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3 years ago

Find the 6th term of a geometric sequence with t1=5 and r = -1/2

1 answer:

5 0

In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,

An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.

Substitute the known values to the equation,

An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32

Hence, the answer to this item is the third choice, -5/32.

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A high school club has 10 members who are seniors and 8 members who

Taya2010 [7]

Answer:

The probability that the person will not be a senior

P(E⁻) = 1 - P(E)

= $1- \frac{5}{9} = \frac{4}{9}$

Step-by-step explanation:

Explanation:-

Given A high school club has 10 members who are seniors and 8 members who are juniors

n(S) = 10 + 8 = 18

If a member is randomly selected to be the club president

Let 'E' be the event that the person will be a senior

The probability that the person will be a senior

$P(E) = \frac{n(E)}{n(S)}$

$P(E) = \frac{n(E)}{n(S)} = \frac{10}{18} = \frac{5}{9}$

The probability that the person will not be a senior

P(E⁻) = 1 - P(E)

= $1- \frac{5}{9} = \frac{4}{9}$

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3 years ago

1. Pick a sport and name two categorical variables and two numerical variables

Varvara68 [4.7K]

Answer:

Football

Categorical variables:

Type of game= Ball game

Governing body= Federation Internacionale de Football Association (FIFA)

Numerical Variables

Number of players in each team= 11

Number of teams involved= 2

Step-by-step explanation:

A categorical variable is data about a subject that tells its category, type or description. It answers the what, when, why, which, and where questions. The game of football is categorized as a ball game and the governing body that supervises it is FIFA. This answers the question of 'Which governing body supervises the game of football?

Numerical variables give details of a subject in terms of figures, or measurements. To answer the question of how many people play the game of football in each team, we state that there are 11 players and the number of teams that can play at the same time is 2.

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3 years ago