Answer:
47.5%
Step-by-step explanation:
Find the z-scores:
z = (x − μ) / σ
z₁ = (300 − 400) / 50 = -2
z₂ = (400 − 400) / 50 = 0
300 is 2 standard deviations below the mean, and 400 is 0 standard deviations from the mean.
From the empirical rule, 95% of a normal distribution is between -2 and +2 standard deviations. Since normal distributions are symmetrical, that means half of that is between -2 and 0 standard deviations.
95% / 2 = 47.5%
Answer:
3.25 cupcakes per minute or a rate of 3.25/1
Step-by-step explanation:
g(2) means plug in x = 2 into the function g(x) = |-2x + 4| and f(-1) means plug x = -1 into f(x) = 3x - 1.
That will give you two numbers that you can then use to calculate g(2) - f(-1)
To get an average of 70 on his test Paul needs to score at least 66 on his third test
2. Slope: -4, y-intercept: -2