Find logarithm of both sides
log (3^x) = log 8
xlog3 = log8
x = log8/log3
x = 1.893
Answer:
The area of the triangle is: "
8.5 cm² " ;
or, write as: "
8
cm² " .
_______________________________________________________Explanation:_________________________________________________________The formula {"equation"} for the area of a triangle is:
A = (

) * b * h ;
in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________A = (b * h) / 2 ;
= (13 cm * 5 cm) / 2 ;
= [ (13 * 5) cm²] / 2 ;
= 65 cm² / 2 ;
A = "
8.5 cm² " ; or, write as: "
8
cm² " .
_________________________________________________________Answer:
"
8.5 cm² " ; or, write as: "
8
cm² " .
_________________________________________________________The area of the triangle is:
"
8.5 cm² " ;
or, write as: "
8
cm² " .
_________________________________________________________
Answer:
0.26 and 0.577
Step-by-step explanation:
Given :
x :___0 ___ 1 ____ 2 ____ 3
f(x):_0.80 _0.15__0.04 __0.01
The mean :
E(X) = Σ(x * p(x))
E(X) = (0*0.8) + (1*0.15) + (2*0.04) + (3*0.01)
E(X) = 0 + 0.15 + 0.08 + 0.03
E(X) = 0.26
Var(X) = Σx²*p(x)) - E(x)²
Σx²*p(x)) = (0^2*0.8) + (1^2*0.15) + (2^2*0.04) + (3^2*0.01) = 0.4
Σx²*p(x)) - E(x)² = 0.4 - 0.26² = 0.3324
Std(X) = √0.334 = 0.577
So with the 10% discount, thats 45$, adding tax, that's <span>$47.70.</span>
Answer:
-4,5
Step-by-step explanation: