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4 years ago

Choose the function whose graph is given by

Mathematics

2 answers:

NeTakaya4 years ago

8 0

Answer:

Option: A is the correct answer.

A. $y=4\sin(x+1)-2$

Step-by-step explanation:

By looking at the graph we observe that the maximum value of the function is 2 and the minimum value pf the function is: -6

Also the maximum value is obtained at

$y=4\cos(x-1)+2$

The maximum/minimum value of the function is obtained when the cosine function is maximum/minimum.

As we know that maximum value of cosine function is: 1

and minimum value of cosine function is: -1

Hence, we get maximum value of the given function is: 6

and minimum value of the given function is: -2

Hence, option: B is incorrect.

$y=6 \sin(x+1)-2$

The maximum/minimum value of the function is obtained when the sine function is maximum/minimum.

As we know that maximum value of sine function is: 1

and minimum value of sine function is: -1

Hence, we get maximum value of the given function is: 6-2=4

and minimum value of the given function is: -6-2= -8

Hence, option: C is incorrect.

$y=4\sin(x-1)-2$

The maximum/minimum value of the function is obtained when the sine function is maximum/minimum.

As we know that maximum value of sine function is: 1

and minimum value of sine function is: -1

Hence, we get maximum value of the given function is: 4-2=2

and minimum value of the given function is: -4-2= -6

Also, when x=1 we have:

y= -2

but at x=1 the value of the function is positive.

Hence, option: D is incorrect.

$y=4\sin(x+1)-2$

When we graph the function we see that it matches the given graph and hence, option: A is correct.

Ainat [17]4 years ago

7 0

a is the answer with the matching graph

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Two intelligent, honest students are sitting together at lunch one day when their math teacher hands them each a card. “your car

Lady bird [3.3K]

Answer: The loser's card shows 6.

Explanation: Let's start by naming the first student A and the second student B.
Since the product of A and B are either 12, 15, or 18, let's list every single possibility, the first number being A's number and the second number being B's number.

1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
4 3
5 3
6 2
6 3
9 2
12 1
15 1
18 1

Now, the information says that A doesn't know what B has, so we can immediately cross off all of the combinations that have the integer appearing once and once ONLY off, because if it happened once only, A would know of it straight away. Now, our sample space becomes much smaller.

1   12
1   15
1   18
2   6
2   9
3   4
3   5
3   6
6   2
6   3

Using this same logic, we know that we can cross off all of the digits that occur only once in B's column.

2   6
3   6

Now, A definitely knows what number B has because there is only one number left in B. Hence, we can conclude that the loser, B, has the integer 6.

4 0

4 years ago

PLEASE HELLPP!!!

Maslowich

Step-by-step explanation:

$13.3 + ( - 7) \\ 13.3 - 7 = 6.3$

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3 years ago

A withdrawal of $50 is negative or positive?

prisoha [69]

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8 0

3 years ago

Read 2 more answers

A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

8 0

3 years ago

4,400 X 400 = ( blank hundreds) X ( blank hundreds) = 176 hundreds, thousands, hundrenths, tenths, tens, ones, thousands, or tho

kiruha [24]

Hello There!

(44 hundreds) x (4 hundreds) = 176 tens thousands.

Hope This Helps You!
Good Luck :)

- Hannah ❤

5 0

3 years ago