Mathematics, 06.10.2019 08:30 jessiejohnsonjr123

Alarge store has a customer service department where customers can go to ask for with store-related issues. according to store records, approximately ¼ of all customers who go to the service department ask for finding an item. assume the reason each customer goes to the service department is independent from customer to customer. based on the approximation, what is the probability that at least 1 of the next 4 customers who go to the service department will ask for finding an item?

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Answer from: s661103

The probability that at least 1 of the next 4 customers who go to the service department will ask for help finding an item is $1-(\frac{3}{4})^4\ or\ 0.68$

Step-by-step explanation:

Consider the provided information.

According to store records, approximately 1/4 of all customers who go to the service department ask for help finding an item.

That means 3/4 of all customers who go to the service department will not ask for help.

We need to find the probability that at least 1 of the next 4 customers who go to the service department will ask for help finding an item.

Here, at least 1 means 1 or more than one customers can go to the service department.

Subtract the probability that no customers will go to service department with 1. This will gives us the probability that at least 1 of the next 4 customers who go to the service department will ask for help finding an item.

This can be written as:

$P(X\geq 1)=1-P(X$

$P(X\geq 1)=1-\binom{4}{0}(\frac{1}{4})^0(\frac{3}{4})^4$

$P(X\geq 1)=1-(\frac{3}{4})^4\\P(X\geq 1)=0.68$

Hence, the probability that at least 1 of the next 4 customers who go to the service department will ask for help finding an item is $1-(\frac{3}{4})^4\ or\ 0.68$

Answer from: Quest

C. 40,320 just did the math right now

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

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Alarge store has a customer service department where customers can go to ask for with store-related...