Might be 134 because since angle 2 and 8 are lined up like that it is same side exterior angles which means they are supplementary from each other so they will equal 180. So I did 180-46 to get 134, I’m not sure if I’m correct
This is some simple Algebra
So it's 4x+16=-2
We subtract 16 from both sides
4x=-18
Sivide both sides by 4
X=-4.5
If you need more of an explanation I am happy to elaborate
Answer:
(a) There are outliers
(b)
and 
Step-by-step explanation:
Given







Solving (a): Check for outliers
This is calculated using:
--- lower bound of outlier
--- upper bound of outlier
Where

So, we have:


The lower bound of outlier becomes




The upper bound of outlier becomes




So, we have:
--- the range without outlier
Given that:
--- This represents the lowest data
--- This represents the highest data
-24 and 64 are out of range of
.
Hence, there are outliers
Solving (b): The outliers
The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)
So, the outliers are:
and 
1) cf= 24 hours/1 day, 1 hour/60 minutes
30 x 1/60 = .5
10 x 24/1 = 240
240 + .5 = 240.5 hours
2) cf = 24 hours/1 day, 60 minutes/1 hour, 12 inches/1 foot
a) 0.6 x 12/1 = 7.2 inches
b) 7.2 x 1/24 = 0.3 inches per hour
Answer:
Test statistic = -2.25
P-value = 0.0199
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 450 gram
Sample mean,
= 441 grams
Sample size, n = 16
Alpha, α = 0.05
Sample variance = 256

First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Degree of freedom =

We can calculate the p-value from the table as:
P-value = 0.0199
Conclusion:
Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.
Thus, there is enough evidence to support the claim that the machine is under filling the bags .