Answer:
The probability of a student to be in the orchestra or the band is 0.07 or 7%.
Step-by-step explanation:
The probability of a student to be in the orchestra or the band is given by the following formula:
p(orchestra or band) = p(orchestra) + p(band) - p(orchestra and band)
p(orchestra or band) = 0.03 + 0.05 - 0.01
p(orchestra or band) = 0.08 - 0.01
p(orchestra or band) = 0.07
The probability of a student to be in the orchestra or the band is 0.07 or 7%.
Answer:
13.86 ft/sec
Step-by-step explanation:
If we let x = distance batter has run at time t and D = distance from second base to the batter at time t, then we know 
and we want 
when he is halfway (at x = 45).
Using Pythagoras theorem
When x=45
Thus, when the batter is halfway to first base, the distance between second base and the batter is decreasing at the rate of about 13.86 ft/sec.
Answer:
True, True, False
Step-by-step explanation:
1 is true because y values are increasing as x increases for both
2 is true because b's rate of change is 2 and a's rate of change is 0.25, so 2/0.25=8.
3 is false because a's y intercept is at 1
Answer:
12.37 square inches
Step-by-step explanation:
The area of the dartboard can be figured from the diameter as ...
A = (π/4)d² = (π/4)(17.75 in)² ≈ 247.4495 in²
There are 20 sectors, all the same size, so the area of one of them is ...
sector area = (1/2)(247.4495 in²) ≈ 12.37 in²
