Answer:
0.78015
Step-by-step explanation:
Given that :
Mean, μ = 1220
Standard deviation, σ = 110
Probability that sales is less Than 1305 on a given day
P(x < 1305) :
Obtain the standardized score Z
Z = (x - μ) / σ
Z = (1305 - 1220) / 110
Z = 85 / 110
Z = 0.7727272 = 0.7727
P(Z < 0.7727) = 0.78015 (Z probability calculator)
Answer:
so lets remember the formula for interest first.
#lightbulb
here it is A = P(1 + rt)
all we really have to do is plug in our rates, principles, and time into equation.
P = $800
t = 2 years
r = 6.5% or as a decimal 0.065
now lets look at our new equation that finally has numbers in it
A = 800[1 +(0.065)(2)] first lets take care of the 0.065 and 2 by multiplying them together. thus our new equation.
A = 800(1+ 0.13) then we add the 1 to the 0.13 and get 1.13
800(1.13) from here we just multiply and that equals 904
since we are looking for what is earned we take 904 and subtract 800 to get that answer. Here is the math.
904 - 800 = 104
he made 104 dollars in 2 years
hope this is right
Step-by-step explanation:
The given equation in the point slope form is expressed as
y + 3 = 1/2(x + 4)
The standard form for a point slope equation is expressed as
y - y1 = m(x - x1)
Where
m represents slope
By comparing both equations,
slope, m = 1/2
y1 = - 3(we know that y - - 3 = y + 3)
x1 = - 4(We know that x - - 4 = x + 4)
The slope intercept form is expressed as
y = mx + c
Where
c represents the y intercept
We would determine c by substituting x = - 4, y = - 3 and m = 1/2 into the slope intercept equation. It becomes
- 3 = 1/2 * - 4 + c
- 3 = - 2 + c
c = - 3 + 2
c = - 1
Substituting c = - 1 and m = 1/2 into the slope intercept equation, it becomes
y = x/2 - 1
The equation in slope intercept form is
y = x/2 - 1
