Answer:
y = 3x + 2
Step-by-step explanation:
First you want to know what the slope intercept form is. y = mx + b. Now take two points from the table and put them in the equation and get the slope of 3. Now we have y = 3x + b. To find b we need to plug in any point into the equation. I chose (-1, -1). -1 = 3(-1). Solve and you get 2. Now we are left with y = 3x + 2
let l = lance, and a = alex.
so: l + a = 70
and l = 4a
Putting the value for l in the first equation:
4a +a = 70
5a = 70
a = 14.
So Alex has 14 pencils. And Lance has (70-14) 56 pencils.
And if each child gets half of Alex' pencils, then each child will have 7 pencils.
Answer:
99.7%
Step-by-step explanation:
Given that mean (μ) = 394.3 ms and standard deviation (σ) = 84.6 ms.
The empirical rule states that for a normal distribution:
- 68% falls within one standard deviation (μ ± σ)
- 95% falls within two standard deviation (μ ± 2σ)
- 99.7% falls within three standard deviation (μ ± 3σ)
one standard deviation = 394.3 ± 84.6 = (309.7, 478.9). 68% falls within 309.7 and 478.9 ms
two standard deviation = 394.3 ± 2 × 84.6 = (225.1, 563.5). 95% falls within 225.1 and 563.5 ms
three standard deviation = 394.3 ± 3 × 84.6 = (140.5, 648.1). 99.7% falls within 140.5 and 648.1 ms
