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

i really need help on my question!

Answers

Answer:

your answer is C

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

It is asking how many people have MORE than two fish. Not two fish.

15 + 3 + 2 = 20

1. Leonardo da Vinci asserted that a person's height is proportional to the length of the
person's palm. Don's palm is 5 centimeters in length and he is 120 centimeters tall. Mateo's
palm is 7.5 centimeters in length. Assuming that da Vinci's theory is correct, how tall, in
centimeters, is Mateo?

Answers

Answer:

120 : 5 = 24 suy ra 24 x 7,5 = 180

Step-by-step explanation:

you have a goal to sell 100 tickets to a school pizza party if you only completed 50 percent of your goal , did you sell more or fewer than 100 tickets ?

Answers

Answer:

you sold fewer than 100 tickets. you only sold 50 tickets out of your 100 ticket goal.

HELLPPPPPP PLEASEEEE!!!!!!!!!!!!!!!

Answers

Answer:

D: Both the slopes and the y-intercepts are the same.

Answer:

its the same

Step-by-step explanation:

the slope is -2 and the y-intercept is (0,3)

PLEASE HELP MY SISTER NEEDS IT OMG [Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• 1.5 above sea level
• absolute value of –4.5
• –2
• opposite of 4
• absolute value of 1
• 2.5 below sea level
• greatest common factor of 8 and 12
• –(–3)
• -3 1/2
• opposite of –5

Answers

Answer:

The answer for this question would be 1.5 goes to the top of 1. Absoute value of -4.5 goes to the bottem of -4 . -2 goes on the -2 point . oppsite of 4 is -4.

Absoulte value of 1 is 1. 2.5 below sea level is under 2. Greatest common factor of 8 and 12 is 4. -(-3) is 3. Opposite of -5 is 5.

Step-by-step explanation:

Answer:

points:

1.5

4.5

-2

-4

1

-2.5

4

3

-3.5

5

Step-by-step explanation:

ANSWER PLEASE!!! I WILL GIVE BRAINLIEST
NO BOTS OR WEBSITE LINKS

Answers

Answer:

San Francisco

Step-by-step explanation:

The cost per mile in San Francisco is 0.45 per mile, whereas it is 0.40 in New York

2 < 3 < 5
True
False

Answers

Answer:

The answer is true.

Step-by-step explanation:

1.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

f(x) = (3x + 2)(−6x − 3)

A. linear function; linear term: −18x2; constant term: −6

B. quadratic function; quadratic term: 6x2; linear term: 24x; constant term: −6

C. linear function; linear term: −21x; constant term: −6

D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Answers

Answer:

D

Step-by-step explanation:

Got it right on test

Answer: The answer is letter B or letter D

D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Step-by-step explanation:  Find the degree of the function to determine if linear.  f ( x ) =  − 18 x 2 − 21 x − 6  is not a linear function

Expand the polynomial using the FOIL method.  f ( x ) =  − 18 x 2 − 21 x − 6

It’s for pre college

Answers

Answer:

Step-by-step explanation:

y = mx + b for line through (7, 4) and perpendicular to -5x + 9y = - 71

perpendicular lines have negative reciprocal slopes

-5x + 9y = - 71

9y = 5x - 71

y = (5/9)x - 71/9

so a perpendicular line will have slope -9/5

y = (-9/5)x + b

plug in our desired point

4 = (-9/5)7 + b

4 = -63/5 + b

20/5 = -63/5 + b

b = 83/5

y = (-9/5)x + 83/5

5y = -9x + 83

Definition of living being ​

Answers

(Biology) the state or quality that distinguishes living beings or organisms from dead ones and from inorganic matter, characterized chiefly by metabolism, growth, and the ability to reproduce and respond to stimuli.

The points in the table lie on a line. Find the slope of the line

Answers

Answer: Slope formula: m = y2 - y1/ x2 - x1

2 - (-2)/ 1 - 0

2 + 2/1

4/1

Slope = 4

Would appreciate brainly <3

what is 2x3y if x = -2y =4

Answers

Answer:

-48

Step-by-step explanation:

2x3y

\/

2(-2) * 3(4)

\/

-4 * 12

\/

-48

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer: -48

Step-by-step explanation:

2(-2)3(4) = -4*12 = -48

Write 12.325 as a mixed number. quick I need help

Answers

Answer:

493/40

i tried my best on it

Answer:

493 /40

Step-by-step explanation:

(12.325 × 100) /  (1 × 1000)  =  

=12325/ 1000

What are the zeros of the function shown in the graph

Answers

Answer:

(-4, 0), (0, 0) and (2, 0)

Step-by-step explanation:

Zero's of the function are the points of intersection of the graph with the x-axis.

From the picture we see zeros:

(-4, 0), (0, 0) and (2, 0)
The zeros of the function are the x intercepts on graph .Let's see the x intercepts

(-4,0)(0,0)(2,0)

Zeros are

[tex]\\ \sf\longmapsto (-4,0)U(0,0)U(2,0)[/tex]

The height of a door is 1.6 feet longer than its width, and its front area is 1489.3 square feet. Find the width and height of the door

Answers

Answer:

The width of the door to be 39.10 ft, and the height to be 40.7 feet.

