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3 years ago

Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x

1 answer:

3 0

The average rate of change for this is the slope of the secant line that connects those 2 points (3, y) and (15, y). What we need for the slope formula of change in y over change in x are the y values which are unknown as of right now. We can find them though! Don't worry! The equation is y = .01(2)^x. Using that equation, let's sub in both the 3 and the 15 and find the corresponding y values. Subbing in first a 3 gives you y = .01(2)^3, and y = .08. Subbing in a 15 gives you y = .01(2)^15 and y = 327.68. Now we have the coordinates we need to find the slope of the secant line connecting those 2 points: (3, .08) and (15, 327.6). Fitting those into the slope formula gives us (327.68-.08)/(15-3). Simplifying that is 327.6/12 which divides out to 27.3

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Two trains on opposite tracks leave the same station at the same

nikdorinn [45]

Answer:

20 minutes( 0.3333 hours) after they leave the station will they be 50 km apart, if the Two trains on opposite tracks leave the same station at the same time.

Step-by-step explanation:

One train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr.

4 0

2 years ago

If the level of significance of a hypothesis test is raised from 0.005 to 0.2, the probability of a type ii error will:_________

LiRa [457]

The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.

<h3 /><h3>What is a type II error?</h3>

A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.

It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.

<h3>How the type II error is related to the significance level?</h3>

The relation between type II error and the significance level(α):

The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.
The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.
Thus, if the significance level increases, the type II error decreases and vice-versa.

From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.

Learn more about type II error of a hypothesis test here:

brainly.com/question/15221256

#SPJ4

7 0

1 year ago

Captain Jessica has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Ishaan and his merciless band

OLga [1]

Answer:

9/40

Step-by-step explanation:

Captain Jessica shoots first. This means her ship has not already been hit, which means she has a 2/5 chance of hitting the pirate ship. This also means she has a 1-2/5 = 3/5 chance of missing the pirate ship.

Since Captain Jessica misses, dread pirate Ishaan has a 3/8 chance of hitting the captain's ship. This means he has a

3/5(3/8) = 9/40 chance of the captain missing the pirate and the pirate hitting the captain.

6 0

3 years ago

Which of the following expressions is equivalent to 12x - 3 + 2x +13

Maru [420]

Answer:

Are there multiple choice options? If so, please include them. That way I will actually be able to help you :)

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Is the equation y = x3 even, odd, or neither?

ohaa [14]

Let be y =f(x)= x3, f(-x) = (-x)^3 = - x^3 = - f(-x), f(-x) = (-x)^3, f(-x) = - f(<span>-x)
the equation is odd</span>

5 0

2 years ago