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Illusion [34]
3 years ago
13

Please help answer statistics question? Statistics professor plans classes so carefully that the lengths of her classes are unif

ormally distributed between 50.0 and 52.0 minutes. Find the probability that a given class period runs LESS than 51.5 minutes.
Find the probability of selecting a class that runs less than 51.5 min.

(Type an integer or...; Please show steps HOW to get the answer! Thanks!; This is ONLY one question that I don't get.
Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0
The duration of the class is uniformly distributed with a minimum of 50.0 minutes and a maximum of 52.0 minutes. This means the random variable for class duration X has density function

f_X(x)=\begin{cases}\dfrac1{52.0-50.0}=\dfrac12&\text{for }50.0\le x\le52.0\\[1ex]0&\text{otherwise}\end{cases}

You're looking for the probability that the class runs less than 51.5 minutes, or \mathbb P(X, which is given by the integral

\displaystyle\mathbb P(X
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7 2\3+ (5 1\6-1 5\9)
lorasvet [3.4K]
Start off with: 5 1/6 - 1 5/9
turn it into an entire fraction: 31/6 - 14/9
make a common denominator (which is 18): 93/18 - 28/18 = 93 - 28 = 65/18
65/18 + 7 2/3 is the new equation
7 2/3 = 23/3
23/3 = 138/18
65/18 + 138/18 = 203/18
Simplify: 203/18 = 11 5/18
Answer: 11 5/18  
3 0
3 years ago
Read 2 more answers
The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.
Degger [83]

Answer:

<h2><u><em>30x² − 23x − 14</em></u></h2>

Explanation:

  • Area = Length · Width

Length: (6x - 7)

Width: (5x + 2)

  • Create An Equation

(6x - 7) (5x + 2)

= (6x + −7)(5x + 2)

(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)

= 30x² + 12x − 35x − 14

  • 30x² − 23x − 14

- PNW

7 0
2 years ago
find the equation of a line that passes through (-3,1) and (-1,-2) and write it in standard form. please help me !
Savatey [412]
Find the slope first
slope=(2-1)/(-1+3)=1/4=.25

now use the slope and either point to write in point slope form
y-1=.25(x-2)
y-1=¼x-½

to rationalize all the denominators multiply by the last common multiple, here we get 4
4y-4=x-2

then put in the correct order

x-4y=-2
8 0
3 years ago
****WILL GIVE BRAINLIEST TO FIRST ANSWERER****
xz_007 [3.2K]
Let's plug in each coordinate and see what we get:

(2, 0, 0)
-> 2A + 0 + 0 = D
-> 2A = D
-> A = D/2

(0, 6, 0)
-> 0 + 6B + 0 = D
-> 6B = D
-> B = D/6

(0, 0, 5)
-> 0 + 0 + 5C = D
-> 5C = D
-> C = D/5

plugging this back into the equation:
(D/2)x + (D/6)y + (D/5)z = D    [then divide through by D]
(1/2)x + (1/6)y + (1/5)z = 1
and since we have to have integer coefficients, 
multiply through by 30

so we get
15x + 5y + 6z = 30



Second question

<span>Take a look at the bottom-left point in the picture.
If you move three points in the y-direction, you'll reach to the  point A.
 If you instead move up 4 points (or in the z-direction), you reach D.
And finally, if you walk back to point F from point E, you'll have moved back 4 points in the x direction. </span>

<span>This gives us our measurements, or dimensions: 3 x 4 x 4.
If this were a rectangular prism, the dimensions would just be each of them multiplied.
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5 0
3 years ago
How many different anagrams can you make for the word MATHEMATICS?
Alex73 [517]

Answer:

4989600

Step-by-step explanation:

The given word is MATHEMATICS

Number of letters in the given word is 11

there are 2 M's, 2 A's and 2 T's

the given word is arranged in 11! ways

three letters are repeating, so we divide by repeating occurrences

number of different arrangements =\frac{11!}{2!2!2!}

= 4989600

7 0
3 years ago
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