Let Z be a random variable following the standard normal distribution with mean µ = 0 and standard deviation σ = 1.
The 67th percentile of the distribution is the value z that separates the bottom 67% of the distribution from the top 100% - 67% = 33%. In terms of probability, we have
Pr[Z ≤ z] = 0.67
Use the inverse CDF for the normal distribution (or lookup z scores in a table) to find
z = ɸ⁻¹(0.67) ≈ 0.4399
where ɸ(z) is the CDF for the normal distribution.
Answer:
Explanation:
Maria will pay an extra amount of $924 to &951 to buy the television, rather than waiting until she saves up enough money to pay cash for it.
If Maria saves her money and pays cash, she can own a refrigerator in 4 months.
There are 52.3 weeks in a year, and depending on when she buys it, she can manage to make 52 or 53 payments that would make a total of $1404 a year or $1431 a year, if paying cash is $480, the difference would be either $924 or $951.
The refrigerator costs $800 and with the budget, she has a month, she can buy one after 4 months.
4 months at $200 a month= $800
The heat absorbed when 2.8 mol NH₄NO₃ is dissolved in water is 71.96 kJ.
<h3>What is heat?</h3>
Heat is the transportation of energy to or from a thermodynamic system.
By the formula of heat

Where n = moles
Delta Hrxn is molar heat
q = heat
Putting the values in the equation

Thus, the heat absorbed when 2.8 mol NH₄NO₃ is dissolved in water is 71.96 kJ.
Learn more about heat
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The graphical solution procedure generally means you graph the constraint inequalities to identify the feasible solution region, then locate the objective function curve so as to maximize its value. When the objective function is a linear function, maximizing it generally means locating it at the vertex of the feasible region that makes it farthest from the origin.
The solution is
... (A, B) = (100, 50)