Lin Ying belongs to an athletic club. In 800 m races her times are normally distributed with mean 128 seconds and standard deviation
4 seconds.
(a) What is the probability of her time in an 800 being between 120 and 130 seconds?
(b) What time will she beat in 70% of her races?
Julie belongs to the same club. In 800 m races 85% of her times are less than 140 seconds and 70% are less than 135 seconds. Her times are normally distributed.
(c) Find the mean and standard deviation of Julie's times, each correct to two significant figures.
(d) What is the probability that in an 800 m race Lin Ying will beat Julie?
(e) The club has to choose one of these two athletes to enter a major competition. In order to qualify for the final rounds it is necessary to achieve a time of 114 seconds or less in the heats. Which athlete should be chosen and why?

Answers

Answer 1

Answer:

Nine of the times for the first race were at least 16 seconds

Step-by-step explanation:

Here we have from the scatter plot, the times are given as

Time               Frequency

19                          2

18                          2

17                          2

16                          3

15                          1

Therefore, total number of times that are above 16 seconds in the first race is

3 + 2 + 2 + 2 = 9

Therefore, the first option is correct

Answer 2

Answer:

Step-by-step explanation:

The answer is below. Plesetake a look and it will help you


Related Questions

add the following algebraic expressions by vertical arrangement method​

Answers

Answer:

9x + 2y

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

7x - 3y + 2x + 5y

Step 2: Simplify

Combine like terms (x):                    9x - 3y + 5yCombine like terms (y):                    9x + 2y

Nine children on the swim team dont like ice cream if this represents 18% of children on the swim team how many children are on the swim team

Answers

Answer:

Um.. Im not sure about this one.. you're in college?

Step-by-step explanation:

Answer:

50 children in total

Step-by-step explanation:

question is really asking this:  9 is 18% of what number

9 = .18x

9/.18 = 50

When F(x) = 9x^2 + 6,
evaluate f(-4)

Answers

Answer:

150

Step-by-step explanation:

Steps below in pic

12.3 + 17.8 - ( 3.3 x 2 )​

Answers

The answer to this problem is 23.5 . You are going to start by multiplying whats inside the paranthesis’s and then you’re going to calulate the sum and then difference and you should be left with 23.5

Answer:

23.5

Step-by-step explanation:

12.3 + 17.8 - ( 3.3 x 2 )

12.3 + 17.8 - ( 6.6 )

30.1 - 6.6

23.5

Someone help me
6 cm
22 cm
14 cm

Answers

I believe the answer is SA = 1048cm^2

A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent solve step by step​

Answers

Given,

CP of cosmetics = Rs 360 per dozen

SP of a pair of cosmetics = Rs 80

We need to find the profit percentage.

Solution,

We know that,

1 dozen = 12 items

CP of 1 cosmetic = 360/12 = Rs 30

SP of 1 cosmetic = 80/2 = Rs 40

Profit = SP-CP

= Rs 40 - Rs 30

= Rs 10

Profit percentage is given by :

[tex]\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%[/tex]

So, the profit percentage is 33.34%.

Can sombody plz help I will make them brainless or something like that plz help

Answers

Answer:

27.5=2n OR 2n=27.5

Step-by-step explanation:

plug it in :)

1.15 x 10 negative 5 power

Answers

115,000 Hope this helps!

Whoever answers gets brainlist!

Answers

Answer:

The answer would be A) 25

Step-by-step explanation:

Subtract 420 by 45 which is 375. The you just Divide 375 by 15 which is 25

Hope this helps! :)

Tell me if i am right or wrong!

Answer:

25

Step-by-step explanation:

because 420-45= 375÷15=25

2) You purchase a car using a $23,000 loan with a 4% simple interest rate. Suppose you pay the loan off after 5
years. How much interest do you pay on your loan? Please show your math work and don't forget the unit!
(Calculator is allowed but please write down the numbers that you enter into your calculator).

Answers

60 is the answer to this question
The answer will be 60 hun. Hope this helps

8n^2-17


I NEED AN ANSWER

Answers

Answer: 37

Step-by-step explanation:

Ted has scored 90 points in the first 5 games of the season. How many points per game has he scored?

