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Rama09 [41]
3 years ago
7

Use parallel lines cut by a transversal properties to solve for X

Mathematics
1 answer:
inysia [295]3 years ago
6 0

Answer:

uh

Step-by-step explanation:

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Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul
IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: P(k) = \frac{\lambda^ke^{-k}}{k!} where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and \lambda = 7 into the formula:

P(k=7) = \frac{7^7e^{-7}}{7!}

P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

P(k\leq2) = P(k=0)+P(k=1)+P(k=2)

P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}

P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}

P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%

4 0
3 years ago
A town is fencing a rectangular field that is 200 feet long and 150 feet wide. At $10 per foot, how much will it cost to fence t
labwork [276]
Perimeter of a rectangle is

2*width + 2*length

then multiply the perimeter by the cost per foot

2*(150ft) + 2*(200ft)

300ft + 400ft

700ft

700ft * $10/ft

$7000
6 0
3 years ago
What is the value of 0.6 + 0.3? Write your answer as a fraction in lowest terms
Allisa [31]
9/10 i the answer i believe
3 0
3 years ago
Please help I don’t get this
mina [271]

Answer:

H = 11m

Step-by-step explanation:

As we know, volume = length * breadth/width * height

Given,

length = 6m

Breadth/width = 3 1/2 or 3.5

Height = ?

So, l * b * h = v

=> 6m * 3.5m * h = 231m

=> 21m * h = 231m

=> h = 231m /21m = 11m

Therefore, height = 11m / 11metres

Hope this helps

6 0
3 years ago
Rashad walks 4 miles in 74 minutes. Express his rate as a simplified fraction
dem82 [27]

Answer:

2/37

Step-by-step explanation:

rate is 4/74 miles per minute, now both numerator and denominator can be divided by 2, so

4/74 = 2/37, which cannot be simplified further

4 0
3 years ago
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