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iren [92.7K]
2 years ago
10

What is the area of the figure below ? A. 12 B. 15 C. 18 D. None of these

Mathematics
2 answers:
andrey2020 [161]2 years ago
6 0

Answer:

18

Step-by-step explanation:

A=bh

A=3x4 A=3x2

12+6=18.

Maru [420]2 years ago
4 0

Step 1: Find the area of the larger rectangle

Area of a rectangle = base x height

Area = 4 x 3 = 12

Step 2: Find the area of the other rectangle

The tricky part about this one is that we aren't given the length of this rectangle. We do know, however, that the whole base of the figure is 6 and 3 units are taken up by the first rectangle. Therefore, the length of this rectangle is 3.

Area = 2 x 3 = 6

Step 3: Find the area of the figure

Now that we know the area of both rectangles by themselves, all that's left to do is add them up.

6 + 12 = 18

Answer: 18

Hope this helps!

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I need help on B and C. Not sure how I can solve those. Can someone please help me out here? Thank you for your help!
Valentin [98]

Nice job with part A on getting those correct answers.

====================================================

Part B

  • mu = mean = 43
  • sigma = standard deviation = 3

Let's calculate the z score for the raw score x = 37

z = (x - mu)/sigma

z = (37 - 43)/3

z = -6/3

z = -2

A negative z score tells us we're below the mean. Specifically, we are exactly 2 standard deviations under the mean.

If you repeat those steps for x = 46 (not changing mu or sigma), then you should get z = 1. So we're now 1 standard deviation above the mean.

Ultimately, we want to know the area under the standard normal curve (aka z curve) from z = -2 to z = 1.

Refer to the chart below which is a breakdown of the Empirical Rule. The pink areas are within 1 standard deviation of the mean. We have two regions taking up roughly 34% of the full area under the curve, so they combine to 34+34 = 68%

Then we add on another 13.5% which is the blue area on the left (between z = -2 and z = -1)

So 13.5+68 = 81.5% of the area under the curve is between z = -2 and z = 1.

<h3>Answer: 81.5</h3>

Note: the percent sign is already taken care of for us, so there's no need to type it in. But the answer above of course means 81.5% and that answer is approximate.

====================================================

Part C

Let's find the z score for x = 34. The values of mu and sigma are the same as before.

z = (x - mu)/sigma

z = (34-43)/3

z = -9/3

z = -3

So computing P(X > 34) is the same as P(Z > -3)

Notice how adding up all of the values in the chart mentioned gets us:

2.35+13.5+34+34+13.5+2.35 = 99.7

which means 99.7% of the distribution is within 3 standard deviations of the mean. The remaining 100% - 99.7% = 0.3% is the combined area of both tails. So each tail is (0.3%)/2 = 0.15%

In short, 0.15% of the area under the curve is to the left of z = -3

Therefore, 100% - 0.15% = 99.85% of the widgets are going to have z values larger than -3, which in turn means they have values larger than 34.

<h3>Answer: 99.85</h3>

Again you don't have to worry about the percent sign. Like before, the answer is approximate.

5 0
3 years ago
What is the inverse of the relation? <br> {(-4,1), (-4,3), (0,-8), (8,-9)}
BigorU [14]

The inverse relation would be each of these ordered pairs switched.

{(1, -4), (3, -4), (-8, 0), (-9, 8)}

This is because when you create an inverse equation, all of the inputs become outputs and all of the outputs become inputs. Therefore, the ordered pairs simply switch.

5 0
3 years ago
Find the centroid for an area defined by the equations y = x² + 3 and y = - (x – 2)² + 7
sergeinik [125]
First we need to find where the 2 graphs intercept.

x^2 + 3 = - (x^2 - 4x + 4) + 7
x^2 + 3 = -x^2 + 4x + 3
2x^2 - 4x = 0 
2x(x - 2)

x = 0 , 2. are x coordinates  of the 2 intercepts.

6 0
3 years ago
WILL MARL BRAINLIEST!!!!!!!
Salsk061 [2.6K]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
How to find the circumference of a circle that is 42m and has diameter
Nitella [24]

Answer:

Circumference of the circle is 131.88m

Step-by-step explanation:

we have to find the circumference of the given circle.

Given:

                     Diameter=42 m

          \\diameter=2*radius\\42 =2*radius\\radius=42/2\\radius=21 m

Circumference of a circle= 2\pi r

                          =2*\pi *21\\=2*3.14*21\\=42*3.14\\=131.88

So, the circumference of the circle is 131.88m

6 0
3 years ago
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