Answer:
Step-by-step explanation:
The formula for finding equation of line when a point and a slope is given is :
substituting into the formula , we have
=
Answer:
Step-by-step explanation:
The parent function in this case is . In this case, the function has shifted to the left 3 units and down 5 units.
If we want to shift it horizontally, we must add it within the function. To move to the right, we must subtract within the function, and to move to the left, we must add within the function
Thus we get so far
To shift vertically, we must add to the whole function to move up and to subtract from the whole function to move down
Thus we get the answer
Hope that helps!
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
Answer:
1
Step-by-step explanation:
note that i = , thus
i² = ( )² = - 1
= i² × i² = - 1 × - 1 = 1
Let s be the soda and h be the hot dogs ,there are two equations here. By the problem s+h =161 s= h+43 ∴2h+43=161 so h=161-43/2 =59 so he sold 59 hot dogs and 59+43 =102 sodas.