Answer:
We reject the null hypothesis, and accept the alternative hypothesis.
So, it means that the machine is under filling the bags
Step-by-step explanation:
Given
Null Hypothesis
--- works correctly at 419g
Alternate Hypothesis
--- under fills the bag
--- the sample
--- the mean
--- the standard deviation
--- the significance level
Required
What is the decision rule
Since n is less than 30, we make use of t test





Calculate df



Calculate the p value from the Student's t-distribution at df = 14 and 
Given that: 
Since 
So, it means that the machine is under filling the bags
Answer:
a = 9.4 cm
b = 12.0 cm
Step-by-step explanation:
Check the image uploaded for diagram;
For the first diagram, side length a is calculated as follows;
a² = 8² + 5²
a² = 64 + 25
a² = 89
a = √89
a = 9.4 cm ( approximated to 1 decimal place)
For the second diagram, side length b is calculated as follows;
b² = 17² - 12²
b² = 145
b = √145
b = 12.0 cm (approximated to 1 decimal place)
1.

The ordered pairs (-2,3) and (5,1) make the inequality true.
2.

The simplified form of the expression is 3y-30.
5, 10, 15, 20, 5n, 470
You just need to multiply the value by 5.
The answer is 20.
Hope this helps!! May I have brainliest?