An athlete has 75% of winning the race if he is not injured. If he is injured, his probability of winning the race is only 15%. If the total chances of winning is 51%, what is the probability that he gets injured?

Answers

Answer 1

Answer:

X = 'is the athlete injured' (X in {0,1})

Y = 'the athlete wins' (Y in {0,1})

P(Y=1|X=0) = 0.75

P(Y=1|X=1) = 0.15

P(Y=1) = 0.51

We are looking for P(X=1) - P(Y=1) = P(Y=1|X=0)*(1-P(X=1)) + P(Y=1|X=1)*P(X=1)

The above equation should provide you with the answer 0.4!

Step-by-step explanation:


Related Questions

8 more than twice a number is greater than negative 18. Solve the inequality for the unknown number.

Answers

Answer:

x > -13

Step-by-step explanation:

Let x be the number

2x+8 > -18

Subtract 8 from each side

2x+8-8 > -18-8

2x> -26

Divide each side by 2

2x/2 > -26/2

x > -13

Answer:

x > -13

Step-by-step explanation:

Let x be the number

2x+8 > -18

Subtract 8 from each side

2x+8-8 > -18-8

2x> -26

Divide each side by 2

2x/2 > -26/2

x > -13

the park is 3 miles long and 2 miles wide. manuel walked around the park two times. how many miles did he walk in all?

(im pretty sure im wrong but is the answer 12?)

Answers

Answer:

20 miles.

Step-by-step explanation:

You're on the right track with your answer of 12. You added the sides you knew & multiplied by 2.

I'm picturing the park like a rectangle. So there are two sides that are 3 miles long, and 2 sides that are 2 miles long. For perimeter, we add all the sides.

3 + 3 + 2 + 2 = 10. And he walked the park twice, so 2 x 10 = 20

Aaron usually runs 1 1/2 miles each day. However, on
Tuesday he only ran 2/3 of that distance. How far did
Aaron run on Tuesday?

Answers

1 mile is the correct answer1 ½ ÷ 3 = ½½ x 2 = 1Please let me know if I am wrong.

4.- Un vehículo ha tardado 23 minutos en recorrer 86 Km. Si suponemos que no cambió de
velocidad en el trayecto, ¿qué velocidad llevaba cada segundo?
5.- Hemos dado la vuelta a un circuito en 34 segundos, llevando una velocidad constante de 13​

Answers

Answer:

I speak English.

Step-by-step explanation:

I  am from America.

What is 4 5/12 + 4 9/60 simplified? (Just give the answer)

Answers

Answer:

8 17/30

Step-by-step explanation:

Answer:

8 17/30

Step-by-step explanation:

4 5/12=4 25/60

4 25/60+4 9/60=8 34/60=8 17/30

ummm pls help (: pls

Answers

Answer:

Hence, first one will be 1/3 and second one will be 1/6

Step-by-step explanation:

1. Let the blank space be x then,

[tex]3 \frac{2}{3} + x = 4[/tex]

[tex]x = 4 - 3 \frac{2}{3} [/tex]

[tex]x = \frac{12 - 11}{3} [/tex]

[tex]x = \frac{1}{3} [/tex]

2. Let the blank be x then,

[tex]x + \frac{2}{3} = \frac{5}{6} [/tex]

[tex]x = \frac{5}{6} - \frac{2}{3} [/tex]

[tex]x = \frac{5 - 4}{6} [/tex]

[tex]x = \frac{1}{6} [/tex]

k a i ran 3/5 of a kilometer yesterday and today he ran 6 times as far so how much did he run today​

Answers

Answer:

Today, kai ran 1 3/5 kilometers.

Step-by-step explanation:

im sorry if this is incorrect.

Given: ∆ABC ≅ ∆DEF. Find DF and m∠B.

Answers

Answer:

DF is 3 and angle B is 28

Step-by-step explanation:

If both are congruent, the measurements are the same.

Answer:

DF = 3, Angle B = 28

Step-by-step explanation:

Look how the congruence statement is written. Ac goes with Df and angle E goes with angle B, so they are congruent.

Help plz...plz don’t steal points..

