First, i put the equation in y=mx+b by dividing 2, since its 2y. since it’s perpendicular we’re talking about you switch the sides (opposite reciprocals). the rest should be self explanatory.
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 =

Answer: 624 is the answer i just took the test
Step-by-step explanation:
The method of factorization is used to find the roots of a given polynomial. Roots are the solutions of the function. Graphically, these roots are where the curve passes the x-axis. The first step to do is to find the common factor of the equation. That would be x. So you place it outside of the parenthesis.
x³-4x²+45x = x(x² - 4x + 45)
If you solve the quadratic equation inside the parenthesis using the quadratic formula, the roots are imaginary. Therefore, the quadratic equation is already a prime polynomial.
The final answer is x(x² - 4x + 45).
16)
2t > 324
t > 162
17)
12y >_ 1
y >_ 1/12
18)
w/9.5 < 11
x < 104.5