Answer:
2.5 seconds after the initial ball was struck.
Step-by-step explanation:
The height equations are:
At the point where the balls intersect, both heights are alike, therefore:
-16t² + 56t = -16t² + 156t - 248
-16t² + 56t + 16t² - 156t + 248 = 0
- 100t + 248 = 0
248 = 100t
t = 248/100
t = 2.48 ≈ 2.5
Answer: 26.3 mm
Step-by-step explanation:
The two-standard deviations rule for outliers states that any value lying outside two standard deviations from the average is considered an outlier.
Given that the Mean is 23.5 millimeters (mm) and the standard deviation is 1.4 mm
The maximum thickness that should be reviewed = mean + 2 (standard deviation)
= 23.5 + 2(1.4)
= 23.5 + 2.8
= 26.3 mm
therefore, the maximum thickness warranting machine configuration review by the statistician = 26.3 mm.
x:200
x/200 =.2121212121...
200(x/200) = 200(.2121212121...)
x = 42.4242...
The expectation is that a player would achieve 42 hits over 200 at-bats.
Answer: You would need 40 bushels of seed to plant 30 acres of wheat.
Step-by-step explanation:
<pTypically, 1 1/3 bushels of seed are necessary to cultivate 1 acre of wheat. In improper fraction form, 1 1/3 bushels becomes 4/3 bushels.
Let x denote the bushels of seed required for 30 acres. Thus, we have
4/3 bushels = 1 acre
x = 30 acres
Cross multiplying gives us
x × 1 = 4/3 × 30
x = 40 bushels of seed
To determine the total number of pennies Ella possesses, multiply the number of stacks by the amount in each stack: 50 stacks times 10 pennies each equals 500 pennies.
