For full circle area is π * R² [here R = radius],
for a sector of circle with angle β, area will be = (β/2) * R², β is in radian,
here let β = 22.5° = (π * 22.5/180) = π/8 radian,
now [(π/8)/2] * R² = 9π, [π/16] * R² = 9π
R² = 9 * 16 = 144,
R = √144 = 12 m
For question 7, if we add all votes for tiger and eagle, we get
tiger = 14 + 13 + 8 + 5 = 40
eagle = 6 + 7 + 12 + 15 = 40
so choices A and B are wrong.
C is also wrong because fifth and sixth grade votes for eagle are 6 + 7 = 13 and the 5th and 6th grade votes for tiger are 14 + 13 = 27. clearly 5th + 6th like tiger more.
D is the answer for question 7
question 8
rolling a cube does not affect the other cube so it is all independent probability.
cube: 1 2 3 4 5 6
3 even numbers and 3 odd numbers
so probability of rolling an even number is
1/6 + 1/6 + 1/6 = 3/6 = 1/2
multiplying by total number of rolls, she will get even numberss
300 * 1/2 = 150
about 150 time.
so half of the time, Cassie will roll and even number about half the number of rolls. never exactly since this is all probability. more likely for it to be around 150 times than exactly 150 time.
choice C is answer for question 8
Answer:
(a)
1 sig: 0.005
2 sig: 0.0048
3 sig: 0.00482
(b)
1 sig: 50
2 sig: 50.
3 sig: 50.0
(c)
1 sig: 0.0010
2 sig: 0.00098
3 sig: 0.000981
Step-by-step explanation:
Significant Figures Rules:
- Any non-zero digit is significant.
- Any trailing zeros after the decimal is significant.
- Any zeros between 2 significant digits are significant.
- Zeroes before significant numbers in the decimal place are NOT significant; they are placeholders.
(a)
0.004816 - the zeros are placeholders, so they do not count as sig figs.
(b)
50.00168 - the zeros are between 2 significant figures, so they do count as sig figs.
(c)
0.0009812 - the zeros are placeholders, so they do not count as sig figs
Answer:
or 2/3
Step-by-step explanation:
because two flips out of 3 all together is 2/3
