Tan T = UV/VT
UV = VT tan T = 40 tan 54
UV = 55.055 ft —> 55.1ft
Answer:
The value of function (fog)(x) is 4 x² - 19
Step-by-step explanation:
Given function as :
f(x) = 4 x + 1
g(x) = x² - 5
So , function (fg(x)) can be written as
(fog)(x) = 4 ( x² - 5 ) + 1
Or, (fog)(x) = 4 x² - 20 + 1
Or, (fog)(x) = 4 x² - 19
Hence The value of function (fog)(x) is 4 x² - 19 Answer
Answer:
93.25% probability that they have taken this steroid
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test
Event B: Taking the steroid.
Suppose the probability of an athlete taking a certain illegal steroid is 10%.
This means that 
Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.
This means that 
Positive test:
99.5% of 10%(If the athlete has taken).
100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)
Then

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

93.25% probability that they have taken this steroid
If 12.6 was rounded, that means that it was rounded to the tenths place.
You know this because the number has one decimal place, so that must be what it was rounded to.
Answer:
Change = $3.26
Step-by-step explanation:
Given the following data;
Cost of cereal = $3.29.
Cost of milk = $3.45.
Amount paid = $10.00
Total cost of items bought = $3.29 + $3.45 = $6.74
Change = Amount paid - Total cost of items purchased.
Substituting into the equation, we have;
Change = $10.00 - $6.74
Change = $3.26
Therefore, Beth need to give the customer a change of $3.26.