Answer:
yes
Step-by-step explanation:
sin 30 = 0.5
sin-1 = 30
1.
a. there are 16 nickels so circle 12
b. 12 times 5= 0.60
2.
a. 12 dimes
b. there are 12 dimes so circle 10 (1.00)
3.
a. 10 quarters
b. circle 6 quarters (0.70)
Answer:
"2.660503478" would be the right answers to the key statement.
Step-by-step explanation:
Drawing 5 balls out of 69 can be done in (
)
= ![\frac{69\times 68\times 67\times 66\times 65}{5!}](https://tex.z-dn.net/?f=%5Cfrac%7B69%5Ctimes%2068%5Ctimes%2067%5Ctimes%2066%5Ctimes%2065%7D%7B5%21%7D)
Drawing 1 ball out of 26 red balls can be done in (
)
= ![26](https://tex.z-dn.net/?f=26)
Then the chance of drawing 5 out of 69 balls including 1 out of 26 red balls and then both matching the jackpot
= ![\frac{1}{11238513\times 26}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B11238513%5Ctimes%2026%7D)
= ![\frac{1}{292201338}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B292201338%7D)
Since the sum of the jackpot is $193-106 and then one ticket costs $2, the estimated value of buying one ticket again for jackpot is $2.
= ![\frac{1}{292201338}\times 193\times 10^6+\frac{292201338-1}{292201338}\times 2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B292201338%7D%5Ctimes%20193%5Ctimes%2010%5E6%2B%5Cfrac%7B292201338-1%7D%7B292201338%7D%5Ctimes%202)
= ![2.660503478](https://tex.z-dn.net/?f=2.660503478)
Answer:
39 ft²
Step-by-step explanation:
Area of a triangle = 1/2bh
Let:
base = b = 4 ft
height = h = 3 ft
Solve for the area of the triangle:
A = 1/2(4)(3)
A = 2 * 3
A = 6 ft²
Area of a rectangle = bh
Let:
base = b = 9 ft
height = h = 5 ft
Solve for the area of the rectangle:
A = (9)(5)
A = 9 * 5
A = 45 ft²
Subtract the area of the triangle from the area of the rectangle:
45 - 6 = 39 ft²
39 ft² is your answer.
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