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

I need help- I’ll give brainlist if it’s right

Answers

Answer:

D.  x>[4]

Plzzzzz give me Brainliest!!!!!  

Answer:

D. x > 4

Step-by-step explanation:

You have to do the opposite operations to get the variable on one side of the equation by itself.

4 - x + 4 = 8 - 4

x = 4

You only switch the comparison sign if you mutliply or divide by negative numbers when you do opposite operations to get the variable on one side of the equation by itself.

I hope this helps!

can someone help me on this please :) ​

Answers

9514 1404 393

Answer:

x = 6y = 18

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

  [tex]\left(\dfrac{a^3b^4}{a^2b}\right)^6= (a^{3-2}b^{4-1})^6 =a^{1\cdot6}b^{3\cdot6}=\boxed{a^6b^{18}}[/tex]

Comparing to the given form, we see x=6, y=18.

Scientists are drilling a hole in the ocean floor to learn more about the Earth's history Currently, the hole is in
the shape of a cylinder whose volume is approximately 4200 cubic feet and whose height is 4.3 miles. Find
the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are
used.)
The radius of the hole is
feet. (Round to the nearest hundredth.)

Answers

Answer:

The radius of the hole is 0.24 feet

Step-by-step explanation:

Firstly, we need to convert the miles to feet

Mathematically;

1 mile = 5,280 feet

4.3 miles is thus;

4.3 * 5,280 = 22,704 feet

Mathematically, the volume of a cylinder is;

V = pi * r^2 * h

here, we want to get r

4200 = 3.142 * r^2 * 22,704

r^2 = 4200/(3.142 * 22,704)

r = 0.24 feet

Work out these approximate conversions. 8 miles=..... km​

Answers

Answer:

12.87 km

Step-by-step explanation:

searched it up

Erwin earns $ 2 , 100 per month. Her deductions amount to 26 % of her paycheck. How much does Erwin take home each month?

Answers

Answer:

Credit ⇒ 45

Debit ⇒ $30

Step-by-step explanation:

Credit = $45

Debit = $30

When an account balance increases it means that it has been credited and when it decreases, it has been debited.

The beginning balance here is $0 and the closing balance is $15.

There were 2 transactions, one credit and one debit.

For the closing balance to be $15, the Credit amount must have been $15 more than the Debit amount.

what does it mean by a variables​

Answers

Answer:

variables

Step-by-step explanation:

variables are constantly variating to contour to the problem it is being used in like in rentals, the variable is the amount of hours rented and the constant is the price it's being rented for

Solve for x. 5 = 1/5x -3​

Answers

Answer:

40.

Step-by-step explanation:

5=1/5x-3

8=1/5x

40

Brainliest PLS

* Find the length of BD.
A

Answers

9514 1404 393

Answer:

  BD = 17

Step-by-step explanation:

The Pythagorean theorem can be used twice:

  BC^2 + AC^2 = AB^2

  BC = √(AB^2 -AC^2) = √(25^2 -24^2) = √49 = 7

__

Likewise, ...

  DC = √(AD^2 -AC^2) = √(26^2 -24^2) = √100 = 10

Then ...

  BD = BC +DC = 7 + 10

  BD = 17

Find the slope of the line graphed below.
-

Answers

Step-by-step explanation:

1st point=(-2,2)x1=-2,y1=2

2nd point=(3,-2)x2=3,y2=-2

slope=y2-y1/x2-x1

According to the question,

slope=-2-2/3-(-2)=-4/5

I don’t understand this

Answers

Answer:

3 to 1

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

OA' : OA

= 27 : 9 ( divide both parts by 9 )

= 3 : 1

HELP ME PLEASE I NEED HELP

Answers

try the other answer.

Answer:

a. x=2

b. y=5

Step-by-step explanation:

a. 2(11x+7)=58

22x+14=58

x=2

b. 16y+10=90

16y=80

y=5

Are the ratios 1:2 and 8:20 equivalent?

Answers

Answer:

Nah

Step-by-step explanation:

8:20=2:5

1:2 is not equal to 2:5

Evaluate
2-8÷-2-3-12÷-6×-2

Answers

Answer:

7

Step-by-step explanation:

2-8÷-2-3-12÷-6×-2

2 - -4 - 3 - 2 x -2

2 + 4 + -3 - -4

6 + -3 + 4

3 + 4

7 :)

chloe is 5 feet 4 inches tall. there are 2.54 centimeters in 1 inch. what is chloe's height in centimeters?

Answers

Answer:

Her height would be 162.56 centimeters tall.

Step-by-step explanation:

There are 12 inches in 1 foot so that would mean that 1 foot has 30. 48 centimeters.

30.48 x 5 = 152.4

Add the 4 extra inches so 4 inches in centimeters is 10.16

152.4 + 10.16 = 162.56

For the model to scale, the ratio of the height to the side length should be the same for both the actual pyramid and the model. Is the model of Khufu's pyramid to scale? If not, is it close?

PLEASE HELP. I WILL MARK YOU BRANLIEST​

Answers

Answer:

Scale Model of the Great Pyramid

You can build a model of the Great Pyramid, but first you need to scale it down. To do this, you will need to

make the pyramid 3,000 times smaller than it really is! To achieve that, every 30 meters of the pyramid is

represented as 1 centimeter.

Step-by-step explanation:

Which graph shows a linear function?

