Answer:
<u>The solution of this system of equation is ( 3, - 8)</u>
Step-by-step explanation:
1. Let's solve the system of equations:
First equation:
x + 2y = - 13
x = - 13 - 2y
Second equation:
12x + 5y = -4
12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)
-156 -24y + 5y = - 4
-24y + 5y = - 4 + 156 (Like terms)
-19y = 152
y = - 152/19
<u>y = -8</u> (Dividing by 19)
Solving x
x + 2y = -13
x + 2 (- 8 ) = - 13
x - 16 = - 13
x = - 13 + 16
<u>x = 3</u>
2. Proving that x = 3 and y = - 8 are correct:
12x + 5y = -4
12 * 3 + 5 * -8 = -4
36 - 40 = - 4
- 4 = - 4
<u>We proved that x = 3 and y = - 8 are correct</u>
We can always do a prime factoring of it, and check
50 = 2*5*5
2*5²
a perfect square, so-called, is the resulting number of a squared value, well 50 is not the result of anything squared, is the result of 3 factors, in this case 2,5 and 5.
a perfect square will be something like say 64, or 144, because
64 = 8*8
8²
144 = 12*12
12²
Answer:
(B) Yes, there is reason. The TV audience might not be representative of the population.
(E) Yes, there is reason. Call-in polls tend to be biased.
Step-by-step explanation:
According to the information given we might consider two answers.
The first answer is:
<em>(B) Yes, there is reason. The TV audience might not be representative of the population.</em>
Let's remember that for a sample to be representative of a population must be random and every person must have the same probability of being selected. Here, the question is targeted only to the TV show's audience, so the results can only be interpreted for this segment of the population.
<em>(E) Yes, there is reason. Call-in polls tend to be biased.</em>
The risk is that the people who call might be influenced by the show itself and would not give an unbiased answer. This creates a bias on the sample. Besides, as stated before, not all the elements of the population can be part of the sample.
Answer :
c = 10 radical 2
Step-by-step explanation:
10^2 + 10^2 = c^2
100 + 100 = c^2
200 = c^2
