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beks73 [17]
3 years ago
14

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 52.

0 minutes. Find the probability that a given class period runs between 51.25 and 51.5 minutes.
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
3 0

Answer: 0.125

Step-by-step explanation:

Given: A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed in interval (50,52).

∴ The probability density function of X will be :-

f(x)=\dfrac{1}{b-a}=\dfrac{1}{52-50}=\dfrac{1}{2}

The required probability will be:-

P(51.25

Hence, the probability that a given class period runs between 51.25 and 51.5 minutes =0.125

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r-ruslan [8.4K]

Answer: 11/2 x 15/4 = 165 /8  = 205 /8 = 20.625


Step-by-step explanation:

Multiple: 11 /2  * 15 /4  = 11 · 15 2 · 4  = 165 /8

Multiply both numerators and denominators.

5 0
3 years ago
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One end of a line segment has the coordinates (-6,2). If
CaHeK987 [17]

Answer:

The coordinates of the other end is (16,2)

Step-by-step explanation:

Given

End 1: (-6,2)

Midpoint: (5,2)

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})

So

x = \frac{x_1 + x_2}{2} and y = \frac{y_1 + y_2}{2}

Where (x_1,y_1) = (-6,2) and (x,y) = (5,2)

So, we're solving for (x_2,y_2)

Solving for x_2

x = \frac{x_1 + x_2}{2}

Substitute 5 for x and -6 for x₁

5 = \frac{-6 + x_2}{2}

Multiply both sides by 2

2 * 5 = \frac{-6 + x_2}{2} * 2

10 = -6 + x_2

Add 6 to both sides

6 + 10 = -6 +6 +  x_2

x_2 = 16

Solving for y_2

y = \frac{y_1 + y_2}{2}

Substitute 2 for y and 2 for y₁

2 = \frac{2 + y_2}{2}

Multiply both sides by 2

2 * 2 = \frac{2 + y_2}{2} * 2

4 = 2 + y_2

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4 - 2 = 2 - 2 + y_2

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3 0
3 years ago
111111111111111111111111111111111111111111111111111
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Answer:

x = 4

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

5x+4−4=24−4

5x=20

Step 2: Divide both sides by 5.

5x

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6 0
3 years ago
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Which graph models the solution set of 50x + 150y&gt;1500?
hodyreva [135]

Answer:

see attached diagram

Step-by-step explanation:

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Connect points (0,10) and (30,0) to get needed dashed line.

Then determine which region (semiplane) you have to choose. Note that origin's coordinates  (0,0)  do not satisfy the inequality 50x + 150y>1500, because

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This means that origin lies outside the needed region, so you have to choose the semiplane that do not contain origin (see attached diagram).


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slavikrds [6]

Answer:

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