Answer:
0.8914
Step-by-step explanation:
You want to find the z-values associated with the x-values:
z = (x -μ)/σ
z1 = (57 -90)/12 = -2.75
z2 = (105 -90)/12 = 1.25
Look up these values in a probability table and find the difference of the table values.
p(z < z1) ≈ 0.00298 . . . . from a table or calculator
p(z < z2) ≈ 0.89435 . . . . from a table or calculator
p(57 < x < 105) ≈ 0.89435 -0.00298 = 0.89137 ≈ 0.8914
Sophie would’ve earned more
She would’ve earned $37 more
Calculations:
Sophie:
$330(1+4%*2)
=$356
Simple interest: $356-$330
=$26
Avi:
$290(1+5%*2)
=$319
Simply interest: $319-$290
=$29
$29-$26
=$3
To attempt to end slavery is what I would think, maybe to show that they are humans themselves and treating them this way is very unfair.
If expression is like this :


_______________________
If expression is like this :



Option A:

Solution:
<u>To evaluate tan(105)°:</u>
105° can be written as sum of 60° and 45°.
tan(105)° = tan(45 + 60)°
Using the summation identity:


We know that, tan(45)° = 1 and tan(60)° = √3
Substitute this in the above equation.


To rationalize the denominator multiply by the conjugate
.

Using exponent formula:
and 

Using exponent formula: 





Hence option A is the correct answer.