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2 years ago

Which function will have a y-intercept at -1 and an amplitude of 2?

Mathematics

2 answers:

Anna35 [415]2 years ago

6 0

The first and 3rd choices are just sin and cos waves, with amplitude of 1 .
So it has to be the 2nd or 4th choice.

The y-intercept is the point on the graph where x=0.
So if the y-intercept is -1, that just means that f(0)=-1 .
So let's test the two choices:

   f(x) = -2 sin(x) - 1

   f(0) = -2 sin(0) - 1
sin(0) = 0 so
   f(0) = -2 (0) - 1 .
That looks like it works.
Just to be sure, let's check the other possible choice.

f(x) = -2 cos(x) - 1

   f(0) = -2 cos(0) - 1

cos(0) = 1 so f(0) = -2 (1)    - 1 = -3 .

Beautiful ! The y-intercept of choice-2 is -1,
and the y-intercept of choice-4 is -3. The answer is choice-2.

baherus [9]2 years ago

5 0

Answer:

the answer is b

Step-by-step explanation:

Im just typing this so it knows that I properly explained

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A simple random sample of electronic components wil be selected to test for the mean lifetime in hours. Assume that component li

Serjik [45]

Answer:

189 components must be sampled.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.005 = 0.995$ , so Z = 2.575.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.

This means that $\sigma = 16$

How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?

n components must be sampled.

n is found when M = 3. So

$M = z\frac{\sigma}{\sqrt{n}}$

$3 = 2.575\frac{16}{\sqrt{n}}$

$3\sqrt{n} = 2.575*16$

$\sqrt{n} = \frac{2.575*16}{3}$

$(\sqrt{n})^2 = (\frac{2.575*16}{3})^2$

$n = 188.6$

Rounding up:

189 components must be sampled.

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3 years ago

The two triangles are similar. What is the value of x? Enter your answer in the box.

ra1l [238]

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2 years ago

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Kayla has a piece of blue ribbon that is 18.35 inches long and a piece of

tankabanditka [31]

Answer:

1.85

Step-by-step explanation:

20.2-18.35=1.85

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2 years ago

What is the value of x, the side length of the smallest square (please show work) Thanks!

Ratling [72]

Answer:

8 cm

Step-by-step explanation:

Ok lets on the biggest square we have 17 cm

17cm is the hypotenuse for the right triangle

The second largest's area is 225 cm^2

Sq root of 225 cm^2, is 15

To find x, lets plug the info we have to the pythagorean theorom

$a^2 + b^2 = c^2\\a^2 + 15^2 = 17^2\\a^2 + 225 = 289\\\\289 - 225 = a^2\\64=a^2\\a = 8 cm$

The side length of the smallest Square is 8 cm

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

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3 years ago

Find the probability of a least one birthday match among a group of 44 people.

Cerrena [4.2K]

Answer:

0.1137= 11.37%

Step-by-step explanation:

Assuming there are 365 days in one year and every people have 1 birthday, then the chance for two people to have the same birthday is 1/365 and the chance they are not is 364/365. We are asked the chance for at least one match among 44 people. The opposite of the condition is that we have 0 matches and easier to calculate. The calculation will be:

P(X>=1)= ~P(X=0) = 1

P(X>=1)=- P(X=0)

P(X>=1)=1 - (364/365)^44

P(X>=1)=1- 0.8862

P(X>=1)=11.37%

3 0

2 years ago