Answer:
Number of times she will hit the ball the next time she plays softball if she is at bat 20 times = 9 times
Step-by-step explanation:
Percentage of times Sierra hit the ball when she was at bat playing softball= 45%
So, we can find:
Number of times she will hit the ball the next time she plays softball if she is at bat 20 times = 
Answer:
x = -4 and -2x - 8
Step-by-step explanation:
<u>Step 1: Distribute</u>
-1/3(6x + 15) - 3
-6/3x - 15/3 - 3
-2x - 5 - 3
-2x - 8
<u>Step 2: IF NEEDED SOLVE FOR X</u>
-2x - 8 + 8 = 0 + 8
-2x / -2 = 8 / -2
x = -4
Answer: x = -4 and -2x - 8
Answer:
x2
1 x (N x 2)
2 x (1 x 2) = 4
2 x (4 x 2) = 16
Step-by-step explanation:
Answer:
Step-by-step explanation:
7x - 9 = x + 3
6x - 9 = 3
6x = 12
x = 2
7(2) - 9 + 2 + 3
14 - 9 + 5
5 + 5 = 10
Answer:
a) integral = 24.72
b) |Error| ≤ 0.4267
Step-by-step explanation:
a)
The integral:

can be approximated with the midpoint rule, as follows:
6.7*(0.8 - 0.0) + 8.9*(1.6 - 0.8) + 6.9*(2.4-1.6) + 8.4*(3.2 - 2.4) = 24.72
(that is, all the intervals are 0.8 units length and f(x) is evaluated in the midpoint of the interval)
b)The error bound for the midpoint rule with <em>n</em> points is:
|Error| ≤ K*(b - a)^3/(24*n^2)
where <em>b</em> and are the limits of integration of the integral and K = max |f''(x)|
Given that -5 ≤ f''(x) ≤ 1, then K = 5. Replacing into the equation:
|Error| ≤ 5*(3.2 - 0)^3/(24*4^2) = 0.4267