Damien is competing in both swimming and running at a competition. After analyzing himself and his competitors, he knows that he has a 65% chance of winning at swimming and an 85% chance of winning at running. What is the probability that he will win the running event, but lose the swimming event?

Answers

Answer 1

Answer:

[tex]Probability = 0.2975[/tex]

Step-by-step explanation:

Giving:

Swimming

[tex]P(Win[Swim])= 65\%[/tex]

Running

[tex]P(Win[Run])= 85\%[/tex]

Required

Determine the probability of winning at running and losing at swimming

First, we calculate the probability of losing at swimming using

[tex]P(Win) + P(Lose) = 1[/tex]

Substitute 65% for P(Win)

[tex]65\% + P(Lose[Swim]) = 1[/tex]

Collect Like Terms

[tex]P(Lose[Swim]) = 1 - 65\%[/tex]

[tex]P(Lose[Swim]) = 35\%[/tex]

The required probability is then calculated using:

[tex]Probability = P(Win[Run]) * P(Lose[Swim])[/tex]

[tex]Probability = 85\% * 35\%[/tex]

Convert to decimal

[tex]Probability = 0.85 * 0.35[/tex]

[tex]Probability = 0.2975[/tex]


Related Questions

Please Help! I will give brainliest

Answers

Answer:

-6.3n + 8.6

Step-by-step explanation:

you add the terms together

Answer: -6.3n + 8.6

Step-by-step explanation:

A circle has an arc whose measure is 80° and whose length is 88. What is the diameter of the circle?

Answers

Answer:

length of arc=80/360×2πr

88×360=80×2×22/7×r

31680×7/(80×2×22)=r

r=221760/3520=63

diameter=2r=2×63=126

Hey guys can you help me with these im kinda busy and dont feel like doing them

Answers

Answer:

yes Whyy?

Step-by-step explanation:

walalang Sagot mo yan HAHAHAHAH

Suppose y varies directly with x. Write an equation if y = 4 when x = 0.4.

Answers

yes correct
0.04
step by step explanation:
i’m here for the points sorry

How do I estimate 0.509375

Answers

Answer:

round it to the nearest whole number.

Step-by-step explanation:

what are the next 2 terms in the sequence

Answers

Answer:

4 1/4 and 4 3/4

Step-by-step explanation:

its adding 2/4 each time

Answer:

4.25 and 4.75

Step-by-step explanation:

just add 0.50

If angle A =90 degree , b=1 cm and a =2 cm then solve the following right angled triangle ABC ​

Answers

Answer:

Angle A = 90 degrees, side a = 2.Angle B = 30 degrees, side b = 1.Angle C = 60 degrees, side c = [tex]\sqrt{3}[/tex].

Side c:

If angle A is 90 degrees, side a is the hypotenuse.[tex]c^{2} + b^{2} = a^{2}[/tex] <--- this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.[tex]c^{2} + (1)^{2} = (2)^{2}[/tex] [tex]c^{2} + 1 = 4[/tex] [tex]c^{2} = 3[/tex][tex]c = \sqrt{3}[/tex]

Finding the angles:

In a 30-60-90 right triangle, the...Shortest leg = xLongest leg = [tex]x\sqrt{3}[/tex] Hypotenuse = 2x In this case, the shortest leg is 1, the longer leg is [tex]\sqrt{3}[/tex] (or [tex]1*\sqrt{3}[/tex]), and the hypotenuse is 2 (or [tex]2*1[/tex]).As a result, this is a 30-60-90 triangle -- angle B is 30 degrees while angle C is 60 degrees.

Please help desperate due today please help

Answers

Answer should be 26!

HELP PLEASE
Which equation can you use to find the value of x?

Answers

Answer:

3x=78+x-2

Step-by-step explanation:

Answer: 3x = 78 + x - 2

Step-by-step explanation:

I NEED HELP PLEASE !!!!

Answers

Answer:

NEVER INTERSECT

Hope this Helps


-2x + 6y - X+5+ 2x - 4y -6

Answers

Answer:

2y-x-1

Step-by-step explanation:

use zero property

(-2x. +2x) =0

=6y-x+5-4y-6

collect like terms

6y-4y=2y

=2y-x+5-6

calculate the difference

+5-6=-1

=2y-x-1

good day :)

Only answer the part where it says her bonus will be______

Answers

Her bonus would be four dollars. I hope this helped!

Answer:

her bonus will be a big paycheck of 99999

WHAT IS 7/3 OF 6093?????????

Answers

Answer:

14217

Step-by-step explanation:

(7÷3)×6093=

14217

So can someone just help me solve this and tell me which terms belong together....ty-

Answers

48, -5, 37, and 5 go together

Kareem cannot decide which of two washing machines to buy. The selling price of each is ​$440. The first is marked down by 30​%. The second is marked down by 20​% with an additional 10​% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the machines are the same except for the selling price.

Answers

Step-by-step explanation:

The selling price is $495.

The first washing machine:

- is marked down by 30​%

$495 - 100%

$x - 100% - 30% = 70%

Find the value of x:

x=$495*0.7=$346.50=$347

The second washing machine:

- is marked down by 20​% with an additional 10​% off

$495 - 100%

$y - 100% - 20% = 80%

Find y:

Y=$495*0.8=$396

Now,

$396 - 100%

$z - 100% - 10% = 90%

Find z:

Z=$396*0.9=$356.40=$356

the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.

