No<u> it will be 6.27 </u>as the hundredth column is the second after the decimal place. To work out what to round it to look at the number after the hundredth column and if it is between 1 and 4, round down by just taking the number off like this, or if it is 5 to 9 round up the hundredth column by adding one to the number e.g. 5.578 would round up to 5.58.
Answer:
Step-by-step explanation:
Given equation is,
y = 3x² - 6x + 11
a). y = 3x² - 6x + 11
= 3(x² - 2x) + 11
= 3(x² -2x + 1 - 1) + 11
= 3(x² - 2x + 1) - 3 + 11
= 3(x - 1)² + 8
Comparing this equation with y = a(x - b)² + c
a = 3, b = 1 and c = 8
b). For minimum value of x,
Since, vertex of the graph is given by (b, c),
Minimum value of x will be,
x = b
x = 1
c). Vertex of the parabola → (b, c)
→ (1, 8)
For y-intercept,
By substituting x = 0 in the equation,
y = 3(0 - 1)² + 8
y = 11
Now we can sketch the graph by using the table of input - output values.
x -2 -1 0 1 2 3
y 35 20 11 8 11 20
The answer is 51.68
Hope this helps
Answer:
112.5cm
Step-by-step explanation:
Given data
Height of bounce= 72cm
Percentage of bounce= 64%
Let the distance be x
Hence
64% of x= 72
64/100*x= 72
0.64x= 72
x= 72/0.64
x= 112.5cm
Hence the distance is 112.5cm
Answer:
0.1169
Step-by-step explanation:
We solve the question using the z score formula
z = (x-μ)/σ/√n where
x is the raw score = 4800 miles
μ is the population mean = 4550 miles
σ is the population standard deviation = 1470 miles
n is the random number of samples = 49 drivers
Greater than sign = >
For x > 4800 miles
z = 4800 - 4550/1470/√49
= 4800 - 4550/1470/7
= 4800 - 4550/210
= 1.19048
Probability value from Z-Table:
P(x<4800) = 0.88307
P(x>4800) = 1 - P(x<4800)
P(x>4800) = 1 - 0.88307
P(x>4800) = 0.11693
Approximately to 4 decimal places = 0.1169
Therefore, the probability that these drivers have a sample mean greater than 4800 miles is 0.1169