Answers

Answer:

C is the correct answer

Step-by-step explanation:

You just distribute the 5 to the following exponents.

How do you graph for the function Y= -x+1

Answers

-x = -1. Anything “X” equals to the number One. So do Y = -1 + 1.
The graph is..........

S 4xy
when x = 2, y = 5

Answers

Answer: 40

Step-by-step explanation:

Plug in the known values:

4(2)(5) = 8(5) = 40

Answer:

its 40 hope this helps you

Step-by-step explanation:

have a nice day/night

Olivia is making scarves. Each scarf will have 3 rectangle, and 2/3 of the rectangles will be purple. How many purple rectangles she need for 2 scarves.

Answers

Answer:

she will use 4.

Step-by-step explanation:

kajsbsbsjajaja

Which of the following is a regular quadrilateral
A. rectangle
B. square
C. trapezium
D. kite ​

Answers

Answer:

(B) square

Step-by-step explanation:

Square (regular quadrilateral): all four sides are of equal length (equilateral), and all four angles are right angles.

Answer:

B) square is your answer.

Step-by-step explanation:

hope it's help you with write answers.

HALP PLZZ!!! WILL GIVE BRAINLIEST IF CORRECT!!! Which of the following is a correct interpretation of the expression -7 - (-11)?
Choose 1 answer:
(Choice A)
Start at -7 on the number line and move 11 to the left.

(Choice B)
Start at -7 on the number line and move 11 to the right.

(Choice C)
Start at -11 on the number line and move 7 to the left.

(Choice D)
Start at -11 on the number line and move 7 to the right.

Answers

Answer:

choice B

Step-by-step explanation:

What is the solution to this inequality? 10x+18<−2

Answers

Answer:

[tex]x = - 2[/tex]

[tex]10x + 8 < - 2 \\ 10x < - 2 - 8 \\ 10x < - 20 \\ \frac{10x}{10} < \frac{ - 20}{10} \\ x < - 2 [/tex]

PLS ANSWER QUICK The science center has 200 people in attendance on Monday. The center expects Saturday’s attendance to be 140 percent of Monday’s attendance. Natasha is trying to figure out how many people will be in attendance. Her work is shown below.

Answers

Answer:

solution

100%=200

140%=?

=280

Write in point-slope form an equation of the line that passes through the given point and has the given
slope.
(1, – 3); m = 4

Answers

Answer:

y+3=4(x-1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=4(x-1)

y+3=4(x-1)

round 3.5679 to the nearest tenth

Answers

Answer:

3.6

Step-by-step explanation:

Can anybody help me

Answers

Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”  The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. and Basically just means for all numbers from minus infinity to infinity. We say real x to distinguish from complex numbers. 0. general ebriety. and Basically just means for all numbers from minus infinity to infinity. We say real x to distinguish from complex numbers. 0. general ebriety.

Plz help! If you can’t answer all the questions it’s ok just answer at least one but all would be great! You will get a brainly!

Answers

Answer:

1. 1.5  2. 84000   4. 3.9

Step-by-step explanation:

Select all sports that apply (you may select more than one). The underhand serve is used in...

Badminton
Tennis
Soccer
Pickleball
Voleybal.


Answers

Volleyball, tennis and badminton , I think
Volleyball
Badminton (i believe )

Find the particular solution of the differential equation?
/=5^3+9^2, when =1, =8

Answers

Answer:

[tex]\displaystyle s = \frac{5t^4}{4} + \frac{9}{t} - \frac{9}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Exponential Rule [Rewrite]:                                                                           [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Calculus

Derivatives

Derivative Notation

Solving Differentials - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

*Note:

Ignore the Integration Constant C on the left hand side of the differential equation when integrating.

