Answer:
The equation that represents the number of tickets that Josiah can buy with $45.50
3 + 8.50x = 45.50
The number of number of tickets that Josiah can buy with $45.50 is 5 ticketa
Step-by-step explanation:
Let the number of tickets be represented by x
Tickets are $8.50 plus he must play Fangalingo a $3 transaction fee for purchasing the tickets online.
The equation that represents the number of tickets that Josiah can buy with $45.50
$3 + $8.50 × x = $45.50
3 + 8.50x = 45.50
Solving further for x
3 + 8.50x = 45.50
8.50x = 45.50 - 3
8.50x = 42.50
x = 42.50/8.50
x = 5
Hence, the number of number of tickets that Josiah can buy with $45.50 is 5 ticketa
A function is a law that tells you how to associate inputs (x values) and outputs (y values).
In the case of constant functions, it doesn't matter which input you choose, the ouput must always be the same.
So, a constant function has always the same output (y values) for every input (x values) you feed.
Answer:
The bulbs should be replaced each 1436.9 hours.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?
This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.
So it is X when Z = -2.33.




The bulbs should be replaced each 1436.9 hours.
Answer:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
Step-by-step explanation:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
We have to find the roots of this given equation.
If a quadratic equation is of the form 
Its roots are
and 
Here the given equation is
= 0
a = 2
b = -4
c = -1
If the roots are
, then
= 
= 
= 
= 
= 
= 
These are the two roots of the equation.