The values of the two supplementary angles are 89 and 1.
To arrive at this, we set the angles as A and B.
We understand that A=B+88 and A+B=90 degrees. Solving this gives A as 89 and B as 1.
Answer:
Step-by-step explanation:
Given
Required
Calculate the hourly rate
First, we will determine the amount of ice cream that was sold
Next, calculate the average hourly rate:
-- Approximated
In order to determine this probability, we calculate using this difference:
To obtain these probabilities, it’s possible to utilize normal standard distribution tables, a calculator, or software like Excel. The accompanying figure displays the results achieved. Here’s a detailed breakdown of the steps: Relevant concepts include the normal distribution, which describes a probability distribution that is symmetric regarding the mean, demonstrating that occurrences close to the mean are more likely than those farther away. The Z-score represents a statistical measure illustrating how far a value is from the average of a set, expressed in standard deviations.
For our analysis, let X denote the random variable representing weights in a population, with its distribution characterized by:
We’re specifically interested in this probability. The most effective approach to address this issue is through the standard normal distribution and the Z-score calculation, expressed as:
Applying this formula to our probability provides the following:
This allows us to calculate this probability with the provided difference:
We use standard distribution tables, a calculator, or Excel for determining these probabilities. The graph illustrates the resulting outcome.
Let x represent the hot dogs
and y represent the snacks
The equation x + y = 175
Rewrite x as 175 - y
And the second equation: 2.50x + 0.75y = 262.50
Substitute to get 2.50(175 - y) + 0.75y = 262.50
Which simplifies to 437.50 - 2.50y + 0.75y = 262.50
Rearranging gives -1.75y = -175
Hence, solving for y results in y = -175 / -1.75 = 100
Thus, 100 snacks and 75 hot dogs were sold
