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2 years ago

What is the equation of the following line?

Mathematics

1 answer:

arlik [135]2 years ago

3 0

The correct answer is f

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Find the average value of the function f(t)=(t-2)^2 on [0,6]

pentagon [3]

Answer:

Step-by-step explanation:

The "average value of function f(x) on interval [a, b] is given by:

f(b) - f(a)

ave. value = ---------------

b - a

Here f(t)=(t-2)^2.

Thus, f(b) = (b - 2)^2. For b = 6, we get:

f(6) = 6^2 - 4(6) + 4, or f(6) = 36 - 24 + 4 = 16

For a = 0, we get:

f(0) = (0 - 2)^2 = 4

Plugging these results into the ave. value function shown above, we get:

16 - 4

ave. value = ------------ = 12/6 = 2

6 - 0

The average value of the function f(t)=(t-2)^2 on [0,6] is 2.

4 0

2 years ago

Need help with question 1 and 2 PLEASEEEE

aksik [14]

Answer:

P, M, N and C are coplanar, because they are on the same plane.

Noncollinear, because they are not on the same line.

Hope this helps :)

7 0

2 years ago

What is the y intercept of the line that passes through the points (-2,4) and (-1,7) ?

alukav5142 [94]

Answer: (0,10)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A 12 foot ladder is placed against the side of the building. The base of the ladder is placed at an angle of 68° with the ground

3241004551 [841]

Answer:

Step-by-step explanation:

3 0

2 years ago

The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of

Ostrovityanka [42]

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

$P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278$

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

3 0

2 years ago