Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
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.
Mean 490 mg and variance of 400.
This means that 
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So
has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
As the angles are complementary sin A = cos B and sin B = cos A
so sin A + sin B = 0.55 + 0.83 = 1.38
Answer:
There were 6 onion rings and 2 slider in the combination meal.
Step-by-step explanation:
Let x be the number of onion rings and y be the number of slider.
Calories in one onion ring = 45 calories
Calories in one slider = 325 calories
Total number of calories = 920
Thus, we can write the equation:
There are 3 times as many onion rings as the sliders.
Thus, we can write the equation:
Solving the two equation by substitution method, we get,
Thus, there were 6 onion rings and 2 slider in the combination meal.
By definition, complementary angles are "two angles whose sum is equal to 90 degrees." This can be expressed using the following formula:
(Angle 1) + (Angle 2) = 90
Substitute any known values into the equation:
62.9 + (A2) = 90
Subtract 62.9 from both sides if the equation:
A2 = 27.1
The measure of the complementary angle (A2) is 27.1 degrees.
I hope this helps!
Algebra is made up of quantities and the operations performed on them are addition, subtraction, multiplication and division.
<span>Algebra is a branch of mathematics. It concerns itself with operations on sets of numbers or other elements. The sets of numbers and elements are represented by symbols. Algebra can be seen as a generalisation of arithmetic. Letters are substituted for numbers in Algebra. For example, x + 2x will always equal 3x no matter what values the symbol x represents. The algebraic can also include polynomial functions of one or more of the variables. </span>
