The first thing that comes to mind that an absolute value cannot have a nagative output, in other words, if you have an function that is equal to a negative number, then there is no solution.
Answer:


Step-by-step explanation:
Given
Let
f = Father's age
s = Son's age
We'll solve this question, while reading through the instructions
From the first statement;
f is 2 less than 7 times s.
This means

In two years time, the father will be f +2 and the son will be s + 2
So, their sum is:


Collect like terns


So, the equations are:


Answer:
0.682 is the probability that one newborn baby will have a weight within one standard deviation of the mean.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 8 pounds
Standard Deviation, σ = 0.6 pounds
We are given that the distribution of weights of full-term newborn babies is a bell shaped distribution that is a normal distribution.
Formula:

P(weight between 7.4 and 8.6 pounds)

This could also be found with the empirical formula.
0.682 is the probability that one newborn baby will have a weight within 0.6 pounds of the mean.
Answer:

Step-by-step explanation:
Given that a sphere has one diameter having endpoints (2,1,4) and (4,3,10)
We can find the mid point of these two points and that would be the centre
If we find distance between these two points that would be twice radius.
Distance = 2r = 
So radius = 
Centre of sphere = mid point of two points
= (3, 2, 7)
Using centre radius formula sphere has equation as

Given:
The objective is to find the slope of the straight line.
Explanation:
The general equation to find the slope is,

Let's consider two coordinates from the graph.

On plugging the values in the equation of slope,

Hence, the slope of the straight line is -5.