What is an equivalent fraction to 9 divided by -12
1 answer:
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Answer:
5
Step-by-step explanation:
Use the distance formula
insert the numbers into the formula
2+1=3 and 0-4=-4
=9 and
= 1
9+16=25
the square root of 25 is 5
Answer:
a)
b)
c)
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".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
Let X the random variable that represent the variable of interest on this case, and for this case we know the distribution for X is given by:
And let represent the sample mean, by the central limit theorem, the distribution for the sample mean is given by:
a. What are the mean and variance of the sampling distribution for the sample means?
b. What is the probability that x overbarxgreater than>101
First we can to find the z score for the value of 101. And in order to do this we need to apply the formula for the z score given by:
If we apply this formula to our probability we got this:
And we want to find this probability:
On this last step we use the complement rule.
c. What is the probability that x bar 98less than
First we can to find the z score for the value of 98.
And we want to find this probability:
Answer: OPTION B.
Step-by-step explanation:
You need to analize the information given in order to solve this exercise.
According to the explained in the exercise, the graph shows Eli's distance (in miles) away from his house as a function of time (in minutes).
Then, based on that you can determine that he started his trip from the point (Notice that the time and the distance are zero)
Observe in the graph that he arrived to the library (which is 4 miles away from his house) after 30 minutes.
Then, he stayed at the library. You know this because it is represented with an horizontal line.
Now you can identify in the graph that, from the point ,in which the time in minutes is
, Eli began his trip from the library to his house.
Therefore, based on the above, you can determine that, when the time is equal to 120 minutes, Eli rode his bicycle home from the library.