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enot [183]
3 years ago
14

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
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