Answer:
(a) 25
(b) 9.27
Step-by-step explanation:
Step 1
We have to rearrange the given days set from least to highest
35, 40, 45, 55, 60
(a) the range
Range = The highest number - The least number
= 60 - 35
= 25
(b) the standard deviation of the data set
35, 40, 45, 55, 60.
We find the Mean
Mean = Sum of values/Number of values
= 35+40+45+55+60/5
= 235/5
= 47
We can find the standard deviation now.
The formula =
√(x - Mean)²/n
= √(35 - 47)²+ (40 + 47)² + (45 - 47)² + (55 - 47)² + (60 - 47)²/5
= √144 + 49 + 4 + 64 +169/5
= √430/5
= √86
= 9.273618495
Approximately = 9.27
a)
The average speed is equal to the ratio between the total distance ( and the total time taken ():
the distance travelled by the trucker in the first 3 hour can be written as the time multiplied by the velocity:
So the total distance is
The total time is equal to the first 3 hours + the time taken to cover the following 20 miles in the city:
So, the equation can be rewritten as:
b) 0.50 h (half a hour)
Since we know the value of the average speed, , we can substitute it into the previous equation to find the value of , the time the trucker drove in the city:
Answer: x=7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(6x+5)=94
(2)(6x)+(2)(5)=94(Distribute)
12x+10=94
Step 2: Subtract 10 from both sides.
12x+10−10=94−10
12x=84
Step 3: Divide both sides by 12.
12x
12
=
84
12
x=7
Answer:
$86.35
Step-by-step explanation:
Total amount he spent at Kroger
= $83.47 on groceries. +coupon for $1.99 off bottled water + $0.89 off organic strawberries
= 83.47+0.89+1.99
= $86.35