Step 1: Define

[tex]\displaystyle \frac{ds}{dt} = 5t^3 + \frac{9}{t^2}[/tex]

t = 1

s = 8

Step 2: Integrate

[Derivative] Rewrite [Leibniz's Notation]:                                                     [tex]\displaystyle ds = (5t^3 + \frac{9}{t^2})dt[/tex][Equality Property] Integrate both sides:                                                     [tex]\displaystyle \int {} \, ds = \int {(5t^3 + \frac{9}{t^2})} \, dt[/tex][Left Integral] Reverse Power Rule:                                                             [tex]\displaystyle s = \int {(5t^3 + \frac{9}{t^2})} \, dt[/tex][Right Integral] Rewrite [Integration Property - Addition]:                           [tex]\displaystyle s = \int {5t^3} \, dt + \int {\frac{9}{t^2}} \, dt[/tex][Right Integrals] Rewrite [Integration Property - Multiplied Constant]:     [tex]\displaystyle s = 5\int {t^3} \, dt + 9\int {\frac{1}{t^2}} \, dt[/tex][Right Integrals] Rewrite [Exponential Rule - Rewrite]:                               [tex]\displaystyle s = 5\int {t^3} \, dt + 9\int {t^{-2}} \, dt[/tex][Right Integrals] Reverse Power Rule:                                                         [tex]\displaystyle s = 5(\frac{t^4}{4}) + 9(\frac{t^{-1}}{-1}) + C[/tex][Right Integrals] Rewrite [Exponential Rule - Rewrite]:                               [tex]\displaystyle s = 5(\frac{t^4}{4}) + 9(\frac{1}{t}) + C[/tex]Multiply:                                                                                                         [tex]\displaystyle s = \frac{5t^4}{4} + \frac{9}{t} + C[/tex]

Step 3: Solve

Substitute in variables:                                                                                 [tex]\displaystyle 8 = \frac{5(1)^4}{4} + \frac{9}{1} + C[/tex]Evaluate exponents:                                                                                     [tex]\displaystyle 8 = \frac{5}{4} + \frac{9}{1} + C[/tex]Divide:                                                                                                           [tex]\displaystyle 8 = \frac{5}{4} + 9 + C[/tex]Add:                                                                                                               [tex]\displaystyle 8 = \frac{41}{4} + C[/tex][Subtraction Property of Equality] Isolate C:                                               [tex]\displaystyle \frac{-9}{4} = C[/tex]Rewrite:                                                                                                          [tex]\displaystyle C = \frac{-9}{4}[/tex]

Particular Solution: [tex]\displaystyle s = \frac{5t^4}{4} + \frac{9}{t} - \frac{9}{4}[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Differentials Equations and Slope Fields

Book: College Calculus 10e

What is the area of the rectangle in the coordinate plane?

Answers

Answer:

70 square units

Step-by-step explanation:

14 x 5 = 70 square units

Hope that helps!

describe the graphs of 3x - y = 4 and y = 3x + 2?​

Answers

Answer:

3X-y=4

3x=4+y

3x-4=y

y=3x-4

Step-by-step explanation:

y=3x+2

y-2=3x

3x=y-2

x=y-2/3

I hope this answer help you

I hope this helps with your problems and by the way it’s no solution

Pls help ASAP if you can please

Answers

Answer:

136

Step-by-step explanation:

to find the triangle's surface area, you do the height (4) multiplied by the base (6). Then for the rectangles, you multiply the width (5 or 6) by the length (7). Then you add up all the numbers to get your answer.

Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?

Answers

Answer: Mika rides his bike for 6 miles to his friend's house and back. The extra information is when the problem says "He leaves his house at 4 p.m." since we are talking about distance, not time.

Step-by-step explanation:

Pls help I’ll brainlest ASAP and add extra points

Answers

Answer:

3 to 6 making 9 multiply by 4 giving 36

add 3 by 4 = 36

same

lmk of u hv questions

Please Help me immediately

Answers

Answer:

THE ANSWER IS 3€91>92~|

10^(x-2)=1000 Show or explain your reasoning.

Answers

Answer: x=5 trust me it right

Step-by-step explanation: hope this help:D

I don’t have time to explain bc I have work to do.

an isosceles triangle has congruent sides of 20 cm. the base is 10 cm. Find the height of the triangle. Round to the nearest tenth. (Pythagorean theorem)

Answers

Answer:

The height of the triangle would be

5

15

c

m

or

19.36

c

m

Step-by-step explanation:

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