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Blababa [14]
2 years ago
8

The radius of a circle is 8 miles. What is the area of a sector bounded by a 135° arc?

Mathematics
1 answer:
Jlenok [28]2 years ago
7 0

Answer:

13.5* pi sq miles

Step-by-step explanation:

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Average precipitation for the first 7 months of the year, the average precipitation in toledo, ohio, is 19.32 inches. if the ave
Colt1911 [192]
Part A:

The probability that a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:

P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \  \frac{a-\mu}{\sigma}\right)

Given that the average precipitation in Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that <span>a randomly selected year will have precipitation greater than 18 inches for the first 7 months is given by:

P(x\ \textgreater \ 18)=1-P(x\ \textless \ 18) \\  \\ =1-P\left(z\ \textless \ \frac{18-19.32}{2.44}\right) \\  \\ =1-P(z\ \textless \ -0.5410) \\  \\ =1-0.29426=\bold{0.7057}



Part B:

</span>The probability that an n randomly selected samples of a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:

P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \ \frac{a-\mu}{\frac{\sigma}{\sqrt{n}}}\right)

Given that the average precipitation in Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that <span>5 randomly selected years will have precipitation greater than 18 inches for the first 7 months is given by:

</span>P(x\ \textgreater \ 18)=1-P(x\ \textless \ 18) \\ \\ =1-P\left(z\ \textless \ \frac{18-19.32}{\frac{2.44}{\sqrt{5}}}\right) \\ \\ =1-P(z\ \textless \ -1.210) \\ \\ =1-0.1132=\bold{0.8868}
7 0
3 years ago
Lucy and Emily are racing with each other and Lucy is 90
Zina [86]

Using the <em>system of equation</em> created, Emily will catch up Lucy after 30 seconds

Given the Parameters :

  • Lucy's distance = 2t
  • Emily's distance = 5t

<u>We can set up an equation to represent the required scenario thus</u> :

Emily's distance = Lucy's distance + 90

5t = 2t + 90

We solve for t

<em>Collect like terms</em> :

5t - 2t = 90

3t = 90

Divide both sides by 3 to isolate t

t = 90/3

t = 30

Therefore, Emily will catch up with Lucy after 30 seconds

Learn more :brainly.com/question/13218948

8 0
2 years ago
HELP... and plz show work #wefailing #helpmepass 25+ points to the brainlest answer
Marianna [84]

Answer:

answer 1 b

Step-by-step explanation:

answer 2 d

8 0
3 years ago
Which algae are responsible for causing red tides that can kill thousands of fish?
Rudiy27
The answer is Pyrrophyta <span />
7 0
3 years ago
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What is the definition of a random sample
EleoNora [17]

Answer:

Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen

Step-by-step explanation:

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