Answer:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
Step-by-step explanation:
Information provided
represent the sample mean
represent the population deviation
sample size
represent the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
Given:
The piecewise function is
To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions 
and 
as linear functions.
Starting value of is at x=-4 and end value is at x=3.
Starting value: 
End value: 
Starting value of is at x=3 and end value is at x=6.
Starting value: 
End value: 
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.
The value of x would be 7
Answer:2 meters per second.
.
Step-by-step explanation: For every 1 second, she swims another 2 meters.
Answer:
4
Step-by-step explanation:
90 percent is 9/10 of total possible
x = total possible points
x * 9/10 = 36
x = 36 * (10/9) = 4 * 10 = 40
40 - 36 = 4
