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3 years ago

Calculate the distance between the two given point T(6,-2),U(-2,-12)

1 answer:

3 0

Use the distance formula: $\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

(6, -2), (-2, -12)
$\sqrt{(-2 - 6)^2 + (-12 - -2)^2}$ ⇒ $\sqrt{(-8)^2 + (-10)^2}$
$\sqrt{64 + 100}$ ⇒ $\sqrt{164}$
$\sqrt{164}$ = 12.8

The distance between points T and U is 12.8 units.

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On the average, a certain light bulb is supposed to last 450 hours. If it

Dafna1 [17]

Answer:

72 novels

Step-by-step explanation:

A number of assumptions are involved regarding operating environment, utilization fraction, and probability of failure as a function of time. The precise meanings of the words "average", "supposed to last", "maximum", and "expect" are involved. The details are too arcane to go into here.

(450 hours)/(6 1/4 hours/novel)

= (450/(25/4)) novels

= (450*4/25) novels

= 72 novels

6 0

3 years ago

Cesar bought 20 boxes pizza. He gave 14 boxes of pizza to his classmates. Write the percentage of pizza left.

LenaWriter [7]

Answer:

30%

Step-by-step explanation:

total boxes of pizza = 20

he gave away 14 boxes

so pizza left is 20 - 14 = 6 boxes

to calculate percentage = 6 / 20 * 100

= 6 * 5

= 30%

5 0

3 years ago

What is 4.345 x 10^5 in standard form?

zalisa [80]

Answer:

Choice D.) 434,500

Step-by-step explanation:

What is 4.345 x 10^5 in standard form?

4.345 x 10^5 = 4.345 * 100,000

multiply it out:

4.345 x 10^5 = 434,500

3 0

3 years ago

A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three compl

True [87]

Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

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 interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that $\mu = 0.6h$ , in which h is the number of hours.

Determine the probability that exactly four complaints will be received during the next eight hours.

8 hours means that $h = 8, \mu = 0.6(8) = 4.8$ .

The probability is P(X = 4).

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

$P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203$

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

5 0

3 years ago

-2(7 – n) + 4<br> What is the answer to this any body know it??????????

Leni [432]

2x-10 is the answerr

7 0

3 years ago

Read 2 more answers