In normal distributions, the 95th percentile means that a value exists within 2 standard deviations of the mean.
The mean is 175 Lbs and SD is 15 Lbs. This means that Harvey's weight will be within 2 standard deviations (each way) of the mean. I.e. his weight will be in the range 145 - 205 Lbs.
Answer: 1/1024
Step-by-step explanation:
When a fair coin is flipped the coin would show either head or tail meaning only 2 outcomes are possible. So, getting an head means 50% chance or 1/2 chance.
Now, it means chance for 10 times head every time= (1/2)^10
Chance= 1/1024
Chance= 0.00097
The correct answer for the question that is being presented above is this one:
We want to pull 11 (this means not including 12) or less from the bag and there are 100 possibilities
= 11/100
So the probability is <span>11/100</span>
Answer:
7. 1520.53 cm²
8. 232.35 ft²
9. 706.86 m²
10. 4,156.32 mm²
11. 780.46 m²
12. 1,847.25 mi²
Step-by-step explanation:
Recall:
Surface area of sphere = 4πr²
Surface area of hemisphere = 2πr² + πr²
7. r = 11 cm
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)
8. r = ½(8.6) = 4.3 ft
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)
9. r = ½(15) = 7.5 m
Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)
10. r = ½(42) = 21 mm
Plug in the value into the formula
Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44
= 4,156.32 mm²
11. r = 9.1 m
Plug in the value into the formula
Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15
= 780.46 m²
12. r = 14 mi
Plug in the value into the formula
Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75
= 1,847.25 mi²