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3 years ago

Which of the following does not preserve orientation.

1 answer:

8 0

Translations move the pre-image horizontally or vertically, but retain its orientation.

Reflections reflect across axes, mirroring the pre-image. Reflections result in a change of orientation.

Dilations stretch or shrink the pre-image by a scale factor; they change the pre-image's size but retain the pre-image's orientation.

Rotations rotate around a center point, but don't change the direction of the shape (its orientation).

Answer:
g. reflections

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The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.The ma

Lana71 [14]

Answer:

The advertisement should use 16 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that $m = 3.5, \mu = \frac{1}{3.5} = 0.2857$

What number of minutes should the advertisement use?

The values of x for which:

$P(X > x) = 0.01$

$e^{-\mu x} = 0.01$

$e^{-0.2857x} = 0.01$

$\ln{e^{-0.2857x}} = \ln{0.01}$

$-0.2857x = \ln{0.01}$

$x = -\frac{\ln{0.01}}{0.2857}$

$x = 16.12$

Rounding to the nearest number, the advertisement should use 16 minutes.

5 0

3 years ago

A hot air ballon ascended at the rate of 400 ft per hour for 3 hours and 15 min. What was the total distance that the ballon asc

Romashka [77]

The balloon ascended 1300ft.

WORK:

3*60=180

180+15=195

195/60=3.25

3.25*400=1300

That is why your answer is 1300ft. Enjoy!

6 0

3 years ago

Select all equations that can result from adding these two equations or subtracting one from the other. x+y=12 3x-5y=4 PLZ HELP

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8 0

3 years ago

Question 19 Only, Please show your work.<br><br> Solve the problem.

ankoles [38]

Answer:

$5\sqrt{2}$

Step-by-step explanation:

Draw a diagonal (line segment from one corner to the opposite corner). You'll form two right triangles with the diagonal being the hypotenuse of both triangles.

Use the Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2.

Let h represent the length of the hypotenuse.

$h^2 = 5^2+5^2\\h^2=25 + 25\\h^2 =50\\h=\sqrt{50}\\h=5\sqrt{2}$

The question is just a bit vague. It should say opposite corners. I'm assuming the question does not mean the length of one side!

5 0

2 years ago

Please help!!!!!!!!!!!!!!!!!!!!!!! I'm NOT about to write all that out again. THANK YOU!!!!

NikAS [45]

Answer:

I am not able to see yo pics. sorry

Step-by-step explanation:

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3 years ago