Step-by-step explanation:
When you complete the square, you change the equation so that the left side of the equation is a perfect square trinomial. But mainly completing the square is a technique that transforms your quadratic equation from an equation that can't be factored into one that can.
Answer: 9% parameter, 3% statistic
Step-by-step explanation: Parameter and statistic are are statistical terms used to describe a group or observation.
However, the distinction between a parameter and a statistic is in the measured observation.
Parameter is used to describe an entire population while statistic is used to describe a sample.
Where a population refers to the entire number of people or inhabitant of a particular country while a sample refers to a subset of observation drawn randomly from a population which serves a representative of the entire population.
In the question above, 9% is used to make a description of the whole American population who are at least 75 years of age. While,
3% is used to describe a subset of the American population (sample) who are 75 years or older.
Answer:6 ÷ 4x = 15
Step-by-step explanation:
six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15
Answer:
- -35/3, -140/3, - 560/3, -2240/3
- 7, -28, 112, - 448
Step-by-step explanation:
<u>The terms are:</u>
<u>Given:</u>
- a₁ = a₂ + 35
- a₃ = a₄ + 560
<u>Use the nth term formula:</u>
- a₂ = a₁r
- a₃ = a₁r²
- a₄ = a₁r³
<u>Substitute:</u>
- a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
- a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560
<u>Divide the second equation by the first:</u>
- r² = 560/35
- r² = 16
- r = √16
- r = ± 4
<u>Use the first equation to find the first term:</u>
- a₁( 1 ± 4) = 35
- 1. a₁ = 35/-3 = -35/3
- 2. a₁ = 35/5 = 7
<u>We have two sequences:</u>
r = 4
- -35/3, -140/3, - 560/3, -2240/3
r = -4
Answer:
Step-by-step explanation:
The given series is:
The series is not very lengthy so we can write the expanded form;
This implies that;
