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1 year ago

Find the mode: 16,12,10,15,7,916

Mathematics

1 answer:

Airida [17]1 year ago

4 0

The mode is the value from a given set of data that occurs most often. It is the data with the highest frequency.

Given:

16,12,10,15,7,9,16

Form the above data given;

Rearranging for easy identification, we have;

7,9,10,12,15,16,16

$\begin{gathered} 7\text{ appears once} \\ 9\text{ appears once} \\ 10\text{ appears once} \\ 12\text{ appears once} \\ 15\text{ appears once} \\ 16\text{ appears twice} \end{gathered}$

From the above, we can deduce that the mode is 16 because it appears the most often. It appears twice.

Therefore, the mode is 16.

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2 log x + log 11<br> WILL MARK BRAINLIEST

tester [92]

Answer:

$log(11 {x}^{2} )$

Step-by-step explanation:

$2logx + log11 \\ \\ = log {x}^{2} + log11 \\ \\ = log( {x}^{2} \times 11) \\ \\ = log(11 {x}^{2} )$

3 0

3 years ago

ANSWER FAST ITS URGENT

Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

${x}^{2} = {2}^{2} + {6}^{2}$

${x}^{2} = 4 + 36$

${x}^{2} = 40$

$x = \sqrt{40}$

$x = 6.3$

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

$n = 6 \sqrt{2}$

The hypotenuse can be found using Pythagoras Theorem.

${m}^{2} = {(6 \sqrt{2} )}^{2} + {(6 \sqrt{2} )}^{2}$

${m}^{2} = 36(4)$

$m = \sqrt{36 \times 4} = 6 \times 2 = 12$

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

$n = \frac{1}{2} (12) = 6$

and

$m = 6 \sqrt{3}$

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

${x}^{2} + {115}^{2} = {350}^{2}$

${x}^{2} = {350}^{2} - {115}^{2}$

${x}^{2} = 109275$

$x = \sqrt{109275} = 330.6 ft$

3 0

3 years ago

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

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:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

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

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

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.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

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

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

3 years ago

I have no idea how to do this someone help

vagabundo [1.1K]

Its absolute value so the negative on the inside would change to positive, so the answer would remain -7 and 3/5. same with the other one, except you multiply the 3 to the -1, making it -3

7 0

3 years ago

Right answer gets brainlist

Vladimir [108]

105 i think nvm not corrupted picture

4 0

3 years ago