Answer:
22.5 miles
Step-by-step explanation:
No traffic :
Let speed = x
Time taken = 30 = 30/60 = 0.5 hour
Speed = distance / time
Distance = d
x = d / 0.5 - - - (1)
With traffic :
Speed = x - 30
Time taken = 1 hour 30 minutes = 1.5 hour
x - 30 = d / 1.5
x = d/1.5 + 30 - - - - (2)
Equating (1) and (2)
d / 0.5 = d/1.5 + 30
d /0.5 - d /1.5 = 30
(1.5d - 0.5d) / 0.75 = 30
1.5d - 0.5d = 22.5
1d = 22.5
Hence,
d = 22.5 miles
<span>The Federal Insurance Contributions Act (FICA) requires employers to withhold a certain percentage of an employee's income as tax. The categories are:
6.2% as social security tax
1.45% as Medicare tax
0.9% as Medicare surtax for employees earning more than $200,000
In this case, the percentage of tax applied will be 6.2 + 1.45 = 7.65%
The FICA tax will be 110,330 * 0.0765
FICA tax = $8,440.24</span>
Total points is 23
<u>Explanation:</u>
Given:
Total number of baskets = 18
Let the number of 2 pointer shots be x
Let the number of 3 pointer shots be y
According to the question:
-1
The equation can be formed as:
On solving this equation further we get:
Putting the value of x = 4 in equation 1
Points for 2 pointer shots = 4 X 2
= 8
Points for 3 pointer shots = 5 X 3
= 15
Total points = 8 + 15
= 23
Therefore, total points is 23
In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution
We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ + v₂c₂
40(0.32) = 10(0.2) + 30c
Answer:
The standard deviation is 10.38
Step-by-step explanation:
Given;
Variance, v = 107.76
mean, x = 34.2
The standard deviation is given by;
standard deviation = √variance
standard deviation = √107.76
standard deviation = 10.381
standard deviation = 10.38 (two decimal places)
Therefore, the standard deviation is 10.38
