Answer:
90⁰
Step-by-step explanation:
y=cosx
y'= -sinx
eqñ of tangent is y=-x
slope of tangent =-1
we know...
slope of tangent = y' or derivative of y
-sin x = -1
sin x= 1
x = 90⁰
The first and last choices are true.
Answer:
0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
N(489,6)
This means that 
What is the probability that the box will contain less than the advertised weight of 466 g?
This is the p-value of Z when X = 466. So



has a p-value of 0.000064
0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.
Answer: The correct answer is the second choice: "When any two polynomials are added, the result is always a polynomial."
When a set of numbers is "closed" under an operation, it means that the resulting output answer is the same type as the input.
For example, if you add 2x + 9 and 3x + 12, you get 5x + 21.
You started with 2 polynomials and you ended with a polynomial.
Answer:
A
Step-by-step explanation:
multiply 9 by 12 to get the surface area of the end of the rectangle.
you should get 108.
multiply 12 by 9 to get the surface area of the side.
you should get 135.
multiply 12 by 15 to get the surface area of the bottom.
you should get 180.
then add all your answers and multiply by 2 this will give you the total surface area and you will find that the answer is A.