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2 years ago

Can anybody help me and explain how to calculate it?

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

7 0

Answer:

$\frac{\pi }{4}$

Step-by-step explanation:

1. note, that

$arcsin\frac{1}{2}=\frac{\pi}{6};arcsin\frac{\sqrt{2}}{2}=\frac{\pi}{4};arcsin1=\frac{\pi }{2};arcsin\frac{\sqrt{3}}{2}=\frac{\pi}{3}$

2. after the substitution:

$\frac{\pi}{6}+\frac{\pi }{4}- \frac{\pi }{2} + \frac{\pi }{3}=\frac{\pi }{4}.$

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Flight 202's arrival time is normally distributed with a mean arrival time of 6:30 p.m. and a standard deviation of 15 minutes.

natta225 [31]

Answer:

The probability is 0.0015

Step-by-step explanation:

We know that the mean $\mu$ is:

$\mu=6:30\ p.m$

The standard deviation $\sigma$ is:

$\sigma=0:15\ minutes$

The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

We seek to find

$P(x>7:15\ p.m.)$

The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{7:15-6:30}{0:15}$

$Z=\frac{0:45}{0:15}$

$Z=3$

The score of Z = 3 means that 7:15 p.m. is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x>7:15\ p.m.)=P(Z>3)=0.0015$

3 0

3 years ago

Select all of the following that are equivalent to 1/8

kykrilka [37]

Answer:

4/8: 1/2 or/and 50%

2/8: 1/4 or/and 25%

6/8: 3/4 or/and 75%

Hope this helps!

6 0

2 years ago

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 2 cubic feet per minute. The dia

stellarik [79]

Using implicit differentiation, it is found that the height of the pile is changing at a rate of 0.1415 feet per minute when the pile is 2 feet high.

The height of the pile is changing at a rate of 0.1415 feet per minute when the pile is 2 feet high.

6 0

2 years ago

Find the distance between the two points rounding to the nearest tenth (if necessary).

Genrish500 [490]

Answer:

13 units

Step-by-step explanation:

(-1,5) and (4, -7)

To find the distance of two points, we use the distance formula:

$d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }$

Let's plug in what we know.

$d = \sqrt{(4 - (-1))^2 + (-7 - 5)^2 }$

Evaluate the double negative.

$d = \sqrt{(4 +1))^2 + (-7 - 5)^2 }$

Evaluate the parentheses.

$d = \sqrt{(5)^2 + (-12)^2 }$

Evaluate the exponents.

$d = \sqrt{(25) + (144) }$

Add.

$d = \sqrt{(169) }$

Evaluate the square root.

$d = 13$

13 units

Hope this helps!

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3 years ago

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2 years ago

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Can anybody help me and explain how to calculate it?​

Can anybody help me and explain how to calculate it?