Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last year, Mona Header failed the test, but claimed that this was due to the early hour. (The fitness test is traditionally given at 5 AM on a Sunday morning.) In fact, a study by the ESU Physical Education Department suggested that 46% of athletes fit enough to play on the team would fail the soccer test, although no unfit athlete could possibly pass the test. It also estimated that 37% of the athletes who take the test are fit enough to play soccer. Assuming these estimates are correct, what is the probability that Mona was justifiably dropped

Answers

Answer 1

Using conditional probability, it is found that there is a 0.7873 = 78.73% probability that Mona was justifiably dropped.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Fail the test.Event B: Unfit.

The probability of failing the test is composed by:

46% of 37%(are fit).100% of 63%(not fit).

Hence:

[tex]P(A) = 0.46(0.37) + 0.63 = 0.8002[/tex]

The probability of both failing the test and being unfit is:

[tex]P(A \cap B) = 0.63[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.63}{0.8002} = 0.7873[/tex]

0.7873 = 78.73% probability that Mona was justifiably dropped.

A similar problem is given at https://brainly.com/question/14398287


Related Questions

Thirty students were sent home for a week with a video game to play. Some were sent home with video game A, others with game B. The number of hours they spent playing the game is recorded below. Which game has a higher median number of hours, and how much higher is it than the median number of hours for the other game

Answers

Answer:

U never showed the thing below.

Step-by-step explanation:

Matrix fractions 1/2+2/6. I don't understand the steps in this.​

Answers

Answer: 5/6

Step-by-step explanation:

You have to multiply the denominator and numerator by 3 to get the same denominato. Then you ONLY add the numerator. 3/6 + 2/6 = 5/6.

th
The Buffaloes scored 20 pointo the first part of the game. The Buffaloes total score at
the end of the game was 35 points.
What is the approximate percentage of the points scored during second part of the
game?
A
15%
43%
C.
57%
D
85%

Answers

The approximate percentage of the points scored during the second part of the  game is 43%

Given the total score at the second part of the game  = 35 points

Score at the first part of the game = 20 points

Amount of score during the second part of the game  = 35  = 20 = 15 points

% score in the second part  = 15/35 * 100

% score in the second part  = 1500/35

% score in the second part = 42.85 ≈ 43%

Hence the approximate percentage of the points scored during the second part of the  game is 43%

Learn more on percentage here: https://brainly.com/question/2236179

what is the midrange

Answers

Answer:

Midrange Formula. Midrange in layman terms is the middle of any data set or the simply the average, mean of the data. A midrange is a statistical tool which is also known as the measure of center in statistics. Along with the existence of the midrange formula means, medium, average, mode, and range are also known as the measure of central tendency.

Step-by-step explanation:

HELP ME I WILL GIVE POINTS

Answers

Answer:

1. 32

3. -11

Step-by-step explanation:

(To meet character limit)

Answer:

1.) 35

2.) -20

Step-by-step explanation:

Use the quadratic formula to find both solutions to the quadratic equation given below. Check all that apply. 2x2 – 3x + 1 = 0​

Answers

Answer:

5/4 and 7/4 are the two solutions.

A suit was marked with a 20% discount.
If the discount is $26.00, what was the original price of the suit?

Answers

Answer:

130

Step-by-step explanation:

find 66 2/3 of 900


27 1/2% of 1200


17 1/2% of 1000

33 1/2% of 600​

Answers

9514 1404 393

Answer:

600330175201 (as written) 200 (if it should be 33 1/3%)

Step-by-step explanation:

The easiest way to do these is to make use of your knowledge of the decimal equivalents of fractions and percentages.

  66 2/3% of 900 = 2/3 × 900 = 600

  27 1/2% of 1200 = 0.275 × 1200 = 330

  17 1/2% of 1000 = 0.175 × 1000 = 175 . . . . move the decimal point

  33 1/3% of 600 = 1/3 × 600 = 200

     or 33 1/2% of 600 = 0.335 × 600 = 201

_____

Additional comment

The repeating decimal for 1/3 is 0.33333.... As a percentage, that is 33 1/3%. Then 2/3 = 66 2/3%.

To change a percentage to a decimal, divide it by 100%.

  17.5% = (17.5%)/(100%) = 17.5/100 = 0.175

__

The product 0.275 × 1200 can be rewritten as ...

  0.275 × 1200 = 0.275 × 1000 × 1.2 = 275 ×1.2 = 275 + 0.2×275

  = 275 +55 = 330

This is a calculation you can do in your head.

__

We suspect a couple of typos in your question. If you mean 66 2/3, not 66 2/3%, then multiply the first answer by 100 to get 60,000.

