Answer:
D) < 3, 7)>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given that the vector < 3 , -7 >
Given the vector reflection across the x-axis
(x,y) → (x , -y)
The vector < 3,-7> →< 3, -(-7)>
< 3,-7> →< 3, 7)>
You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement):
5x + 10y = 725
x + y = 100
By substitution, we get:
5x + 10(100 - x) = 725
5x + 1000 - 10x = 725
-5x = 725 - 1000
-5x = -275
x = -275/-5 = 55
100 - 55 = 45
Thus:
The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr.
To verify, plug and chug the results back into the original equations:
5(55) + 10(45) = 725
275 + 450 = 725
725 = 725 [OK]
55 + 45 = 100 [OK]
Usually, the terms “data” and “information” are used interchangeably. However, there is a subtle difference between the two.
In a nutshell, data can be a number, symbol, character, word, codes, graphs, etc. On the other hand, information is data put into context. Information is utilised by humans in some significant way (such as to make decisions, forecasts etc).
A basic example of information would be a computer. A computer uses programming scripts, formulas, or software applications to turn data into information.
Let us have a detailed look at the difference between data and information in a tabular column below
The mean is 0.0118 approximately. So option C is correct
<h3><u>Solution:</u></h3>
Given that , The probability of winning a certain lottery is 
for people who play 908 times
We have to find the mean number of wins
Assume that a procedure yields a binomial distribution with a trial repeated n times.
Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
Hence, the mean is 0.0118 approximately. So option C is correct.
Try this solution:
1. m∠A=m∠L; m∠B=m∠M and m∠C=m∠N;
2. m∠B=m∠M=35° and m∠C=m∠N=95°;
3. m∠A=m∠L=180°-(m∠B+m∠C)=180-35-95=50°
answer: 50°
