Answer: The slope is −2/3
Step-by-step explanation:
2
x
+
3
y
=
12 is the standard form for a linear equation. To determine the slope, solve the equation for y in order to convert to the slope-intercept form y
=
m
x
+
b
, where m is the slope and b is the y-intercept.
2
x
+
3
y
=
12
Subtract 2
x from both sides.
3
y
=
−
2
x
+
12
Divide both sides by
3
.
y
=
−
2
/3
x
+
12
/3
=
y
=
−
2
/3
x
+
4
The slope is
−
2
/3
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
10/1 * 1/3 = 30/3
1 1/3 = 4/3
4/3 can only go into 30/3, 7 times, with a remainder of 2/3.
7 2/3
The minimum thickness of the book would simply be the sum
of the thickness of the two cover pages and all the pages in between. That is:
minimum thickness = 0.9 mm * 2 + 0.13 mm * 400
<span>minimum thickness = 53.8 mm</span>
Answer:
A= 30
Step-by-step explanation:
A= a+b over 2
h= 5+15 over 2 times that by 3 to get 30
