-1 + 14x = 12x + 17 Whats the answer ? what is x
1 answer:
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Answer:
The probability that the man is greater than 74 inches is 0.1587
Step-by-step explanation:
The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values
The standard normal variate factor (Z) is given by
where
is mean of the data
is the standard deviation of the data
Thus corresponding to x = 74 the Z factor equals
Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals
0.1587
Given that:
Parent equation :
Transformed function :
Solution:
Let Parent equation be . Then,
...(1)
The translation is defined as
.... (2)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
, So graph of parent function compressed vertically by factor
.
, so the graph of parent function shifts 32 units right.
, so there is no vertical shift.
Therefore, the graph of parent function compressed vertically by factor and shifts 32 units right to get the graph of c(x).