Answers

Answer:

18

Step-by-step explanation:

Divide 90 by 5

What were some estimation strategies you used to keep yourself within the budget?

Answers

I always make sure to stay on track with my money. I check my bank account frequently to make sure nothing is going on that isn’t me. I also set aside money in a checking account for bills!

Have a merry Christmas!

I'm not quite 'out there in the real world' but whenever I'm limited on money and whatnot, instead of trying to go ahead and add it all up by the exact price I'll round it up to the nearest dollar. Sometimes I'll even round it up two dollars. If it's something like '$25.98', I'll figure $27.00. That always helps me not spend as much.

Making a list and strictly following the list helps as well. I wouldn't try to spend money on things unessential, or things that you really don't have the money for.

sixteen less than 3 times a number is seventeen.

Answers

Answer:

the number is 11

Step-by-step explanation:

3x-16=17

3x=33

x=11

At a dinner, the meal cost $22 and a sales tax of $2.09 was added to the bill. What is the tax rate for meals in this city?

Answers

Answer:

24.09 am I smart or what lol

Step-by-step explanation:

22 +2.09

PLEASE HELP I WILL GIVE BRAINLIEST AND MAX POINTS


Select the statement that describes the end behavior of the function

A. As x approaches negative infinity, the function approaches positive infinity

B. As x approaches negative infinity, the function approaches negative infinity

C. As x approaches positive infinity the function approaches negative infinity

D. As x approaches positive infinity, the function approaches 0

Answers

Answer:

C

Step-by-step explanation:

when x is negitive, y has an asitope of 0 so not a

when x is negitive, y has an asitope of 0 so not b

when x is positive, y does keep going down so c

when x is positive, y does keep going down and doesn't seem to be approching 0 so not d

Maryse bought a jacket from the store for $90.95. Shepaid a 7% sales tax when she bought the jacket. How Much was the jacket before the sales tax?

Answers

At least I’m guessing 60 bucks before the sales tax!

Not troll! Please help, will give brainliest! Explain your answer and how you got it.
Evaluate the expression 34 + 4/9w and w = - 1/2

Answers

Answer:

304/9 as fraction

33.7 decimal

I cannot say steps i apologize.

Step-by-step explanation:

All 27 students in Joe’s class bought the same items. The expression below shows the total spent by ALL 27 students:
27(2p + 4e + 10p + 20)
a) What property can be used to simplify the expression:

______________________________________________________________________
______________________________________________________________________
b) Simplify the expression:

Answers

Answer:

I will give you the explanation, figure out the answer.

Step-by-step explanation:

For this expression, you need to distribute 27 into the expression inside the parantheses.

Distributing will look like this:

(27 x 2p) + (27 x 4e) + (27 x 10p) + (27 x 20)

Now to get the simplified version of this expression, you just need to multiply and combine like terms!

Wilma is tiling her bathroom with tiles that measure 1 foot along each side. The bathroom is 15 feet long and 10 feet wide. She can lay 30 tiles per hour. Which of the following can be used to find the total number of hours it will take Wilma to cover the floor with tiles?

Answers

Answer:

(15 * 10) / 30 = x

Step-by-step explanation:

Since each tile is 1 foot on each side this means that each tile will cover 1 square foot (1ft * 1ft = 1sq. ft.). We would now need to find the square footage of the bathroom by multiplying the bathroom length by its width. Then we can divide that square footage by 30 tiles per hour to find out how long it will take to cover the floor with tiles.

(15 * 10) / 30 = x

150 / 30 = x

5 hours = x

Finally, we can see that at a pace of 30 tiles per hour, Wilma will be able to finish tiling her bathroom in 5 hours.

I do not know how to solve this problem

Answers

Answer:

First you have to take a sleep

Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each die lands on each of its faces equally often. We consider the outcomes of this experiment to be the ordered pairs of numbers on the dice, and the events of interest to be the different sums. (a) How many outcomes does this experiment have

Answers

Answer:

36

Step-by-step explanation:

Given that:

2 standard six sided dice are rolled :

Die 1 = 1, 2, 3, 4, 5, 6

Die 2 = 1, 2, 3, 4, 5, 6

Outcome = ordered pair of Number on the two dice

Event = different sum of the ordered pair of numbers.

