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3 years ago

Which expression represents 64

1 answer:

7 0

The answer is D. 2^6.

Because you re basically doing:

2*2*2*2*2*2

And if you multiply all of it, it will equal 64.

Hope this helps!

You might be interested in

Prove the polynomial identity.

Ronch [10]

Answer:

The answer to your question is: 2, 4, 5, 1 , 3

Step-by-step explanation:

The first line is the second

(3x² - 6)² - (3x²)² = 36(1 - x)(1 + 1)

The second line is the forth

9x⁴ - 36x² + 36x² - 9x⁴ = 36(1 - x)(1 + x)

The next line is the fifth

36 - 36x² = 36(1 - x)(1 + x)

The next line is the first

36(1 - x²) = 36(1 - x)(1 + x)

The last line is the third

36(1 - x)(1 + x) = 36(1 - x)(1 + x)

3 0

3 years ago

Read 2 more answers

An experiment to investigate the survival time in hours of an electronic component consists of placing the parts in a test cell

mixer [17]

Answer:

a) The sample mean is of 49 and the sample standard deviation is of 11.7.

b) The range of the true mean at 90% confidence level is of 9.62 hours.

c) The prediction interval, at a 90% confidence level, of it's failure time is between 39.38 hours and 58.62 hours.

Step-by-step explanation:

Question a:

Sample mean:

$\overline{x} = \frac{34+40+46+49+61+64}{6} = 49$

Sample standard deviation:

$s = sqrt{\frac{(34-49)^2+(40-49)^2+(46-49)^2+(49-49)^2+(61-49)^2+(64-49)^2}{5}} = 11.7$

The sample mean is of 49 and the sample standard deviation is of 11.7.

b)Determine the range of the true mean at 90% confidence level.

We have to find the margin of error of the confidence interval. Since we have the standard deviation for the sample, the t-distribution is used.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 2.0.150

The margin of error is:

$M = T\frac{s}{\sqrt{n}}$

In which s is the standard deviation of the sample and n is the size of the sample. So

$M = 2.0150\frac{11.7}{\sqrt{6}} = 9.62$

The range of the true mean at 90% confidence level is of 9.62 hours.

(c)If a seventh sample is tested, what is the prediction interval (90% confidence level) of its failure time.

This is the confidence interval, so:

The lower end of the interval is the sample mean subtracted by M. So it is 49 - 9.62 = 39.38 hours.

The upper end of the interval is the sample mean added to M. So it is 49 + 9.62 = 58.62 hours.

The prediction interval, at a 90% confidence level, of it's failure time is between 39.38 hours and 58.62 hours.

4 0

3 years ago

In rhombus ABCD, diagonals AC and BD meet at point E. If the measure of angle DAB is 46 degrees, find the length of EB.

Paladinen [302]

<span>There is no way to get an exact answer. It could be a really small rhombus, or a huge one, and still have a 46º angle there. You need at least one length of a segment.

Your problem could have errors that's why it can't be solved. You do not have to worry because it happens sometimes.

I hope it helps you.</span>

3 0

3 years ago

The area of a square is 75 inches squared. A student correctly wrote the length of each side of the square as a√3. What is the v

aev [14]

Answer: 5 in.

Step-by-step explanation:

Given

The area of the square is $75\ in.^2$