Answer:
The prevalence of serious defects in this population at the time of birth is 10%.
Step-by-step explanation:
The prevalence of serious defects is the number of infants that were born with seriours birth defects divided by the total number of infants born.
In this problem, we have that:
There were 1000 newborn infants.
100 infants were born with serious birth defects.
Calculate the prevalence of serious defects in this population at the time of birth.
This is:
The prevalence of serious defects in this population at the time of birth is 10%.
The solution of the given exponential equation is 0.688.
Given that Mike is working on solving the exponential equation 37ˣ = 12.
An exponential equation is an exponential equation where the power (or) part of the exponent is a variable.
firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:
aˣ = y
logₐy = x
Now, we will apply this transformation to our equation and we get
log₃₇12=x
Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:
x=log12/log37
So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:
x≈1.079/1.568
x=0.688
Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.
Learn more about exponential equation from here brainly.com/question/24162621
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Answer:
{x,y} = {115/17,-23/17}
Step-by-step explanation:
I believe its true.
<h2>
Answer:</h2>
# short sleeved shirts sold is 50
# long sleeved shirts sold 35
<h2>
Step-by-step explanation:</h2>
First, you need to set up the equation.
(5x)+10*(85-x)=600
5x+850-10x=600
-5x+850=600
-5x=600-850
-5x=-250
x=50
After you solve the equation, you know, that 50 short sleeve t-shirts were sold. Now, you need to find out how many long sleeved t-shirts were sold. 85-50=35. Now you know, that there were 35 long sleeved t-shirt sold.
You can now check your answers. 50*5 + 35*10=600
That is correct.
I hoped I helped you. I will be really glad, if you mark my answer with brainliest.
