Possibility 1: nondefective-defective-defective
possibility 2: defective-nondefective-defective
possibility 1: 8/10x 2/9 x 1/8 = 16/720=1/45
possibility 2: 2/10 x 8/9 x 1/8= 16/720=1/45
answer: 2/45
Answer:
t = r + 11
Step-by-step explanation:
t - 5 = r + 6 ( add 5 to both sides )
t = r + 11
Answer:
Account A = $ 96.80
Account B = $ 48.40
Step-by-step explanation:
Account A
Principal = $1,000
rate = 2.42% = 0.0242
time = 4 years
To find the interest we will use the formula :
I = PTR
I = 1000 x 4 x 0.0242
I = $96.80
Account B
P = 1,000
t = 24 months = 2 years
r = 2.42% = 0.0242
I = PTR
I = 1000 x 2 x 0.0242
I = $ 48. 40
difference in interest = Interest a - Interest b
difference = 96.80 - 48.40
difference = $ 48 . 40
The interest on Account A doubles the interest on Account B
(2^8x5^-5x19^0)^-2 x (5^-2/2^3)^4 x 2^28
(256x0.00032x1)^-2 x (0.04/8)^4 x 2^28
0.08192^-2 x 0.005^4 x 268,435,456
149.0116119384766 x 0.000000000625 x 268,435,456
0.000000093132257 x 268,435,456
= 25
Answer:
b. 5/√21
Step-by-step explanation:
The sine is positive in quadrant II, so the cosecant will be also. The sine function never has a magnitude greater than 1, so the cosecant function (the reciprocal of the sine) never has a magnitude less than 1.
The only positive number with a magnitude greater than 1 among your answer choices is 5/√21, selection B.
_____
If you draw the triangle with hypotenuse 5 and side 2 along the x-axis, you find the Pythagorean theorem tells you the opposite side (parallel to the y-axis) has length ...
... O = √(5² -2²) = √21
Then the sine ratio is ...
... Sin = Opposite/Hypotenuse = (√21)/5
The cosecant function is the reciprocal of the sine function, so its value is ...
... csc(θ) = 1/sin(θ) = 1/((√21)/5)
... csc(θ) = 5/√21