The radius of a cirdle is (x+ 4)cm. Find the area of the circle in
terms of the variable x Leave the answer in term of π

Answers

Answer:

50.24 cm

Step-by-step explanation:

50.24 cm

2

Explanation:

Using the formula,

Area

=

π

×

r

2

Here

π

is a button on your calculator you can find, but is also generally known as  

3.14

, you can use either one, but teachers usually prefer you use the  

π

button.

r

=

the radius, in your case, it's  

4 cm

So

Area

=

π

×

r

2

=

π

×

(

4 cm

)

2

=

16

π

 

cm

2

50.24 cm

2

The school football team is hosting a fundraiser dinner. Tickets are $20 for adults, $15 for seniors, and $6 for children. The expression 20a + 15s + 6c represents the total sales for a adult, s senior tickets, and c child tickets. Mariel sold 6 adult, 4 senior, and 8 child tickets.

20a + 15s + 6c = 20 (6) + 15 (4) + 6 (8) = ? + ? + ?

Answers

20(6) + 15(4) + 6(8)
120 + 60 + 48
228

A rectangular garden to contain 3 length segments and 4 width segments. The total amount of fencing required is 24 meters. What is the maximum possible area

Answers

Answer:

12 meters sq

Step-by-step explanation:

area= length x width

area= 3x4

area=12 meters sq

có 100 công nhân sản xuất trong một ngày được 1200 đợn vị sản phẩm với tổng chi phí là 2400 USD

Answers

Answer:

4 better inbox

Step-by-step explanation:

what is the solution set for this inequality?
-6x + 30 < -18
□ x > -2
□ x < 8
□ x > 8
□ x < -2
pls answer​

Answers

Answer:

x > 8

Step-by-step explanation:

= > -6x + 30 < - 18

= > 30 + 18 < 6x

= > 48 < 6x

= > x > 48/6

= > x > 8...ans

Hope it Helps you!!

Which of the following equations have infinitely many solutions?
Choose all answers that apply:
a.-46x+23=46x+23
b.46x-23=46x+23
c.46x+23=46x+23
d.-46x-23=46x+23​

Answers

Hola cómo estás estás cómo estás estás bien y ha dado la vuelta a las dos a las puertas de la

You are studying a population of geese in which there are two color phases, brown and gray. Color in this species is controlled by a single gene, with brown dominant to gray. A random sample of 250 geese shows that 210 are brown. What percentage of the brown geese are heterozygous

Answers

Based on the information given the percentage of the brown geese that are heterozygous is 48%.

Random sample = 250

Brown color = 210

Gray color = 250 - 210 = 40

First step is to calculate the proportion of a alleles in the population

Proportion (a alleles)=√40/250

Proportion (a alleles)= √0.16

Proportion (a alleles)= 0.4

Second step is to calculate the proportion of A alleles in the population

p(A) = 1 - 0.4

p(A)= 0.6

Third step is to calculate brown heterozygous percentage using this formula

Brown heterozygous percentage=2pq(Aa)

Let plug in the formula

Brown heterozygous percentage= 2 x 0.6 x 0.4

Brown heterozygous percentage= 0.48 ×100

Brown heterozygous percentage= 48%

Inconclusion  the percentage of the brown geese that are heterozygous is 48%.

Learn more here:https://brainly.com/question/2632209

Choose the correct answer to 97 ÷ 4.
24 R1
24
23 R5
24 R3

Answers

Answer:

24 R1

Step-by-step explanation:

   

24R1 is the answer. H

Helpppppppppppppppppppppppp

Answers

i’d say 21 and -1 :)
21 * -1 = -21
21 - 1 = 20

[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]

convert into Improper fraction
4 3/4

Answers

Answer:

Improper fraction = 19/3

Step-by-step explanation:

To convert to improper fraction;

1.) multiply the denominator with the whole number,

2.) then add the number you got with the numerator (this will be you new numerator)

3.) keep the denominator the same for the new fraction

Hope this helps!

Hello!

--------------------------------------------------------------------------------------------------------------

4 3/4

First, we multiply the whole number by the denominator:

16

Then, we add the numerator:

19

19 is the numerator for our fraction.

Now, the denominator stays the same:

[tex]\frac{19}{4}[/tex] is our answer. Hope it helps you!

~SparklingFlower

--------------------------------------------------------------------------------------------------------------

select all expressions that are not equivalent to 12(12r + 12) - 6(2r - 3r + 8)

Answers

What are the choices of expressions?

Waiting times to receive food after placing an order at the local Subway sandwich shop follow an exponential distribution with a mean of 66 seconds. Calculate the probability a customer waits:a. Less than 39 seconds.

Answers

Using the exponential distribution, it is found that there is a 0.4462 = 44.62% probability that a customer waits less than 39 seconds.

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

In this problem, mean of 66 seconds, hence, the decay parameter is:

[tex]\mu = \frac{1}{66}[/tex]

The probability that a customer waits less than 39 seconds is:

[tex]P(X \leq 39) = 1 - e^{-\frac{39}{66}} = 0.4462[/tex]

0.4462 = 44.62% probability that a customer waits less than 39 seconds.

A similar problem is given at https://brainly.com/question/17039711

how many ways can the letters a, b, c, d, e be arranged where d and e cannot be next to eachother

Answers

Answer:

Step-by-step explanation:

a

Which expression is equivalent to 8^4 (8 to the 4th power)

Answers

Answer:

Step-by-step explanation:

8^4  is the same as 8·8·8·8

The exponent 4 means that 8 will be multiply by itself four time.

Answer:

4096

Step-by-step explanation:

hope this helps=)

what is -2(x+1) simplified

Answers

Answer:

-2x - 2

Step-by-step explanation:

-2(x + 1)

[tex](-2)(x+1)[/tex] [tex](-2)(x)+(-2)(1)[/tex] [tex]-2x - 2[/tex]

Therefore, the answer is -2x - 2.

Answer:

-2x - 2

Step-by-step explanation:

Simplify:

-2(x+1)-2(x) + -2(1)-2x - 2

-Chetan K

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