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Sergeeva-Olga [200]

2 years ago

12

a rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit.how many 1/4 unit cubes do

es it take to fill the prism

1 answer:

Anvisha [2.4K]2 years ago

8 0

Answer:

12

Step-by-step explanation:

3 divided by 1/4 = 3 x 4 = 12

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Parallel, Perpendicular<br>Or Neither<br><br>Y = 3x + 1<br>6x - 2y = 10

valentina_108 [34]

Since the new slope would be calculated to -3, the equations are neither parallel or perpendicular in accordance to each other.

4 0

3 years ago

Which expression is positive

kumpel [21]

Answer:

I would say none of the above

Step-by-step explanation:

When you evaluate A & B they both give you negatives So C

Good luck on Khan academy ;)

8 0

2 years ago

Read 2 more answers

The mean waiting time at the drive-through of a fast-food restaurant from the time the food is ordered to when it is received is

alexira [117]

Answer:

a) And if we replace we got: $\bar X= 78$

$s = 15.391$

b) $78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

Step-by-step explanation:

Dataset given: 109 67 58 76 65 80 96 86 71 72

Part a

For this case we can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got: $\bar X= 78$

And the deviation is given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 15.391$

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that $t_{\alpha/2}=3.25$

Now we have everything in order to replace into formula (1):

$78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

8 0

2 years ago

Answer to this math question

gladu [14]

Answer:

$4\frac{2}{3}$

Step-by-step explanation:

This is a recurring decimal.

Let x = 4.666666... ⇒ (1)

10x = 46.66666... ⇒ (2)

Subtract equation (1) from equation (2)

10x = 46.66666..

-<u> x = 4.666666... </u>

<u> 9x = 42.0000.....</u>

<u />

9x = 42

x = 42/9

= 14/3

= $4\frac{2}{3}$

5 0

3 years ago

Nastasia [14]

Answer: The answer is D

Step-by-step explanation: 12x means 12 times x, which means her age is 12 times her brother's age.

5 0

2 years ago