The function f(x) = –x2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired, and f(x) is the amount of profit. part a: determine the vertex. what does this calculation mean in the context of the problem? (5 points) part b: determine the x-intercepts. what do these values mean in the context of the

Given :

To Find: Part A: Determine the vertex. What does this calculation mean in the context of the problem?Part B: Determine the x-intercepts.

Solution:

General form of parabola :

where (h,k) is the vertex

Convert the given equation in the general form

So, (h,k)=(30,784)

So, the vertex of given parabola is (30,784)

x denotes number of windshields repaired

y denotes the amount of profit

So, the vertex tells the maximum profit .

So, repairing 30 windshields provides the maximum profit of amount $784

Now to find x intercept substitute y = 0 in the given equation:

Thus there is 0 profit when 2 or 58 windshields repaired

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110