Answer:
a) 0.62%
b) 518 g
Step-by-step explanation:
a)
Here we want the area under the Normal curve of mean = 500 g and standard deviation s = 10 g to the left of 475 (the probability that the machine produces a box with less than 475 g of cereal).
With the help of a spreadsheet we found that value is 0.0062 or 0.62% (another way of seeing it is that 62 boxes out of 10,000 will have 475 g or less)
<h3>See picture</h3>
b)
Here we want to find a value of such that the area of the Normal curve of mean and standard deviation 10 to the left of 500 is 4% or 0.04
If we make the change
then this is equivalent to finding a value of z for which the area under the Normal curve N(0,1) (mean = 0 s = 1) to the left of z is 4% = 0.04
Either by using a table or spreadsheet, we find that value is z = -1.751
So,
and the manufacturer must set its filling machine to the target weight of 518 g.
Using the formula for slope, we can find out that
So -105 is the slope, and because she bought her laptop at $1160, the y-intercept is 1160. This means that the equation is V(t)=-105t+1160.
Answer:
x=19
Step-by-step explanation:
The 2 angles are inside of a right angle. We know this because of the little square in the corner. Therefore, they are complementary angles. When they are added together, they must equal 90 degrees.
3x+11+22=90
Combine like terms by adding 11 and 22
3x+33=90
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
33 is being added to 3x. The opposite of addition is subtraction. Subtract 33 from both sides.
3x+33-33=90-33
3x=90-33
3x=57
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
3x/3=57/3
x=57/3
<u>x=19</u>
Answer:
44
Step-by-step explanation:
So,Your Perimeter is the total of three sides
And You Know the Length of the two sides
You do=26+18=44
Yo sup??
We can solve this problem by applying trigonometric ratios.
sin36=XY/WY
WY=5/sin36
=8.5
Hope this helps.