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Dafna1 [17]
2 years ago
15

Megan has three and 2/3 NERDS ropes to split into 1/5 length pieces. If she shares these pieces with as many friends as possible

, how many will get 1/5 of a rope?
Mathematics
1 answer:
makkiz [27]2 years ago
8 0
18 friends would get 1/5 of a rope
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A certain virus infects one in every 200 people. a test used to detect the virus in a person is positive 70​% of the time when t
V125BC [204]

We're told that

P(A)=\dfrac1{200}=0.005\implies P(A^C)=0.995

P(B\mid A)=0.7

P(B\mid A^C)=0.05

a. We want to find P(A\mid B). By definition of conditional probability,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}

By the law of total probability,

P(B)=P(B\cap A)+P(B\cap A^C)=P(B\mid A)P(A)+P(B\mid A^C)P(A^C)

Then

P(A\mid B)=\dfrac{P(B\mid A)P(A)}{P(B\mid A)P(A)+P(B\mid A^C)P(A^C)}\approx0.0657

(the first equality is Bayes' theorem)

b. We want to find P(A^C\mid B^C).

P(A^C\mid B^C)=\dfrac{P(A^C\cap B^C)}{P(B^C)}=\dfrac{P(B^C\mid A^C)P(A^C)}{1-P(B)}\approx0.9984

since P(B^C\mid A^C)=1-P(B\mid A^C).

4 0
3 years ago
Please help!!!!!!!!!!
Dmitriy789 [7]

Answer:

1. c.

2. a.

3. b.

Step-by-step explanation:

Remember f(x) = y

1. f(x) = y = 2/5x+8

2. f(x)= y - 8 = x => y = 8 +x

3. f(x) = y = x - 8

3 0
2 years ago
The work of a student to solve the equation 2(6y − 3) = 20 + 6y is shown below:
Gnom [1K]
Step 2: 8y-5=10+3y is wrong
And the second step is right
7 0
3 years ago
Please help me solve this
MArishka [77]

9514 1404 393

Answer:

  sin(θ) ≈ -0.92

  cos(θ) ≈ 0.38

  tan(θ) = -2.40

Step-by-step explanation:

Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...

  r² = (5)² + (-12)²

  r² = 169

  r = √169 = 13

The trig relations for a point on the terminal ray are ...

  (x, y) = (r·cos(θ), r·sin(θ))

Then ...

  sin(θ) = y/r = -12/13 ≈ -0.92

  cos(θ) = x/r = 5/13 ≈ 0.38

  tan(θ) = y/x = -12/5 = -2.40

7 0
3 years ago
A basketball team played 25 games and won 7 more then they lost. How many games did they win and lose
Darya [45]

Answer:

lost = 9 games

and

won = 9 + 7 = 16 games

Step-by-step explanation:

Given that:

Total games played = 25

According to given condition:

lost = x

won = 7 + x ----------- eq1

x + x + 7 = 25

2x = 25 - 7

2x = 18

x = 9

So they lost = 9 games

and won = 9 + 7 = 16 games

i hope it will help you!

7 0
3 years ago
Read 2 more answers
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