Answer:
Option C
Step-by-step explanation:
Given
Mean= μ=60
and
Standard Deviation= σ=5
In order to calculate the percentage of students between 55 and 65, we have to calculate z-score for both
z-score for 55=(55-60)/5
=(-5)/5
=-1
The area to the left of z-score -1 is 0.1587
z-score for 65=(65-60)/5
=5/5
=1
The area to the left of z-score 1 is 0.8413
Area between z-scores of 55 and 65=0.8413-0.1587
=0.6826
Converting into percentage
=0.6826*100
=68.26%
Option C is the correct answer ..
Answer:
a = 5
Step-by-step explanation:
Since the triangle is right use the sine ratio to solve for a and
sin30° =
, thus
sin30° =
=
, hence
=
( cross- multiply )
2a = 10 ( divide both sides by 2 )
a = 5
Answer:
second option
Step-by-step explanation:
Given
f(x) = 
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be, that is
3x - 5 = 0 ⇒ 3x = 5 ⇒ x =
← excluded value
Thus domain is
(- ∞,
) u (
, ∞ )
first of all, lets set up the equation
3x + 2y = 31
9x + 8y = 103
+--------------------
now make them equal
12x + 8y = 124
9x + 8y = 103
+----------------------
x=7
y=5