Answer:
b) 6.68%
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean score on the scale is 50. The distribution has a standard deviation of 10.
This means that 
Matthew scores a 65. What percentage of people could be expected to score the same as Matthew or higher on this scale?
The proportion is 1 subtracted by the p-value of Z when X = 65. So



has a p-value of 0.9332.
1 - 0.9332 = 0.0668
0.0668*100% = 6.68%
So the correct answer is given by option b.
Answer:
x=16 and y=9
Step-by-step explanation:
2y+30=3y+21[Diagonals of parallelogram are equal]
30-21=3y-2y
y=9
3y=2x-5[Diagonals of parallelogram are equal]
3×9=2x-5
27=2x-5
2x=27+5
x=32/2=16

The given angles forms linear pair, and we know the angles forming linear pair are supplementary,
Therefore,
Angle MHJ + Angle MHL = 180°
Let's solve :
Value of variable m = 10°

Answer:
a. 8 outcomes
b. Discrete Variable
c. See explanation below
Step-by-step explanation:
a.
Let N = No Offers made
Let Y = Offers made
The Expected outcome are as follows:
NNN, NNY, NYN, YNN, NYY, YNY, YYN, YYY
= 8
b.
Let x = number of offers made
X is said to be discrete if x can take values that are restricted to a defined or limited values
X is said to be continuous if x can take a range of values that is not restricted to any range(i.e. continuous)
Looking at the brief description above, we can conclude that x is discrete
c.
NNN, 0
NNY, 1
NYN, 1
YNN, 1
NYY, 2
YNY, 2
YYN, 2
YYY, 3
Where 0 to 3 represents number of offers at every instance
Huh? this is very confusing 12