Answer:
z-score = 4.43,
It is a Good day
Step-by-step explanation:
The provided information is:
Mean = $28,286.28
Standard deviation = $1,500
Let x be the sell of department store on Tuesday.
Then, x = $34,924.62
The z-score is define as:
Thus, the Tuesday's z-score is 4.43. So this is usually good day.
Answer:
12
Step-by-step explanation:
The given geometric series is

We want to determine the first term of this geometric series.
Recall that the explicit formula is

To find the first term, we put n=1 to get:

This gives us:


Therefore the first term is 12
ANSWER

EXPLANATION
The surface area of a triangular prism is
equal to the area of two triangular faces
plus the area of the three rectangular faces.
The area of the equilateral triangle is calculated using the formula:

where s=6 is the length of one side.
and b=6 is the breadth of the rectangle and h=10 is the height of the rectangle.
Surface area


=211.2square inches.
Answer:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.
Step-by-step explanation:
In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.
Let u = 1 + sin(x).
This means du/dx = cos(x). This implies dx = du/cos(x).
Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.
∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))
= ∫(u^(-1/2) * du). Integrating:
(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.
Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!
Answer:
Use an online converter but there is something you should know
Step-by-step explanation:
There are two systems of measurement. The Imperial system (inch, mile, cups, ounces) and the Metric system (millimeter, centimeter, gram, kilogram).
Converting measurements in the imperial system by memory is very hard, but converting measurements in the metric system is more simple.
It is easier to learn by images so here is an image that explains it
Keep in mind that measurements like inches and centimeters are for distance, while gram and ounces are for weight.