Answer:
<u>The original number is 96.875</u>
Step-by-step explanation:
Let's find the original number using the Direct Rule of Three, this way:
Percentage Number
100 x
96 93
***********************************************
96x = 93 * 100
96x = 9,300
x = 9,300/96
x = 96.875
<u>The original number is 96.875</u>
Answer: x = 37.8
Step-by-step explanation: We start with triangle ABC with two sides given as 15 and 18. We shall make angle C the reference angle and thereby calculate the third side, line BC.
Since we have the opposite side as 15, and the adjacent side (which lies between the reference angle and the right angle) as 18, we can use the tangent of the angle C
Tan C = Opp/Adj
Tan C = 15/18
Tan C = 0.8333
From our table of values/use of the calculator
Tan C = 39.8
Angle C in triangle ACB = Angle C in triangle ECD (Opposite angles are equal).
That takes us to triangle ECD, since the reference angle is known (39.8) and the opposite side is also given (31.5), we can now calculate the adjacent which is side x.
Tan C = Opp/Adj
Tan 39.8 = 31.5/x
when you cross multiply, x moves to the left hand side, while Tan 39.8 moves to the right hand side
x = 31.5/Tan 39.8
x = 31.5/0.8333
<u>x = 37.8</u>
For quite some time now, calculators have had statistical functions built in. Here we need to use the stat. function normalcdf, which has only two inputs when we're working with z scores instead of raw scores.
Here,
normalcdf(-100,1.25) = 0.894
This same result could be obtained using a table of z-scores.
3
To calculate a fraction of a quantity, multiply the quantity by the numerator of the fraction and divide by the denominator
of 20 = (3 × 20 )/4 = 
= 15
of 20 = (3 × 20 )/5 = 
= 12
Answer:
The simplification is done below.
Step-by-step explanation:
= 
=
= 
