Answer:
Yes, A KLP can be reflected across the line containing KP and then translated so that Pis mapped to M.
Step-by-step explanation:
The figure shows two congruent by HA theorem (they have congruent hypotenuses and a pair of congruent angles adjacent to the hypotenuses) triangles KLP and QNM.
A rigid transformation is a transformation which preserves lengths. Reflection, rotation and translation are rigit transformations.
If you reflect triangle KLP across the leg KP and translate it up so that point P coincides with point M , then the image of triangle KLP after these transformations will be triangle QNM.
Answer:
mean = 78.4
median = 77.5
mode = 75
This is Right - skewed (positive skewness) distribution
Step-by-step explanation:
<u>Mean:-</u>
The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻
mean = 
mean (x⁻ ) = 78.4
The mean of the given data = 78.4
<u>Median:</u>
The median is found by ordering the set from lowest to highest and finding the exact middle.
64 ,75, 80, 98
The middle term of the given data set = 
<u>Mode :</u>
The mode is the most common repeated number in a data set.
64 ,75, 75, 80, 98
in data the most common number = 75
<u>Conclusion</u>:-
mean = 78.4
median = 77.5
mode = 75
This is Right - skewed (positive skewness) distribution
Answer:
The length of one side of the hot tub is 4.8ft
Step-by-step explanation:
Given
Shape: Square
-- scale factor

Required
Side length of ABCD (the hot tub)
From the question, we understand that
ABCD dilated by 5 to A'B'C'D
This implies that:
i.e. the sides of ABCD is multiplied by 5 to get A'B'C'D
So, we have:

Divide by 5

Answer:
<h2>The reliability is 0.999999.</h2>
Step-by-step explanation:
The failure rate for a guided missile control system is 1 in 1,000.
Hence, the probability that the missile will not fail is
.
According to the new system, if the first fails, the second can take over.
There are two possibilities, either the first one will be fail or not.
If the first one will not fail, then the probability will be
= 0.999.
If the first one will fail, then the probability will be
.
The reliability of the modified missile is 0.999 + 0.000999 = 0.999999.