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Taya2010 [7]
3 years ago
13

The length of one side of a cube is 9.5•10^-4m. What is the volume of the cube?

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0
The edge would be 9.5
The volume would be 857.38
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Can someone tell me the right answer to this question pls and thank you
Katena32 [7]

When it comes to graphing, Desmos is a lifesaver!

I believe its B

4 0
3 years ago
PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
ohaa [14]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

7 0
3 years ago
Use the FOIL method to find the product below. (x + 3)(x2 – 6x)
Phoenix [80]
(x + 3) • (2x - 6x)
collect like terms
(x + 3) • (-4x)
distribute -4x through the parentheses

Answer: -4x^2 - 12x

Hope this helps!
6 0
3 years ago
Solve using demoivres theorem
pashok25 [27]
It's difficult to make out, but I think the task is to expand

(\sqrt3-i)^4

Write the number in polar form first:

\sqrt3-i=2e^{-i\pi/6}

By DeMoivre's theorem, you have

(\sqrt3-i)^4=\left(2e^{-i\pi/6}\right)^4=2^4e^{-i4\pi/6}=16e^{-i2\pi/3}

and converting back to Cartesian form, this number is equivalent to

16\left(\cos\dfrac{2\pi}3-i\sin\dfrac{2\pi}3\right)=16\left(-\dfrac12+-\dfrac{\sqrt3}2\right)=-8(1+i\sqrt3)
3 0
3 years ago
Long division<br>algebra 2, help me. thanks
klemol [59]
To complete this algebra problem, just like any other, we have to complete the proper steps in order; here as follows.

1. <span><span>−<span>3<span>x^2 </span></span></span>+ <span>20x </span></span>− <span>12
         -------------
             x - 6


2. </span><span><span>(<span><span>−<span>3x </span></span>+ 2</span>) </span><span>(<span>x − 6</span><span>)
</span></span></span>         -----------
            x - 6


And finally..


You come up with the answer of:

-3x + 2

I hope this cleared up the little confusion you may have been having. If you need more information on the steps, just ask.


4 0
3 years ago
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