Answer:
0.3721 or 37.21%
Step-by-step explanation:
P(I) = 0.60; P(II) = 0.40;
P(not defective I) = 0.90; P(not defective II) = 0.80
The probability that the phone came from factory II, given that is not defective, is determined by the probability of a phone from factory II not being defective divided by the probability of a phone not being defective.
The probability is 0.3721 or 37.21%.
Answer:
{x = -3
, y=2 (Isolved for both variables be elimination)
Step-by-step explanation:
Solve the following system:
{3 x + 5 y = 1 | (equation 1)
7 x + 4 y = -13 | (equation 2)
Swap equation 1 with equation 2:
{7 x + 4 y = -13 | (equation 1)
3 x + 5 y = 1 | (equation 2)
Subtract 3/7 × (equation 1) from equation 2:
{7 x + 4 y = -13 | (equation 1)
0 x+(23 y)/7 = 46/7 | (equation 2)
Multiply equation 2 by 7/23:
{7 x + 4 y = -13 | (equation 1)
0 x+y = 2 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{7 x+0 y = -21 | (equation 1)
0 x+y = 2 | (equation 2)
Divide equation 1 by 7:
{x+0 y = -3 | (equation 1)
0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = -3
, y=2
Answer:
1109
Step-by-step explanation:
an = d (n - 1) + c
an = what you're looking for
n = term position
d = the common difference, in your case, 16
c = first term of the sequence, or -27
a₇₂ = 16(72 - 1) + -27 = 1109
Answer:
x = 8 units
Step-by-step explanation:
Note that the ratio of the middle-length legs is 12/18, and that of the shortest-length legs is x/12.
Then:
12 x
----- = -----
18 12
... which, through cross- multiplication, becomes 18x = 144. Then x = 8 units
Jessica solved for the correct value of a, but Sally's review was incorrect.
