Answer:
99.87% of cans have less than 362 grams of lemonade mix
Step-by-step explanation:
Let the the random variable X denote the amounts of lemonade mix in cans of lemonade mix . The X is normally distributed with a mean of 350 and a standard deviation of 4. We are required to determine the percent of cans that have less than 362 grams of lemonade mix;
We first determine the probability that the amounts of lemonade mix in a can is less than 362 grams;
Pr(X<362)
We calculate the z-score by standardizing the random variable X;
Pr(X<362) = 
This probability is equivalent to the area to the left of 3 in a standard normal curve. From the standard normal tables;
Pr(Z<3) = 0.9987
Therefore, 99.87% of cans have less than 362 grams of lemonade mix
Hey there!


When always adding or subtracting, you <em>always</em> have to <u>line up the decimal</u>.
When subtracting decimals with the same sign you <u>Line up the decimal</u>.
Hope this helps!
Answer:
(-17/13, 10/13)
Step-by-step explanation:
Next time, please include more info regarding what you're supposed to do. I will assume that the instructions said "solve this system of linear equations using elimination by addition and subtraction."
Multiply all three terms of the second equation by -5. Then the system looks like:
5x + 2y = -5
-5X + -15y = -5
Next, combine these two equations:
5x + 2y = -5
-5X + -15y = -5
----------------------
-13y = -10
Dividing both sides by -13 yields y = 10/13.
Substituing 10/13 for y in the second equation, we get:
x + 3(10/13) = 1
Multiplying all three terms by 13 eliminates fractions:
13x + 30 = 13, or 13x = -17. Then x = -17/13, and the solution is
(-17/13, 10/13)
C 12 minutes is the correct answer. Hope this helps :)