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Juliette [100K]
3 years ago
6

Help please and need to show the work!

Mathematics
1 answer:
Blababa [14]3 years ago
6 0

To find how many small cubes can fit inside a larger cube, you need to find the volume of both.

Once you have the volumes, divide the volume of the larger cube, by the volume of the smaller cube.

Volume = L x W x H

Small cube: Volume = 3/4 x 3/4 x 3/4 = 0.421875 cm^3

Large cube: Volume = 3 x 3 x 2 = 18 cm^3

Number of small cubes that can fit: 18 / 0.421875 = 42.67 Cubes.

Since you can't have a partial cube ( 0.67) round down to a whole number:

That means you can fit 42 cubes.

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An accounting firm is planning for the next tax preparation season. From last years returns, the firm collects a systematic rand
Elena L [17]

Answer:

a)From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

b) We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Part a

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

Part b

We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

4 0
3 years ago
Part 3. Identify the X intercepts for<br><br>y = (x+4)^2-9​
RSB [31]

Answer:

x = -1 or x = -7

Step-by-step explanation:

y = (x + 4)^2 - 9​

To find x-intercept, set y = 0

=>  (x + 4)^2 - 9​ = 0

=>  ( x + 1)( x + 7) = 0

=> x = -1 or x = -7

7 0
2 years ago
Read 2 more answers
How many calories are needed to raise the temperature of 10 grams of water by 10 degrees Celsius?
max2010maxim [7]
(B) 10 cal im pretty sure can i please have brainiest answer
4 0
3 years ago
Phillip rides his scooter to school in 6 2/5 minutes. It takes Joey 4 1/2 times as long to get to school. How long does it take
jolli1 [7]
Philip rides to school in 6 2/5 minutes.....it takes Joey 4 1/2 times as long...

4 1/2 * 6 2/5 = 
9/2 * 32/5 =
144/5 =
28 4/5 minutes <== Joey's time to get to school
5 0
2 years ago
The unit price is $2.50
makkiz [27]

Answer:

The answer is 3.

Step-by-step explanation:

If you divide 7.50 by 2.50, you get 3. Hope this helps! And have an amazing day!

8 0
2 years ago
Read 2 more answers
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