Answer:
The answer is 0.9789 approximately equal to 0.9790
Step-by-step explanation:
See the attached files for the details, hope it is clearly understood.
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we have that
the total cost is

In this equation the term 30h represent the cost due to h hours at at unit of 30
and the term 0.040(30h) is equal to calculate the 4% of (30h)
so
in this problem the tax rate is equal to 4%
therefore
<u>the answer is</u>
The term 0.040(30h) represents the amount of tax she must pay
Answer:
42.3
Step-by-step explanation:
- Substitute in values

Hi there!
We can use the following equation:

z = amount of standard deviations away a value is from the mean (z-score)
σ = standard deviation
x = value
μ = mean
Plug in the knowns for both and rearrange to solve for the mean:

Other given:

Set both equal to each other and solve:

Answer:
S = 38.4 centimeters.
Step-by-step explanation:
<u>Given the following data;</u>
- Radius, r = 12 cm
- Angle = 3.2 rads
To find the length of the arc of a circle;
A full circle measures an angle of 360 degrees.
π = 180°
So; Angle, A = 360° = 2π
Therefore, a full circle is equal to 2π in terms of radians (rads).
Also, the circumference (the length of an arc) of a circle is equal to 2πr or Ar.
Mathematically, the length of the arc of a circle is given by the formula;
S = rA
Where;
- S is the length of the arc.
- A is the angle measured in radians.
Substituting into the formula, we have;
S = 12 * 3.2
<em>S = 38.4 centimeters.</em>