We have shown answers for both 33 1/2% as your problem says, and 33 1/3%, which would be the more usual fraction.

3plss help...................................

Answers

wheres the question?

g What are the dimensions that will maximize the area of the window if you have 20 ft total for the perimeter of the window

Answers

Not sure m8 but u gave me some points


Answer: 69 + 2 =







696968

In one week, a computer shop sold 13 laptop computers and
7 desktop computers. What was the ratio of laptop computers to all
computers that were sold in the week? Describe the ratio using words.

Answers

Answer:

13:7

Step-by-step explanation:

This ratio would be 13 laptop computers for every 7 desktop computers; 13:7

Brainliest if correct 

Answers

Answer:

a b

They both are a type of currency from different countries in order to purchase things

If x = 5-2√6, find the value of:
(i) x + 1/x
(ii) x² + 1/x²
Please solve ASAP​

Answers

Answer:

x+(1/x) = 10 and x²+ (1/x²) = 98

Step-by-step explanation:

Given that :

x = 5-2√6

1/x = 1/(5-2√6)

The denominator = 5-2√6

The Rationalising factor of 5-2√6 = 5+2√6

On Rationalising the denominator then

⇛ 1/x = [1/(5-2√6)]×[(5+2√6)/5+2√6)]

⇛ 1/x = (5+2√6)/[5-2√6)(5+2√6)]

⇛ 1/x = (5+2√6)/[5²-(2√6)²]

Since (a+b)(a-b) = a²-b²

Where ,

a = 5 and b = 2√6

⇛1/x = (5+2√6)/(25-24)

⇛ 1/x = (5+2√6)/1

⇛ 1/x = 5+2√6

Now,

x +(1/x)

⇛ 5-2√6+5+2√6

⇛ 5+5

⇛ 10

Therefore, x+(1/x) = 10.

On squaring both sides then

⇛ [x+(1/x)]² = 10²

⇛ x²+2(x)(1/x)+(1/x)² =100

⇛ x²+2+(1/x)² = 100

⇛ x²+(1/x²) = 100-2

⇛ x²+(1/x²) = 98

Therefore, x²+(1/x²) = 98.

Read more:

Similar questions;

Check all that apply. 2(x + 2) + 2 = 2(x + 3) + 1 2x + 3(x + 5) = 5(x – 3) 4(x + 3) = x + 12 4 – (2x + 5) = 1/2 (–4x – 2) 5(x + 4) – x = 4(x + 5) – 1.....

https://brainly.com/question/24697983?referrer

Hello Please help me.

Answers

Answer:

Step-by-step explanation:

1) D

2) B

3) no solution

y ≤ 0.5x - 4 is area C including the red line

y ≥ 0.5x + 5 is area A including the blue line

2+5(8-5)
Is it 17 or 21 cause me in my sister having a full blown argument right now

Answers

The answer is seven- teen 17

Answer:

The answer is seventeen (17)

help pls home work home qork​

Answers

Answer:

the answer is this sign >. it means the answer on the left is greater than the one on the right

What is revolving credit?
A. Credit that provides a set amount of money for a specific purpose
B. Credit that is automatically renewed as debts are paid
C. Credit that requires users to pay a high interest rate
D. Credit that is issued by a financial institution other than a bank

Answers

Answer:

B. Credit that is automatically renewed as debts are paid

Hope this helps :)

: The cost of 30 sandwiche rolls at $1.50 per dozen is a. $3.00 b. $3.45 c. $3.75 d. $4.50 e. $4.80

Answers

Step-by-step explanation:

their are total 12 sandwiche rolls in a dozen so,

price of 12 sandwiche rolls are $1.50

so, cost of 1 sandwich roll = 1.50/12 = $0.125

now,

cost of 30 sandwich rolls = 30 × 0.125 = $3.75

therefore, option C is correct.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

25-5x=15-2x+10-3x
What does x = and does it have one solution or infinite or no solution

Answers

Answer:

Infininte, Any number

Step-by-step explanation:

Simplify:

25 - 5x = 25 - 5x

left parenthesis negative 2 minus 4 right parenthesis plus left parenthesis 5 minus 10 right parenthesis minus 6 left parenthesis 3 right parenthesis

Answers

Answer:-29

Step-by-step explanation:

(-2-4)+(5-10)-6(3)

-6+-5-18

1.What is m + 5n where m = 1 and n = 5?
A. 26
B. 52
C. 25
D. 62
ANSWER:____

2.What is 5m + 5n where m = 10 and n = -5?
A. 25
B. 26
C 62
D. 52
ANSWER:____

ADD EXPLANATION IF NECESSARY :)​

Answers

Answer:

Answer# 1: A. 26

Answer# 2: A. 25

Step-by-step explanation:

1. What is m + 5n where m = 1 and n = 5?

Substitute 1 for "m" and 5 for "n":

[tex]\sf (1)+5(5)[/tex]

Multiply 5*5 =25

[tex](1)+25[/tex]

Add :

[tex]\sf 26[/tex]

____________________

2. What is 5m + 5n where m = 10 and n = -5?

Substitute 10 for "m" and -5 for "n".