Answers

Answer:

I this that its the third graph

Find the measure of

Answers

Answer:

119 is the answer

Step-by-step explanation:

use sum of angles on a straight line

Answer:

is the 3 one (119)

Because we all know that (B) is equal to 62 and (AB is 57 and if you add 62 + 57 = 119

8 * 6 + (12-4) / 2 equals to what

Answers

Answer:

52

Step-by-step explanation:

Simplify the expression (Steps shown below).

PLEASE HELP | WILL GIVE BRAINLY IF RIGHT | LOOK AT IMAGE

Answers

Answer:

Town C

Step-by-step explanation:

the answer is town C

Simply each expression
1) 2x+5-3x
2) -(w-2)

Answers

Answer:

1) -x+5

2)-w+2

Step-by-step explanation:

2x+5-3x Combine.

-x+5

-(w-2)

-w+2

Solve for z. 12=15(z-1/5)​

Answers

Z=0.6 or 3/5

Distribute
12=15z+3
Subtract the 3
9=15z
Divide by 15
0.6=z

Answer:

1

Step-by-step explanation:

First, Distribute

Then, add 3 to both sides

Then, Divide 15 from both sides

1=Z

I dont think this is right PLEASE HELP ASAP!!!! thank you so so so much!!! *will give brainliest*

Answers

Answer:

i got -2.093 repeating

Step-by-step explanation:

multiply -2 and 3.14 then divide by - 3 sorry if not right

The cost of hot drinks in a cafe is shown

Answers

Answer:

???? there's no attachment.

Step-by-step explanation:

I need help ASAP! picture below is what I need​

Answers

Answer:

Evaluating the piecewise function when X =3, we get f(3) = 7

Step-by-step explanation:

Given the following piecewise function

f(x)= { 2x+1; where x > 0

         -3 when x ≤ 0

Evaluate the function when X = 3

We will evaluate f(x) =2x+1 where x > 0, because x = 3 and 3 <0

We can't use -3, because x ≤ 0, and 3 is not less than 0.

Now, evaluating the function:

[tex]f(x)=2x+1\\Put\:x=3\\f(3)=2(3)+1\\f(3)=6+1\\f(3)=7[/tex]

So, Evaluating the piecewise function when X =3, we get f(3) = 7

What is this problem: It is also a rational function. 6 / x^2 - 9 - 1 / x - 3 = 1 Answers: A) -1+-sqr(73) / 2 B)-4 C)2 D)3 or -4

Answers

Answer:  B)-4

Step-by-step explanation:

The given equation: [tex]\dfrac{6}{x^2-9}-\dfrac{1}{x-3}=1[/tex]

Using identity: [tex]a^2-b^2=(a-b)(a+b)[/tex]

[tex]\dfrac{6}{(x-3)(x+3)}-\dfrac{1}{x-3}=1\\\\\Rightarrow\ \dfrac{6-(x+3)}{(x-3)(x+3)}=1\\\\\Rightarrow\ \dfrac{6-x-3}{(x-3)(x+3)}=1\\\\\Rightarrow\ 3-x=(x-3)(x+3)\\\\\Rightarrow\ (-1)(x-3)=(x-3)(x+3)\\\\\Rightarrow\ -1=x+3\\\\\Rightarrow\ x=-1-3=-4 \ \ \ [x\neq3][/tex]

Hence, the solution is : x=-4

The correct option is B.

What are all the variables of x y and z ?

Answers

Answer:

x°=96°

y°=88°

z°=151°

Step-by-step explanation:

55°+29°+×°=180°

×°=96°

96°+55°=z°

z°=151

then let variable A° be one of the inner angle of the triangle

A°+z°=180°

A°+151°=180°

A°=29°

finally adding all the inner angles will give us 180°

96°+y°-13°+29=180°

y°=88°

a car travels 180 miles in 3 hours at this rate how many miles will the? car travel in 6 hours ?

Answers

It will cover 360 miles in 6 hrs

Hope this helps

Pls give me BRAINLIEST

I need help with this please!! ​

Answers

Answer:

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Step-by-step explanation:

1. Expand by distributing sum groups.[tex]3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)[/tex]

2. Expand by distributing terms.

[tex] {6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)[/tex]

3.Expand by distributing terms.

[tex] {6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)[/tex]

4. Remove parentheses.

[tex] {6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3[/tex]

5. Collect like terms.

[tex] {6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3[/tex]

6. Simplify.

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Thus. the answer is,

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

A Petri dish is growing bacteria. It starts with 3 cells on day 1, 9 cells on day 2, and continues tripling the number of cells every day after that. How many cells of bacteria are there on day 5? 3 5 5 3 15 18

Answers

Answer:

243

Step-by-step explanation:

Given that:

Day 1 = 3

Day 2 = 9

After the 2nd day, number of cells continue to triple ;

Day 3 = 9^3

P(t) = 9 * 3^3

P(t) = 9 * 27

= 243

1/3 divided by 4
2/5 divided by 4
4/7 divided by 4
2/5 divided by 3
5/6 divided by 5
5/8 divided by 10

Answers

1. 1/3 divided by 4 is 0.0833
2. 2/5 divided by 4 is 0.1
3. 4/7 divided by 4 is 0.1428
4. 2/5 divided by 3 is 0.1333
5. 5/6 divided by 5 is 0.1666
6. 5/8 divided by 10 is 0.0625

Answer:

1. 0.0833

2. 0.1

3.  0.1428

4.  0.1333

5. 0.1666

6.  0.0625

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