Answer:
The length of the line segment is of 5.9 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, 
and 
. The distance between these two points is given by:
How long is the line segment?
The distance between points P and Q. So
P(1,3), and Q(4,8).
The length of the line segment is of 5.9 units.
Answer:5
Step-by-step explanation:33 + 5 =38 * 6= 228
Answer:
n > -14
Step-by-step explanation:
Firstly, you use the distributive property;
-12 - 6n > 72
Then, since 12 is negative, you add 12 to both sides;
-12 - 6n > 72
+12 +12
-6n > 84
Then you divide both sides by -6 to get n > -14.
Shoot, hold on; this is an edit; did you mean that 72 is greater than -6(2 + n) or did you accidentally flip the sign in the picture? Hopefully I did what you needed.
Answer:
Step-by-step explanation:
Hello!
The variable of study is X: Temperature measured by a thermometer (ºC)
This variable has a distribution approximately normal with mean μ= 0ºC and standard deviation σ= 1.00ºC
To determine the value of X that separates the bottom 4% of the distribution from the top 96% you have to work using the standard normal distribution:
P(X≤x)= 0.04 ⇒ P(Z≤z)=0.04
First you have to use the Z tables to determine the value of Z that accumulates 0.04 of probability. It is the "bottom" 0.04, this means that the value will be in the left tail of the distribution and will be a negative value.
z= -1.75
Now using the formula of the distribution and the parameters of X you have to transform the Z-value into a value of X
z= (X-μ)/σ
z*σ = X-μ
(z*σ)+μ = X
X= (-1.75-0)/1= -1.75ºC
The value that separates the bottom 4% is -1.75ºC
I hope this helps!
Actually Welcome to the Concept of the Functions.
Let's first find the g(-1),
so we get as
3(-1)^2 +5(-1)-6
=> 3 -5-6
=> -8
now since g(-1) =-8
let's find f(g(-1)) that is f(-8)
f(-8) = 4(-8) + 14
=> f(g(-1)) = -32+14
=> f(g(-1)) = -18
-18 is the answer.
