy of the model, we compute the values of p for V=35 and for V=48

Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60

The price for a 60-ounce bag of popcorn would be $16

50 POINTS BRAINLIEST

Answers

Answer:

31 degrees

Step-by-step explanation:

Measure angles 1 and 3 are vertical angles, meaning they are equal which means 3 = 149 degrees

Angles 2 and 3 are adjacent and supplementary, meaning that their angles add up to 180.

180 - 149 = 31 degrees

Answer:B would be right so you are right!(give other user brainliest)

Step-by-step explanation:

The system shown is
O
inconsistent

equivalent
consistent

Answers

Answer:

This is pogers

Step-by-step explanation:

What is ur minecraft usernaem

Answer:

consistent  

A consistent and independent solution to a system of linear equations is one point

A consistent and dependent solution to a system of linear equations is where they are the same line ( they could also be called equivalent)

An inconsistent solution is where there is no solution, the lines do not cross

Since the lines cross at exactly one point, this is a consistent and dependent solution

The solution is at x = 3  ( 3 units to the right of the origin)

and y = 2 ( 2 units up from the origin)

Step-by-step explanation:

i can’t figure this one out.

Answers

Answer:

5

Step-by-step explanation:

3/12=x/20

cross multiply

12x=3(20)

12x=60

x=60/12

x=5


The average number of televisions per family is numbered in the tens.
A. True
B. False

Answers

Answer:

False!

~The Average number of TVs in a house is 2 - 3

Hope this helps!

Answer:

False.

The average number of televisions per family would have to be more than ten for it to be true, and I find this very hard to believe.

Hope I helped!

Is this a complementary, supplementary, vertical, or adjacent

ill give brainly​

Answers

Answer:

its complemtary

Step-by-step explanation:

check this photo

A program to restore an endangered frog species began 8 months
ago. The table shows the population of the species at various
times since the program began.
Month
Number of Frogs
0
11
2
69
4
195
6
547
8
1,231
On average, what has been the monthly change in the frog
population over the last 4 months?

Answers

Answer:

195

Step-by-step explanation:

Therefore, the monthly change in the frog population over the last four months is [tex]195[/tex].

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

As per the given information,

The monthly change in the frog population over the last four months is [tex]195[/tex].

Hence, the monthly change in the frog population over the last four months is [tex]195[/tex].

To know more about the simplification

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a researcher read a 12 page article in 30 mintues. on average, how much time did the researcher spend reading each page of the article? (1 minute = 60 seconds)

Answers

total minute(one year) = 15 X 365 no of pages read in one year = 12 x 200 = 1200

number of page read in one minute = no of pages read in one year/total minute(one year) = 2400/5475= .4383

ie 1 minute - .4383 page

ie 60 sec - .4383 page

time for 1 page 60/.4383 = 136.89

Part 2

Time needed to read a page 30 sec less

ie 136.89 -30 = 106.89.

so number of pages read in 1 sec = 1/106.89

number of pages read in 1 min = 1/106.89 * 60

number of pages read in a day = 1/106.89 * 60 * 20

number of pages read in a year = 1/106.89 * 60 * 20 * 365 = 4097.67 ( ie 1/106.89 * 7300)

number of books = number of pages read in a year/200 = 20.49

Write 40673 to the nearest thousand.​

Answers

Answer:

50000

Step-by-step explanation:

Answer:

41000

thank me later have a great day

Mariel says that a jewelry box that is 3 inches high, 4 1/2 inches wide, and 5 inches long has a volume of 67 1/2 inches. Katie says that answer is not quite correct. What is the error in Mariel's answer?

Answers

Answer: inside width, length and heights may be smaller

Step-by-step explanation. Walls of box have certain thickness, assume 0.1 inches. Then inner measures would be 2.8 in, 4.3 in and 4.8 in. You need to reduce thickness of wall from both sides.

You have 26 songs in your MP3 player. After you add some more, you have 39 songs. How many songs did you add?

A. -13
B. 13
C. 65
D. 23

Answers

Answer:

b

Step-by-step explanation:

39-26 = ?

39

-26

____

 13

you added 13 songs.

If you are asked to complete 5 sit-ups for every 9 push-ups you complete, answer each of the following questions:
Write the ratio of push-up’s to sit-ups three different ways.

_____________ ____________ ____________


If you complete 36 push-ups, how many sit-ups did you complete?



____________

If you complete 95 sit-ups, how many push-ups did you complete?



_____________

Answers

Answer:

1)5:9 ,5 of 9 5/9 2) 36x5 3) 95x5

Suppose that the Celsius temperature at the point (x, y) in the xy-plane is T(x, y) = x sin 2y and that distance in the xy-plane is measured in meters. A particle is moving clockwise around the circle of radius 1 m centered at the origin at the constant rate of 2 m/sec.How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point?

Answers

Missing information:

How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point

[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]

Answer:

[tex]Rate = 0.935042^\circ /cm[/tex]

Step-by-step explanation:

Given

[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]

[tex]T(x,y) =x\sin2y[/tex]

[tex]r = 1m[/tex]

[tex]v = 2m/s[/tex]

Express the given point P as a unit tangent vector:

[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]

[tex]u = \frac{\sqrt 3}{2}i - \frac{1}{2}j[/tex]

Next, find the gradient of P and T using: [tex]\triangle T = \nabla T * u[/tex]

Where

[tex]\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})} = (sin \sqrt 3)i + (cos \sqrt 3)j[/tex]

So: the gradient becomes:

[tex]\triangle T = \nabla T * u[/tex]

[tex]\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] * [\frac{\sqrt 3}{2}i - \frac{1}{2}j][/tex]

By vector multiplication, we have:

