8 A television show uses 15 minutes of every hour for commercials, leaving

1 answer:

8 0

C 1:3

15:45 can be simplified by dividing by 15 to give you a ratio of 1minute if commercials for every 3 minutes of the actual show

You might be interested in

you run a business making birdhouses. you spend $600 to start your business, and it costs you $5.00 to make each birdhouse.

Alex787 [66]

Answer:

???

Step-by-step explanation:

What is the question?

4 0

3 years ago

1. Which of the following relations are functions?

klasskru [66]

Answer:

R1 = {(1, 7) (2, 7) (4, 7) (6, 7)}

R3 = {(x, y) (y, z) (z, t) (t, v)}

R1 and R3 are functions because first element in the ordered pair is not repeating, i.e they have unique images

8 0

2 years ago

Let u = <-4, 3>. Find the unit vector in the direction of u, and write your answer in component form. (2 points)

lana66690 [7]

Answer: < -4/5, 3/5>

This is equivalent to writing < -0.8, 0.6 >

======================================================

Explanation:

Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.

We have a right triangle with legs of 4 and 3. The hypotenuse is $\sqrt{4^2+3^2} = \sqrt{16+9} = \sqrt{25} = 5$ through use of the pythagorean theorem.

We have a 3-4-5 right triangle.

Therefore, the vector is 5 units long. This is the magnitude of the vector.

Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.

Therefore, we go from < -4, 3 > to < -4/5, 3/5 >

This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6

Side note: Unit vectors are useful in computer graphics.

6 0

2 years ago

olice response time to an emergency call is the difference between the time the call is first received by the dispatcher and the

yan [13]

Answer:

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 7.2 minutes and a standard deviation of 2.1 minutes.

This means that $\mu = 7.2, \sigma = 2.1$