Answer:
a.) The mean of the six layered plywood is 30 mm
The standard deviation is 0.49 mm
b.) That the thickness is less than 28 mm has a probability of 0.000022.
Step-by-step explanation:
There are six layers in a plywood that is considered. It is also given that the layers are independent and normally distributed.
The thickness of the layers of the plywood have a mean,
= 5 mm
and a standard deviation,
= 0.2 mm.
a.) Therefore the mean of the six layered plywood is = 6
= 6 × 5 mmm
= 30 mm
The standard deviation of the six layered plywood =
=
= 0.49 mm
b.) We are given to find that the probability of the plywood is less than 28 mm thick.
P( thickness < 28 mm)
P( Z <
) = P(Z <
) ⇒ P( Z < -4.082) = 0.000022
Answer:202.1
Step-by-step explanation:
Add all the days she worked up (7.5+9.75+6.25) =23.5
Now simply just multiply it with 8.60 and you get your answer
Hope this helps :)
Answer: a)
are needed to travel 8 miles
b) Town X and town Y are 15 miles apart.
Step-by-step explanation:
Given : Gasoline used to travel 5 miles = 3t gallons
a) To find: Gasoline used to travel 8 miles = ?
Using unitary method:
If Gasoline used to travel 5 miles = 3t gallons
Thus Gasoline used to travel 8 miles = 
are needed to travel 8 miles
b) when 3t gallons of gasoline are used , distance covered = 5 miles
Thus when 9t gallons of gasoline are used , distance covered = 
Thus town X and town Y are 15 miles apart.
Slope intercept form follows this general equation...

With this information you have posted, all you can do is find slope, your m. To calculate for slope, you need to use this following equation...

Then, you pick one of your coordinate pairs to be 1 and the other to be 2. I will choose the first coordinate pair as 1, so...

You plug in -1 into your slope formula...

Now, to find your y-intercept, or b, you must plug in one of your coordinate pairs. In that equation, you may plug in the values (3,3), so you'll have...

Just solve for b and you will be done
The nth term is 6n^2-11n+16