Answer:
Step-by-step explanation:
The prices he was quoted are listed below: $663, $273, $410, $622, $174, $374
We would first determine the mean.
Mean = sum of terms in the data/ number of terms in the data.
Sum of terms =
663 + 273 + 410 + 622 + 174 + 374
= 2516
Number of terms = 6
Mean = 2516/6 = 419.33
Standard deviation = √summation(x - m)^2/n
summation(x - m)^2/n = (663 - 429.33)^2 + (273 - 419.33)^2 + (410 - 419.33)^2 + (622 - 419.33)^2 + (174 - 419.33)^2 + (374 - 419.33)^2
= 179417.9334/6 = 29902.9889
Standard deviation = √29902.9889
= 172.9
Answer:
Step-by-step explanation:
All the variables on the right are being multiplied together then the whole mess is being divided by 2. Let's get rid of the 2 first. The undoing of division is multiplication, so we will begin by multiplying both sides by 2 to get
Next we will move the m. The undoing of multiplication is division. So we divide both sides by m to get
The undoing of a square is to take the square root, so we will do that to both sides giving us, finally
So the simplest way to think of this is that if 1 mile takes 6.2 minutes, 26.2 miles can be multiplied by 6.2 to find the total time. <span />
Answer:
x=10.25
Step-by-step explanation:
If the two angles are congruent, then the measures are equivalent. Therefore, we can set the measures equal to each other and solve for x.
5x+24=9x-17
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
First, subtrct 5x from both sides.
5x-5x+24=9x-5x-17
24=9x-5x-17
24=4x-17
Next, add 17 to both sides.
24+17=4x-17+17
24+17=4x
41=4x
Lastly, divide both sides by 4, since 4 and x are being multiplied (4*x=4x).
41/4=4x/4
41/4=x
10.25=x
If the angles are congruent, then the value of x is 10.25.
Answer:
A. 3.2% faster
B. 3.3% slower
C. 103.3%
Step-by-step explanation:
In order to find this out, we need to take the differences and divide them by the comparative time. So, in the first one, we take the difference (.32) and divide it by Hines time.
.32/9.63 = 3.2%
In the second, we take the difference and divide by Bolt's time.
.32/9.95 = 3.3%
And finally, in the last one, we take Hines' time and divide by Bolt's.
9.95/9.63 = 103.3%
