All you need to know is that:
- In the first quadrant, both coordinates are positive
- In the second quadrant, x is negative and y is positive
- In the third quadrant, both coordinates are negative
- In the fourth quadrant, x is positive and y is negative
- The sine is the y coordinate of the points on the unit circle
- The cosine is the x coordinate of the points on the unit circle
- The cotangent function is defined as the ration between the cosine and the sine of an angle.
So, if sin theta is negative and cot theta is positive, you're saying that you're looking at a point with negative y coordinate and such that
The ratio of two numbers is positive if and only if they have the same sign, so the cosine must by negative as well.
Saying that an angle has negative sine and cosine is the same as saying that the angle identifies a point on the unit circle where both x and y coordinates are negative.
So, if you look at the bullet list at the beginning, you'll see that the point is in the third quadrant.
A scatter diagram has points that show the relationship between two sets of data.
We have the following data,
where <em>x</em> is the average number of employees in a group health insurance plan and <em>y</em> is the average administrative cost as a percentage of claims.
To make a scatter diagram you must, draw a graph with the independent variable on the horizontal axis (<em>in this case x</em>) and the dependent variable on the vertical axis (<em>in this case y</em>). For each pair of data, put a dot or a symbol where the x-axis value intersects the y-axis value.
Linear regression is a way to describe a relationship between two variables through an equation of a straight line, called line of best fit, that most closely models this relationship.
To find the line of best fit for the points, follow these steps:
Step 1: Find 
and 
as it was done in the below table.
Step 2: Find the sum of every column:
Step 3: Use the following equations to find intercept a and slope b:
Step 4: Assemble the equation of a line
The book has the greater mass is book A and It is 60 grams greater.
<h3>The book with the greater mass?</h3>
The table of values is given as;
1-kilogram 500-gram 100-gram 10-gram
Book A 1 0 7 4
Book B 0 3 1 8
The weights of the books are calculated as:
Book A = 1 * 1kg + 0 * 500g + 7 * 100g +4 * 10g = 1740 g
Book B = 0 * 1kg + 3 * 500g + 1 * 100g +8 * 10g = 1680 g
1740 is greater than 1680 by 60
This means that the book has the greater mass is book A and It is 60 grams greater.
Read more about metric units at:
brainly.com/question/2555957
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Answer:
Hooverville
Step-by-step explanation:
Answer:
Jo's drink have more pineapple taste than the tropical drink and less orange taste than the tropical drink
Step-by-step explanation:
A recipe for tropical punch calls for 2 cups of pineapple juice and 3 cups of orange juice. Jo creates a drink by mixing 3 cups of pineapple juice with 4 cups of orange juice. How does Jo's drink compare to the tropical punch recipe?
Tropical punch:
Pineapple juice = 2 cups
Orange juice = 3 cups
Total number of cups of juice = 2 + 3
= 5 cups.
Percentage of pineapple juice in tropical punch = 2/5 × 100
= 40%
Percentage of orange juice in tropical punch = 3/5 × 100
= 60%
Jo's drink:
Pineapple juice = 3 cups
Orange juice = 4 cups
Total number of cups of juice = 3 + 4
= 7 cups
Percentage of pineapple in Jo's drink = 3/7 × 100
= 42.86%
Percentage of orange juice Jo's drink = 4/7 × 100
= 57.14%
Therefore, Jo's drink have more pineapple taste than the tropical drink and less orange taste than the tropical drink
