Let's put this in terms of a system of equations. Let's call the numbers x and y, with x being the larger integer and y the smaller one. Since they are consecutive odd integers, we know that:
x = y + 2
The constraint is:
xy= 3(x+y) + 71 Simplify
xy = 3x + 3y + 71 Plug in (y+2) for x:
(y + 2) y = 3(y + 2) + 3y + 71 Simplify
y² + 2y = 3y + 6 + 3y + 71 Subtract 6y from both sides, add 71+6
y² -4y = 77
y² - 4y - 77 = 0
Factor:
(y - 11) (y+7) = 0
y = 11 or y=-7
When y = 11, x = 13, since x = y+2
Plug in to make sure:
xy = 3(x+y) + 71
11*13 = 3 (11 + 13) + 71
143 = 3 (24) + 71
143 = 72 + 71
143 = 143
Our values work!
Answer: 11, 13
Answer:
The given statement describe inferential statistics.
Step-by-step explanation:
Descriptive Statistic:
- It helps us to summarize a given data set.
- It could describe the entire population or a sample from the population.
- There are two types of descriptive measures: measures of central tendency and measures of variability
- Central Tendency: Mean, mode, Median
- Measure of Viability: Standard Deviation, Variance, Range, Interquartile range
Inferential Statistic:
- It s the process of estimating population parameter with the help of a sample from the population.
- A random sample from the population is used to describe the population with the help of sample statistic.
Given Scenario:
"Based on a sample of 170 truck drivers, there is evidence to indicate that, on average, independent truck drivers earn more than company-hired truck drivers."
Thus, this is an example of a inferential statistics as a sample was used to estimate the population.
Here,
Sample:
Sample of 170 truck drivers
Population:
All truck drivers.
With the help of a sample, we approximated the population, thus, this statement describe inferential statistics.
2n+9+5n=30 combine like terms on left side
7n+9=30 subtract 9 from both sides
7n=21 divide both sides by 7
n=3
Answer:
6x^2 + 4x
Step-by-step explanation:
g(x) + f(x)
= -8x^2 - 3x + 5 + 2x^2 + 7x - 5
= -8x^2 + 2x^2 - 3x + 7x + 5 - 5
= - 6x^2 + 4x
Well D I would think because 52 is greater than the other number :)
Hope this helps ^W^
