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frutty [35]
3 years ago
11

Simplify the following expression

Mathematics
1 answer:
Kay [80]3 years ago
6 0

Answer:

\frac{98p^{6}}{q}

Step-by-step explanation:

Distribute the exponents

(\frac{(7^{-2}p^{-6}q^{-8})}{2q^{-9}} )^{-1}

(\frac{q}{98p^{6}} )^{-1}

Distribute the -1

\frac{98p^{6}}{q}

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What percentage of the data values represented on a box plot falls between the minimum value and the lower quartile?
Butoxors [25]

Answer:

first 25%

Step-by-step explanation:

A quartile is a quarter, so the first 25% falls between the minimum and lower quartile

4 0
3 years ago
Read 2 more answers
Please help! I don't understand how to solve this problem
Ilia_Sergeevich [38]

Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

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

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

Assuming an uniform distribution, the standard deviation is given by:

S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The sample size is found solving for n when the margin of error is of M = 0.006, hence:

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

0.006 = 1.96\frac{1.1547}{\sqrt{n}}

0.006\sqrt{n} = 1.96 \times 1.1547

\sqrt{n} = \frac{1.96 \times 1.1547}{0.006}

(\sqrt{n})^2 = \left(\frac{1.96 \times 1.1547}{0.006}\right)^2

n =  142,282.

A sample of 142,282 should be taken, which is not practical as it is too large of a sample.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
1 year ago
Graph the points (0,-2), (4,0) and (2,0). If you want to create a parallelogram, which of the following points should used for t
MariettaO [177]

( 2 , - 2 )

................

................

................

8 0
2 years ago
If n = 13, then P(t &gt; 2.2) &lt; 0.025<br> True or false
Sergeu [11.5K]

Answer:

true

Step-by-step explanation:

6 0
3 years ago
The Yu family and the Sainz family went on vacation together and each family leased a car. The leasing company charged a flat re
Dafna11 [192]

Answer:

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Step-by-step explanation:

Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.

Let flat rental fee be c and cost per mile driven = m and miles driven = x

Total cost =y

Then y = mx+C is the linear equation.

to find m and c, we use the fact that y =110.30 when x = 222

i.e. 110.30 = c+222x

and similarly 99.05 = c+147x

Subtract to eliminate c

11.25 = 75 x

0.15 =x

Substitute in I equation

110.30 = c+222(0.15)

c = 77

Hence y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

7 0
3 years ago
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