We have been given that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.
We will use sum of geometric sequence formula to solve our given problem.
, where,
a = First term of sequence,
r = Common ratio,
n = Number of terms.
For our given problem 
, 
and 
.
Therefore, the ball will travel 100 meters and option B is the correct choice.
Answer:
Step-by-step explanation:
Given that points scored is the dependent variable Y and Number of people attending the game is the independent variable is independent variable x
The correlation coefficient, slope and intercept are calculated as shown below:
x y
378 54
350 57
320 59
478 80
451 82
250 75
489 73
451 53
410 67
215 78
113 67
250 56
450 85
489 101
472 99
Mean 371.0666667 72.4
std dev 117.5138087 15.42632259
covariance 667.5733333
r 0.394558035
Slope 3.005642934
Intercept 153.4581182
y = 3.006x+153.46 is the regression line.
Corre = 0.3945 (weak positive)
Answer:
35
Step-by-step explanation:
You have 17 either side to make 18 the middle e.g if 2 was the middle then you have 1 either side.
Answer:
<h3>A. The slope describes the amount of change in Y for a one-unit increase in X
.</h3><h3>B. The regression equation is the line that best fits a set of data as determined by having the least squared error.</h3>
Step-by-step explanation:
In statistics, linear regression is a analysis we do to describe the relationship between two variables. With this study, we pretend to know if there's a positive or negative correlation between those variables, if that correlation is strong or weak.
In a linear regression analysis, we modeled the data set using a regression equation, which is basically the line that best fits to the data set, this line is like the average where the majority of data falls. That means choice A is right.
When we use linear equations, we need to know its characteristics, and the most important one is the slope, which is the ratio between the dependent variable and the independent variable. Basically, the slope states the unit rate between Y and X, in other words, it states the amount of Y per unit of X. That means choice B is correct.
Therefore, the correct answers are A and B.
Answer:
6
Step-by-step explanation:
Pull terms out from of the radical,assuming positive real numbers .
