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4 years ago

The distance between two points is √39 . One endpoint is (4,−3) . It is known that the y-coordinate of the other endpoint is 2.

Mathematics

1 answer:

Sliva [168]4 years ago

3 0

Answer:

C & D

Step-by-step explanation:

$\sqrt{(x-4)^2+(2+3)^2} =(\sqrt{39} )^2\\(x-4)^2+25=39\\(x-4)^2=39-25=14\\x-4=\pm \sqrt{(14)}\\x=4+\sqrt{14} \\x=4-\sqrt{14}$

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Assume the amount of caffeine extracted from 8 fluid ounces of coffee brewed in a drip machine is normally distributed. On avera

koban [17]

Answer:

2.3%

Step-by-step explanation:

Imagine a standard normal curve with mean at 100 mg. One standard deviation above the mean would be 110 mg; two standard deviations 120 mg.

Draw a vertical line through x = 120. To answer this question, we must find the area under the curve to the left of x = 120 and then subtract this result from 1.00:

Using a calculator with probability distribution functions built in, we find the area to the left of x = 120 as follows:

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The probability of extracting more than 120 mg of caffeine from 8 fluid ounces of coffee brewed in a drip machine is 2.3%

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3 years ago

A new building is being constructed at UT Austin. It is 200 feet tall, and has a

Mariana [72]

Answer:

Walkway is 3 feet wide.

Step-by-step explanation:

Given:

Length of the building is 150 ft

width of the building is 100 ft

walkway is x ft wide.

Total area(around and including the building) = 16536 square feet

Solution:

Length of the total area will be = length of the building + width of walkway from 2 sides = $150 +2x$

Width of the total area will be = width of the building + width of walkway from 2 sides = $100 +2x$

Now Total area(around and including the building) = Length of the total area $\times$ Width of the total area

$(150+2x)\times(100+2x)=16536\\15000+300x+200x+4x^2=16536\\500x+4x^2=16536-15000\\4(125x+x^2)=1536\\125x+x^2= \frac{1536}{4}=384\\$

$x^2+125x-384=0\\x^2-3x+128x-384=0\\x(x-3)+128(x-3)=0\\(x-3)(x+128)=0\\$

Now solving for both equation we get.

$x+128=0\\x=-128\\x-3=0\\x=3$

Now, We get 2 values for x which -128 and 3 but the width of the building can't be in negative value hence we will consider value of x be 3.

∴ Width of the walkway is 3 ft.

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3 years ago

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kolbaska11 [484]

Here is how to solve it.

65% of 160

65/100(160)

=(65/100)(160/1)

=(13/20)(160/1)

=(13)(160)/(20)(1)

=2080/20

=104

Therefore they won 104 games! :D

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4 years ago

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Nostrana [21]

So distributive property of multiplication says
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3 years ago

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