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IRINA_888 [86]
3 years ago
5

8m-6(-8m+4)= ??????????????????

Mathematics
1 answer:
dangina [55]3 years ago
5 0
The answer is 8m im serious
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Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total of 416 times. Calculations show that the probabil
elena-14-01-66 [18.8K]

Answer: The probability of this ocurring by chance is less than 0.01.

The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.

Step-by-step explanation:

Since we have given that

Number of times a coin tossed = 500

Number of times head occurs = 416

So, our Z-score would be

Z_\alpha =\dfrac{416}{500}=0.832

So, At significance level of 0.01, p-value of Z-score is .202704.

and p-value < 0.01, i.e. 0.202704<0.832.

Hence, the probability of this ocurring by chance is less than 0.01.

The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.

7 0
3 years ago
Please help!
erik [133]
For the answer to the question above, 
1 + nx + [n(n-1)/(2-factorial)](x)^2 + [n(n-1)(n-2)/3-factorial] (x)^3 

<span>1 + nx + [n(n-1)/(2 x 1)](x)^2 + [n(n-1)(n-2)/3 x 2 x 1] (x)^3 </span>

<span>1 + nx + [n(n-1)/2](x)^2 + [n(n-1)(n-2)/6] (x)^3 </span>

<span>1 + 9x + 36x^2 + 84x^3 </span>

<span>In my experience, up to the x^3 is often adequate to approximate a route. </span>

<span>(1+x) = 0.98 </span>

<span>x = 0.98 - 1 = -0.02 </span>

<span>Substituting: </span>

<span>1 + 9(-0.02) + 36(-0.02)^2 + 84(-0.02)^3 </span>

<span>approximation = 0.834 </span>

<span>Checking the real value in your calculator: </span>

<span>(0.98)^9 = 0.834 </span>

<span>So you have approximated correctly. </span>

<span>If you want to know how accurate your approximation is, write out the result of each in full: </span>

<span>1 + 9(-0.02) + 36(-0.02)^2 + 84(-0.02)^3 = 0.833728 </span>

<span> (0.98)^9 = 0.8337477621 </span>

<span>So it is correct to 4</span>
5 0
3 years ago
Read 2 more answers
Solve for w. 3w+8/2=25 Enter your answer in the box. Please help me!!
Nikitich [7]
W=14<span>
And i put my answer in the box.</span>
6 0
3 years ago
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Ethan is conducting an experiment to determine whether a new medication is effective in reducing sneezing. He finds 1,500 volunt
Ghella [55]
Ethan can conclude that the new medication is effective in reducing sneezing, because the group that received the new medication showed lower signs of sneezing, which was the purpose of the medication.
8 0
3 years ago
Read 2 more answers
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