Answer:
The probability that a randomly chosen tree is greater than 140 inches is 0.0228.
Step-by-step explanation:
Given : Cherry trees in a certain orchard have heights that are normally distributed with 
inches and 
inches.
To find : What is the probability that a randomly chosen tree is greater than 140 inches?
Solution :
Mean - inches
Standard deviation - inches
The z-score formula is given by, 
Now,
The Z-score value we get is from the Z-table,
Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.
Answer:
(a)|MA|, |MB| and |MC|
(b) |BD|
(c) |BC|
Step-by-step explanation:
An adapted diagram of this question is attached. You can vary the labelled letters as required.
<u>Definition</u>
- A <u>radius </u>is a line drawn from the center of a circle to its circumference.
- A <u>segment </u>is a line that connects two points.
- A <u>diameter</u> is a chord which passes through the center of the circle.
- A <u>chord</u> is any line joining two points on the circles' circumference.
By these definitions:
(a)Segments that are radii of this circle.
We have: |MA|, |MB| and |MC|
(b)Segment that is a diameter of this circle.
|BD|
(c)A chord of this circle that is not a diameter.
|BC|
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:
15 and 21
Step-by-step explanation:
Given the n th term formula
T = 2n + 5
To find the 5 th and 8 th terms substitute n = 5 and n = 8 into the formula
= (2 × 5) + 5 = 10 + 5 = 15
= (2 × 8) + 5 = 16 + 5 = 21
To find the first number, just multiply the three numbers together.
To find the second number, multiply the three numbers together along with another number (this number can be anything).
<u>What They Have in Common:
</u><u />- All numbers will be even, since you are multiplying by 2.
- All numbers will end in a zero, since you are multiplying by 5 and also 2.
