Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.
Answer:
He runs 2/3 mile in 8 mins, he runs one mile in 12 mins
-13 and -14
They both are consecutive negative integers that multiply to 182.
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x------> the number of times Emma mows the lawn
y------> the number of hours Emma babysits
we know that
------> inequality that represent the situation
The solution is the shade area above the solid line between the values of x and y positive
The equation of the solid line is equal to 
The slope of the line is negative 
The y-intercept of the line is the point 
(value of y when the value of x is equal to zero)
The x-intercept of the line is the point 
(value of x when the value of y is equal to zero)
so
The graph in the attached figure
