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madreJ
2 months ago
5

Suppose flaws (cracks, chips, specks, etc.) occur on the surface of glass with density of 3 per square meter. What is the probab

ility of there being exactly 4 flaws on a sheet of glass of area 0.5 square meter
Mathematics
1 answer:
zzz [12.3K]2 months ago
8 0

Answer:

0.047

Detailed breakdown:

Using a Poisson distribution with a mean m, for an area of 0.5 square meters = 1.5

The formula to determine the probability is given by

P[k] = (e^-m * m^k) k!

Thus, we can calculate

P[4] = [(e^-1.5) * (1.5^4)] ÷ 4 * 3 * 2 * 1

= (0.2231301601 * 5.0625) ÷ 24

= (1.12944375) ÷ 24

≈ 0.04706

≈ 0.047

Therefore, the final result is 0.047

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Find the domain of the Bessel function of order 0 defined by [infinity]J0(x) = Σ (−1)^nx^2n/ 2^2n(n!)^2 n = 0
babunello [11817]
The provided sequences pertain to every x. To determine the series, we start with the specified value a, and the values of both a_n and a_(n+1) are found accordingly. The calculation of the series comes from dividing the preceding value, yielding results for all x.
8 0
1 month ago
John averages 58 words per minute on a typing test with a standard deviation of 11 words per minute. Suppose John's words per mi
Zina [12379]

Answer:

When x = 72, the z score is:

z = \frac{72-58}{11}= 1.273

The average is 58

This z-score indicates that x= 72 is 1.273 standard deviations above the mean.

Step-by-step explanation:

Let’s consider the following details for this question: John's typing speed on a test is assumed to follow a normal distribution. Let X denote the number of words he can type in a minute. Hence, X ~ N(58, 11). It’s important to round the result to three decimal points if needed.

Provide your response below for words per minute on a typing test conducted on Sunday. The z score when x = 72 is

In this scenario, we acknowledge that the variable under consideration is represented by a normal distribution:

X \sim N (\mu= 58, \sigma=11)

The formula for the z score is as follows:

z = \frac{X -\mu}{\sigma}

By substituting values, we derive:

z = \frac{72-58}{11}= 1.273

The mean is 58

This z-score indicates that x= 72 is 1.273 standard deviations higher than the mean.

8 0
2 months ago
7. During a person's commute to school, she spends 10 minutes driving 30 miles per hour (mph) and 5 minutes stopped at red light
Inessa [12570]

Answer:

5 miles in total

Step-by-step explanation:

Given:

Time spent driving = 10 min = 10 / 60 = 1/6 hour

Duration of stop = 5 min

Driving speed = 30 miles per hour

Find:

Complete distance

Computation:

Distance traveled = Speed × time

Distance = 30 × (1/6)

Total distance = 5 miles

5 0
3 months ago
The shortest person in a class is 55 inches tall and tallest person in that class is 75 inches tall. Write an absolute value equ
tester [12383]

x = lowest height

<x+25 highest height

x=55

3 0
3 months ago
Read 2 more answers
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