In the first function, it shifts over to the right by 4 units. Then the second function shifts 7 units to the left.
You need 710 ft of fencing.
Answer:
false: the event will never occur; the event will definitely occur; the event is likely to occur
true: there is a small chance that the event will occur
Step-by-step explanation:
Answer:
0.9506
Step-by-step explanation:
Pr(A) = 0.02
Pr(B) = 0.03
Pr(both) = 0.007
So,
Pr(Not A) = 1 - Pr(A)
= 1 - 0.02
= 0.98
Pr(Not B) = 1 - Pr(B)
= 1 - 0.03
= 0.97
Pr(Not by both) = 1 - Pr(both)
= 1 - 0.007
= 0.993
Thus,
Pr(Not B) or Pr(Not A) = 0.97 × 0.98
= 0.9056
∴ the probability that the house would not be damaged by a hurricane or an earthquake during the year is 0.9506.
Answer:


As we can see the z score for Ferdinad is higher than the z score for Emilia so on this case we can conclude that Ferdinand was better compared with his group of reference.
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
Emilia case
Let X the random variable that represent the scores of a test, and we know that
Where
and
The z score formula is given by:
Since Emilia made 83 points we can find the z score like this:

Ferdinand case
Let X the random variable that represent the scores of a test, and we know that
Where
and
The z score formula is given by:
Since Ferdinand made 79 points we can find the z score like this:

As we can see the z score for Ferdinad is higher than the z score for Emilia so on this case we can conclude that Ferdinand was better compared with his group of reference.