Answer:
1/5
Step-by-step explanation:
Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.
Given the samples 0,1,3,4,7
Total number of samples is 5
The range is gotten by taking the difference of 2 samplesout of 5samples and this can be done in 5C2 ways.
5C2 = 5!/(5-2)!2!
= 5!/3!2!
= 5×4×3!/3!×2
= 10ways
The total outcome is therefore 10
To get the probability that the range is 4, we need to get the required outcome of getting range of 4 and this can only occur twice
The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4
The expected outcome is therefore 2
the probability that the range of the sample is 4 = expected outcome/total outcome
= 2/10
= 1/5
Answer:
9) JK = 24.5
10) LM = 24.5
11) m∡L = 51°
12) m∡M = 129°
Step-by-step explanation:
in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent
so, ∡K = ∡M and ∡J = ∡L
since ∡'s L and M are adjacent we can add them and set them equal to 180
5z - 6 + 2z - 3 = 180
7z - 9 = 180
7z = 189
z = 27
therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51
Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM
7x = 3x + 14
subtract 3x from each side to get:
4x = 14
x = 14/4 = 3.5
to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5
to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5
Answer:
16.8
Step-by-step explanation:
Answer:
The answer to your question is: 2x -13
Step-by-step explanation:
Simplified (8x − 7) + (-2x − 9) − (4x − 3)
8x - 7 - 2x - 9 - 4x + 3
Simplified like terms 8x - 2x - 4x - 7 - 9 + 3
2x -13
