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3 years ago

What does it mean for two planes to intersect each other?

Mathematics

1 answer:

LenKa [72]3 years ago

5 0

It means when the planes cross each other it is perpendicular to each other

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the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

3 0

4 years ago

Solve the system of equations. Write you answer as an ordered pair.

lawyer [7]

Answer:

x = -4 y = -5

Step-by-step explanation:

2x + 3 = -x - 9

3x + 3 = -9

3x = -12

x = -4

y = - (-4) - 9

y = 4 - 9

y = -5

6 0

3 years ago

The table shows the amount of sugar needed to make lemonade. Are the quantities proportional? Explain which method you used and

Klio2033 [76]

Answer: Yes

Step-by-step explanation:

For the first sugar and servings part, 4 for sugar, 2 for servings.

The ratio for this example above it for sugars to servings it 2:1. So every 2 sugars is every 1 serving and this applies to every other of the sugars and servings in the table.

7 0

3 years ago

Read 2 more answers

How does the volume of a sphere compare to that of a cylinder with a height and radius equal to the radius of the sphere?

disa [49]

1) The height of the cylinder is equal to the diameter of the sphere.

3) The radius of the sphere is half the height of the cylinder.

5) The volume of the sphere is two-thirds the volume of the cylinder.

Hope this helped! :)

8 0

3 years ago

The perimeter of a square picture frame is 24 in. Find the lengths of each side of the frame.

m_a_m_a [10]

Answer:

6 inches

Step-by-step explanation:

The perimeter formula for a square is P = 4*S

P =24

s = ?

24 = 4*S Divide both sides by 4

24/4 = 4S/4

S = 6

6 0

3 years ago