Answer:756
Step-by-step explanation:6(121)+30
121 because 2025-1904=121 numbers of years in between
Answer: 33
Step-by-step explanation: When a tangent and radius intersect (as in the diagram) they will always be perpendicular. And using the Triangle Sum Theorem that all angles add up to 180 when get that m<BCA must be 33 degrees.
Answer:
(2, 5)
Step-by-step explanation:
Let the number of fancy throw pillows be x.
Let the number of plain throw pillows be y.
Hope spent a total of $131 on 7 throw pillows.
Fancy throw pillows cost $28 and plain throw pillows cost $15.
These imply two things:
x + y = 7 _______ (1)
28x + 15y = 131 ___(2)
We have a linear system of equations.
From (1):
x = 7 - y
Substitute the value of f into (2):
28(7 - y) + 15y = 131
196 - 28y + 15y = 131
196 - 13y = 131
=> 13y = 196 - 131
13y = 65
y = 65 / 13
y = 5
This means that:
x = 7 - 5 = 2
Hope bought 2 fancy throw pillows and 5 plain throw pillows
Answer:
50
Step-by-step explanation:
and can be expressed in complex form, with = i
= = × = 8i
= = × = 4i
the factors can then be expressed as
(6 + 8i)(3 - 4i) ← expand using FOIL
= 18 - 24i + 24i - 32i² [ i² = ( )² = - 1 ]
= 18 - 24i + 24i + 32 ← collect like terms
= 18 + 32 + 0
= 50
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