Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function
It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)
Answer:
91.63 cm is the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 15 cm on each end of the bassinet.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 50 cm
Standard Deviation, σ = 5 cm
We are given that the distribution of length of a newborn baby is a bell shaped distribution that is a normal distribution.
Formula:
P(X<x) = 0.99
We have to find the value of x such that the probability is 0.99
P(X < x)
Calculation the value from standard normal table, we have,
Thus, 99% of newborn babies will have a length of 61.63 cm or less.
There is a safety margin of 15 cm on each end of the bassinet
Length of bassinet =
In the problem 62 times 45 the partial numbers are 6 and 5
46 because 8-3 equals 5 then 5 times 5 equals 25 to then add 11 to finally subtract 66-20 which equals 46
