Hi so I’m going to help you solve this question “Miss Malleys cousin lives 1,650 miles away Mrs. O’Malley wants a gift card for hundred gallons of gas if her car can travel 35 miles of each gallon can she drive round trip to see her cousin on the free gas explain how you know.”
We know that she wants a giftcard for 100 gallons of gas
So 100 times is going to=the gallons of gas
Our equation is going to end up like 100(35)=3500
Since she had to go 3500 miles on the free gas.
3500miles>1650
Therefore, she can drive round-trip to see her cousin on the free gas because her total distance can cover more than 1650 miles the amount of her cousin’s location. So then the correct answer is yes.
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.
Convert into point slope form
6x-2y=12
-2y=-6x+12
y= 3x-6
Final answer: slope= 3, y intercept= -6