The Z-score (z) is calculated according to the formula: z = (x - μ) / σ
Where: x is the raw score value, μ is the mean of the population, σ is the standard deviation of the population.
x = 80, μ = 5, σ = 4
z = (80 - 5) / 4
z = 75 / 4 = 18.7500
Z-score is 18.7500
Answer:
The cost of her dinner without tax or tip is <u>$22</u>.
Step-by-step explanation:
Given:
Anna enjoys having dinner at a restaurant in a town where the sales tax on meals is 10%.
She leaves 15% tip before the sales tax is applied, and the tax is calculated on the pre-tip amount.
She spends a total of $27.50 on her dinner.
Now, to find the cost of her dinner without tax or tip.
Let the cost of dinner without tax or tip be 
So, the tax is:




And, the tip is:




<u><em>As given, she spends a total $27.50 on her dinner.</em></u>
Now, to get the cost of her dinner without tax or tip:



<em>Dividing both sides by 1.25 we get:</em>


Therefore, the cost of her dinner without tax or tip is <u>$22</u>.
Answer:
357
Step-by-step explanation:
A) We replace x = - 5 and u = 3 into -3x^3 -2y^2
and we have -3x^3 -2y^2= -3*(-5)^3 -2*3^2= -3*(-125)- 2*9
or -3x^3 -2y^2 = 375-18= 357
The answer is 357.
B) Replace h = -2 into h^2-3h+2
we have h^2-3h+2 = (-2)^2 -3*(-2) +2 = 4 +6 + 2= 12
The answer is 12
Have a good day.