Answer:

Step-by-step explanation:




Answer:
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 scores of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Answer:
= 5
Step-by-step explanation:
Substitute the given values into the formula
16 =
× 4(3 +
)
16 = 2(3 +
) ( divide both sides by 2 )
8 = 3 +
( subtract 3 from both sides )
5 =
Answer:
g(t) - h(t) = -2t - 1
Step-by-step explanation:
g(t) - h(t) = t-3-3t+2
= -2t -1
Answer:
-2a -12
Step-by-step explanation:
a minus * a plus is a negative therefore -12