Coin: 50%; 1/2 chance to get heads
dice: 17%; 1/6 chance to get 2
Answer:
4 goals per hour
Step-by-step explanation:

The unit rate would be 4 goals per hour.
Hope this helps.
Answer:
52 m²
Step-by-step explanation:
12x3 = 36
2 x (11-3) = 2x8 = 16
36+16 = 52
Answer:
221g
Step-by-step explanation:
561g divided by 33cm is how much 1 cm of rope would be so then you multiply that amount by 13
Answer:
Where
and
We select a sample of n=16 and we are interested on the distribution of
, since the distribution for X is normal then we can conclude that the distribution for
is also normal and given by:

Because by definition:



And for this case we have this:


Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:
Where
and
We select a sample of n=16 and we are interested on the distribution of
, since the distribution for X is normal then we can conclude that the distribution for
is also normal and given by:

Because by definition:



And for this case we have this:

