This is a proportion question.
0.5:40 miles :: 5:x
Translated into division you get 0.5/40 = 5/x Cross multiply
0.5 x = 40 * 5 combine the right
0.5x = 200 divide by 0.5
0.5x/0.5 = 200/0.5 Divide
x = 400
Answer: The two cities are 400 miles apart
Answer:
△ABC is first reflected across the line y=x, then reflected across the x-axis. Since the transformations are rigid, △ABC ≅ △A''B''C''.
Step-by-step explanation:
Comparing △ABC and △A'B'C', we see that the x- and y-coordinates have been switched. This describes a reflection across the line y=x.
Comparing △A'B'C' and △A''B''C'', we see that the y-coordinates have been negated. This describes a reflection across the x-axis.
Reflections are called rigid transformations. This is because they preserve congruence and shape. Since congruence is preserved, △ABC ≅ △A''B''C''.
<em>Note. The original question with options given on the bottom</em>
Answer:
F - 1, B -2, A - 3, D - 4, C - 5, E - 6
Step-by-step explanation:
<u>F. Sample </u>
- The 25 customers that the manager observed leave
<u>B. Population </u>
- All of the bank's customers
<u>A. Statistic </u>
- The average length of time that the 25 customers waited before leaving the bank
<u>D. Parameter </u>
- The average length of time that all customers will wait before leaving the bank
<u>C. Data </u>
- The list of times for the 25 customers who left the bank
<u>E. Variable </u>
- The length of time a customer waits before leaving the bank<em>
</em>
<em>========================================================</em>
Question
<em>A bank manager is interested in the average length of time that customers are willing to wait in line before they give up and leave the bank. Match the vocabulary word with its corresponding example.</em>
<em>---------------------</em>
1. The 25 customers that the manager observed leave
2. All of the bank's customers
3. The average length of time that the 25 customers waited before leaving the bank
4. The average length of time that all customers will wait before leaving the bank
5. The list of times for the 25 customers who left the bank
6. The length of time a customer waits before leaving the bank<em>
</em>
<em>---------------------</em>
- A. Statistic
- B. Population
- C. Data
- D. Param
eter
- E. Variable
- F. Sample
Answer:
None of the answers seem to be correct.
Step-by-step explanation:
The given equation is of the form y = mx + b where m is the slope and b is the y-intercept.
Here, m = -14
Two parallel lines have the same slope. So, the slope of the new line will be -14.
To calculate the y-intercept substitute x=4 and y=4 in the equation.
4 = (-14)(4) + b
Solving for b, we get b = 60.
So, the new equation will be y = -14x + 60
