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3 years ago

A right rectangular prism has a volume of 120 in. What is the new volume if the length, width and height are doubled?

1 answer:

hjlf3 years ago

7 0

We don't know what the dimensions are, but any numbers that have a sum of 120 will work. Let's use 3, 4, and 10.

3 x 4 = 12 10 x 12 = 120

But if you double each dimension:

6 x 8 = 48 48 x 20 = 960 To find how much the sums changed:

960 / 120 = 8

The new volume is 8 times what it originally was! 960 in.

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WhiCh statement is true

luda_lava [24]

All parallelograms are quadrilateral

6 0

3 years ago

How many factors does 43 have

Goshia [24]

Answer:

43 have just one factor and its the no. itself 43,

No other factor!

And 1 is the factor of all the numbers, that comes under a common sense ig.

Hope it helps!!

3 0

4 years ago

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

dusya [7]

Answer:

a) There is an 81.87% probability that the instrument does not fail in an 8-hour shift.

b) There is a 45.12% probability of at least one failure in a 24-hour day.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

a. What is the probability that the instrument does not fail in an 8-hour shift?

The mean for an hour is 0.025 failures.

For 8 hours, we have $\mu = 8*0.025 = 0.2$

This probability is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.2}*(0.2)^{0}}{(0)!} = 0.8187$

There is an 81.87% probability that the instrument does not fail in an 8-hour shift.

b. What is the probability of at least one failure in a 24-hour day?

The mean for an hour is 0.025 failures.

For 24 hours, we have $\mu = 24*0.025 = 0.6$

Either we have at least one failure, or we have no failures. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.6}*(0.2)^{0}}{(0)!} = 0.5488$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.5488 = 0.4512$

There is a 45.12% probability of at least one failure in a 24-hour day.

6 0

3 years ago

Compute the missing angles in the given figure.

anyanavicka [17]

Measure of ∠M is 52° and measure of ∠LNM is 38°

Step-by-step explanation:

From the attached figure the given is:

1. Line LP intersects line OM at point N

2. m∠PNM is 142°

3. m∠L is 90°

We need to find m∠M and m∠LNM

∵ Line LP intersects line OM at point N

∴ m∠PNM + m∠LNM = 180° ⇒ pair of linear angles

∵ m∠PNM = 142°

∴ 142 + m∠LNM = 180

- Subtract 142 from both sides

∴ m∠LNM = 38°

In ΔNLM

∵ m∠LNM + m∠L + m∠M = 180° ⇒ interior angles of a triangle

∵ m∠LNM = 38° ⇒ proved

∵ m∠L = 90° ⇒ given

∴ 38 + 90 + m∠M = 180

- Add like terms in the left hand side

∴ 128 + m∠M = 180

- Subtract 128 from both sides

∴ m∠M = 52°

Measure of ∠M is 52° and measure of ∠LNM is 38°

Learn more:

You can learn more about angles in brainly.com/question/1599887

#LearnwithBrainly

7 0

4 years ago

Please hurry<br>hurry<br>hurry<br>hurry<br>hurry

Triss [41]

It’s B because it’s smaller than -3 but slightly greater than -4

6 0

4 years ago

Read 2 more answers