Kyleigh put a rectangular sticker on her notebook.the hiegth of the sticker measures 18cm.the base is half as long as the height.what is the area of the notebook does the sticker cover

Answers

Answer 1

Answer: The sticker covers 162 square cm.

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Simplify. 4i√-24
Please and thank you!

Answers

The simplification of the given function as complex number would be -8√6 .

What is simplification of an expression?

Simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

We have been given a function as complex number that is 4i√-24

We can also write it as;

4i√24 √-1

= 4i√2³ 3 √-1

= 4i (2) √6 (i)

Then simplify;

= 4 2i² √6

= 8 (-1)√6

= -8 √6

Therefore, the simplification of the given function as complex number would be -8√6 .

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Answer:

$-8√(6)$

Step-by-step explanation:

$4i√(-24) \n\n=4i√(24) √(-1) \n\n=4i\sqrt{2^(3)*3 } √(-1) \n\n=4i(2)√(6) (i)\n\n=4*2i^(2) √(6) \n\n=8(-1)√(6) \n\n=-8√(6)$

There were 5,317 previously owned homes sold in a western city in the year 2000. The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881. If all possible simple random samples of size 100 are drawn from this population and the mean is computed for each of these samples, which of the following describes the sampling distribution of the sample mean? (A) Approximately normal with mean $206,274 and standard deviation $3,788
(B) Approximately normal with mean $206,274 and standard deviation $37,881
(C) Approximately normal with mean $206,274 and standard deviation $520
(D) Strongly right-skewed with mean $206,274 and standard deviation $3,788
(E) Strongly right-skewed with mean $206,274 and standard deviation $37,881

Answers

Approximately normal with mean is $206,274 and standard deviation is $3,788 and this can be determined by applying the central limit theorem.

Given :

There were 5,317 previously owned homes sold in a western city in the year 2000.
The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881.
Simple random samples of size 100.

According to the central limit theorem the approximately normal mean is $206274.

Now, to determine the approximately normal standard deviation, use the below formula:

$s =(\sigma )/(√(n) )$ ---- (1)

where 's' is the approximately normal standard deviation, 'n' is the sample size, and $\sigma$ is the standard deviation.

Now, put the known values in the equation (1).

$s = (37881)/(√(100) )$

s = 3788.1

$\rm s \approx 3788$

So, the correct option is A).

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Answer:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = (\sigma)/(√(n))$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Right skewed

Mean $206,274

Standard deviation $37,881.

Sample:

By the Central Limit Theorem, approximately normal.

Mean $206,274

Standard deviation $s = (37881)/(√(100)) = 3788.1$

So the correct answer is:

(A) Approximately normal with mean $206,274 and standard deviation $3,788

EXAMPLE: If the function f(x) = 2x==x+4 is restricted to a domain interval of
-4 sxs 4, is the domain over the interval continuous or discrete,
and what is the range of the function?

Answers

The range of the given function in interval notation is $2\le y\le6$ .

The given function is $f(x)=(1)/(2)x+4$ and the domain interval is $-4\le x\le4$ .

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

Substitute x=4 in the given function, we get

$f(4)=(1)/(2)*4+4$

$f(4)=6$

Substitute x=-4 in the given function, we get

$f(-4)=(1)/(2)*(-4)+4$

$f(4)=2$

So, the range is $2\le y\le6$

Therefore, the range of the given function is $2\le y\le6$ .

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Answer:b

Step-by-step explanation:

Which inscribed angles intercept arc RS?

Answers

Answer:

A. $\angle RPS$

C. $\angle SQR$

Step-by-step explanation:

We have been given a diagram of a circle and we are asked to find the inscribed angles which intercept arc RS.

Since we know that inscribed angles are formed by the intersection of two secant lines in the interior of a circle. The vertex of inscribed angles lies on the circle.

A. Upon looking at our diagram we can see that vertex of angle SQR lies on our given circle and intercepts to arc RS, therefore, option A is the correct choice.

B. We can see that vertex of angle RTS is not on the circle. Since inscribed angle is an angle with its vertex 'on' the circle, therefore, option B is not a correct choice.

C. We can see that vertex of angle RPS lies on our given circle and also intercept to arc RS, therefore, option C is the correct choice.

D. Angle RSP intercepts to arc RQP, therefore, option D is not a correct choice.

The answer is <RPS and <SQR for anyone else who needs the answer.

Help asap plsplspls!! :)

Answers

Answer:

1.7

Step-by-step explanation:

1 + 7/10

= 1 + 0.7

= 1.7

1.7 is the correct answer

Bridget was thinking of a number. Bridget doubles it, then adds 15 to get an answer of 16.4. What was the original number?

Answers

Answer: 0.7

Step-by-step explanation:

16.4 - 15= 1.4

1.4 ÷ 2= 0.7

Hope this helps :)

0.7 is the correct number:)

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