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patriot [66]
3 years ago
14

If PQRS is a parallelogram, what is the value of y

Mathematics
2 answers:
Nonamiya [84]3 years ago
7 0

Answer:

C.52

Step-by-step explanation:

In a parallelograms opposite sides are congruent

This means that side SP = side RQ as they are opposites

Hence 1/4y = 13

Note that we've just created an equation that we can use to solve for y.

We now solve for y algebraically using the equation we've just created

1/4y = 13

Divide both sides by 1/4

1/4y / 1/4 = y

13 / 1/4 = 52

We're left with y = 52

777dan777 [17]3 years ago
7 0
Below is step by step explanation
Hope it helps u

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we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to
Maksim231197 [3]

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

42% of freshmen do not visit their counselors regularly.

This means that \pi = 0.42

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}

\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2

n = 1076.8

Rounding up:

A sample of 1077 is required.

3 0
3 years ago
1.The diameter of a circle is 20m. Find the circumference to the nearest tenth
Temka [501]

Answer:

62.8

Step-by-step explanation:

The formula for circumference is 2(pi)r

Let's plug in the values.

Well, we know the diameter, and since the radius is 1/2 the diameter, but then you multiply by 2 again, you don't have to change anything. Therefore, another formula is (pi)<em>d</em>

3.14 x 20

= 62.8 is your answer. And the answer is already rounded to the nearest tenth, so nothing is left to do!

<em>Hope this helps!</em>

3 0
3 years ago
It don’t make no sense
Soloha48 [4]
Yes it does not, i want my free points
6 0
3 years ago
Help me with this please​
LenKa [72]

Answer: D. 3 x 10^7

Step-by-step explanation: 9.6/3.2=3 and 10^9/10^2 is 9-2=7, so 10^7, so it would be 3 x 10^7.

7 0
3 years ago
Read 2 more answers
Multiple or divide as indicated 2x/4x+2 x 14 x+7/6
otez555 [7]
<span>2x/4x+2 x 14 x+7/6 is unclear.  Do you mean 2/4x, or do you mean  2x
                                                                                                           --------  ??
                                                                                                            4x+2
Use parentheses to make things clearer.

I will assume that you meant to write

   2x
--------- * 14x + 7/6
4x + 2

but am very much unsure if this is correct or not.



Perhaps you meant 

</span>2x/(4x+2) times 14(x+7/6)
<span>
This comes out as follows:

 2x * 14 (x + 7/6)        28x(x + 7/6)        14x(x + 7/6) 
------------------------ = ------------------- = --------------------
       4x+2                        2(2x + 1)              2x + 1         after reduction.

Performing the multiplication, we get            14x^2 + 98/6
                                                                     --------------------
                                                                              2x+1
</span>  

It appears that you're using "x" both as a variable name and as the "multiply" operator.  If so, please don't!  Use " * " to indicate multiplication.
<span>
</span>Please take and share a screen shot of this problem.
3 0
3 years ago
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