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swat32
3 years ago
15

Use the Binomial Theorem to find the indicated coefficient or term.

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0

Answer:

ans: coefficient of 3rd term is 60

3rd term is 60x

Step-by-step explanation:

(5x +2)³ = C(3,2) × (5x)^(3-2) × 2²

= 3 × 5 × 4 × x

= 60x

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What is the 20th term in the sequence. f(n) = 9n - 12
Lerok [7]

Answer:

f(20) = 168

Step-by-step explanation:

To find the 20th term, substitute n = 20 into f(n) , that is

f(20) = 9(20) - 12 = 180 - 12 = 168

6 0
3 years ago
In the diagram, how many angles are supplementary but not adjacent angles with angle 7?
sweet [91]

Answer:

The answer is zero

Step-by-step explanation:

5 0
3 years ago
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What are the mean absolute deviation and population standard deviation of this data set? Round to the nearest tenth if necessary
tekilochka [14]

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The mean is:

M = \frac{x_1 + x_2 + ... + x_n}{N}

The mean absolute deviation is:

MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}

And the population standard deviation is:

PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}

In this case, our set has 5 elements, and the set is:

{2, 4, 6, 9, 14}

The mean of this set is:

M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7

The mean absolute deviation is:

MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6

And the population standard deviation is:

PSD =  \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2

6 0
3 years ago
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
oksano4ka [1.4K]
7+x is the awnser

unless you meant to type “A number is more than 7” then it would be x>7
7 0
2 years ago
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A 3-gallon container of window cleaner costs $20.64. What us the price oer cup?
Eduardwww [97]

Answer:

yes

Step-by-step explanation:

indeed

5 0
3 years ago
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