A data set has a mean of 42 and a standard deviation of 7.8 if an element in the set is 54 find its z-score
1 answer:
Answer:
<h3><u>The z-score is 1.54</u></h3>Step-by-step explanation:
<h2>Given:</h2>x = 54
μ = 42
σ = 7.8
<h2>Required:</h2>Z-score
<h2>Equation:</h2>where: Z - standard score
x - value
μ - mean
σ - standard deviation
<h2>Solution:</h2>Substitute the value of x, μ and σ
You might be interested in
Answer:
11.1 years
Step-by-step explanation:
The formula for interest compounding continuously is:
Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years. Filling in what we have looks like this:
We will simplify this first a bit by dividing 2000 by 1150 to get
To get that t out the exponential position it is currently in we have to take the natural log of both sides. Since a natural log has a base of e, taking the natual log of e cancels both of them out. They "undo" each other, for lack of a better way to explain it. That leaves us with
ln(1.739130435)=.05t
Taking the natural log of that decimal on our calculator gives us
.5533852383=.05t
Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.