Determine the value of x. Question 3 options: 1) 2.3 2) 10 3) 2.5 4) 2.11
1 answer:
This question is incomplete, the diagram is missing. The complete diagram is uploaded along this answer.
Answer: (3) 2.5
Step-by-step explanation:
From the diagram, given that;
BF = 2.3, DF = x, FC = 5, FE = 4.6,
Now
by theorem
BF * FC = DF * FE
so we substitute
2.3 * 5 = x * 4.6
11.5 = 4.6x
x = 11.5 / 4.6
x = 2.5
therefore the value of x is 2.5
You might be interested in
Answer:
a)
And we can find this probability using the normal standard table or excel:
b)
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
c)
And we can find this probability using the complement rule and the normal standard table or excel:
d) We can consider unusual events values above or below 2 deviations from the mean
A value below 10.5 can be consider as unusual
A value abovr 31.7 can be consider as unusual
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".
Part a
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:
Part b
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Part c
And we can find this probability using the complement rule and the normal standard table or excel:
Part d
We can consider unusual events values above or below 2 deviations from the mean
A value below 10.5 can be consider as unusual
A value abovr 31.7 can be consider as unusual