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2 years ago

Write a product that converts 492 seconds into an equivalent time in minutes. Use division to find the answer.

Mathematics

1 answer:

Bess [88]2 years ago

3 0

Answer:

8.2 minutes

Step-by-step explanation:

$\ \frac{492}{60} = 8.2$

492 seconds = 8.2 minutes

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The diagram shows a wooden prism of height 5cm.

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3 years ago

A rat is trapped in a maze. Initially he has to choose one of two directions. If he goes to the right, then he will wander aroun

Brut [27]

Answer:

The expected number of minutes the rat will be trapped in the maze is 21 minutes.

Step-by-step explanation:

The rat has two directions to leave the maze.

The probability of selecting any of the two directions is, $\frac{1}{2}$ .

If the rat selects the right direction, the rat will return to the starting point after 3 minutes.

If the rat selects the left direction then the rat will leave the maze with probability $\frac{1}{3}$ after 2 minutes. And with probability $\frac{2}{3}$ the rat will return to the starting point after 5 minutes of wandering.

Let <em>X</em> = number of minutes the rat will be trapped in the maze.

Compute the expected value of <em>X</em> as follows:

$E(X)=[(3+E(X)\times\frac{1}{2} ]+[2\times\frac{1}{6} ]+[(5+E(X)\times\frac{2}{6} ]\\E(X)=\frac{3}{2} +\frac{E(X)}{2}+\frac{1}{3}+\frac{5}{3} +\frac{E(X)}{3} \\E(X)-\frac{E(X)}{2}-\frac{E(X)}{3}=\frac{3}{2} +\frac{1}{3}+\frac{5}{3} \\\frac{6E(X)-3E(X)-2E(X)}{6}=\frac{9+2+10}{6}\\\frac{E(X)}{6}=\frac{21}{6}\\E(X)=21$

Thus, the expected number of minutes the rat will be trapped in the maze is 21 minutes.

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4 years ago

The length of time (T)in seconds it takes the pendulum of a clock to swing through one complete cycle is given by the formula

STatiana [176]

Answer:

T = 2 pi sqrt (L/g)

g = 32 ft/s2

here

2 = 2 (22/7) sqrt (L/32)

sqrt (L/32) = 7/22

L/32 = 49/484

L = 3.24 ft

check by hanging a weight from a 3' 3" string

Step-by-step explanation:

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3 years ago