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Anuta_ua [19.1K]
3 years ago
9

an experiment consists of flipping a fair coin and rolling a fair die. How many possible outcomes have a head and an even number

? PLEASE HELP ME! thank u
Mathematics
1 answer:
Nataliya [291]3 years ago
7 0
-- The probability of HEADS on a fair coin is  1/2 .

-- The probability of an even number (2, 4, or 6) on a die is  3/6 = also 1/2 .

-- The probability of both outcomes in the same toss is

                                   (1/2 x 1/2) = 1/4  =  25% .

-- There are 3 possible successful outcomes.
They are:

H - 2
H - 4
H - 6

-- There are 9 other outcomes that are not successful:

H - 1
H - 3
H - 5

T - 1
T - 2
T - 3
T - 4
T - 5
T - 6
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(255)/(6)*(672)/(9)+(37)/(9) <br> How do you work this out step by step??
koban [17]
Step 1. Type it into a Google search box or calculator. (You need to use a calculator anyway.) The result is 3177 4/9.

If you're doing this according to the Order of Operations, you do the multiplication and division left to right. This means the first calculation you do is
  255/6 = 42.5
Next, you multiply by 672
  42.5*672 = 28560
Then divide by 9
  28560/9 = 3173 3/9

You continue by doing the division
  37/9 = 4 1/9

And finish by adding the two results
  3173 3/9 + 4 1/9 = 3174 4/9

_____
If you're doing this by hand, you can recognize the first term as the product of two fractions, so is the product of numerators divided by the product of denominators.
  (255*672)/(6*9)
Using your knowledge of divisibility rules, you can do the division 672/6 to simplify this to
  (255*112)/9
Now, the first term and the second term have the same denominator, so you can add the numerators before you do the division.
  (255*112 + 37)/9 = (28560 + 37)/9 = 28597/9
You end up having to do only two simple divisions, rather than 3 of them.
  28597/9 = 3177 4/9

7 0
3 years ago
A bricklayer is able to set 2.5 bricks in one minute. How many bricks can he set in 8 hours?
pochemuha

Given:

A bricklayer is able to set 2.5 bricks in one minute.

Required:

To find the number of bricks can he set in 8 hours.

Explanation:

8 hours =480 minutes.

2.5 bricks in one minute.

So for 480 minutes,

\begin{gathered} =2.5\times480 \\  \\ =1200 \end{gathered}

Final Answer:

1,200 bricks can he set in 8 hours.

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