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4 years ago

Please HELP PICTURE SHOWN

Mathematics

1 answer:

Umnica [9.8K]4 years ago

6 0

Answer:

x<−3+√1012 or x>−3−√1012

Step-by-step explanation:

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What is the solution set of (3x - 1)2 = 5?

Virty [35]

The answer to (3x-1)2=5 is x= 7/6

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3 years ago

A manufacturer of college textbooks is interested in estimating the strength of the bindings produced by a particular binding ma

IrinaVladis [17]

Answer:

538 books should be tested.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?

n books should be tested.

n is found when $M = 0.08$

We have that $\sigma = 0.72$

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.08 = 2.575*\frac{0.72}{\sqrt{n}}$

$0.08\sqrt{n} = 2.575*0.72$

$\sqrt{n} = \frac{2.575*0.72}{0.08}$

$(\sqrt{n})^{2} = (\frac{2.575*0.72}{0.08})^{2}$

$n = 537.1$

Rounding up

538 books should be tested.

6 0

3 years ago

20% of x is 11. What is x?

ipn [44]

Answer:

Step-by-step explanation:

20% is the same as 1/5, so we can multiply 11 by 5:

11*5=55

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%2832%29%5E%7B1%2F5%7D" id="TexFormula1" title="(32)^{1/5}" alt="(32)^{1/5}" align="absmiddle"

lorasvet [3.4K]

Answer:

Step-by-step explanation:

${32}^{ \frac{1}{5} }$

$= \sqrt[5]{32}$

$= \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2}$

= 2 (Ans)

4 0

3 years ago

A teenage boy is 6 ft tall and casts a shadow of 8ft.What is the distance from the top of his head to the end of his shadow?

lisabon 2012 [21]

Answer:

10 feet

Step-by-step explanation:

This image forms a special right triangle: 3-4-5. This represents the ratios of the sides.

Multiplying 3-4-5 by 2, you get 6-8-10. 10 is the hypotenuse (the answer you want) and the only number not listed in the problem.

4 0

3 years ago

Read 2 more answers