Step-by-step explanation:
<u>A</u><u>.</u><u> </u><u>Line up the decimals, then multiply as you would with whole numbers:</u>

<u>B. Line up the decimals, then add as you would with whole numbers:</u>
Note: These decimals aren't lined up exactly.



Answer:
12
step by step equation:
Lindsay owns 12 books.
Step-by-step explanation:
We can solve this question using a system of equations.
I am going to say that:
x is the number of books that Lindsay owns.
y is the nuber of books that Destiny owns.
z is the number of books that Henry owns.
Lindsay owns one-third the number of books that Destiny owns.
This means that:
, or
Henry owns a fourth as many books as Destiny.
This means that , or . Also, in function of x, we may have
Together they own 57 books.
This means that
We want to find x. So
Lindsay owns 12 books.
Using the lognormal and the binomial distributions, it is found that:
- The 90th percentile of this distribution is of 136 dB.
- There is a 0.9147 = 91.47% probability that received power for one of these radio signals is less than 150 decibels.
- There is a 0.0065 = 0.65% probability that for 6 of these signals, the received power is less than 150 decibels.
In a <em>lognormal </em>distribution with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of
.
- The standard deviation is of

Question 1:
The 90th percentile is X when Z has a p-value of 0.9, hence <u>X when Z = 1.28.</u>






The 90th percentile of this distribution is of 136 dB.
Question 2:
The probability is the <u>p-value of Z when X = 150</u>, hence:



has a p-value of 0.9147.
There is a 0.9147 = 91.47% probability that received power for one of these radio signals is less than 150 decibels.
Question 3:
10 signals, hence, the binomial distribution is used.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, we have that
, and we want to find P(X = 6), then:


There is a 0.0065 = 0.65% probability that for 6 of these signals, the received power is less than 150 decibels.
You can learn more about the binomial distribution at brainly.com/question/24863377
Answer:
45º
Step-by-step explanation:
Since we know the relatiionship of a 45-45-90 degree triangle, we can go two ways. Either we can use this to find CA and get the tangent of (6/6) or we can go straight to it. The hypotenuse in a 45-45-90 is always 6√2 and we know it is a right triangle so we can confirm this. So, measure of angle B is 45º.