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dmitriy555 [2]
3 years ago
10

If you flip 2 coins, what is the probability of getting exactly 2 heads

Mathematics
2 answers:
Ahat [919]3 years ago
4 0

Answer:

This states that the probability of the occurrence of two independent events is the product of their individual probabilities. The probability of getting two heads on two coin tosses is 0.5 x 0.5 or 0.25.

Step-by-step explanation:

The probability of getting 2 heads with 2 coins can be broken into 2 steps:

The first coin must show Heads AND

the second coin must show Heads.

p(h,h)= P(H) <----- and means multiply

P(H) x P(H)= 1/2 x 1/2 =1/4

natulia [17]3 years ago
3 0
What the first guy said
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Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180
dezoksy [38]

Answer:

  • 28.3 minutes
  • 53.6°C

Step-by-step explanation:

The temperature of the soup is described by Newton's Law of Cooling, which says the rate of change of temperature is proportional to the difference between the temperatures of the soup and the room. The solution to this differential equation is the exponential function ...

  f(t) = a +b·c^(t/τ)

where a is the room temperature, b is the initial difference in temperature, and c is the fractional change in the difference in temperature over time period τ.

__

<h3>application</h3>

For the given scenario, we find ...

  a = room temperature = 20 . . . . degrees C

  b = (180 -20) = 160 . . . . degrees C

  c = (100 -20)/(180 -20) = 80/160 = 1/2 . . . . in τ = 20 minutes

So, the formula for the temperature of the soup is ...

  f(t) = 20 +160(1/2)^(t/20) . . . . . . . degrees C after t minutes

__

<h3>time to 80°C</h3>

Solving for t when f(t) = 80, we find ...

  80 = 20 +160(1/2)^(t/20)

  3/8 = (1/2)^(t/20) . . . . . subtract 20, divide by 160

  20×log(3/8)/log(1/2) = t ≈ 28.3 . . . take logarithms, divide by coefficient of t

It will take about 28.3 minutes to cool to 80°C.

__

<h3>temp at 45 minutes</h3>

The temperature after 45 minutes is ...

  f(45) = 20 +160(1/2)^(45/20)

  f(45) ≈ 53.6 . . . . degrees C

After 45 minutes the temperature of the soup will be about 53.6°C.

3 0
1 year ago
Read 2 more answers
A person earns $187.42 before deductions for 3 days' work. What is the rate of pay per hour assuming 8 hours of work per day?
gavmur [86]

8 hours = 1 day

24 hours = 3 days

187.42/24

Round it up and it will give you $7.80/hour

8 0
2 years ago
A print shop orders 58 T-shirts. They order 16 pink T-shirts, and six times as many blue T-shirts as white T-shirts. How many bl
Pepsi [2]
The have ordered 36 blue T-shirts.
___________________

How I got it --- So, we take away 16 from 58. You get 42. 
________________________________________

So, from then, you know 36 is 6 times as many as 6, right? ( Because 6 x 6 = 36)
___________________________________________________________

So, then, you have ordered 36 blue shirts and 6 white shirts, because 36 + 6 =42.
______________________________________________________

Glad I could help, and good luck!
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3 0
2 years ago
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On Thursday the basketball coach ordered 12 pizzas for 36 players who came in for practice. How many pizzas does the coach need
Paraphin [41]

Answer:16

Step-by-step explanation:Next day there will be (36+12) or 48 players.

For 36 players 12 pizzas are needed

For 1 player 12/36 pizzas are needed

For 48 players 12/36*48 or 16 pizzas are needed

3 0
2 years ago
Msty and yesenia have a group of base ten blocks. misty had six more block than yesenia. yesenias blocks represent 17. together
Inessa05 [86]

yesenia has 9 blocks. misty has 15.

15 + 9 = 22.

for the values of the blocks, yesenia has 17 and misty has 68.

17 + 68 = 85.

hope i helped!

4 0
3 years ago
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