The equation given in the question has two unknown variables in the form of "x" and "y". The exact value of "x" and "y" cannot be determined as two equations are needed to get to the exact values of "x" and "y". This equation can definitely be used to show the way for determining the values of "x" in terms of "y"and the value of "y" in terms of "x". Now let us check the equation given.
2x - 5y = - 15
2x = 5y - 15
2x = 5(y - 3)
x = [5(y - 3)]/2
Similarly the way the value of y can be determined in terms of "x" can also be shown.
2x - 5y = - 15
-5y = - 2x - 15
-5y = -(2x + 15)
5y = 2x + 15
y = (2x +15)/5
= (2x/5) + (15/5)
= (2x/5) + 3
So the final value of x is [5(y -3)]/2 and the value of y is (2x/5) + 3.
Answer:
d. converges, -25
Step-by-step explanation:
An infinite geometric series converges if the absolute value of the common ratio is less than 1.
Here, the common ratio is 4/5:
| 4/5 | = 4/5 < 1
So the series converges. The sum of an infinite geometric series is:
S = a₁ / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = -5 and r = 4/5:
S = -5 / (1 − 4/5)
S = -25
Answer:
68/100*92= 62.56
No abbi does not pass exam.
Answer:
The value of the experimental probability is greater
Step-by-step explanation:
For the theoretical probability;
the probability that a card with the number 3 is selected is 1/5
We consider that the probabilities of each selection are equal, for the theoretical probability
For the experimental, we simply place the frequency of the selection 3 over the total
that will be 128/400 = 8/25
As we know that 8/25 is greater than 1/5
We can conclude that the value of the experimental probability is greater than that of the theoretical
