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2 years ago

How to solve two step inequalities

Mathematics

1 answer:

DENIUS [597]2 years ago

4 0

Answer:

Solving two step inequalities

Solving Two Step Linear Inequalities. To solve a two-step inequality, undo the addition or subtraction first, using inverse operations , and then undo the multiplication or division. The inverse operation of addition is subtraction and vice versa.

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If the atmospheric pressure at Mangamaunu Beach is 1000 millibars and we assume the general guideline that atmospheric pressure

Mashutka [201]

Answer:

Atmospheric Pressure = 739.2 millibars

Step-by-step explanation:

To answer this question one should assume that Mangamaunu Beach is at sea level ( altitude = 0 m) and that the summit of Manakau is at 2608 meters.

The change in atmospheric pressure with altitude in the first 5 km can be roughly represented by a linear relationship with slope "m" as follows

$(500-1000) = m(5000 - 0)\\m = -0.10$

Giving the following equation:

$(Pressure - 1000) = -0.10Height$

Applying for Height = 2608 m

$Pressure = -0.10(2608) + 1000\\Pressure = 739.2 millibars$

4 0

3 years ago

What is 24.357 in unit form

mr_godi [17]

(2x10)+(4x1)+(3x1/10)+(5x1/100)+(7x1/1000)
1/10,1/100,1000 are fractions

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3 years ago

Which of the following expressions is NOT equivalent to (x − 6)(x − 3)?

kodGreya [7K]

Answer:

B. x(x) + (−6)(−3)

NOT equivalent to (x − 6)(x − 3)

Step-by-step explanation:

(x − 6)(x − 3)

= x^2 - 3x - 6x + 18

= x^2 - 9x + 18

A. (6 − x)(3 − x)

= 18 - 6x - 3x + x^2

= 18 - 9x + x^2

= x^2 - 9x + 18 ---->equivalent to (x − 6)(x − 3)

B. x(x) + (−6)(−3) = x^2 + 18 ----> NOT equivalent to (x − 6)(x − 3)

C. x2 − 3x − 6x + 18 = x^2 - 9x + 18 --> equivalent to (x − 6)(x − 3)

D. x(x − 6) − 3(x − 6)

= x^2 - 6x - 3x + 18

= x^2 - 9x + 18 ---->equivalent to (x − 6)(x − 3)

4 0

3 years ago

What is one take away three fourths

MaRussiya [10]

Answer:

0.25

Step-by-step explanation:

6 0

2 years ago

(1 point) Suppose we want a 95% confidence interval for the average amount spent on books by freshmen in their first year at col

Ne4ueva [31]

Answer:

a) $n=(\frac{1.960(16)}{5})^2 =39.33 \approx 40$

So the answer for this case would be n=40 rounded up to the nearest integer

b) For this case if we see the formula for the margin of error

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

We can see that the margin of error is inversely proportional to the sample size so if we want a samller margin of error we need a LARGER sample

Answer: LARGER

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean

$\sigma=16$ represent the population standard deviation

n represent the sample size

Solution to the problem

Part a

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(16)}{5})^2 =39.33 \approx 40$

So the answer for this case would be n=40 rounded up to the nearest integer

Part b

For this case if we see the formula for the margin of error

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

We can see that the margin of error is inversely proportional to the sample size so if we want a samller margin of error we need a LARGER sample

Answer: LARGER

5 0

3 years ago