A large cube has 5 layers, each with 5 rows of 5 small cubes. How many small cubes will the larger cube contain? Explain Please

Deffense [45]

Answer: Not safe

Step-by-step explanation:

Let the angle of elevation of the ramp be θ, then:

$\begin{aligned}&\sin \theta=\frac{1.5}{10}=0.15 \\&\theta=\sin ^{-1}(0.15) \approx 8.63^{\circ}\end{aligned}$

But the maximum angle for the ramp cannot exceed 7.1°. The calculated angle of elevation will make it difficult, if not impossible, for motorized wheelchairs to get up the ramp.

Therefore, the ramp at the local library is not safe for motorized wheelchairs

5 0

2 years ago

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and

Naddika [18.5K]

Answer:

Using a 90% confidence level

A. A sample size of 68 should be used.

B. A sample size of 98 should be used.

Step-by-step explanation:

I think there was a small typing mistake and the confidence level was left out. I will use a 90% confidence level.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

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

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

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. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 72 seconds, what sample size should be used?

We have the standard deviation in minutes, so the margin of error should be in minutes.

72 seconds is 72/60 = 1.2 minutes.

So we need a sample size of n, and n is found when M = 1.2. We have that $\sigma = 6$ . So

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

$1.2 = 1.645*\frac{6}{\sqrt{n}}$

$1.2\sqrt{n} = 6*1.645$

$\sqrt{n} = \frac{6*1.645}{1.2}$

$(\sqrt{n})^{2} = (\frac{6*1.645}{1.2})^{2}$

$n = 67.65$

Rounding up.

A sample size of 68 should be used.

B. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used?

Same logic as above, just use M = 1.

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

$1 = 1.645*\frac{6}{\sqrt{n}}$

$\sqrt{n} = 6*1.645$

$(\sqrt{n})^{2} = (6*1.645)^2$

$n = 97.42$

Rounding up

A sample size of 98 should be used.

3 0

3 years ago

A line intersects the points (0,-4) and (1,2) what is the slope intercept equation for this line?

agasfer [191]

Answer:

$y=6x-4$

Step-by-step explanation:

First we have to know how to write a equation in Slope-Intercept Form!

Slope-Intercept Form: $y=mx+b$

where y = y axis, m = slope, x = x intercept and b = y-intercept

Now start by solving the slope

To find the Slope, you must find two points

Two points will be: $(0,-4)$ and $(1,2)$

Then use the Slope-Formula to identify the slope

$m=slope$

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{2--4}{1-0}$

$m=\frac{6}{1}$

$m=6$

The Slope is 6

The y-intercept is already given by the point (0, -4)

Note: (this goes to this situation because the point has a 0 of x intercept)

doomdabomb: "I decided to answer this for fun just to earn some points but if you want you can take a look at this beautiful answer that i just made"

5 0

3 years ago

Two trapezoids have areas 54 cm2 and 24 cm2. Find their ratio of similarity.

malfutka [58]

$\bigg( \dfrac{Length_1}{Length_2} \bigg)^ 2 = \dfrac{Area_1}{Area_2}$

$\bigg( \dfrac{Length_1}{Length_2 }\bigg )^ 2 = \dfrac{54}{24}$

$\dfrac{Length_1}{Length_2} = \sqrt{\dfrac{54}{24} }$

$\dfrac{Length_1}{Length_2} = \sqrt{\dfrac{9}{4} }$

$\dfrac{Length_1}{Length_2} = \dfrac{3}{2}$

$\text {Ratio of similarity of the two trapeziums =} 3 : 2$

7 0

3 years ago

If I add 2 tablespoons of sugar to each cup of coffee, what is the ratio of sugar to coffee?

Gemiola [76]

For any amount of pure Coffee (no milk), you can put 39 grams of sugar or nearly 10 teaspoons of sugar, as Coffee has no sugar in it. 30ml is a standard espresso size so to be equivalent per ml of liquid you would need to put 3.1 grams of sugar which is less than a teaspoon.

5 0

3 years ago

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