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Y_Kistochka [10]
3 years ago
10

A container shaped as a rectangular prism can hold 156 wooden cube blocks with edge lengths of 1/3 ft.

Mathematics
1 answer:
PolarNik [594]3 years ago
3 0
Each cube is 4 inches by 4 inches by 4 inches
Each cube is 4*4*4 = 64 cubic inches
So, 156 cubes would have a volume of 64*156=
9,984 cubic inches.
there are 1,728 cubic inches in a cubic foot so that would be
5.777777777 cubic feet

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The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 90 inches comma and a standard
Debora [2.8K]

Step-by-step answer:

standard deviation (sigma) = 12 inches

mean (mu) = 90 inches.

For 36 years, the standard error of the mean is

e = sigma / sqrt(n) = 12" / sqrt(36) = 2".

Deviation from the mean

= 92.8 -90 = 2.8

Since the standard error of the mean follows the normal distribution, we have

Z=(92.8-90)/2 = 1.4

Looking up the normal distribution tables, or check R, we find

P(Z>1.4) = 1-P(Z<1.4) = 1-0.9192433 = 0.08075666

Answer: P(snowfall>92.8) = 0.0808 (to four decimal places)

3 0
3 years ago
For the following data at the near-ground level, which location will residents likely see dew on their lawns in the morning? Gro
Zarrin [17]

Answer: CITY B: Dew Point Temperature = 45°F, expected low Temperature = 50°F

Step-by-step explanation:

CITY C: Dew Point Temperature = 25°F, expected low Temperature = 20°F

CITY A: Dew Point Temperature = 65°F, expected low Temperature = 60°F

CITY B: Dew Point Temperature = 45°F, expected low Temperature = 50°F

city B is going to have dew on their lawn in the morning as the dew point temperature is less than the lowest temperature.

When surface temperature drops, eventually reaching the dew point, atmospheric water vapor condenses to form small droplets on the surface. Thus dew will be formed as the conditions are suitable only for city B.

8 0
3 years ago
This problem models pollution effects in the Great Lakes. We assume pollutants are flowing into a lake at a constant rate of I k
Alenkasestr [34]

Answer:

C(t) = I/F [1 - e^(-Ft/V) ] + C₀e^(-Ft/V)

as t = 0 ; C(t) = 1/F

Explanation:

dC/dt) = (-F/V)*C+(I/V)

To make it easier to solve, let

Constants: I, V,F

Variables: C, t

workings and solution can be viewed below

8 0
3 years ago
A recipe for banana oat muffins calls for 3/4 cups of oats. You need to triple the recipe to make enough for your whole family.
Marta_Voda [28]

Answer: 2 and 1/4 cups of oats (9/4 cups of oats)

Step-by-step explanation:

We know that, for the recipe, we need 3/4 cups of oats.

Now, you want to triple the recipe (then you need to use 3 times more ingredients).

This means that, if for the recipe you needed 3/4 cups of oats, when we triple that we have:

3*(3/4 cups) = 9/4 cups

This means that you need to use 9/4 cups of oats.

And we could also write this as:

9/4 cups = 8/4 cups + 1/4 cups = 2 + 1/4 cups of oats.

3 0
3 years ago
Show that (n+3)2 - (n-3)2 is an even number for all positive interger values of n
Zolol [24]
(n+3)^2-(n-3)^2=\\&#10;n^2+6n+9-(n^2-6n+9)=\\&#10;n^2+6n+9-n^2+6n-9=\\&#10;12n
7 0
3 years ago
Read 2 more answers
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