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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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write an equation in slope intercept form for the line described. perpendicular to y = -1/2x + 2/3, passes through (2,3)
Alex17521 [72]

Step-by-step explanation:

Hey there!

Follow the steps to get answer.

  • Use one point formula and find 1st equation.
  • After that you find the slope of second equation.
  • Use the condition of perpendicular lines and find the slope of first equation.
  • Put slope value of equation in equation (i) and simplify them to get equation.

The equation of a line passing through point (2,3) is;

(y-3)= m1(x-2).......(i).

Another equation is;

y =  \frac{ - 1}{2} x +  \frac{2}{3}

2nd equation..

Now, From equation (ii)

We have;

Comparing equation (ii) with y = mx+c.

We get;

Slope = -1/2.

For perpendicular lines,

m1 \times m2 =  - 1

m1 \times  \frac{ - 1}{2}  =  - 1

Therefore the slope is 2.

Put value of slope (m1) in equation (i). We get;

(y - 3) = 2(x - 2)

Simplify them to get equation.

(y - 3) = 2x - 4

y = 2x - 1

Therefore the required equation is y = 2x-1.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>

4 0
3 years ago
How many times does the graph of the function below intersect or touch the x-axis? y= -x^2+x+6
MariettaO [177]
2 times, once at 3 and once at -2
4 0
3 years ago
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Y = 2x + 3
BARSIC [14]

Answer:

Infinite solution

Step-by-step explanation:

There is 3 possible solutions to a system of linear equations:

  • One solution - two distinct lines that do not share y-intercept or slop intersect at a point
  • No solution - two distinct lines that share the same slope but not the same y-intercept never intersect and are parallel
  • Infinite solution - one distinct function represented two ways which in simplest form share the same slope and y-intercept

The first equation is in simplest form y=2x+3.

The second equation 2y=4x+6 when simplified becomes y=2x+3.

These are the same lines with the same slope and y-intercept. Therefore, they have infinite solutions.


3 0
3 years ago
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What is the median of this data set?<br> 22, 37, 49, 15, 12
blsea [12.9K]

Answer:

the answer is 22

Step-by-step explanation:

12,15,22,37,49

since 22 is in the middle its the median (make sure you put the #'s from least to greatest)

6 0
1 year ago
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Determine if the figures are similar. If they are, what is the scale factor from the first figure to the second figure?
lora16 [44]

Answer:

The scale factor is \frac{3}{2}

Step-by-step explanation:

Yes the figures are similar to each other. The ratio of their linear measurements is in uniform ration

The ration of radius of large cylinder (R) to that of the smaller cylinder (r) is

\frac{18}{12} \\\frac{3}{2}

Like wise the ration of height of large cylinder (H) to that of the smaller cylinder (h) is

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The scale factor is \frac{3}{2}

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