Answer:
A-(x+4,y-5)
B- move 1 unit left and 7 units down
Step-by-step explanation:
A- 4 units right is x so
(x+4,y__)
5 units down is y so
(x+4,y-5)
B- move 1 unit left and 7 units down
because (x-1,y__) is going left because of the subtraction sign and its the x-coordinate, and (x-1,y-7) is down because its a Y-coordinate and sub so its going down.
<h2><u>
TIP- Going left/down is always subtract/negative going right/up is positive/addition.</u></h2>
Answer:
13,415 miles
Step-by-step explanation:
Final position - initial position = Miles traveled:
23,840 miles - 10,425 miles = 13,415 miles
2/3 + 1/4 .....common denominator is 12
8/12 + 3/12 =
11/12 <==
Answer:

Step-by-step explanation:
For each name, there are only two outcomes. Either the name is authentic, or it is not. So, we can solve this problem using the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And
is the probability of X happening.
In this problem.
5 names are selected, so 
A success is a name being non-authentic. 40% of the names are non-authentic, so
.
We have to find 
Either the number of non-authentic names is 0, or is greater than 0. The sum of these probabilities is decimal 1. So:




So

Answer:
h=3.9x+15.85 meters
Step-by-step explanation:
Let's say that the height of the floor just before the roof to the highest point of the roof is also 3.9 m, perhaps, we have an almost flat roof
Since the FM radio antenna is fixed on top of roof, the total height is that of previous floors and the antenna
Taking the building to have x number of floors with each floor having 3.9 m height, the function of height will be
h=3.9x + 15.85 meters