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Feliz [49]
2 years ago
6

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50 and 52 mi

nutes. Find the probability that a given class period runs between 51.5and 51.75 minutes.
Mathematics
1 answer:
daser333 [38]2 years ago
7 0

The required probability of giving class period run between 51.5 and 51.75 is 0.125.

The lengths of her classes are uniformly distributed between 50 and 52 minutes.

<h3>What is the probability?</h3>

Probability, can be define as the ratio of favorable events to the n number of total events.

since,

p(r) = \frac{51.75-51.5}{52-50}

p(r) = 0.125

Thus, the required probability of class period runs between 51.5 and 51.75 is given by 0.125

Learn more about probability here:
brainly.com/question/14290572

#SPJ1

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Determine if the two triangles are congruent. If they are, state how you know.
shepuryov [24]

Answer:

because they mirror eachother, they both have two acute angles and an obtuse angle. they are both obtuse triangles

6 0
3 years ago
Read 2 more answers
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.755.75 millimeters and a standard de
svet-max [94.6K]

Let <em>D</em> be the random variable denoting the diameter of this shop's bolts, so that <em>D</em> is normally distributed with <em>µ</em> = 5.75 and <em>σ</em> = 0.07. The top 6% and bottom 6% of bolts have diameters <em>d</em>₁ and <em>d</em>₂ such that

P(<em>d</em>₁ < <em>D</em> < <em>d</em>₂) = P(<em>D</em> < <em>d</em>₂) - P(<em>D</em> < <em>d</em>₁) = 0.94 - 0.06

i.e. <em>d</em>₂ is the 94th percentile and <em>d</em>₁ is the 6th percentile, for which

P(<em>D</em> < <em>d</em>₂) = 0.94

P(<em>D</em> < <em>d</em>₁) = 0.06

Convert <em>D</em> to a random variable <em>Z</em> following the standard normal distribution using

<em>Z</em> = (<em>D</em> - <em>µ</em>) / <em>σ</em>

Then

P(<em>D</em> < <em>d</em>₂) = P((<em>D</em> - 5.75) / 0.07 < (<em>d</em>₂ - 5.75) / 0.07)

0.94 = P(<em>Z</em> < (<em>d</em>₂ - 5.75) / 0.07)

→   (<em>d</em>₂ - 5.75) / 0.07 ≈ 1.55477

→   <em>d</em>₂ ≈ 5.86

P(<em>D</em> < <em>d</em>₁) = P((<em>D</em> - 5.75) / 0.07 < (<em>d</em>₁ - 5.75) / 0.07)

0.06 = P(<em>Z</em> < (<em>d</em>₁ - 5.75) / 0.07)

→   (<em>d</em>₁ - 5.75) / 0.07 ≈ -1.55477

→   <em>d</em>₁ ≈ 5.64

So bolts with a diameter between 5.64 mm and 5.86 mm are acceptable.

4 0
3 years ago
Slope= 3 point (-4,6)
Aliun [14]

Answer:

y = 3x + 18

Step By Step Explanation

I hope this is what you wanted, I don't know what the answer was supposed to be.

4 0
3 years ago
Vicci designed a square tile in art class. Each corner of the square tile has a measure of 90 degrees.
marishachu [46]

Answer:

360-270=x

x=90 degrees

Step-by-step explanation:

There are two ways i know of how you can do this

<em>The first way:</em>

Ok so lets add up all the angles we know

<u><em>90+90+90=270</em></u>

Now we subtract that from 360

<u><em>360-270=90</em></u>

And there we have it the measure of angle x is 90 degrees

<em>The second way:</em>

Ok lets name all the angles we know. Hypothetically we only know that one angle is 90.

<u><em>measure of angle one is 90 degrees</em></u>

So now we subtract that from 360

<u><em>360-90=270</em></u>

Now we divide that by three because there are only 4 angles and we know the measure of one of the angles

<u><em>270/3=90</em></u>

And there we have it the measure of angle x is 90 degrees

4 0
3 years ago
2/3x + 1/4 = 46/6x - 1/3
labwork [276]

Answer:

x = 1/12

Step-by-step explanation:

2/3x + 1/4 = (8x+3) /12   (create equivalent fractions with a denominator of 12)

23/3x - 1/3 = (23x - 1) /3            *(46/6x = 23/3x)

<u>8x + 3</u>  =  <u>23x - 1</u>

    12            3

now cross-multiply:

3(8x + 3) = 12(23x - 1)

24x + 9 = 273x - 12

9 = 252x - 12

21 = 252x

x = 21/252 which reduces to 1/12

3 0
3 years ago
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