MATHEMATICS COLLEGE

Determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001.

Answers

Answer 1
Answer:

Answer: 9

Step-by-step explanation:

Tₙ ₊ ₁  < 0.001

1 / ( (n+1) 3 +1 ) < 0.001

(n+1)3 + 1 > 1000

(n+1)3 > 999

n+1 > 9.9966

n = 8.9966 => n = 9

I should take n = 9 to be sure that the error is less than 0.001.

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What is a categorical variable

Answers

It's a variable that deals with various labels, rather than the usual type of numeric variable you may be used to.

One example of a categorical variable is color. You could have red, green, blue, yellow, and orange as the five choices for your categorical variable. Each color is a label or category.

This is an example of a qualitative variable. We don't have any numeric data attached to color. They're simply names or labels. In contrast, a quantitative variable is something like a person's height since a number is attached here (more specifically its a continuous quantitative variable).

the letters for the words lake Okeechobee are placed in a jar. What is the probability a vowel is chosen

Answers

There are  6 vowels out of 10 letters in this word so
Prob( a vowel is chosen)  = 6/10  or 3/5  answer

Need help
6n - 3(2n - 5)

SHOW ALL WORK!

Answers

6n - 3(2n-5)

mutiply the bracket by -3

(-3)(2n)= -6n

(-3)(-5)= 15

6n-6n+15

0+15

answer:

15
6n-3(2n-5)
6n-(6n-15)
6n-6n+15
(6n-6n)+15
=15

A family uses 15 gallons of milk every 3 weeks. At that rate, about how many gallons of milk will they need to purchase in a year’s time?Give your answer as a whole number.
ONLY ANSWER IF YOU KNOW THE ANSWER

Answers

Answer:

87 gallons

Step-by-step explanation:

5 gallons: 3 weeks = x gallons: 52 weeks

5/3 = x/52

3x = 260

x= 86.6, about 87 gallons

The bases on a softball field are square what is the area of each base if the width is 15 in and the length is 15 inches

Answers

Answer:

The area is 225 square inches

Step-by-step explanation:

Area of a square = side x side

A = 15 x 15

A = 225

Given the expression 2x(y + z)2, which is TRUE? A) The factor 2x depends on (y + z)2. B) The factor (y + z)2 depends on 2x. C) The factors 2x and (y + z)2 are dependent of each other. D) The factors 2x and (y + z)2 are independent of each other.

Answers

If we assume that x, y, and z are independent variables, then the appropriate choice is ...
  D) The factors 2x and (y + z)² are independent of each other.
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