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Sunny_sXe [5.5K]

1 year ago

11

Assume a normal distribution and that the average phone call in a certain town lasted 12 min with a standard deviation of 2 min

What percentage of the calls lasted lessthan 10 min?

1 answer:

fredd [130]1 year ago

6 0

Notice that:

$P(x14)_{}=1-P(x\leq14)$

Now, we use the formula for the z-score:

$z=\frac{(14-12)}{2}=1$

Then the percentage of the calls that lasted less than 10 min is 15.87%

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Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

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Step-by-step explanation:

Let

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y---> the width of the rectangular garden

we know that

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we have

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$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

so

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

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What’s the slope to (3,5) and (-3,-5)

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5/3 is the simplified slope.

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GalinKa [24]

Answer:

Part a) The company can not build 12 chairs and 5 tables

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Step-by-step explanation:

we know that

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In this problem we have the ordered pair A(12,5)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point A is not on the feasible region

therefore

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In this problem we have the ordered pair B(18,3)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point B is on the feasible region

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Answer:

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3 years ago

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