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denis-greek [22]
2 years 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:
DiKsa [7]2 years ago
8 0

Answer:

0.047

Step-by-step explanation:

Given that poisson distribution with mean m, for 0.5 square meter =1.5

Then the formula for finding the probability =

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

Hence we have

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

= (0.2231301601 * 5.0625) ÷ 24

=( 1.12944375) ÷24

= 0.04706

≈ 0.047

Hence, the final answer is 0.047

You might be interested in
. A fence encloses a triangular field. There is
poizon [28]

Answer:

  • 16 posts

Step-by-step explanation:

<u>Sides are:</u>

  • 20 ft, 25 ft and 35 ft

<u>There are following number of posts on each of the sides:</u>

  • 20 ft side ⇒ 20/5 = 4
  • 25 ft side ⇒ 25/5 = 5
  • 35 ft side ⇒ 35/5 = 7

<u>Total number:</u>

  • 4 + 5 + 7 = 16 posts
6 0
2 years ago
Carlos shovels snow from driveways in his neighborhood. he charges $10 for each regular driveway and he charges an extra $7.50 f
stiks02 [169]

Let, the number of regular driveways be x.

Given there are 3 fewer large driveways than regular driveways.

So, the number of large driveways = (x-3)

Given, Carlas charges $10 for each regular driveway.

So for x regular driveway the amount will be = $ (10)(x) = $ (10x)

And he charges extra $7.50 for each large driveway.

So for each large driveway Carlos charges = $(10+7.50) = $17.50.

For (x-3) large driveways Carlos will charge = $ (17.50)(x-3) = $ (17.50x - 52.50)

Given, the total amount he makes = $140

So we can write the equation as,

10x + 17.50x - 52.50 = 140

27.50x + 52.50 = 140

We will move 52.50 to the right side by adding it to both sides. We will get,

27.50x - 52.50 + 52.50 = 140 + 52.50

27.50x = 192.50

Now to get x, we will move 27.50 to the right side by dividing it to both sides. We will get,

\frac{(27.50x)}{27.50} =\frac{192.50}{27.50}

x =\frac{192.50}{52.50}

x = 7

So we have got the required answer.

The number of regular driveways Carlos shovel = 7.


8 0
2 years ago
The product of two consecutive negative integers is 600. What is the value of the lesser integer?
Kryger [21]
Let's say the first number is -a, so "a" will be some positive value, and we multiply -1 to it, we get the -a

a consecutive number from it, is either, ahead or before it, so, -a + 1 or -a -1, is a consecutive integer, hmm let's use -a + 1 then

so, the two numbers are -a and -a + 1

we know their product is 600

\bf (-a)(-a+1)=600\implies a^2-a=600&#10;\\\\\\&#10;\begin{array}{lcclll}&#10;a^2&-a&-600=0\\&#10;&\uparrow &\uparrow \\&#10;&-25+24&-25\cdot 24&#10;\end{array} \implies (a-25)(a+24)=0&#10;\\\\\\&#10;&#10;\begin{cases}&#10;a-25=0\implies &\boxed{a=25}\\&#10;a+24=0\implies &a=-24&#10;\end{cases}

we use the positive one, because we're using -1 in front of the "a"

what's the lesser integer? well, what's  -a+1?  which one is lesser?
7 0
2 years ago
Read 2 more answers
What is 62.19 x 32.5
navik [9.2K]
You have to multilpy them . answer would be 2021.175 
8 0
2 years ago
Read 2 more answers
The segments shown below could form a triangle.
Rina8888 [55]

Answer:

A. True

Step-by-step explanation:

The Triangle Inequality Theorem says that the sum of any two sides must be greater than the third side. Let's see if this is true.

a + b

9 + 1 = 10>9

a + c

9 + 9 = 18>1

c + b

9 + 1 = 10>9

5 0
2 years ago
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