The annual profit at a chain of stores is normally distributed with a mean of $61,000 and a standard deviation of $23,000. The stores in the top 5% of annual profit were rewarded with a celebration. What
was the annual profit required to have a party?

$98,835.

Step-by-step explanation:

Given: Annual profit at a chain of stores is normally distributed with a mean () of $61,000 and a standard  deviation() of $23,000.

Let denoted the profit.

Let be the minimum profit required to have a party.

The stores in the top 5% (i.e. 0.05) of annual profit were rewarded with a celebration.

i.e.

Hence, the annual profit required to have a party was $98,835.

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation:

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