The two-column proof should be completed with the following reasons that justifies the statements;
Statement Reason_______
XZ + ZY = XY a. Transitive Property
3(n - 2) + 3n = 36 b. Distributive Property
3n - 6 + 3n = 36 c. Combine like terms
6n - 6 = 36 d. Addition Property of Equality
6n = 42 e. Division Property of Equality
n = 7 f. Division Property of Equality
In Euclidean Geometry, the Segment Addition Postulate states that when there are two end points on a line segment, a third point would lie on the line segment, if and only if the magnitude of the distances between the end points satisfy the requirements of these equations;
3(n - 2) + 3n = 36 (Distributive Property)
3n - 6 + 3n = 36 (Combine like terms)
6n - 6 = 36 (Addition Property of Equality)
6n = 42 (Division Property of Equality)
n = 7 (Division Property of Equality)
This ultimately implies that, the Segment Addition Postulate is only applicable on a line segment that contains three collinear points.
Read more on Segment Addition here: brainly.com/question/17335225
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Answer:
62/7
Answer:
Siti bought 13 blue buttons
Step-by-step explanation:
for not to get confused, we are going to solve the problem step by step
Siti had 135 buttons
5/9 of the buttons were red and the rest were blue
let's calculate how many buttons were red out of 135
135 * 5/9 = 75
if 75 buttons were red and the rest were blue, we can calculate how many were blue
135 - 75 = 60
says she only use 64 red buttons
if we had 75 red buttons and she used 64
75 - 64 = 11
she tells us that she had 84 buttons left, from which we know she had 11 red buttons that had been left over and 60 blue ones that she did not use, so we can calculate how many blue buttons she bought since we have the total number of buttons that she has now
84 - 60 -11 = 13
Siti bought 13 blue buttons
b)The original pulse rates are measured with units of "beats per minute." What are the units of the corresponding z-scores?
Answer:
a) Mean=0 and Standard deviation=1
b) The z-scores have no units of measurement
Step-by-step explanation:
When we convert all the pulse rates of women to z-scores using the formula;
the mean is 0 and the standard deviation is 1.
The reason is that, the resulting distribution of z-scores forms a normal distribution which has a mean of 0 and a standard deviation of 1.
b) The z-scores are standardize scores and has no units of measurement. They give us how many standard deviations below or above the mean of the corresponding values.
Converting pulse rates into z-scores standardizes them into a standard normal distribution, yielding a mean of zero and a standard deviation of one. Z-scores are dimensionless and do not carry original physical units of measurement.
The question is asking about the properties of a z-score in the context of pulse rates of women. Here is the answer:
a) When converting to z-scores, regardless of the population parameters, the mean (μ) will always be 0 and standard deviation (σ) always 1. This conversion process is called standardization, which results in a standard normal distribution.
b) In the context of z-scores, the units are dimensionless. Because a z-score result is derived from a mathematical manipulation and not a direct measurement, it does not carry physical units like "beats per minute" in pulse rates. This characteristic enables us to make meaningful comparisons between different types of data.
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Answer:
-5 degree celcius
Step-by-step explanation:
-5 < - 2
-5 degree celcius is colder.
Answer:
Celsius
Step-by-step explanation:
Celsius is colder.
I think its 625, deeply sorry if it is not.
Answer:
$600
Step-by-step explanation:
a.) 1/6
b.) 1/7
c.) 7/6
d.) 6/7