Answer:
Step-by-step explanation:
Given:
Right ∆ABC
AB = 61
BC = 60
AC = 11
Required:
Value of tan A in radical form
SOLUTION:
Opposite = 60
Adjacent = 11
Say that a supplier claims they are 99% confident that their products will be in the interval of 50.02 to 50.38. You take sample
1 answer:
Answer:
The supplier becomes less accurate than they otherwise would have tried to claim. A further explanation is below.
Step-by-step explanation:
According to the provider, this same width of that same confidence interval would be as follows:
=
=
Depending on the input observed, the width including its confidence interval would be as follows:
=
=
As even the width of that interval again for survey asserted > the width including its confidence interval according to the provider's statement, we could conclude that such is the appropriate reaction.
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Answer and Explanation:
Given : The random variable x has the following probability distribution.
To find :
a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.
b. Calculate the expected value of x.
c. Calculate the variance of x.
d. Calculate the standard deviation of x.
Solution :
First we create the table as per requirements,
x P(x) xP(x) x² x²P(x)
0 0.25 0 0 0
1 0.20 0.20 1 0.20
2 0.15 0.3 4 0.6
3 0.30 0.9 9 2.7
4 0.10 0.4 16 1.6
∑P(x)=1 ∑xP(x)=1.8 ∑x²P(x)=5.1
a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.
Yes it is a probability distribution.
b) The expected value of x is defined as
c) The variance of x is defined as
d) The standard deviation of x is defined as
Answer:
B
Step-by-step explanation:
So, to figure this out, we must find the total miles Maria ran in a week.
We know that she ran 2.75 miles each day.
She did this for 7 days.
Her goal was 17.5 miles.
So first, multiply the amount of days by the amount of miles per day:
7*2.75
=
19.25
So now we know that she ran a total of 19.25 miles in a week.
Since she onlu needed to run 17.5 miles, we can instantly rule out:
A - Runs less 17.5 miles
C - Runs exactly 17.5 miles
This leaves:
B - She runs 1.75 miles more than 17.5 miles
D - She runs 2.75 miles more than 17.5 miles
To figure out which on is correct, subtract her total miles by her goal:
19.25-17.5
=
1.75
So we know it must be:
B - She runs 1.75 miles more than 17.5 miles
This is because we figured out she ran an extra 1.75 miles.
Hope this helps! :)
