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3 years ago

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Make a frequency table to show the following test times (in minutes) for a reading test. 81, 63, 61, 58, 72, 70, 79, 68, 82, 64,

54, 82, 72, 63, 64, 76, 57, 65, 73, 58

1 answer:

kodGreya [7K]3 years ago

3 0

Sorry about my handwriting. this is what your graph should look like

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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.

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2 years ago

Which of the following represents the approximate circumference of a circle with a diameter of 5.8 ft? A. 9.106 ft C. 18.212 ft

mario62 [17]

Answer:

C-18.212 feet

Step-by-step explanation:

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2 years ago

I need help with this. 3x + 5= 35, x =

Novay_Z [31]

Answer:

Step-by-step explanation:

3x + 5 = 35

3x = 30

x = 10

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2 years ago

What is (-7)^2 × (-7)?<br><br> I will mark the Brainliest, thank, and comment!<br><br> Thank you!

belka [17]

Answer:

The answer is -343.

Step-by-step explanation:

If a term doesn't have an exponent, it's considered that the exponent is 1 (so basically, (-7)² x (-7)^1.

Multiply the terms with the same base (by adding the exponents - (-7)²+1<- (as the exponential value) (couldn't find the sign so sorry.)

Add the numbers: (-7)³

A negative base raised to an odd power equals a negative: -7³

Write the problem out: -(7 x 7 x 7).

Multiply: -343

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2 years ago

julia, keller and israel all made 219.75 dollars in total. keller made 37.50 and israel made 12 less than keller. what did each

krek1111 [17]

Keller=37.50
Israel=25.50
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3 years ago