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Margarita [4]
3 years ago
12

Find the product of (2x + 5y)(2x − 5y).

Mathematics
2 answers:
Nana76 [90]3 years ago
7 0
The final answer for this is 4x^2-25y^2.
Whitepunk [10]3 years ago
4 0

Answer:

Option D  is correct.

the product of (2x+5y)(2x-5y) is, 4x^2-25y^2

Step-by-step explanation:

Using identity rule:

(a+b)(a-b) = a^2-b^2

To find the product of:

(2x+5y)(2x-5y)

Apply the identity rule:

here, a = 2x and b = 5y then

(2x+5y)(2x-5y) =(2x)^2-(5y)^2

=4x^2-25y^2

Therefore, the product of (2x+5y)(2x-5y) is, 4x^2-25y^2

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Answer:

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Step-by-step explanation:


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3 years ago
IF KOBE HAD 8 DUNKS AND LEBRON HAD 10, HOW MANY MORE DUNKS DID LEBRON HAVE THEN KOBE?
pav-90 [236]

Answer:

2

Step-by-step explanation:

10-8

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3 years ago
Read 2 more answers
thomas buys a cardboard sheet that is 8 by 12 inches. let x be the side lenghth of each cut out. create an equation for the volu
nikitadnepr [17]
Hi there! 

Lets dive into the problem, starting with the equation for volume; length x width x height.

If it's 8 x 12 inches, That means the height is 8 and the length is 12. The side, or width, would be x.

The equation should be 8 times 12 times x, or (8)(12)(x).
8 0
3 years ago
In a random sample of 80 teenagers, the average number of texts handled in a day is 50. The 96% confidence interval for the mean
Nastasia [14]

Answer:

a) \bar X =\frac{46+54}{2}=50

And the margin of error is given by:

ME= \frac{54-46}{2}= 4

The confidence level is 0.96 and the significance level is \alpha=1-0.96=0.04 and the value of \alpha/2 =0.02 and the margin of error is given by:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

We can calculate the critical value and we got:

z_{\alpha/2} = 2.05

And if we solve for the deviation like this:

\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}

And replacing we got:

\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45

b) ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor \sqrt{2}

Step-by-step explanation:

Previous concepts  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n=80 represent the sample size  

Solution to the problem

Part a

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

For this case we can calculate the mean like this:

\bar X =\frac{46+54}{2}=50

And the margin of error is given by:

ME= \frac{54-46}{2}= 4

The confidence level is 0.96 and the significance level is \alpha=1-0.96=0.04 and the value of \alpha/2 =0.02 and the margin of error is given by:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

We can calculate the critical value and we got:

z_{\alpha/2} = 2.05

And if we solve for the deviation like this:

\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}

And replacing we got:

\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45

Part b

For this case is the sample size is doubled the margin of error would be:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor \sqrt{2}

5 0
3 years ago
Find the value of x.<br> 7<br> D<br> 3<br> B В<br> х<br> С<br> X =
bekas [8.4K]

Answer:

x = \sqrt{30}

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of Δ ABC )² = (part of hypotenuse below it ) × ( whole hypotenuse )

x² = 3 × (3 + 7) = 3 × 10 = 30 ( take the square root of both sides )

x = \sqrt{30}

7 0
3 years ago
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