Answer:
a. z-score = -1.2
b. The age 23 years old is -1.2 standard deviations below the mean
c. The age is not unusual
Step-by-step explanation:
a. Transformation to z-score
Mathematically;
z-score = (x - μ)/σ
where σ and μ are the standard deviation and the mean respectively.
From the question, x = 23, μ = 27.2 and σ = 3.5
Let’s put these into the equation;
z-score = (23-27.2)/3.5 = -1.2
b. Interpretation of result
The interpretation is that 23 years old is -1.2 standard deviations below the mean
c. Determination
The age is not unusual. This is because any z-value below -2 or above 2 is considered unusual
-1.2 is above -2 and thus it is not unusual
Answer:
y= CC-4.5x^2
Step-by-step explanation:
To find the general solution to the differential equation
dy + 9x dx = 0, we employ the method of separating variable as follows:
Note: { will represent the integral sign here.
Separating the variables and integrating, we have
{dy = -{9x dx
y = -(9/2)(x^2) + CC,
where CC is the given constant of integration.
This can be rearranged/simplified to yield
y= CC-4.5x^2
0.90 = 175% of the original price
X * 1.75 = 0.90
(0.90 / 175) * 100 = $0.51
Hope this helps! :)
Answer: more units, because you’re converting it to smaller parts which means there are more parts
King (kilo)
Henry (hecto)
Died (deca)
Unusually (unit)
Drinking (deci)
Chocolate(centi)
Milk (milli)