With the information given we have:

Where W is the weight, k is the proportionality constant and r is the radius of the can's radus. Remember that the weight varies jointly so this key word means that you need to multiply the mentiones parameters by a proportionality constant k.
We simply need to reorganize the expression and isolate k for the frst answer:

Replacing by all the appropiate values we get:

For the second part knowing k we have:
Answer:
x = -11
Step-by-step explanation:
I'm going to assume 80 and 60 are vertical angles so:
x + 51 + 80 + 60 = 180
x + 191 = 180
x = -11
Answer: 
Step-by-step explanation:
Given : The probability of a correct classification of any part is : p=0.96
sample size : n= 3
The formula to find the mean and variance for binomial distribution is given by :-

Let the random variable X denote the number of parts that are correctly classified.
The, for the given situation, we have

Hence, the mean and variance of X are 2.88 and 0.115 respectively.
Answer:
Measure of ∠FGE is 40.2°.
Step-by-step explanation:
Refer to the attachment.
Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.
To find the value of ∠FGE use trigonometric ratios.
Use sine ratio to find the value of ∠FGE.

Rewriting it in terms of x° as follows,

Now find the opposite and hypotenuse side of the angle ∠FGE.
So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.
Substituting the values,

Given that length of FE is 12 inch and FG is 18.6 inch.
Substituting the value,

To find the value of x, taking inverse sin.

Calculating the value,

Rounding to nearest tenth the value of angle is 40.2
Therefore measure of ∠FGE is 40.2° .
0.1 kilogram equals 100 grams