[tex]\sf 5\left(10\right)\:+\:5\left(-5\right)[/tex]

Multiply 5 * 10= 50

[tex]\sf 50+5\left(-5\right)[/tex]

Multiply 5 * -5 = -25

[tex]\sf 50-25[/tex]

Subtract:

[tex]\sf 25[/tex]

___________________________________

Megan opened a savings account with a $500 deposit. The account pays 1.25% simple interest each year. If she neither adds nor withdraws money from the account, how much interest will she earn after 3 years? help​

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 1.25\%\to \frac{1.25}{100}\dotfill &0.0125\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (500)(0.0125)(3)\implies \boxed{I = 18.75}[/tex]

which ordered pair would be plotted in quadrant 3

Answers

Answer:

(-5,-9)

Step-by-step explanation:

What is three times a number is increased by 11 ,the result is 32

Answers

Answer:

7

Step-by-step explanation:

let x be the number

3x + 11 = 32

3x = 21............subtract both sides by 11

x = 7................divide both sides by 3

Answer:

Expression-

3×r+11=32

r=7

Step-by-step explanation:

I have run this answer the calculator a million times so trust me on this one

Proxima Centauri, our nearest star except for the sun, is about 4·1013 km from Earth. Find to one decimal place its distance in parsecs.

Answers

Step-by-step explanation:

The conversion for parsecs into meters is

1 parsec (pc) = [tex]3.09×10^{16}\:\text {m}[/tex]

So if Proxima Centauri is [tex]4×10^{13}\:\text{m}[/tex] away, then in terms of parsecs, this distance is

[tex]4×10^{13}\:\text{m}×\left(\dfrac{1\:\text{parsec}}{3.09×10^{16}\:\text{m}}\right)[/tex]

[tex]\;\;\;\;\;= 1.2×10^{-3}\:\text{parsec}[/tex]

mega movies hotel a fil premiere on Friday night. they charged $7 for adults and $5 for children. One hundred twenty-three adults and children attended, and $829 was made in ticket sales. How many children and how many adults went to the film premiere?

Answers

Answer:

107 adults 16 children

Step-by-step explanation:

can i get brainlest

A jogger ran 13.5 miles in 3 hours.

What is the unit rate?

Answers

Answer:

Unit rate = 4.5 mph.

Step-by-step explanation:

Unit rate: 13.5/3

=> Unit rate: 4.5 mph.

Hoped this helped.

y=7x+7 standard form

Answers

Answer:

7x - y = -7

Step-by-step explanation:

Hope this helps!

Converting from the US customary system to the metric system, 16 fluid ounces is approximately equal to a) 1 gallon. O b) 160 milliliters. c) 480 milliliters. O d) 960 milliliters.

Answers

Answer:

1 oz = 29.574 ml

16 oz = About 480 ml, so, yes, the answer is C.

Step-by-step explanation:

During a hurricane in Central Florida, the amount of rainfall R, in centimeters, is a function of time. Let R = f(t) define the amount of rain recorded by meteorologists beginning at midnight. Give an interpretation of the statements below, using the appropriate units.

A. (6) = 4.8

B. f'(6)=0.5

C. f(-1)(5) = 14

D. f(-1)'(5) = 1.5

Answers

The amount of rainfall is an illustration of inverse functions, and rates.

The function is given as: R = f(t)

(a) Interpret f(6) = 4.8

This means that:

The amount of rainfall at 6 seconds is 4.8 cm

(b) Interpret f'(6) = 0.5

f'(6) represents the rate of the function

So, this means that:

The rate at which rain falls at 6 seconds is 0.5 cm per second

(c) Interpret f^-1(5) = 14

f^-1(6) represents the inverse function

So, this means that:

The time at which 5 cm of rain falls, is 14 seconds

(d) Interpret f^-1'(5) = 1.5

f^-1'(5) represents the rate of the inverse function

So, this means that:

The rate of time when 5 cm of rain falls is 1.5 seconds per cm

Read more about functions, inverse and rates at:

https://brainly.com/question/15634149

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