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Amanda [17]
3 years ago
7

The volume of a cylinder with a circular base with a radius of 2 meters and prism height of 5 meters is

Mathematics
1 answer:
scZoUnD [109]3 years ago
4 0

Answer:

62.8 m^{3} ; if you use 3.14 for pi

Step-by-step explanation:

The volume of a cylinder is v = \pi r^{2} h

\pi is 3.14, the radius is 2, and the height is 5

3.14 times 2 squared times 5 is 62.8

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A 5-digit combination lock with digits 0-9 can be opened only if a correct combination of digits is chosen. Find the probability
stepladder [879]

A. 5 digit code with digits from 0-9 with no repetition.

Choices for 1st digit=10, and choices for successive digits are 9,8,7,6.

Probability of guessing it correctly on first try is

1/(10*9*8*7*6) = 1/30240

B. If zero is not in the combinations, then the domain of digits is 1-9, or 9 choices. Digits can repeat means every digit in the code has 9 choices.

Number of arrangements = 9^5 = 59049

Probability of guessing at first try = 1/59049

3 0
3 years ago
Read 2 more answers
The mean salary of actuaries is LaTeX: \mu=\$100,000????=$100,000 and the standard deviation is LaTeX: \sigma=\$36,730????=$36,7
krek1111 [17]

Answer:

The lower limit of 95% confidence interval is 99002.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $100,000

Sample mean, \bar{x} = $111,000

Sample size, n = 36

Alpha, α = 0.05

Population standard deviation, σ = $36,730

First, we design the null and the alternate hypothesis

H_{0}: \mu = \$100,000\\H_A: \mu \neq \$100,000

We have to find the lower limit of the 95% confidence interval.

95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

111000 \pm 1.96(\dfrac{36730}{\sqrt{36}} )\\\\ = 111000 \pm 11998.4667 \\= (99001.5333,122998.4667)\\ \approx (99002,122999)

The lower limit of 95% confidence interval is 99002.

6 0
4 years ago
4. Isabelle takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee o
iren [92.7K]

Answer:

6 times.

Exclamation:

You can do 15 divided by 2,50 to get you answer, when you do that you get 6.

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

- •Trix•

( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

8 0
3 years ago
Which of the following is an example of the associative property?
Mashutka [201]
Associative property is when you move the grouping symbols: ( and )
So the answer is B.
6 0
3 years ago
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Reflection across the x-axis M(0,-1) S(3,2) Q(5,-3)
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