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andrew-mc [135]
3 years ago
11

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 49.0 and 54.

0 minutes. Find the probability that a given class period runs between 50.75 and 51.75 minutes.
Find the probability of selecting a class that runs between and minutes.
Mathematics
1 answer:
Pie3 years ago
8 0

Answer:

0.2

Step-by-step explanation:

Write a proportion.

(54.0 − 49.0) / 1 = (51.75 − 50.75) / x

5 = 1 / x

x = 0.2

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1) Answer:

\frac{4m^{10} }{9n^{18} }

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6 0
3 years ago
16. The value of sin² 5° + sin² 10° + sin² 15° + … + sin² 90° is equal to
Yuri [45]

Answer:

11.5

Step-by-step explanation:

Let think mathematically. We have a finite series.

sin² 5° + sin² 10° + sin² 15° + … + sin² 90° . Remeber that sin is a periodic function, and we also know that

\sin {}^{2} (45 + 45)  = 1

and

\sin {}^{2} (30 + 60)  = 1

also that

\sin {}^{2} (0 + 90)  = 1

I'm imying that two angles that add up to 90 will make cancel out to 1.

Our full series will be

Angle measures increasing by 5 so

85+5=1

80+10=1

75+15=1

70+20=1

65+25=1

60+30=1

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50+30=1

sin^2(45) is the same as sin(45)sin(45)=1/2.

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4 0
3 years ago
Three same-sized cubes are glued together as shown below.
Llana [10]

Answer:

540

Step-by-step explanation:

The easiest way to do this is to:

Find the surface area of ONE cube minus a side

6*6= 36*5 = 180

Then multiply it by THREE to find the total surface area:

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6 0
3 years ago
Which point on the number line shows the graph of -5/4?
Trava [24]

Answer:

Please see attached image.

Step-by-step explanation:

The best way to find the location of the number line for this point is to use ticks every 1/4 (instead of the standard one unit). See how the number line is subdivided marking ticks every 1/4 (one fourth) of the unit instead of a whole unit in the attached image. That way it is easy to move exactly 5 one fourths to the left of the origin (zero) and place a "dot" in that location (this process is marked with orange arrows in the attached image)

6 0
3 years ago
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