Sarah has 2 3/4 more meters of rope.
<span>The number 6 – 8i is located in the 4th quadrant </span><span>on the complex plane.</span>
For this case we have the following polynomial:
We must find the greatest common factor of the terms of the polynomial.
The GCF of the coefficients is given by:
Then we look for the GFC of the variables:
We have then:
Finally rewriting we have:
Answer:
the complete factored form of the polynomial is:
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!
