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3 years ago

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Mathematics

1 answer:

Valentin [98]3 years ago

4 0

Answer:

The standard deviation of the set is: 1.5

Step-by-step explanation:

The actual standard deviation is 1.58... but to 1 decimal place it's 1.5

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Find the horizontal and vertical asymptotes of f(x). f(x) equals = StartFraction 6 x Over x plus 2 EndFraction 6x x+2 Find the

miss Akunina [59]

Answer:

The horizontal asymptote can be described by the line y = 6

The vertical asymptote can be described by the line x = -2

Step-by-step explanation:

* Lets the meaning of vertical and horizontal asymptotes

- Vertical asymptotes are vertical lines which correspond to the zeroes

of the denominator of a rational function

- A horizontal asymptote is a y-value on a graph which a function

approaches but does not actually reach

- If the degree of the numerator is less than the degree of the

denominator, then there is a horizontal asymptote at y = 0

- If the degree of the numerator is greater than the degree of the

denominator, then there is no horizontal asymptote

- If the degree of the numerator is equal the degree of the denominator,

then there is a horizontal asymptote at y = leading coefficient of the

numerator ÷ leading coefficient of the denominator

* Lets solve the problem

∵ $f(x)=\frac{6x}{x+2}$

∵ The numerator is 6x

∵ The denominator is x + 2

∴ The numerator and the denominator have same degree

∵ The leading coefficient of the numerator is 6

∵ The leading coefficient of the denominator is 1

∴ There is a horizontal asymptote at y = 6/1

∴ The horizontal asymptote can be described by the line y = 6

- Put the denominator equal zero to find its zeroes

∵ The denominator is x + 2

∴ x + 2 = 0

- Subtract 2 from both sides

∴ x = -2

∴ The vertical asymptote can be described by the line x = -2

6 0

3 years ago

Read 2 more answers

A doctor is measuring the mean systolic blood pressure of female students at a large college. Systolic blood pressure is known t

Nana76 [90]

Answer:

The correct option is (b).

Step-by-step explanation:

The (1 - α)% confidence interval for population mean (μ) is:

$CI=\bar x\pm z_{\alpha/2}\times\frac{SD}{\sqrt{n}}$

The confidence interval for population mean can be computed using either the z-interval or t-interval.

The t-interval is used if the following conditions are satisfied:

The population standard deviation is not known
The sample size is large enough
The population from which the sample is selected is normally distributed.

For computing a (1 - α)% confidence interval for population mean , it is necessary for the population to normally distributed if the sample selected is small, i.e.n < 30, because only then the sampling distribution of sample mean will be approximated by the normal distribution.

In this case the sample size is, n = 28 < 30.

Also it is provided that the systolic blood pressure is known to have a skewed distribution.

Since the sample is small and the population is not normally distributed, the sampling distribution of sample mean will not be approximated by the normal distribution.

Thus, no conclusion can be drawn from the 90% confidence interval for the mean systolic blood pressure.

The correct option is (b).

5 0

3 years ago

Which of the following is irrational? PLEASE HELP ASAP I WILL CRON BRAINLIEST

Sveta_85 [38]

Answer:

All of them are irrational except √9 which is rational.

Step-by-step explanation:

√5= 2.2606797749(irrational)

√9=3(rational) this one is rational

√7=2.64575131106(irrational)

√3.31662479035(irrational)

hope it helps.

7 0

3 years ago

A recipe uses 1/3 cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies?

Alenkinab [10]

Answer:

5/6 cups of sugar

Step-by-step explanation:

45 divided by 18 = 2.5

1/3 x 2.5 = 0.83

0.83 = 5/6 cups

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to 3(m − 3) + 4?

Elanso [62]

Answer:

3m − 5

Step-by-step explanation:

4 0

3 years ago