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1 year ago

The terminal side of an angle intersects the unit circle at point

Mathematics

1 answer:

julia-pushkina [17]1 year ago

5 0

Answer:

$- \frac{ \sqrt{2} }{2}$

Step-by-step explanation:

The sine of an angle is equal to the y coordinate point where the terminal side of the angle intersects the unit circle.

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The nicotine content in a single cigarette of a particular brand has a distribution with mean 0.4 mg and standard deviation 0.1

a_sh-v [17]

Answer:

Step-by-step explanation:

For this case we can define the random variable of interest as: "The nicotine content in a single cigarette " and for this case we know the following parameters:

$\mu = 0.4, \sigma = 0.1$

And for this case we select a sample size of n =100 and we want to find the following probability:

$P(\bar X$

And for this case we can use the z score formula given by:

$z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z= \frac{0.38-0.4}{\frac{0.1}{\sqrt{100}}}= -2$

And we can find the required probability with the normal standard table and we got:

$P(z$

8 0

3 years ago

Zoe's Fish tank holds 27 L of water she uses a 3L container to fill the tank how many times does she have to fill the three litt

Marianna [84]

<h2>Answer:</h2>

Zoe's Fish tank holds 27 L of water, so this is the capacity of the tank. On the other hand, Zoe uses a 3L container in order to fill the tank, so the question is how many times does she have to fill the three litter container in order to fill the fish tank? Let's solve this as follows:

First time:

She pours 3L

Second time:

She pours another 3L, but she previously poured 3L, so she has poured 6L

Third time:

She pours another 3L, but she previously poured 6L, so she has poured 9L

Fourth time:

She pours another 3L, but she previously poured 9L, so she has poured 12L

Fifth time:

She pours another 3L, but she previously poured 12L, so she has poured 15L

Sixth time:

She pours another 3L, but she previously poured 15L, so she has poured 18L

Seventh time:

She pours another 3L, but she previously poured 18L, so she has poured 21L

Eighth time:

She pours another 3L, but she previously poured 21L, so she has poured 24L

Ninth time:

She pours another 3L, but she previously poured 24L, so she has poured 27L

<em>According to this, she needs to pours the </em><em>3L </em><em>container nine times in order to fill the fish tank. This can also be solved dividing </em><em>27L/3L= 9</em>

4 0

3 years ago

A) A club is considering changing its bylaws. In an initial straw vote on the issue, 24 of the 40 members of the club favored th

lora16 [44]

Answer:

38,38,380

Step-by-step explanation:

GIVEN: A club is considering changing its laws. In an initial straw vote on the issue, $24$ of the $40$ members of the club favored the change and $16$ did not. A committee of six is to be chosen from the $40$ club members to devote further study to the issue.