Answer: 5.37 as a mixed number is 5 37/100
To write a decimal number as a mixed number, you must separate the whole part of the decimal part:
5.37 = 5 + 0.37 = 5 0.37
And express the decimal part as a fraction:
0.37=37/100
Then:
Answer: 5.37 as a mixed number is 5 37/100
The function h(x) is vertically stretched by a factor of
and is shifted 3 units to the left and shifted 2 units up.
Explanation:
The parent function is 
The translated function is 
By using the function transformation rules, the translated function h(x) is stretched vertically by a factor of 
Also, from the function transformation rules, we know that,
shifts the function b units to the left.
Thus, the translated function h(x) is shifted 3 units to the left.
By using the function transformation rules, we know that,
shifts the function b units upward.
Thus, the translated function h(x) is shifted 2 units upwards.
Thus, the translated function h(x) is vertically stretched by a factor of
and is shifted 3 units to the left and shifted 2 units up.
You have to use your standard normal table (or calculator) for these. The area under the curve should be 1, a z-value corresponds to the probability and is area to the left of that z.
a. A simple reverse lookup of 0.9750. z=1.96
b. Total area up to z would be 0.5+0.4750, so reverse look up 0.9750 and find z=1.96
c. A simple reverse lookup. z=0.61
d. Area to the left of z would b 1-0.1314, so lookup 0.8686 and find z=1.12
e. A simple reverse lookup. z=0.44
f. Just invert the area: 1-0.33 = 0.67 and reverse lookup: z=0.44
C. 200
They earn $2.50 per box of markers, meaning that to make $500 they have to sell 200. [500/2.5=200]