Answer:

The sale price of the first washing machine is $308

The sale price of the second washing machine is $317

Solve the following multi-step equation: 4(2 - 4x) - 3x = 65

Answers

Answer:

x = -3

Step-by-step explanation:

4(2 - 4x) - 3x = 65

Distribute the 4.

8 - 16x - 3x = 65

Combine like terms.

8 - 19x = 65

-19x = 57

Divide by -19 to isolate x.

x = 57/-19

x = -3

Check.

4(2 - 4(-3)) - 3(-3) = 65

4(2 - (-12) + 9 = 65

4(14) + 9 = 65

56 + 9 = 65

65 = 65

The solution of the given linear equation 4(2 - 4x) - 3x = 65 is  -3.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:

4(2 - 4x) - 3x = 65

Multiply the expressions inside the brackets,

8 - 16x -3x = 65

8 - 19x = 65

Subtract 8 from both the sides,

-19x = 65- 8

-19x = 53

Divide both side by -19

[tex]x = \dfrac{-53}{19}[/tex]

Thus, the value of x is -3.

Learn more about equations here:

https://brainly.com/question/14686792

#SPJ6

If I got 562 on my 7th grade Math Diagnostic then what grade level am I?

Answers

Answer:

7th grade, I think

I looked it up but I am not 100% sure

If you spin the spinner, what is the probability of the pointer landing in the y section

Answers

Answer:

1/8

Step-by-step explanation:

Help !!!
See question in image.
Please show workings .

Answers

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim(h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-(4x^2-2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-4x^2+2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{4x^2+8hx+4h^2-4x^2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{8hx+4h^2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 )  4(2x + h) ← let h go to zero

f'(x) = 8x

help me yall like sis

Answers

Answer:

x= 10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

Answer:

x=10

Step-by-step explanation:

Vertical angles are always congruent, those to angles are vertical angles so they are congruent.

Set them equal to each other:

110=8x+30                 subtract 30 from both sides

80=8x                        divide by 8 on both sides

x=10

Hope this helps :)

2. How many solutions does the system have?
y = 2x - 5
y = 2x + 3
a. One solution
b. Two solutions
c. No solutions
d. Infinitely many solutions

Answers

Answer:

I think it is b or d I'm not sure though

Find the highest common factor of 55 and 605

Answers

Answer:

55

Step-by-step explanation:

Factors for 605: 1, 5, 11, 55, 121, and 605

Factors for 55: 1, 5, 11, and 55

So the highest common factor they have is 55.

HCF = 55

Please help fast!!

composition of functions

g(x)=2x-5 h(x)=x^2-2

find g(h(-8))

Answers

Answer:

g(h(- 8)) = 119

Step-by-step explanation:

Evaluate h(- 8), then substitute the result obtained into g(x), that is

h(- 8) = (- 8)² - 2 = 64 - 2 = 62, then

g(62) = 2(62) - 5 = 124 - 5 = 119

G (h(-8)) = 118

Hope this helps

What is the answer? Please

Answers

Answer:

i would say the 3rd one

Step-by-step explanation:

Given three points, it is possible to draw a circle that passes through all three. The perpendicular bisectors of a chords always passes through the center of the circle. By this method we find the center and can then draw the circle. This is virtually the same as constructing the circumcircle a triangle.

35-36. PLEASE HELP! I've bee stick on this problems and I've reposted it sooo many times but no one answered. If you answer both and leave an explanation I will mark you brainliest!​

Answers

Answer:

1. Look at the screenshot below.

2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.

Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.

It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.

Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.

The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.

Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.

A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.

Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.

Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .

Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .

Either 25/4 or 6.25

Help. I need help with these questions ( see image).
Please show workings.

Answers

9514 1404 393

Answer:

  4)  6x

  5)  2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

  [tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the power rule.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

  lim[h→0](f(x+h)-f(x))/h = 2ax +b

__

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

__

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

Plzz hurry!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The first one is say I agree

The second one is line

Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.

You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).

The card is a diamond or a heart.


The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:


Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.


2. You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).

The card is a diamond or a heart.


The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:

Answers

Answer:

There we go!!!

A una fiesta número de mujeres era 4 veces al número de hombres después de la llegada de 5 matrimonios el porcentaje de hombres en la fiesta pasó a ser deben 6% cuál es el número de mujeres después de la llegada de 5 matrimonios

Answers

pro person contacts pe

After the arrival of 5 marriages, the total women will be 9.

What is a mathematical function, equation and expression?          

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is that at a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6%

Assume that the initial number of men are [x]. Then, the number of women will be y = 4x.

After the arrival of 5 marriages -

y + 5 = 4x + 5

and

x = 6% of y

x = (6/100) x y

x = (3/50)y

So, we can write -

y + 5 = (12/50) + 5

y = 12/50

So -

x = (12/50) x (50/3)

x = 4

After the arrival of 5 marriages, the total women will be -

x + 5 = 9

Therefore, after the arrival of 5 marriages, the total women will be 9.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

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{Question in english language is -

At a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6% what is the number of women after the arrival of 5 marriages}

A 13 sided figure has how many
total degrees in its interior angles?

Answers

9514 1404 393

Answer:

  1980°

Step-by-step explanation:

The formula for the sum of interior angles of an n-gon is ...

  angle sum = 180°(n -2)

For n=13, the angle sum is ...

  angle sum = 180°(13 -2) = 180°×11

  angle sum = 1980°

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