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kozerog [31]
3 years ago
6

Four over five equals seventy-two over g A. 73 B. 90 C. 85 D. 18

Mathematics
1 answer:
zepelin [54]3 years ago
3 0

Answer:

g = 90

Step-by-step explanation:

72 ÷ 4 = 18

18 x 5 = 90

So...

4/5 = 72/90

<u>Check work:</u>

4 ÷ 5 = 0.8

72 ÷ 90 = 0.8

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If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul
Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

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 interval.

3 failures every twenty weeks

This means that for 1 week, \mu = \frac{3}{20} = 0.15

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

P(X \leq 1) = P(X = 0) + P(X = 1)

Then

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

P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607

P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0
3 years ago
Review the graph of complex number z.<br> What is the modulus of<br> Z.
Serggg [28]

Answer: square root of 10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
 Use the given information to find the value of x. Then, find the measure of angle ADC.
skad [1K]

Answer:

60degrees

Step-by-step explanation

To get the angle x, you must first know that the sum of angle at a point is 360degrees. Hence;

x + <ADB + <CDB  = 360

x +150 + 150 = 360

x+ 300 = 360

x = 360 - 300

x = 60

Hence the value of x is 60degrees

5 0
3 years ago
The perimeter of a building is 900 feet. If the length of the building is 400 feet, find the width. How many lights will be need
Helen [10]

Answer:

The width of the building is 50 lamps and 60 lamps will be needed.

Step-by-step explanation:

The perimeter is computed by the sum of the sides of the building, since the length and width are equal on the oposite sides of the building, the perimeter is given by:

perimeter = 2*length + 2*width

900 = 2*(400) + 2*width

2*width + 800 = 900

2*width = 900 - 800

2*width = 100

width = 100/2 = 50 feets

To know how many lights bulbs will be needed we need to take the perimeter of the building and divide it by the space between the lamps. We have:

number o lamps = 900/15 = 60 lamps

8 0
3 years ago
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a girl walked for 30 minutes she noticed that she traveled father in the first 15 minutes of her than in the second 15 minutes w
Arturiano [62]
This is a guess using logic, but my answer for this is that she concluded that she walked faster in the first 15 minutes. An increase in speed would increase the distance she walked in that amount of time
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