Answer:
7^8
Step-by-step explanation:
when multiplying exponents with the same base, you add the exponents together to get your answer. you can even check it with a calculator.
To solve this problem, we make use of the formula of
combination.
nCr = n! / r! (n – r)!
where n is the total number of subject teachers and r is
the number of subjects r = 1
For the English class n = 3
3C1 = 3! / 1! (3 – 1)! = 3
For the Algebra class n = 4
4C1 = 4! / 1! (4 – 1)! = 4
For the Biology class n = 2
2C1 = 2! / 1! (2 – 1)! = 2
The total number of different schedules would be the
product of the three combinations:
total combinations possible = 3 * 4 * 2
total combinations possible = 24
Answer: 42/11 = 21/5.5
Step-by-step explanation:
1) Since the hypotenuse is 42 for one of the triangles it must be similar to the other triangles hypotenuse, 11.
2) Therefore, the ratio is 42/11.
3)The adjacent sides to the right angle are 21 and 5.5.
4)Therefore, the ratio is 21/5.5
Answer: The 95% confidence interval will be wider.
Step-by-step explanation:
Confidence interval for population proportion is written as
Sample proportion ± margin of error
margin of error = z score × √pq/n
The z score is determined by the confidence level. The z score for a confidence level of 95% is higher than the z score for a confidence level of 90%
This means that with all other things being equal, a 95% confidence level will give a higher margin of error compared to a 90% confidence level.
The higher the margin of error, the wider the confidence interval. Therefore,
The 95% confidence interval will be wider.
<span>height: h=V/w/(9w)= V/(9w^2)
surface area: w*9w+ h*(20w)= 9w^2 + 20wV/(9w^2) = 9w^2 + 20/9 V/w
minimum at:
w = cube root of (10/81 V)
dimensions:
w, 9w, V/(9w^2)</span>
