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castortr0y [4]
3 years ago
9

Simplify the expression (70 points)

Mathematics
2 answers:
Fudgin [204]3 years ago
7 0

Solution:

<u>Step-1: Combine like terms.</u>

<u />4x - 7 - 15x + 9

<u />x(4 - 15) + (-7 + 9)

<u>Step-2: Simplify the expression.</u>

<u />x(-11) + (2)

<u />\bold{-11x + 2}

The simplified expression is <u />\bold{-11x + 2}.

spayn [35]3 years ago
3 0

Answer:

-11x +2

Step-by-step explanation:

1. Add:

4x-7 - 15x + 9

4x + 2 - 15x

2. Combine like terms:

4x +2 - 15x

-11x +2

Bye, have a great day/night.

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Which of the following options is a 3rd degree polynomial with exactly 1 real
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A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. The number of subjects needed to estima
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Answer:

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So the answer for this case would be n=65 rounded up to the nearest integer

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Step-by-step explanation:

1) 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.

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\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

ME represent the margin of error

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Assuming that the deviation is known we can express the margin of error is given by this formula:

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

And on this case we have that ME =\pm 3 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)

Replacing into formula (b) we got:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

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And the sample size would decrease by 160-65=95 subjects

8 0
3 years ago
Solve equation 1/4=x^-1/2
Alex

Answer:

A. {16}

Step-by-step explanation:

1/4 = x^-1/2

We have the exponent rule a^-1 = 1/a^1

Applying the rule, we get

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x^1/2 = √x

1/4 = 1/√x

Now let's cross multiplying, we get

√x  = 4

Taking square on both sides, we get

x = 16

The answer: A. {16}

Hope this will helpful.

Thank you.

3 0
3 years ago
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