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ZanzabumX [31]
3 years ago
7

What expression in terms of x can be used to represent the area of parallelogram PQRS?

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0

Answer:

C. (5x√2)² = 50x²

Step-by-step explanation:

Area of parallelogram = QR²

QR = √((5x)² + (5x)²) ---› pythagorean theorem

QR = √(25x² + 25x²) =

QR = √(50x²)

QR = √(25*2*x²)

QR = 5x√2

✔️Area of parallelogram = QR²

= (5x√2)² = 25x² × 2 = 50x²

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Laura wrote and solved the following expression to find the total number of beads Lina has if there are 6 beads in each packet.
bulgar [2K]
<h3>The number of beads lina has is 31</h3><h3>Laura made a mistake by adding the constant 7 and variable 4b</h3>

<em><u>Solution:</u></em>

Given that,

Laura wrote and solved the following expression to find the total number of beads Lina has

There are 6 beads in each packet

7+4b = 11b

= 11(6)

=66

From given,

Lina has a total of 7 + 4b beads

Given that, There are 6 beads in each packet

Substitute b = 6

7 + 4(6)

Simplify

7 + 24

Add

31

Thus, she has a total of 31 beads and not 66 beads

Laura made a mistake by adding the constant 7 and variable 4b

But a constant and variable cannot be added

4 0
3 years ago
Can anyone please help me graph this and tell me if the equation is correct thank you
photoshop1234 [79]

Answer:

yes it is

Step-by-step explanation:

5 0
3 years ago
Which set of numbers represents the lengths of the sides of a right triangle? 1. {7, 24, 25} 2. {9, 16, 23} 3. {10, 12, 14} 4. {
wolverine [178]
1
{7}^{2}  +  {24}^{2}  =  {25}^{2}
5 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
2 years ago
What is (5.03x -8.03) - (3.5x +6.2)?
Kryger [21]

Answer:

1.53x−14.23

Step-by-step explanation:

<em>simplify: </em>

5.03x−8.03−(3.5x+6.2)

<em>Distribute the Negative Sign:</em>

=5.03x−8.03−1(3.5x+6.2)

=5.03x−8.03−1(3.5x)+(−1)(6.2)

=5.03x−8.03−3.5x−6.2

<em>Combine Like Terms:</em>

=5.03x−8.03+−3.5x−6.2

=(5.03x−3.5x)+(−8.03−6.2)

=1.53x−14.23

4 0
2 years ago
Read 2 more answers
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