circular cardboard with an area between 154 in² and 616 in²
Radius is between 7 inches and 14 inches. ⇒ A) 7 < r < 14
√18 + √2 = √9 *2 + √2 = 3√2 + √2 = (3+1) √2 = 4√2
D) It is irrational and equal to 4 multiplied by the square root of 2.
Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
It’s b
it has to be 20 c long … kskdhdhiIakakkwdydyxiajajshsuuaisudj
From the given information we can write the equation:
-16t^2 +96t + 4 = 112
-16t^2 + 96t + 4 - 112 = 0
-16t^2 + 96t - 108 = 0
simplify, change the signs, divide by -4
4t^2 - 24t + 27 = 0
You can use the qudratic formula but this will factor to
(2t-3)(2t-9) = 0
Two solutions
t = 3/2
t = 1.5 seconds at 112 ft on the way up
and
t = 9/2
t = 4.5 seconds at 112 ft on the way back down
Graphically, (green line is 112 ft)
Answer:
y = 3x - 5
Step-by-step explanation:
y = mx + b
m (slope) = 3/1 or 3
b (y-intercept) = -5
y = 3x - 5
