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Allisa [31]
3 years ago
7

Write an equation for the nth term of the arithmetic sequence 12,14,16,18

Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

\bf 12~~,~~\stackrel{12+2}{14}~~,~~\stackrel{14+2}{16}~~,~~\stackrel{16+2}{18}\qquad \qquad \stackrel{\textit{common difference}}{d = 2} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=12\\ d = 2 \end{cases} \\\\\\ a_n=12+(n-1)2\implies a_n=12+2n-2\implies a_n=2n+10

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Rita has $b. Sharron has $11.50 less than Rita.
taurus [48]

Answer:

h = b - 11.50

Step-by-step explanation:

Sharron(h) has 11.50 less than Rita(b)

h = b - 11.50

3 0
2 years ago
A four year old is going to spin around with his arms stretched out 100 times. From past experience, his father knows it takes a
Sati [7]

Answer:

P(X \geq0.55) \leq 0.22

Step-by-step explanation:

Using central Limit Theorem (CLT), The sum of 100 random variables;

Y=X_1+X_2+...+X_{100} is approximately normally distributed with

Y ~ N (100 × \frac{1}{3^2} ) = N ( 50, \frac{100}{9} )

The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;

N ( 50, \frac{100}{9} )

P(Y>55) =P(Z>\frac{55-50}{10/3})

P(Y>55) =P(Z>1.5)

P(Y>55) =\phi (-1.5)

P(Y>55) =0.0668

Using Chebyshev's inequality:

P(|X-\mu\geq K)\leq \frac{\sigma^2}{K^2}

Let assume that X has a symmetric distribution:

Then:

2P(X-\mu\geq K)\leq) \frac{\sigma^2}{K^2}

2P(X \geq \mu+K)\leq) \frac{\sigma^2}{K^2}

2P(X\geq0.5+0.05)\leq \frac{\frac{1}{\frac{3^2}{100} } }{0.05^2}               where: (\sigma^2 = \frac{1}{3^2/100})

P(X \geq0.55) \leq 0.22

6 0
3 years ago
Solve for x and select your answer from the multiple choices.​
Alchen [17]

Answer:

x=3

Step-by-step explanation:

3x+5=14

   -5  -5

3x=9

/3  /3

x=3

3 0
3 years ago
Read 2 more answers
First, complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pi
Whitepunk [10]

Answer: look below

Step-by-step explanation: answer 2 triangles 1 rectangle triangle Area is 6

For the rectangles is 16 and the combined area is 28!

6 0
2 years ago
Complete to show how you can find the sum by making a ten, hundred, or thousand.
Andrew [12]

8+5=

8+2+3

10+(-2)

I don't really get it though  

4 0
3 years ago
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