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2 years ago

Suppose you are given a fair coin and an unfair.com, which

Mathematics

1 answer:

horrorfan [7]2 years ago

6 0

Answer:

9/25 or 36%

Step-by-step explanation:

The probability of selecting the fair coin is 1/2, and the probability of getting heads with the fair coin is 1/2.

P(fair) = 1/2, P(heads | fair) = 1/2

The probability of selecting the unfair coin is 1/2, and the probability of getting heads with the unfair coin is 2/3.

P(unfair) = 1/2, P(heads | unfair) = 2/3

P(fair and 2 heads) = 1/2 (1/2)²

P(fair and 2 heads) = 1/8

P(2 heads) = 1/2 (1/2)² + 1/2 (2/3)²

P(2 heads) = 1/8 + 2/9

P(2 heads) = 25/72

Therefore, the probability that you selected the fair coin, given that you flipped 2 heads, is:

P(fair | 2 heads) = (1/8) / (25/72)

P(fair | 2 heads) = (1/8) (72/25)

P(fair | 2 heads) = 9/25

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Solve the unknown variable

dsp73

Set measurements equal to each other.
7X + 20 = 8X + 8
-7X -7X

20 = X + 8
-8 -8

ANSWER: X=12

5 0

2 years ago

The sum of two numbers is 65 one is 4 times as large as the others.what are the numbers?

bixtya [17]

let the numbers be n and m

n+m=65

n=4m

So when we put our work in:

4m+m=65

5m=65

m=13

n=52

So therefore your two numbers are 52 and 13!

Hope this helped! °ω°

6 0

3 years ago

Joni has a circular garden with a diameter of 14 1/2 feet if she uses 2 teaspoons of fertilizer for every 25 square feet of gard

alina1380 [7]

Answer:

13.20 teaspoon of fertiliser needed for entire garden.

Step-by-step explanation:

Diameter of the garden = 14.50 ft

Radius of the garden = 7.25 ft

Area

[tex]A=\pi r^2[/text]

[tex]A=\pi \times 7.25 \times 7.25[/text]

[tex]\pi=3.14[/text]

[tex]A=\pi \times 7.25 \times 7.25[/text]

[tex]A=3.14 \times 7.25 \times 7.25[/text]

Hence

[tex]A=165.046[/text]

Area is 165.046 Sq Ft

For 25 sq ft of fields the fertiliser needed = 2 tea spoon

For 1 sq ft of fields the fertiliser needed =

[tex]\frac{2}{25}[/text] tea spoon

For 165.046 sq ft of fields the fertiliser needed =

[tex]\frac{2 \times 165.046 }{25}[/text] tea spoon

For 165.046 sq ft of fields the fertiliser needed = 13.20 tea spoon

6 0

2 years ago

Pls help being timed

Vera_Pavlovna [14]

4x = 300*99

x= 300*99/4 = 7425.

So a is correct asnwer

6 0

3 years ago

Read 2 more answers

Maria spend 5 hours studying and earned a 90 on her exam. If you want to score a 81, how much time do you need to spend studying

Oliga [24]

Answer:

4hrs 30 mins

Step-by-step explanation:

5hrs-90

x-81

cross multiplying gives us

405-90x then dividing through made x=4.5 which is = 4hrs 30mins

7 0

3 years ago