Answer:
Line up the decimal points. **Answer is Least to greatest: 10.5 , 11, 19**
Step-by-step explanation:
You need to line each number up.
10.5
11.0
19.0
The reason why 11 and 19 have a decimal point and zero at the end is because you need to do that in order to compare the numbers.
This problem is also a little common sense because 10.5 is the smallest, 19 is the largest while 11 is in the middle.
Answer:
Part a
For the given study, the explanatory variable or independent variable is given as regularity or frequency of exercise. This variable is classify as categorical variable because variable is divided into two categories such as whether participant exercise 5 or more days a week or not.
Part b
For the given study, the response variable or dependent variable is given as frequency of colds. This variable is classified as quantitative variable because we measure the quantities or frequency of number of colds.
Part c
A confounding variable for this research study is given as incidence of upper respiratory tract infections that provides an alternative explanation for the lower frequency of colds among those who exercised 5 or more days per week, compared to those who were largely sedentary. This confounding variable is categorical in nature.
Your point (0,0) on the blue shape, when translated to the green shape, becomes (-6,-8)
Answer:
f(x) = 26500 * (0.925)^x
It will take 7 years
Step-by-step explanation:
A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. Then use your formula to determine when the value of the car will be $15,000 to the nearest year.
To find the formula we will use this formula: f(x) = a * b^x. A is our initial value which in this case is $26500. B is how much the value is increasing or decreasing. In this case it is decreasing by 7.5% per year. Since the car value is decreasing we will subtract 0.075 from 1. This will result in the formula being f(x) = 26500 * (0.925)^x. Now to find the value of the car to the nearest year of when the car will be 15000 we plug 15000 into f(x). 15000 = 26500 * (0.925)^x. First we divide both side by 26500 which will make the equation: 0.56603773584=(0.925)^x. Then we will root 0.56603773584 by 0.925. This will result in x being 7.29968 which is approximately 7 years.
Answer:
114 cm²
Step-by-step explanation:
Area of shaded region
= area of circle -area of square
Given that radius= 10cm, r= 10cm.
Let the length of a side of the square be x cm.
Applying Pythagoras Theorem,
10² +10²= x²
100 +100= x²
x²= 200
Area of square
= x²
= 200cm²
Area of shaded region
= 3.14(10²) -200
= 3.14(100) -200
= 314 -200
= 114 cm²
