Answer: b, c and e.
Step-by-step explanation:
180° degree symmetry will mean that if we do a rotation of 180°, the figure will look exactly the same.
Now, let's suppose we have a figure with an odd number of sides.
We can draw that figure such that we have a side pointing down, and a vertex pointing up.
Now when we do a 180° rotation, the side will be pointing up and the vertex will be pointing down.
Then if the figure has an odd number of sides, it does not have a 180° rotational symmetry.
Now if the figure has an even number of sides, then we can do the same as above, but now we can put two parallel sides, one facing down and the other facing up, and when we do the rotation, we will end with the same image.
Then the correct options are the ones with an even number of sides:
b, c and e.
Answer:
Square root of 65 or 8.06 to the nearest hundredth.
Step-by-step explanation:
We use the Pythagoras Theorem ( Distance Formula):
This = √ [( x2 - x1)^2 + (y2 - y1)^2 ]
= √ [( 3 - -4)^2 + (-1 - -5)^2]
= √ (7^2 + 4^2)
= √65
= 8.06 to the nearest hundredth.
Answer:
Option C) 0.830
Step-by-step explanation:
We are given the following in the question:
The heights (in inches) of males in the United States are believed to be approximately normally distributed with mean 
.
Sample size, n = 25
Sample mean, 
= 69.72 inches
Standard deviation, 
= 4.15 inches
We have to find the standard error of .
Standard error =
Thus, the standard error of is 0.83 inches.
The correct answer is
Option C) 0.830
<h2>HOW TO: SOLVE AN APPLICATION</h2>
Step 1. Identify what you are asked to find and choose a variable to represent it.
Step 2. Write a sentence that gives the information to find it.
Step 3. Translate the sentence into an equation.
Step 4. Solve the equation using good algebra techniques.
Step 5. Check the answer in the problem and make sure it makes sense.
Step 6. Write a complete sentence that answers the question.
Remember that whatever the application, once we write the sentence with the given information (Step 2), we can translate it to a percent equation and then solve it.
Do you pay a tax when you shop in your city or state? In many parts of the United States, sales tax is added to the purchase price of an item. See Figure 6.7. The sales tax is determined by computing a percent of the purchase price.
To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.
