28x + 44y = 964.40
21x + 33y = 723.30
Let's multiply the first equation by 4 and the second by -4
84x + 176y = 3857.6
-84x - 132y = -2893.2
Add the equations together.
0 + 44y = 964.4
Simplify
44y = 964.4
Divide both sides by 44
y = 964.4/44
Since we have the value of y, let's plug 964.4/44 into y for the first equation.
28x + 44(964.4/44) = 964.40
Simplify the left side
28x + 964.4 = 964.4
Subtract 964.4 from both sides
28x = 0
Divide both sides by 0
x = 0
In conclusion,
y = 964.4/44
x = 0
Answer:
a) 0.0184
b) 0.1829
Step-by-step explanation:
a) With geometric distribution you can measure the number of trials until the first success, that is, a defective chip is found, as follows:
P(x = k) = p*(1-p)^(k-1)
This means: probability to find exactly 1 defective in k trials, p is the probability to find a defective chip, which is equal to 0.02, and the number of trials are k = 5. Replacing:
P(x = 5) = 0.02*(1-0.02)^(5-1) = 0.0184
b) If you want the probability of 1 success within k trials, compute:

Replacing with k = 10

B. 25, acute
You can see it’s acute. 160 would be obtuse
Interval Notation:
(−∞,∞)
Set-Builder Notation:
{x|x∈R}