Evaluate 0! + 1!. 0 1 2
2 answers:
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Answer:
- 9.6
- 11.2
Step-by-step explanation:
It is useful to label the diagram so we can talk about the parts. (See the attachment.)
AB and CD are parallel lines, crossed by transversal AE. So, angles FAE and CDE are congruent. These are acute angles in a right triangle, so the triangles AFD and DEC are similar by the AA postulate.
This similarity means that corresponding sides are proportional:
CE/CD = DF/DA
CE = CD(DF/DA) = 16(6/10) = h
h = 9.6
__
The second problem is identical to the first, but with different numbers.
CE = CD(DF/DA) = 14(8/10) = h
h = 11.2
Answer:
Step-by-step explanation:
Let be the number of gallons so
is the number of miles traveled per
gallons.
We know for our problem that Brian's car gets 25 miles per gallon. Since the gallons is represented by , his car will travel a total distance of 25g (where g is the number of gallons.
We also know that the total distance is given by , so we can put the two expressions together to get our function:
Let's check:
- If he uses 1 gallon (g=1), so
miles
He will travel 25 miles with one gallon.
- If he uses 2 gallons (g=2), so
He will travel 50 miles with two gallon.
1. μ = 306,500
2.σ = 24,500
3. n = 150
4. μ = $306,500
5. σ = $2000
The standard deviation serves as a gauge for the degree of variation or dispersion among a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the mean of the collection.
With a standard deviation of $24,500 and an average mortgage debt of $306,500, Americans have a median mortgage debt.
<h3>According to the given information:</h3>The population's average is
μ = 306,500
Standard deviation for the general population is
σ = 24500
Imagine 150 Americans are chosen at random for the sample.
n= 150
The sample mean is roughly normally distributed as a result of the high sample size, which is supported by the central limit theorem.
The population mean and sample mean would be the same,
μ = μ =306,500
Here is how to calculate the sample standard deviation:
the sample size is n, and is the population standard deviation.
The necessary conditions are thus:
1. μ = 306,500
2.σ = 24,500
3. n = 150
4. μ = $306,500
5. σ = $2000
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I understand that the question you are looking for is :
A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to compare the typical mortgage owed by their clients against other homebuyers. The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500. Suppose a random sample of 150 Americans is selected. Identify each of the following, rounding your answers to the nearest cent when appropriate:
1.