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3 years ago

Find the perimeter of parallelogram ABCD if AB=5 and BC=2

Mathematics

2 answers:

Serhud [2]3 years ago

5 0

Answer:

C) 14

Step-by-step explanation:

Hello

In a parallelogram:

If AB = 5 then CD = 5

and

if BC=2 then AD = 2

Then the perimenter is

P = AB + BC + CD + AD

P = 5 +2 +5 + 2

P = 14

Best regards

Over [174]3 years ago

5 0

Answer:

C.) 14

Step-by-step explanation:

P = 2(l+w)

The length is 5 and the width is 2

P = 2(5+2)

=2(7)

= 14

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morty needs $480 to buy a Tv and stereo system for his room. he received $60 in cash for birthday presents. He plans to save $ 3

IgorLugansk [536]

Hey! So this is pretty straightforward. You're given all the information already and now you just have to do some calculations.

60 + 30w = 480

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30w = 420

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It will take him 14 weeks to save up

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3 years ago

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4 years ago

The health of the bear population in a park is monitored by periodic measurements taken from anesthetized bears. A sample of the

Vikki [24]

Answer:

$182.167-2.03\frac{114.05}{\sqrt{36}}=143.580$

$182.167+2.03\frac{114.05}{\sqrt{36}}=220.754$

So on this case the 95% confidence interval would be given by (143.580;220.754)

Step-by-step explanation:

Assuming the following dataset:

77, 349,417,349, 167 , 225, 265, 360,205

145,335,40,139, 177,108, 163, 202, 22

123,439, 125,135, 86,43, 217,49, 156

119,178, 151, 61, 350, 312, 91, 89,89

We can calculate the sample mean with the followinf formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}= 182.167$

And the sample deviation with:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}=114.05$

The sample size on this case is n =36.

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".

$\bar X=182.167$ represent the sample mean

$\mu$ population mean (variable of interest)

s=114.05 represent the sample standard deviation

n=36 represent the sample size

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The point estimate of the population mean is $\hat \mu = \bar X =182.167$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=36-1=35$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,35)".And we see that $t_{\alpha/2}=2.03$

Now we have everything in order to replace into formula (1):

$182.167-2.03\frac{114.05}{\sqrt{36}}=143.580$

$182.167+2.03\frac{114.05}{\sqrt{36}}=220.754$

So on this case the 95% confidence interval would be given by (143.580;220.754)

5 0

3 years ago

What is the area of the drumhead on the drum shown below? Round to the nearest tenth

Harman [31]

There is no image posted. However, I will tell you how to solve for the area of a drum head.

Drum head is a circle shape. We will use the formula of finding the area of a circle to solve for the area of a drum head.

Area of a circle = π r²

π is pi. It is equivalent to 3.14. Though there are still a lot of numbers after 4. To ensure uniformity, π is 3.14

r is radius. It is the line from the center of the circle to the edge of a circle.

if the diameter of a circle is given, simply divide the diameter by 2 to get the radius.

Diameter is the line that starts from one end of the circle to the other passing through the midpoint of the circle.

Example:
The drum head has a diameter of 10. What is the area.

diameter is given, so we need to get the radius: 10 ÷ 2 = 5

Area = π r²
= 3.14 * 5²
= 3.14 * 25
Area = 78.50 square unit

Area is always in a square unit.

8 0

4 years ago

Expand and simplify (x-3)(x+5)

Tom [10]

Answer: x² + 2x - 15

Step-by-step explanation:

<u>Concept:</u>

When we encounter questions that ask us to simplify expressions that consist of multiple parentheses, it is suggested to use the FOIL method to ease the process.

First
Outer
Inner
Last

<u>Solve:</u>

Given

(x - 3) (x + 5)

Expand parentheses

x² + 5x - 3x - 15

Combine like terms

x² + (5x - 3x) - 15

x² + 2x - 15

Hope this helps!! :)

Please let me know if you have any questions

6 0

3 years ago