Let's say the number of days library book is late is X, and the total fee is Y.
Liability charges $0.30 dollars as a fee for being 1 day late,
For being 1 day late, fee charge is: 1* $0.30
So, for X days the charge would be: X*$0.30.
Total charge for being X days late is Y, Which means: Y= 0.30 * X.
Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X
Option
one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution
because the value of number of days can not be negative and in option
one and two, value of days -3 and -2.5 is negative.
Option
three(4.5, 1.35) can not be correct because library charges fee for a
full day so the number for days would be a whole number. Library would
not charge for 4.5 days, they would either charge of 4 days or 5 days
because 4.5 is not an whole number.
Option four(8, 2.40) is the correct answer because it satisfies our equation;
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40.
Fourth option (8, 2.40) is the only viable solution to this question.
Answer:
1.5
Step-by-step explanation:
5/8 + 7/8= 1.5 or 1 1/2
Answer:
Step-by-step explanation:
Hello!
For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.
In this example the variable is:
X: height of a college student. (cm)
There is no information about the variable distribution. To estimate the population mean you need a variable with at least a normal distribution since the mean is a parameter of it.
The option you have is to apply the Central Limit Theorem.
The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.
As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.
The sample size in this exercise is n=50 so we can apply the theorem and approximate the distribution of the sample mean to normal:
X[bar]~~N(μ;σ2/n)
Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:
98% CI
1 - α: 0.98
⇒α: 0.02
α/2: 0.01

X[bar] ± 
174.5 ± 
[172.22; 176.78]
With a confidence level of 98%, you'd expect that the true average height of college students will be contained in the interval [172.22; 176.78].
I hope it helps!
Answer:
The monthly cash inflow is $273.6
Step-by-step explanation:
It is given that hourly wage is $18 and his net pay is 72% of his earnings.
First, calculate the 72% of $18.
72% of his earnings is
.
Tyrone works 40 hours per week
.
The number of working hours in a month is: 
For 1 hour is he was getting $12.96.
For 160 hours he will get:
His total monthly cash inflow is $2073.6 - $1,800=$273.6
Hence, the monthly cash inflow is $273.6