Answer:
0.7493 or 74.93%
Step-by-step explanation:
We are given;
Population mean; μ = 100
Population standard deviation; σ = 12
Sample mean 1; x1¯ = 90
Sample mean 2; x2¯ = 120
Z-score formula of the data given is;
z = (x¯ - μ)/σ
z1 = (90 - 100)/12
z1 = -0.83
z2 = (120 - 100)/12
z2 = 1.67
Since we wan to Find the probability that a randomly selected bill is between $90 to $120.
Thus;
P(90 < x¯ < 120) = P(−0.83 < Z < 1.67)
Probability will be gotten from online probability with 2 z-scores calculator to get;
P = 0.7493
Answer:
64/49
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
a^0 = 1
_____
Using these rules, we can simplify the given expression to ...
Answer:
BC = 2
Step-by-step explanation:
We first need to use triangle BAD to find BD,
BD is the hypotenuse, so use pythagorean theorem...
(√23)² + (√13)² = (BD)²
23 + 13 = (BD)²
36 = (BD)²
6 = BD
Now BD is the hypotenuse of triangle BCD, so use pythagorean theorem agian to find BC
(4√2)² + (BC)² = 6²
32 + (BC)² = 36
(BC)² = 4
BC = 2
Answer:
y = 14
Step-by-step explanation:
First find the slope of the line. To find the slope of the line, use the slope formula:
The slope of the line is 2.
Repeat this same process instead with points (1,4) and (6,y). Substitute m = 2.
So y = 14.
Step-by-step explanation:
450 - 396 = 54
(54/450) * 100% = 12%
Hence the decrease is 12%.
