So you have to graph that on to the chart i think
Answer:
a=19
Step-by-step explanation:
First we have to distribute the parenthesis; multiply (a+5) by 1/3
8=1/3*a+1/3*5
Now we just solve the equation regularly
8=1/3a+5/3
8-5/3=1/3a
6 1/3=1/3a
a=19
Answer:
P(Y ≥ 15) = 0.763
Step-by-step explanation:
Given that:
Mean =135
standard deviation = 12
sample size n = 50
sample mean
= 140
Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses
Then,

The probability that X is greater than 140 is :
P(X>140) = 1 - P(X ≤ 140)



From z tables,


Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140
Then;


∴
P(Y ≥ 15) = 1- P(Y< 15)
P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

P(Y ≥ 15) = 0.763
For this case we have that by definition, the domain of a function, is given for all the values for which the function is defined.
We have:

The given function is not defined when the denominator is equal to zero. That is to say:

To find the roots we factor, we look for two numbers that when multiplied give as a result "8" and when added as a result "-6". These numbers are:

Thus, the factored polynomial is:

That is to say:

Makes the denominator of the function 0.
Then the domain is given by:
All real numbers, except 2 and 4.
Answer:
x |x≠2,4