Okay...so since 90 degrees out of 360 is taken out that means that the hemisphere is only 250 degrees. That's only 3/4 of a hemisphere. So, you need to find the volume of the hemisphere as if it were a sphere. Then, you divide that by 2 to get the volume of the hemisphere. Then, you multiply it by 3/4 to get the volume of your sliced hemisphere.
Answer:
2162.2 degrees Celsius
Step-by-step explanation:
Celsius (°C) = (Fahrenheit - 32) / 1.8
3924-32 = 3892
3982 / 1.8 = 2162.2222222222222222222222
Rounded is 2162.2
Answer:
The probability that the intersection will come under the emergency program is 0.1587.
Step-by-step explanation:
Lets divide the problem in months rather than in years, because it is more suitable to divide the period to make a better approximation. If there were 36 accidents in average per year, then there should be 3 accidents per month in average. We can give for the amount of accidents each month a Possion distribution with mean 3 and variance 3.
Since we want to observe what happen in a period of one year, we will use a sample of 12 months and we will take its mean. We need, in average, more than 45/12 = 3.75 accidents per month to confirm that the intersection will come under the emergency program.
For the central Limit theorem, the sample mean will have a distribution Normal with mean 3 and variance 3/12 = 0.25; thus its standard deviation is √0.25 = 1/2.
Lets call the sample mean distribution X. We can standarize X obtaining a standard Normal random variable W with distribution N(0,1).

The values of
, the cummulative distribution function of W, can be found in the attached file. We are now ready to compute the probability of X being greater than 3.75, or equivalently, the probability than in a given year the amount of accidents is greater than 45, leading the intersection into an emergency program

Answer:
The bakery baked 11,932 sugar cookies.
Explanation:
628 trays x 19 cookies = 11,932 cookies
They also baked 35,600 chocolate chip cookies. The total of BOTH cookies baked is 47,532. Hope this helped! ^^
Step-by-step explanation:
60% of 20 = 12