Answer:
12.1%
Step-by-step explanation:
Given that:
Mean (μ) = 20.2 grams and standard deviation (σ) = 0.18 grams.
The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean. A positive z score means that the raw score is above the mean and a negative z score means that the raw score is below the mean. It is given by:
a) For x < 19.99 g:
From the normal distribution table, P(x < 19.99) = P(z < -1.17) = 0.1210 = 12.1%
The probability that a randomly chosen mouse has a mass of less than 19.99 grams is 12.1%
A = lw
A = (6)(1/12)
A = 1/2
Answer:
They subtracted 2x from both sides.
Step-by-step explanation:
They removed 2x from each side because in order to find x it will have to be removed on one side. Since 2x - 2x = 0 it is 2x is out of the equation for the right side and on the left side -2x -(-4x) = -6x which means that there is one x variable left in the equation thus making it solvable.
Answer:
Step-by-step explanation:
We have the equation 
with the initial condition 
. It is not difficult to notice that this is a linear equation, which has the general expression
.
The solution of this equation is expressed by a general formula:
.
In the particular case of our equation, we have
.
Then, we must calculate the integrals
that implies
,
and
Then,
.
In order to obtain the value of the constant we substitute the initial condition
that implies 
Therefore,
.
