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3 years ago

The nth term of a sequence is n squared +20

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

7 0

Step-by-step explanation:

1 x 1 + 20 =21

2×2+20=24

3×3+20=29

only 5 terms less than 50

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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

3 years ago

Rewrite exponential expressions

Dahasolnce [82]

Answer:

A = 48

Step-by-step explanation:

In this equation, we can factor out the expression $(\frac{1}{7} )^x$ . If we do so, the expression becomes:

$(\frac{1}{7})^x((\frac{1}{7})^{-2} - 1)$

We can simplify to get:

$(\frac{1}{7} )^x(49 - 1)$

and get:

$48*(\frac{1}{7})^x$

Therefore, A = 48

8 0

2 years ago

Question 8

mafiozo [28]

Answer

Step-by-step explanation:

8 0

3 years ago

Area of regular polygons

Finger [1]

Hello!

To find the area of a hexagon you do 3 $\frac{3 \sqrt{3} }{2} } a^{2}$ where a is one of the sides

Since the perimeter is 60 we can do 60/ the sides of the shape

60/6 = 10

So one side is equal to 10

you put that into the formula to get the area of a hexagon and you get 259.81

Hope this helps!

8 0

3 years ago

200 students in a high school senior class are surveyed about what majors they intend to declare in college.

vekshin1

Answer:

2/5

1/2

3/20

3/4

Step-by-step explanation:

7 0

3 years ago