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lawyer [7]
3 years ago
10

(HELP FINAL EXAM) If two states are selected at random from a group of 40 ​states, determine the number of possible outcomes if

the group of states are selected with replacement or without replacement.
Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

Answer:

With replacement, there are 1600 possible outcomes.

Without replacement, there are 1560 possible outcomes.

Step-by-step explanation:

Chosen with replacement:

State is chosen, then put back in the group, then another state can be chosen. In both cases, there will be 40 possible outcomes, as the first taken state is placed back. So

40*40 = 1600

With replacement, there are 1600 possible outcomes.

Chosen without replacement:

State and chosen and is not replaced.

So, for the second state, there will be only 39 possible outcomes.

40*39 = 1560

Without replacement, there are 1560 possible outcomes.

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What is the height of the cone if its volune is 8,138.88 feet CUBED? Use 3.14 for pi. (Radius of base of cone is 12 ft)
Morgarella [4.7K]

Answer:

h = 54 feet

Step-by-step explanation:

The equation for the volume of a cone is V = \frac{1}{3} × π × r² × h.

You have the volume, which is 8,138.88, and the radius of the base, which is 12.

V = 8,138.88

h = 12

π = 3.14

When you plug everything you know into the equation, you get:

V = \frac{1}{3} × 3.14 × r² × h.

8,138.88 = \frac{1}{3} × 3.14 × (12)² × h

After you multiply everything on the right side, you come out with:

8,138.88 = 150.72 × h

To find h, you can divide each side by 150.72.

8,138.88 ÷ 150.72 = 54 feet!

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3 years ago
The escape velocity from planet Earth is 11,184.7258 meters per second. If a ship reaches this speed and maintains it, then negl
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Answer:

Step-by-step explanation:

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Speed of ship = 11184.7258 m / s

Time taken = distance of moon from earth / speed of ship

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Step-by-step explanation:

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The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun
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Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. \mu=12.30 and \sigma=0.20

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process =  probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

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3 years ago
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