Answer:
The function role is +2 for x, and -1 for y.
Step-by-step explanation:
The reason for my answer is because as you can see on the table;
For X, it starts at 0 and counts up by 2. For Y, it starts at 2 and counts back by 1.
Answer:
∠A = 107
∠B = 73
Step-by-step explanation:
∠A , ∠B are supplementary. So, ∠A + ∠B = 180
5x + 27 + 5x - 7 = 180
5x + 5x + 27 - 7 = 180 {Combine like terms}
10x + 20=180
10x = 180 -20
10x = 160
x = 160/10
x = 16
∠A = 5x + 27 = 5*16 + 27 = 80 + 27 = 107
∠B = 5x - 7 = 5*16 - 7 = 80 - 7 = 73
Mean = 0.497 in, SD = 0.003 in
Required diameter ranges between 0.496 in and 0.504 in
Anything other diameter obtained is not acceptable.
That is;
P(x<0.496) and P(x>0.504) are not acceptable.
Now,
P(x<0.496) = P(Z< (0.496-0.497)/0.003)) = P(Z<-0.33)
From Z tables, P(Z<-0.33) = 0.3707
Similarly,
P(x>0.504) = P(Z> (0.504-0.497)/0.003)) = P(Z>2.33)
From Z tables, P(Z>2.33) = 1-0.9901 = 0.0099
Therefore, unacceptable proportion = P(x<0.496)+P(x>0.504) = 0.3707+0.0099 = 0.3806 or 38.06%
9514 1404 393
Answer:
Step-by-step explanation:
Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...
ΔABC ~ ΔPQR by AA similarity
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The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.
PQ = 2·AB = 2·4 = 8
PR = 2·AC = 2·7 = 14
The side lengths of interest are ...
PQ = 8, PR = 14
