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3 years ago

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Write the equation for the Graph in Vertex form ( `y=a\left(x-h\right)^{2}`+ k) below by first determining the values of h and k

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List all of the equations, numbers, and units that they gave us? Helppppppp answer this.

1 answer:

shepuryov [24]3 years ago

3 0

Answer:

I this all for the question

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Find and interpret the mean absolute deviation of the data.

Zinaida [17]

Answer:

The mean absolute deviation is 4

Interpertation: The average distance between each data value and the mean is 4 which is the variation in the data set so you can understand how "spread out" each data point is from each other

Step-by-step explanation:

The mean absolute deviation is a measure of how much a data set varies.

<em>Step 1: Compute the mean</em>

mean = the sum of all the terms / number of terms

mean = 94 + 86 + 95 + 99 + 88 + 90 / 6

= 552 / 6

= 92

The mean is 92

<em>Step 2: Finding the absolute deviation</em>

You would take each number in the data set and subtract it from the mean, take the absolute value. After you take the sum of the absolute data values

|data set #1 - mean| + |data set #2 - mean| + ... + |data set #6 - mean|

= |94 - 92| + |86 - 92| + |95 - 92| + |99 - 92| + |88 - 92| + |90 - 92|

= |2| + |- 6| + |3| + |7| + |- 4| + |- 2|

= 2 + 6 + 3 + 7 + 4 + 2

= 24

To find the mean absolute deviation you divided the sum by total number of terms...

24/6 = 4

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set (which was step 1)

Let me know if you have any questions !

I applied to be a live tutor, Hope to impove the experience :)

Have a nice day, feel free to give me feedback

3 0

2 years ago

Maya spent 40% of her savings to pay for a bicycle that cost $60 how much was in her savings

Ahat [919]

Answer:

$150

Step-by-step explanation:

First use a proportion to find the answer:

40/100=60/x

Now we solve for x

60*100=6,000

6,000 divided by 40= 150

x=150

Therefore the answer is $150

3 0

3 years ago

Find the prime factorization of the number 12

Vsevolod [243]

First, you must use a factor tree to find the prime factors of the number.

12

/ \

6 (2)

/ \

(3) (2)

2 , 2 and 3 are the prime factors that make 12

2 x 2 x 3= 12

Or

2^2 x 3= 12

4 0

3 years ago

Rectangle with a width of 36 centimeters and a perimeter of 80 centimeters

olga2289 [7]

Answer: Height = 4 centimeters

Area = 144 cm^2

Step-by-step explanation:

So we know that on a rectangle opposite sides are equal in distance.

If one side of the rectangle is 36 centimeters then that means the opposite side is also 36 centimeters.

36 + 36 = 72 centimeters

The perimeter is the sum of all sides, so two out of the four of our sides total to 72 centimeters. So the remaining length of both sides is as follows:

80 - 72 = 8

The sum of the remaining sides is 8 so divide it between the two and that is the height.

8/2 = 4

I'm not sure what the question wants so here is pretty much everything:

Height: 4 cm

Area: 144 cm^2

7 0

3 years ago

Find the lengths of the missing side . Simplify all radicals !!!<br> help mee!!!!!!

larisa86 [58]

Answer:

$e = 13\sqrt{2}$

$f = 13\sqrt{2}$

Step-by-step explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

$sin(\theta) = \frac{opp}{hyp}$

$sin(\theta) = sin(45) = \frac{\sqrt{2}}{2}$

hyp = 26

opp = e = ?

Plug in the values into the formula

$\frac{\sqrt{2}}{2} = \frac{e}{26}$

Multiply both sides by 26

$\frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26$

$\frac{\sqrt{2}}{2}*26 = e$

$\frac{\sqrt{2}}{1}*13 = e$

$13\sqrt{2} = e$

$e = 13\sqrt{2}$

Since side e is of the same length with side f, therefore, the length of side f = $13\sqrt{2}$

3 0

3 years ago