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4 years ago

A pattern is describe by an= 3n -5 what are the first four ters of the sequence?

Mathematics

1 answer:

Allisa [31]4 years ago

8 0

9514 1404 393

Answer:

-2, 1, 4, 7

Step-by-step explanation:

Start with n=1. Put the value where n is in the expression and do the arithmetic.

a1 = 3·1 -5 = -2

a2 = 3·2 -5 = 1

a3 = 3·3 -5 = 4

a4 = 3·4 -5 = 7

You may notice that each term is 3 more than the previous one.

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3 years ago

SCCoast, an Internet provider in the Southeast, developed the following frequency distribution on the age of Internet users. Fin

Tomtit [17]

Answer:

Mean: 40.17 years.

Standard deviation: 10.97 years.

Step-by-step explanation:

The frequency distribution is in the attached image.

We can calculate the mean adding the multiplication of midpoints of each class and frequency, and dividing by the sample size.

The midpoints of a class is calculated as the average of the bounds of the class.

Then, the mean can be written as:

$E(X)=\dfrac{1}{N}\sum f_iX_i\\\\\\E(X)=\dfrac{1}{60}(3\cdot15+7\cdot25+18\cdot35+20\cdot45+12\cdot 55)=\dfrac{45+175+630+900+660}{60}\\\\\\E(X)=\dfrac{2,410}{60}=40.17$

The standard deviation can be calculated as:

$s=\sqrt{\dfrac{1}{N-1}\sum f_i(X_i-E(X))^2}\\\\\\s=\sqrt{\dfrac{1}{59}[3(15-40.17)^2+7(25-40.17)^2+18(35-40.17)^2+20(45-40.17)^2+12(55-40.17)^2]}$

$\\\\\\s=\sqrt{\dfrac{1}{59}( 1,900.59 + 1,610.90 + 481.12 + 466.58 + 2,639.15 )}\\\\\\s=\sqrt{\dfrac{ 7,098.33 }{59}}=\sqrt{120}=10.97$

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3 years ago

When you measure an angle you usually have to choose between two numbers because

Snezhnost [94]

Answer:

B= 25°

A=138° /139°

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2 years ago

Need help with this please

Sav [38]

Your going to have to use the distance formula for these questions which is the square root of (x sub 2 - x sub 1) + (y sub 2 - y sub 1). For number 1 your coordinates are (-5,5) and (1,-2). Substituting these values into the formula your answer for number 1 is 9.2.

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3 years ago

Convert the exponential function to the form indicated. (Round all coefficients to four significant digits.) f(x) = 2.5 e^(-0.7

Jobisdone [24]

$f(x)=2.5e^{-0.7x}=2.5\left(e^{-0.7}\right)^x\\\\A=2.5\\\\b=e^{-0.7}$

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4 years ago