10 lb 6oz minus 7lb 11oz is

An arcade booth at a county fair has a person pick a coin from two possible coins available and then toss it. If the coin chosen

nydimaria [60]

Answer:

b. 0.6024

Step-by-step explanation:

Conditional Probability

Suppose two events A and B are not independent, i.e. they can occur simultaneously. It means there is a space where the intersection of A and B is not empty:

$P(A\cap B) \neq 0$

If we already know event B has occurred, we can compute the probability that event A has also occurred with the conditional probability formula

$\displaystyle P(A|B)=\frac{P(A\cap B)}{P(B)}$

Now analyze the situation presented in the question. Let's call F to the fair coin with 50%-50% probability to get heads-tails, and U to the unfair coin with 32%-68% to get heads-tails respectively.

Since the probability to pick either coin is one half each, we have

$P(U)=P(F)=50\%=0.5$

If we had picked the fair coin, the probability of getting heads is 0.5 also, so

$P(F\cap H)=0.5\cdot 0.5=0.25$

If we had picked the unfair coin, the probability of getting heads is 0.32, so

$P(U\cap H)=0.32\cdot 0.5=0.16$

Being A the event of choosing the fair coin, and B the event of getting heads, then

$P(B)=P(F\cap H)+P(U\cap H)=0.25+0.16=0.41$

$P(A\cap B)=P(F\cap H)=0.25$

$\displaystyle P(A|B)=\frac{0.25}{0.41}=0.61$

The closest answer is

b. 0.6024

7 0

3 years ago

Ms. Rodriguez broyght 10 oranges for afternoon snak that she needs to share evenly with the 15 players on her daughters soccer t

daser333 [38]

Answer:

she should cut them into thirds

Step-by-step explanation:

there are 10 oranges while there are 15 players.

a) if she cuts them into halves, she will have 20 slices with 5 left over, who will get an extra slice while who doesn't? it can't work

b) if she cuts them into thirds, she will have 30 slices with 15 left over, that is enough to give each player two slices with none left over, it works!!

c) if she cuts them into quarters, she would have 40 slices with 25 left over. this means some players would get three slices, while others would only get two. it doesn't work.

this is why B is the right answer

5 0

3 years ago

Betty took a doll she inherited from her grandmother to the antique store. The dolls original price tag says $6.80. The antique

mariarad [96]

There was a 12.35% increase in the price.

5 0

3 years ago

Pi/24 is the solution for 4cos2 (4x) - 3 = 0 True or false

inessss [21]

Answer:

True.

Step-by-step explanation:

Given,

4cos2 (4x) - 3 = 0

Now, 4π/24 = π/6

Or, cos π/6 = √3/2

Or, cos^2 π/6 = 3/4

Or, 4 cos^2 π/6 = 3

Now, Left Hand Side= 4cos2 (4x) - 3

= 3-3 =0 = Right Hand Side (Proved)

Here, Left Hand Side= Right Hanad Side. So, 4cos2 (4x) - 3=0 is true.

5 0

3 years ago

Read 2 more answers

PLEASE HELP!!! 30+ POINTS

DedPeter [7]

Answer:

A measure of average is a value that is typical for a set of figures. Finding the average helps you to draw conclusions from data. The main types are mean, median and mode. Data is also often grouped.

Step-by-step explanation:

To find the mean add all the ages together and divide by the total number of children.

If you type all those ages into a calculator it is easy to make an error.

8 0

3 years ago