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aleksley [76]
3 years ago
10

Matt and Mindy each built a rectangular prism that has a length of 5 units,a width of 2 units, and a height of 4 units.Matt used

cubes that are 1 cm on each side.Mindy used cubes that are 1 in. on each side. What is the volume of each prism?
Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0
Volume = length * width * height

Matt:

volume = 5 cm * 2 cm * 4 cm = 40 cm^3

Mindy:

volume = 5 in * 2 in * 4 in = 40 in^3
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Please help I was asigned this for how and I am stuck
Ludmilka [50]

Answer:

-0.555

Step-by-step explanation:

-2/3÷12

=-2/3÷12×3/1×3

=-2/3÷36/3

=-2/3×3/36

=-2/36

=-0.0555

I got this answer but don't know how did you got -8?!

7 0
3 years ago
A farmer sells 6.5 kilograms of pears and apples at the farmer's market. 4 5 of this weight is pears, and the rest is apples. Ho
jeka94

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Step-by-step explanation:

3 0
3 years ago
Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It c
aksik [14]

Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The <em>expected value</em> is given by the <u>sum of each outcome multiplied by it's respective probability.</u>

In this problem:

  • The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is \frac{1}{6} \times \frac{1}{12} = \frac{1}{72}.
  • The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is \frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}
  • In the other cases, Ayo wins £1.40, with 1 - \frac{18}{72} = \frac{54}{72} probability.

Hence, his expected profit for a single game is:

E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583

For 216 games, the expected value is:

E = 216(0.2583) = 55.8

Ayo can be expected to make a profit of £55.8.

To learn more about expected value, you can take a look at brainly.com/question/24855677

6 0
2 years ago
20 PTS: Which is the graph of the sequence defined by the function f(x + 1) = 3/5 f(x) when the first term in the sequence is 37
irina [24]
Image A. its on edgenuity 

3 0
3 years ago
Read 2 more answers
My Notes A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 f
Sergio [31]

Answer:

6.667 ft/s

Step-by-step explanation:

Given

Height of street light = 15ft

Height of man = 6ft

Speed away from pole = 4ft/s

Let x represents the distance between the man and the pole, and Let y represents the distance between the tip of the man's shadow to the pole.

This forms a similar triangle (see attachment below).

From similar triangles, we have

(y - x)/6 = y/15 ----- Solve equation

15(y - x) = 6 * y

15y - 15x = 6y ---- Collect Like Terms

15y - 6y = 15x

9y = 15x --- divide through by 9

y = 15x/9

y = 5x/3 ---- differentiate with respect to time, t

dy/dt = 5/3 dx/dt

dx/dt represents rate of change of distance per time = 4ft/s

while dy/dt represents rate of movement of his shadow tips

dy/dt = 5/3 * 4

dy/dt = 20/3 = 6.667 ft/s

4 0
3 years ago
Read 2 more answers
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