1) y= - 2x² + 8x. It's a parabola open downward (a<0)
2) x - 2.23.y + 10.34 = 0 . Re-write it : y = (x/2.23) + (10.34/2.23), a linear equation.
To find the intersections between 1) & 2), let 1) = 2)
-2x² + 8x = (x/2.23) + (10.34/2.23)
-2x² + 8x - (x/2.23) - (10.34/2.23) =0 ; solve this quadratic for x values:
x' (that is A) = 0.772 & x" (that is B) = 3. (these are the values of x-intercept (parabola with line). To calculate the y-values, plug x' & x' in the equation:
for x' = 0.772, y = 0.34 → B(0.772 , 0.34)
for x" = 3, y = 0.016 → A(3 , 0.O16)
So B IS AT 0.34 Unit from the ground
Answer:
the standard error of the proportion is 0.0272
Step-by-step explanation:
We have that if the sample size is greater than 5% of the entire population, a finite population correction factor (fpc) is multiplied with the standard error
:
fpc = 
We know that N = 250 n = 91, replacing:
fpc = 
fpc = 0.799
Now, the formula would then be:
SE = 
*fpc
Now replacing, knowing that p = 0.12
SE= 
*0.799
SE = 0.0272
So the standard error of the proportion is 0.0272
Answer:
75%
Step-by-step explanation:
What percent of 24 is 18?
24x = 18
x = 18/24 = 3/4 = 0.75 = 75% passed
Answer:
1.01 × 10⁴ - scientific notation
10,100 - decimal notation
Answer:
Step-by-step explanation:
Goven the length of the field = 110m
Width = 80m
The length of the diagonal is expressed using the pythagoras theorem;
d² = l² + w²
d² = 110² + 80²
d² = 12100 + 6400
d² = 18500
d = √18500
d = 136.01
Hence the players have to run 136.01m diagonally
