Answer:
Step-by-step explanation:
a)
p(d) - probability of a rivet being defective
p(r) - probability of seam needing to be reworked
The probability of the seem needing to be reworked is equal to the probability that ANY of 24 rivets is defective
Thus the probability that none of the 25 rivets is defective is 1-p(r)
p(r) = 16%, thus 1-p(r) = 84%
1-p(r) = (1-p(d))^24
0.84 = (1-p(d))^24
0.84^(1/24) = 1-p(d)
==> 1-p(d) = 0.9927615998
==> p(d) = 1-0.9927
==> p(d) = 0.0073
b) given p(r) = 8%, thus 1-p(r) = 92%
1-p(r) = (1-p(d))^24
0.92 = (1-p(d))^24
0.92^(1/24) = 1-p(d)
==> 1-p(d) = 0.99653179446
==> p(d) = 1-0.9965
==> p(d) = 0.0035
1/2 because he has 16 pieces gives 4/8 which is a half and therefore has a half left
Answer:
B. 21.1 yd
Step-by-step explanation:
The perimeter of the figure is the sum of all its three sides.
Take note that the dotted line is not a side length of the figure.
The side lengths are 9 yd, 5 yd, and 7.1 yd.
Therefore, the perimeter of the figure = 9 + 5 + 7.1
Perimeter = 21.1 yd.
Also, take note of the unit of the perimeter. Unit of the perimeter would not be squared. Only area has a unit that is squarred.
I believe the answer is 3.
If you would like me to show my work please reply saying so.
Sorry if I'm wrong, but I hope this helps.
4(3x - 6) +15 = 27
Distributive Property
12x + -24 + 15 = 27
Add the two constants (numbers without variables)
12x + -9 = 27
Because 9 is negative, add 9 to both sides.
12x = 36
Divide both sides by the coefficient (number with x)
x = 3
Answer:
Step-by-step explanation:
The vertex is halfway between focus and directrix, at (0,0).
The equation has the form y = ax².
Focal length p = distance between focus and vertex = 1
p = 1/|4a|
1 = 1/|4a|
|a| = ¼
The focus lies below the vertex, so the parabola opens downwards and a<0.
y = -¼x²