[tex]\triangle T = (sin \sqrt 3)* \frac{\sqrt 3}{2} - (cos \sqrt 3) \frac{1}{2}[/tex]

[tex]\triangle T = 0.9870 * 0.8660 - (-0.1606 * 0.5)[/tex]

[tex]\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5[/tex]

[tex]\triangle T = 0.935042[/tex]

Hence, the rate is:

[tex]Rate = \triangle T = 0.935042^\circ /cm[/tex]

sin430° x sin490° x sin530° = 1/8​

Answers

Answer: 1/8

Step-by-step explanation:

https://math.stackexchange.com/a/1788346

Which graph shows a proportional relationship between X and y

Answers

C is correct cause it’s a straight line going through the middle

Find the slope of the line that passes through (10, 2) and (1, 6).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

The original answer would be 4 over negative 9 but when divide a positive by a negative your new answer would be negative 4 over 9. The correct format should be negative 4 over 9

Please I’m dying to know the answer can anyone help me?

Answers

Answer:

-1/3x+2y=4

Step-by-step explanation:

Substitute the negative reciprocal.

-1/3x+2y=4

SOLVE FOR X!!
(will mark brainliest)

Answers

Answer:

19

Step-by-step explanation:

Since it is a 90° angle we can say that 3x-15+2x+10 = 90.

3x-15+2x+10 = 90

5x-5=90

5x=95

x=19

By solving this we find that x is equal to 19.

Answer:

19

Step-by-step explanation:

3*19 = 57

57 - 15 = 42

2*19 = 38

38 + 10 = 48

48 + 42 = 90

(As this is a 90 degree angle)

What is the value of f(x) when x=3?
0 -3
0-2
0 1
04

Answers

01 is the answer! Hope this help

The value of the function when x=3 is approximately 18.83.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

The function

Now,

we need to substitute x=3 into the function and simplify it. We get:

3(3)−1​+(1+3)2

=8​+16

≈2.83+16

=4

Therefore, by the given function answer will be 4.

Learn more about function here:

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can 8 go into 3? plz answer

Answers

Answer:no

Step-by-step explanation:it would not be possible as 8 is a larger number then 3 unless u would be multiplying by decimals which in which case might be possible

PLEASE HELP ME ANYONE ???????????!!!

Answers

Answer:

A x>9

Step-by-step explanation:

add 4 to both sides and ta da

Answer:

x>9

Step-by-step explanation:

you move the negative 4 to the other side to get it away from x so then you can find the answer.

Hope this helps:)

Aaron currently earns $1,400 per month working. Each year he will get a $150 per month raise. How much money will Aaron earn per month in 7 years?

Answers

the correct answer is 10290000

Answer:

130,200

Step-by-step explanation:

Earnings for 7yrs= $1,400 × 12 months × 7yrs

= $117,600

Raise for 7 yrs= $150 × 12 months × 7yrs

=$ 12,600

Earnings in 7yrs= $117,600 + $12,600

= 130,200

Branliest to correct answer no guessing explain how you got your answer

Answers

Answer:

the answer is 1771! good luck!

Step-by-step explanation:

i attached an image with the steps!

Pls help. Sorry if its blurry​

Answers

Answer:

5 divided by some number.

Step-by-step explanation:

Hope this helps!

Answer:

third option

Step-by-step explanation:

Help please?? Thank you

Answers

Answer:

Isosceles right

Step-by-step explanation:

And isosceles triangle has 2 congruent sides, and since 90° is a right angles, it is a right triangle.

Answer:

isosceles acute I believe, since the two even sides are acute angles, however it could also be right since the top angle is a right angle and therefore the other two equal a right angle sorry if this didn't come in very useful

What is the common denominator for 4/10 and 1/5

Answers

Answer:

10

Step-by-step explanation:

1/5 = 2/10


8 The length of Adriana's chicken coop is 3x + 12 feet. The length of her garden is
6x – 16 feet. The garden is the length of the chicken coop.
What is the length of the chicken coop? Enter the number of feet only.
What is the length of the garden? Enter the number of feet only.

Answers

Answer:

Rounded down to the nearest foot, the length of the garden is nine feet.

Step-by-step explanation:

We're told that the length of the chicken coop, 3x + 12 feet, is equal to the length of the garden, 6x - 16 feet.  Let's put them together then and solve for x:

3x + 12 = 6x - 16

First, we'll subtract 6x from both sides

3x - 6x + 12 = 6x - 6x - 16

-3x + 12 = -16

Now we subtract 12 from both sides:

-3x + 12 - 12 = -16 - 12

-3x = -28

Finally divide both sides by -3

-3x / -3 = -28 / -3

x = 28/3

x = 9 and 1/3

As the question asks for the number of feet only (not inches), the answer is nine feet.

A third of a foot though is four inches, so the more exact answer is nine feet and four inches, or 9'4"

I need help on this asap

Answers

Answer: 13.7ft (1 decimal place)

Step-by-step explanation:

For this question you will have to use Pythagoras theorem.

The formula for the short side is x²=c²-b² and when you put the numbers from this question into it you get x²=15²-6²

15²=225

6²=36

x²=225-36

x²=189

Then, as you want to find x on its own, you would have to square root 189 which is 13.7 (1 decimal place).

Hope this helps :)

What is the equation of the line that is perpendicular to y=-3x+1 that passes through the point (9,0)?
y=1/3x-3
y=-1/3x+3
y=3x+9
y=-3x+3

Answers

Answer:

Step-by-step explanation:

the correct answer of the question is y=x/3-3 b.c

m1.m2 = -1 But m1=-3

so -3.m2=-1

-3.m2/-3=-1/-3

m2=1/3 therefore

Y=1/3x-3

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