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Georgia [21]
3 years ago
9

Calculate the average rate of change for the given function, from x = −3 to x = 7.

Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0

Answer:

The average rate of change for the given function, from x = −3 to x = 7 will be:

  • Average rate = -5

Step-by-step explanation:

Given the table

x                      f(x)

-3                     50

3                      10

7                       0

As the interval is from x = -3 to x = 7.

so

at x₁ = -3, f(x₁) = 50

at x₂ = 7,  f(x₂) = 0

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                       = [0 - 50] / [7-(-3)]

                      = [-50] / [7+3]

                      = -50 / 10

                      = -5

Therefore, the average rate of change for the given function, from x = −3 to x = 7 will be:

  • Average rate = -5
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
1. Average Senior High School annual cost of tuition fee for all private schools in Cavite last year was 46,300 a random sample
anygoal [31]

Answer:

Step-by-step explanation:

H0 : μ = 46300

H1 : μ > 46300

α = 0.05

df = n - 1 = 45 - 1 = 44

Critical value for a one tailed t-test(since population standard deviation is not given).

Tcritical = 1.30

The test statistic :(xbar - μ) ÷ (s/sqrt(n))

The test statistic, t= (47800-46300) ÷ (5600√45)

t = 1500

t = 1500 / 834.79871

t = 1.797

The decision region :

Reject H0: if t value > critical value

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Tvalue > critical value ; We reject H0

Hence, there is sufficient evidence to conclude that cost has increased.

5 0
3 years ago
A cylinder has a base area of 64π m2. Its height is equal to twice the radius. Identify the volume of the cylinder to the neares
Maurinko [17]

Answer:

3215 .36 m³ is the required volume.

Step-by-step explanation:

Base area of Cylinder = 64π m²

Height of cylinder is equal to twice the radius .

As we know that ,

★Base Area of Cylinder = πr²

where,

π is taken as 22/7 or 3.14

r is the radius of cylinder

Substitute the value we get

↝ 64 π = πr²

↝ 64 = r²

↝ √64 = r

↝ 8 = r

↝ r = 8 m

Now, it is given that height is equal to twice of radius

Therefore ,

height = 2r = 2×8 = 16 m

★Volume of Cylinder = πr²h

substitute the value we get

↝ volume of Cylinder = 3.14 × 8² × 16

↝volume of Cylinder = 3.14 × 64 × 16

↝volume of Cylinder = 3215 .36 m²

Hence, the required volume of cylinder is 3215 .36 m³.

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3 years ago
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Answer:

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Step-by-step explanation:

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