Let's start by writing out their factors.
4: <em><u>1</u></em><em>, </em><em><u>2</u></em><em>, </em><em><u>4</u></em>
24: <em><u>1</u></em><em>, </em><em><u>2</u></em><em>, 3, </em><em><u>4</u></em><em>, 6, 8, 12, 24</em>
The greatest factor that 
and 
have in common is .
Factor out from both terms. 
The answer would be -3 because you distribute
30b³ + 20b² + 15b + 10 = ...(:5)
6b³ + 4b² + 3b + 2 =
6b³ + 3b + 4b² + 2 =
3b(2b²+1) + 2(2b²+1) =
(2b²+1)*(3b+2)
Answer:
a. There's a 95% chance that the true proportion is in the confidence interval.
Step-by-step explanation:
When we want to estimate a property of a population (a population's parameter), without surveying the population, we use samples.
Then, with the information of the samples we can calculate the statistics and infere properties about a population. This inferences obviously came with some uncertainty, depending on the properties of the sample and specially the sample size.
When we talk about confidence intervals, we use the statistic of the sample (in this case, the mean) to estimate a range of values it is expected to find the true mean of the population. The width of this interval depends on the sample standard deviation and the sample size.
The value of the confidence interval (95%, 99%, etc) represent the probabilty that the true mean is within this interval.
Answer:
Step-by-step explanation:
Linear equation:
A linear function has the following format:
In which m is the slope and b is the y-intercept.
When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.
This means that these two points belong to the line: (30,31), (36,29).
Finding the slope:
When we have two points, the slope is given by the change in the output divided by the change in the input.
Change in the output: 29 - 31 = -2
Change in the input: 36 - 30 = 6
Slope:
Thus
Finding b:
We take one of the points and replace on the equation.
(30,31) means that 
. Thus
Thus
