Answer:
Area of parallelogram is equal to 
Step-by-step explanation:
It is given length pf parallelogram which is equal to base of parallelogram is b=15 cm
Height of parallelogram h = 7.5 cm
We have to find the area of the parallelogram.
Area of parallelogram is equal to multiplication of base and height.
Therefore area of parallelogram is,
, here b is base and h is height.
So 
Therefore area of parallelogram is equal to
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➷ Multiply 4.6 by 4 to get the sum of the numbers after 5 was added:
4.6 x 4 = 18.4
^ This is the new total
Subtract 5 from this:
18.4 - 5 = 13.4
Divide this value by 3 to get the original mean:
13.4/3 = 67/15
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F - 12 = -35
f - 12 + 12 = -35 + 12
f = -23
Answer:
P ( -1 < Z < 1 ) = 68%
Step-by-step explanation:
Given:-
- The given parameters for standardized test scores that follows normal distribution have mean (u) and standard deviation (s.d) :
u = 67.2
s.d = 4.6
- The random variable (X) that denotes standardized test scores following normal distribution:
X~ N ( 67.2 , 4.6^2 )
Find:-
What percent of the data fell between 62.6 and 71.8?
Solution:-
- We will first compute the Z-value for the given points 62.6 and 71.8:
P ( 62.6 < X < 71.8 )
P ( (62.6 - 67.2) / 4.6 < Z < (71.8 - 67.2) / 4.6 )
P ( -1 < Z < 1 )
- Using the The Empirical Rule or 68-95-99.7%. We need to find the percent of data that lies within 1 standard about mean value:
P ( -1 < Z < 1 ) = 68%
P ( -2 < Z < 2 ) = 95%
P ( -3 < Z < 3 ) = 99.7%
