If Z is the midpoint of RT, what are x, RZ, and RT
2 answers:
Answer:
Option C is the correct choice.
Step-by-step explanation:
We have been given that Z is the midpoint of line segment RT. We are asked to find the value of x, RZ and RT.
Since Z is the midpoint of line segment RT, so RZ will be equal to ZT. So, we can set an equation as:
Therefore, the value of x is 20.
To find the value of RZ, we will substitute in expression
as:
Therefore, the length of RZ is 150 units.
Since Z is the midpoint of line segment RT, so length of RT would be 2 times length of RZ.
Therefore, the length of RT is 300 units.
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Answer:
Step-by-step explanation:
The empirical rule, also known as three-sigma rule or 68-95-99.7 rule, "is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)".
Let X the random variable who represent the courtship time (minutes).
From the problem we have the mean and the standard deviation for the random variable X.
So we can assume
On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:
• The probability of obtain values within one deviation from the mean is 0.68
• The probability of obtain values within two deviation's from the mean is 0.95
• The probability of obtain values within three deviation's from the mean is 0.997
So we need values such that
For this case we want to find this probability:
And we can find this probability on this way:
Since by the complement rule we have that:
And because for this case 62 is the mean.
So then we have this:
Answer:
Check the step by step explanation
Step-by-step explanation:
The surface area of a prism can be calculated using the formula below;
H = height of the prism
B = Base's area
P = perimeter of the base
They are the same because the same formula is used for the surface area of a rectangular prism and the surface area of a triangular prism.
THE DIFFERENCE BETWEEN THEM IS THIS;
1) for triangular prism,
The perimeter of the base of triangular prism is calculated using g the formula below;
P= the perimeter
a,b,c = the length of each of the three making up the triangle
While the AREA of the base of the tria gular prism is calculated using the below formula
A= 1/2 * b* h
A= Area
2) Rectangular prism
perimeter of the base of rectangular prism can be calculated using the formula below;
L = length of the rectangle
W= width of the rectangle
The area of the rectangle can be calculated using the formula below;
A= area of the rectangle
W= width of the rectangle