The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies

= 6^2

= 36 different outcomes

7. Are the ordered pairs below an arithmetic sequence or geometric
sequence?
(1,55)
(2, 45)
(3, 35)
(4, 25)


8. Using the formula: f(n) = f(1) + d(n-1), find f(9) for the ordered pairs
in #7.

Answers

Answer:

8. Arithmetic Progression

9. [tex]f(9) = 300[/tex]

Step-by-step explanation:

Given

[tex]\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}[/tex]

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

[tex]d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3[/tex]

This gives:

[tex]d = 45 - 55 = 35 - 45 = 25 - 35[/tex]

[tex]d = -10 = -10 = -10[/tex]

[tex]d=-10[/tex]

Because the common difference is equal, then it is an arithmetic progression

Solving (8):

[tex]f(n) = f(1) + f(n-1)[/tex]

To find f(9), we substitute 9 for n

[tex]f(9) = f(1) + f(9-1)[/tex]

[tex]f(9) = f(1) + f(8)[/tex]

We need to solve for f(8); substitute 8 for n

[tex]f(8) = f(1) + f(8 - 1)[/tex]

[tex]f(8) = f(1) + f(7)[/tex]

We need to solve for f(7); substitute 7 for n

[tex]f(7) = f(1) + f(7 - 1)[/tex]

[tex]f(7) = f(1) + f(6)[/tex]

We need to solve for f(6); substitute 6 for n

[tex]f(6) = f(1) + f(6 - 1)[/tex]

[tex]f(6) = f(1) + f(5)[/tex]

We need to solve for f(5); substitute 6 for n

[tex]f(5) = f(1) + f(5 - 1)[/tex]

[tex]f(5) = f(1) + f(4)[/tex]

From the function, f(4) = 25 and f(1) = 55.

So:

[tex]f(5)=55 + 25[/tex]

[tex]f(5)=80[/tex]

[tex]f(6) = f(1) + f(5)[/tex]

[tex]f(6) = 55 + 80[/tex]

[tex]f(6) = 135[/tex]

[tex]f(7) = f(1) + f(6)[/tex]

[tex]f(7) = 55 + 135[/tex]

[tex]f(7) = 190[/tex]

[tex]f(8) = f(1) + f(7)[/tex]

[tex]f(8) = 55 + 190[/tex]

[tex]f(8) = 245[/tex]

[tex]f(9) = f(1) + f(8)[/tex]

[tex]f(9) = 55 + 245[/tex]

[tex]f(9) = 300[/tex]

100 pts..[tex]ANSWER this question for your God's sake PLZ..[/tex]

Answers

Answer:

Step-by-step explanation:

a) [tex]5y+ab[/tex]

b) [tex]f^{3} -3\\[/tex]

c) [tex]6kq[/tex]

d) [tex]\frac{3xy}{2w} \\\\[/tex]

e) [tex]3x-4\sqrt{z} \\[/tex]

f) [tex]\frac{2p}{5q} \\\\[/tex]

[tex]a) 5y+ab5y+ab

b) \begin{gathered}f^{3} -3\\\end{gathered}

f

3

−3

c) 6kq6kq

d) \begin{gathered}\frac{3xy}{2w} \\\\\end{gathered}

2w

3xy

e) \begin{gathered}3x-4\sqrt{z} \\\end{gathered}

3x−4

z

f) \begin{gathered}\frac{2p}{5q} \\\\\end{gathered}

5q

2p

[/tex]

Graph the solution to the following system of inequalities in the coordinate plane.
y>1/4x+6
y>2x-1

Answers

Answer:

The solution is any point in the common part of red and blue

The two lines intersect each other at (4 , 7)

Step-by-step explanation:

∵ y > 1/4 x + 6 ⇒ y = 1/4 x + 6

∵ y > 2x - 1 ⇒ y = 2x - 1

∴ 2x - 1 = 1/4 x + 6

∴ 2x - 1/4 x = 6 + 1

∴ 7/4 x = 7 ⇒ x = 7 ÷ 7/4

∴ x = 4

∴ y = 2(4) - 1 = 7

∴ The two lines intersect each other at (4 , 7)

∴ The solution is any point in the common part of red and blue

Jonathan is deciding between two truck rental companies. Company A
charges an initial fee of go for the rental plus $1 per mile driven
Company B charges an initial fee of $10 for the rental plus $1.50 per
mile driven. Let A represent the amount Company A would charge if
Jonathan drives s miles, and let B represent the amount Company B
would charge if Jonathan drives s miles, Graph each function and
determine which company would be cheaper if Jonathan needs to
drive 60 miles with the rented truck,

Answers

Answer:

Jonathan is deciding between two truck rental companies. Company A

charges an initial fee of go for the rental plus $1 per mile driven

Company B charges an initial fee of $10 for the rental plus $1.50 per

mile driven. Let A represent the amount Company A would charge if

Jonathan drives s miles, and let B represent the amount Company B

would charge if Jonathan drives s miles, Graph each function and

determine which company would be cheaper if Jonathan needs to

drive 60 miles with the rented truck,

On Saturday, many tickets for a hockey game were sold. Children and adult tickets were sold in the ratio of 4:7. There are 88 tickets in total.

How many adult tickets were sold?

Answers

Answer:

49 tickets

Step-by-step explanation:

THis is pretty straight forward

So we have the ratio 4:7

We know there were 88 tickets in total but we don’t know the exact amount of adult and kids

So we can Add up the ratio

4+7=11

Now we can divide 88 by 11

you’ll get 7

So by doing this we know there are 7 groups of the ratio for child to adults 4:7

So we just multiply the 7 to each

4*7

7*7

you’ll get 28:49

Now we know there are 28 kid tickets and 49 adult tickets

We know this is correct becuase if you add up the ratio, it’ll be 88

Which is the same as the amount fo people at the hockey game

g Suppose you work for a publishing company and before launching a new magazine targeting fashion-oriented consumers, your boss wants to hold a meeting with perspective advertisers. Assume that annual expenditures on magazine ads in this genre are normally distributed with a mean of $316,532 and a standard deviation of $45,635. If the publisher wants to exclude companies with the smallest 2.74% in terms of annual expenditures on magazine ads from the sales meeting, what is the approximate minimum annual expenditure on magazine ads an advertiser would be required to have so that advertiser would be invited to the meeting

Answers

Answer:

X  ≈ 228913 $

Step-by-step explanation:

The standard score z is:

z  =  ( X- μ ) /σ        (1)

Now  z (score ) for 2,74 % is:

2,74 %  is  0,0274  and from z table  z (score) = - 1,92

By subtitution in equation 1

-1,92  =  ( X -  316532 ) / 45635

- 87619,20 + 316532  = X

X  ≈ 228913 $

What is the measure of angle A in the triangle?

Answers

Answer:

Angle A = 50°

Step-by-step explanation:

(2x - 10) + (x + 30) + 70 = 180

3x = 180 + 10 - 30 - 70

3x = 90

x = 90/3

x = 30

A = 2x -10

A = (2 * 30) - 10

A = 60 - 10

A = 50

What is 1/2x1/2 in fractions?

Answers

I think it is 2/4 but I might be wrong

The requried multiplication of 1/2 and 1/2 is equal to 1/4. This means that if you divide a whole into 4 equal parts and then take one of those parts.

To multiply fractions, you simply multiply the numerators together and the denominators together.

The multiplication of 1/2 and 1/2 is calculated as follows:

(1/2) * (1/2) = (1 * 1) / (2 * 2)
                = 1 / 4

Therefore, the multiplication of 1/2 and 1/2 is equal to 1/4. This means that if you divide a whole into 4 equal parts and then take one of those parts, it's equivalent to multiplying 1/2 by 1/2.

Learn more about multiplication here:

https://brainly.com/question/30942629

#SPJ6

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