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anyanavicka [17]
2 years ago
7

The number of knots in a particular type of wood can be modeled by a Poisson distribution with an average of 1.4 knots in 10 cub

ic feet of the wood. Find the probability that a 20-cubic-foot block of the wood has at most 1 knot.
Mathematics
1 answer:
Kamila [148]2 years ago
6 0

Answer:

Probability that a 20- cubic foot block of wood has at most 1 knot P (X<=1) = 0.5918

Step-by-step explanation:

Average rate of knot= 1.4

Wavelength = 1.4

Geometric probability is given by:

P(X= K) = wavelength ^k × e^-wavelegth

P(X=0) = (1.4^0 × e^-1.4)/0!

P(X=0) = 1 × 0.2466 = 0.2466

P(X=1) = 1.4^1 × e^-1.4

P(X=1)= 1.4×0.2466= 0.3452

P(X<=1)= P(X=0) + P(X=1)

P(X<=1) = 0.2466 + 0.3452 = 0.5918

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Step-by-step explanation:

400/8 is 50.

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Each bracelet is $5, this can be represented as 5b. (Where b is number of bracelets)

Each necklace is $8, this can be represented as 8n. (Where n is number of necklaces)

We know that the total money raised needs to be at least $100, but it can also be more than that.

So we know that 8n+5b will be greater than or equal too 100.

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2 years ago
Can you help me pleeeeaaassee??
melamori03 [73]

Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC, Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1), Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.

Given: The diagram is given and we need to find the errors and then fix them. Also ΔTSR ≈ ΔTCD

Let's solve the given question:

Given that ΔTSR ≈ ΔTCD

So we know by the properties of the similarity that if two triangles are similar then the ratio of their corresponding sides is equal.

So, ΔTSR ≈ ΔTCD

=> RT / TD = ST / TC

=> 14 / 7 = 16 / (x - 1)

In the question, we can observe that the given side ratio is DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC.

The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).

The third error is the value of x.

We can find the correct value of x from the given equation:

14 / 7 = 16 / (x - 1)

=> 2 = 16 / (x - 1)

Multiplying both sides by (x - 1):

(x - 1) × 2 = 16 / (x - 1) × (x - 1)

=> 2(x - 1) = 16

Multiplying both sides by 1 / 2:

2(x - 1) × 1 / 2= 16 × 1 / 2

=> x - 1 = 8

Adding 1 on both sides:

x - 1 + 1 = 8 + 1

x = 9

Therefore x = 9.

Hence the errors are:

Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC

Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).

Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.

Know more about "similar triangles" here: brainly.com/question/14366937

#SPJ9

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