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3 years ago

I WILL MARK THE CORRECT ALPHA!!

Mathematics

1 answer:

Kitty [74]3 years ago

4 0

Answer:

I think the answer is Step 2, 12x − 16 = 16 + 4x

plz mark me as brainliest if i was right :)

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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

How many grams are equal to 4965 mg

irinina [24]

Answer

4.958 grams

Step-by-step explanation:

5 0

3 years ago

On Sunday 440 people visited a museum that charges $9 for each child and $12.50 for each adult. If the museum earned $5,220 on t

alisha [4.7K]

Answer:

A) 360 adults

Step-by-step explanation:

c=quantity of child

a=quantity of adult

9c+12.5a=5220

a+c=440 then c=440-a

substitute for c

9(440-a)+12.5a=5220

3960-9a+12.5a=5220

reduce

3.5a=1260

a=360

3 0

3 years ago

6 times the sum of a number and 12 is 114. what is the number?

grin007 [14]

Answer:

6 times the sum of a number and 12 is 114. The number is 17

Step-by-step explanation:

6 x 17 + 12= 114

5 0

3 years ago

Read 2 more answers

please look at the problem and help. I tried to ask my teacher for help earlier but she ignored me so please don't ignore this.

Alchen [17]

36*40+36*40-6*6=2844ft^2

we had to subtract the area of the closet so it wasn't counted twice :P

8 0

3 years ago