Answer:
a) P(X<50)=0.9827
b) P(X>47)=0.4321
c) P(-1.5<z<1.5)=0.8664
Step-by-step explanation:
We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.
a) This means we have to calculate P(x<50).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

b) We have to calculatee P(x>47).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

Answer: = x11+x2+2
Step-by-step explanation:
Answer:
The decimal point should be placed after the 0 in 45780.
Step-by-step explanation:
Answer:
The equation of the function: y = mx + b
- m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
- b = y-intercept = -3
Therefore, the equation is <u>f(x) = 2x - 3</u>
When x = 0, f(x) = 2(0) - 3 = <u>-3</u>
When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)