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3 years ago

10

-5X +1 92 - 321+13 - 12X

1 answer:

Bogdan [553]3 years ago

8 0

Answer:

Step-by-step explanation:

There’s no equal sign.

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The table lists the speeds of the fastest roller coasters in North America and Asia.

kotykmax [81]

The difference of the means of the two data sets is = 4.57

The mean absolute deviation of the roller coaster speeds in North America is 13.3

The mean absolute deviation of the roller coaster speeds in Asia is 16.8

<h3>How to solve for the means</h3>

First we have to start with the data for North America

128, 120, 100, 93, 92, 80.8, 85, 82, 80, 77

To get the mean you have to sum up the values and divide through by the total number 10

937.8/10

Mean = 93.78

Mean Absolute Deviation = (128 - 93.78) + ( 120 - 93.78) + ( 100 - 93.78) + ( 93 - 93.78) + ( 92 - 93.78) + ( 80.8 - 93.78) + ( 85 - 93.78) + ( 82 - 93.78) + ( 80 - 93.78) + ( 77 - 93.78) / 10

133.32/10 = 13.3

For Asia, we have the data as

149.1, 106.9, 95, 83, 90, 80.3, 78.3, 71.5, 69.6, 68.4

Mean for Asia = 892.1/10

= 89.21

Mean Absolute Deviation = (149.1 - 89.21) + ( 106.9 - 89.21) + ( 95 - 89.21) + ( 83 - 89.21) + ( 90 - 89.21) + ( 80.3 - 89.21) + ( 78.3 - 89.21) + ( 71.5 - 89.21) + ( 69.6 - 89.21) + ( 68.4 - 89.21) / 10

= 168.32/10

16.8

The difference in the means = 93.78 -89.21

= 4.57

Read more on means here

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6 0

2 years ago

The temperature outside was 8 degrees below zero. The next day it went up 5 degrees, followed by a decrease of 7 degrees. What i

Tatiana [17]

Hello! Your answer would be -10 degrees.

The temperature starts out eight degrees below zero. 0 - 8 = -8. Therefore, it starts off at -8 degrees.

Then, it increases by 5 degrees. Therefore, add 5 to -8. -8 + 5 = -3. Therefore, the next day has a temperature of -3 degrees.

Finally, it decreases by 7 degrees. -3 - 7 = -10. This shows us our final result - -10 degrees.

Hope this helps!

6 0

3 years ago

The volume of a paper weight in the shape of a square pyramid is 48 cm3. Find the measure of one side of the base, if the height

Ulleksa [173]

The measure of one side of the base = 4 cm

Formula for the volume of a square pyramid $V=\frac{1}{3}\times a^2h$

The area of the base of the pyramid = 16 cm²

Length of the side of the base of the pyramid = 4 cm

Solution:

Given data:

Volume of a square pyramid = 48 cm³

Height of the square pyramid = 9 cm

Formula for the volume of a square pyramid:

$$V=\frac{1}{3}\times a^2h$ , where a is one side of the base and h is height.

Substitute volume and height in the formula,

$$48=\frac{1}{3}\times a^2\times9$

$$48=a^2\times 3$

Divide by 3 on both sides of the equation,

$$16=a^2$ – – – – (1)

Taking square root on both sides of the equation, we get

a = 4

One side of the base = 4 cm

Area of the base = side × side

It is already found in equation (1),

Area of the base = 16 cm²

Length of the side of the base of the pyramid = 4 cm.

6 0

3 years ago

Read 2 more answers

Triangle ABC is an equilateral triangle. Segment AD measures 18 inches.

juin [17]

Answer:

C and D

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Factor. 9x^2+42xy+49y^2 <br> Enter your answer in the box

Sonbull [250]

$\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}$

The factorized form of the given equation is ~

$\boxed{ \sf(3x + 7y) {}^{2} }$

Let's solve ~

$\qquad \sf \dashrightarrow \: 9 {x}^{2} + 42xy + 49 {y}^{2}$

$\qquad \sf \dashrightarrow \: (3x) {}^{2} + 2(3x \times 7y) + (7y) {}^{2}$

Now, as we can see, an Identity is applied here ~

that is ;

$\qquad \sf \dashrightarrow \: {a}^{2} + 2ab + {b }^{2} = (a + b) {}^{2}$

So, let's use this identity in our next step, taking :

a = 3x

b = 7y

$\qquad \sf \dashrightarrow \: (3x + 7y) {}^{2}$

6 0

2 years ago