Answer:
The original triangle has sides of 18 cm, 18 cm and 10 cm
Step-by-step explanation:
Let x cm be the length of the leg of the original triangle and y cm be the length of the base of the original triangle.
1. Since the perimeter of the original triangle is 46 cm, then
x+x+y=46.
2. If it's base were lengthened by 3 cm, then it becomes y+3 cm. If each leg were shortened by 5 cm, then each leg becomes x-5 cm. All three sides became equal, then
y+3=x-5.
3. Solve the system of two equations:
Then 
Answer:
The scale of y-axis is 10, and the scale of x-axis is 1.
Step-by-step explanation:
The y-coordinates of points J, K,L,M, and N are divisible by 10, so it would be convenient to scale the y-axis to 10, doing so will result in a graph that does not occupy too much space and is therefore easier to read.
The x-coordinates of points J, K,L,M, and N are integers less than 10. Our graph will be easier to read if we scale the x-axis to 1, because then we get a graph whose x-coordinate is marked such that the x values of the points can be easily related.
Answer:
27*10⁵ is basically 270000.
Answer:
The number of carpets cleaned by new company per week is 249
Step-by-step explanation:
Let us assume :
The number of carpets cleaned by old company in 1 week = m
So, the number of carpets cleaned by new company in 1 week
= 3 x ( Number of carpets cleaned by old company)
= 3 (m) = 3 m
Total carpet cleaned altogether in a week = 332
So, Total Carpets cleaned by both companies in 1 week
= Number of carpets cleaned by ( Old + New) company in 1 week.
= m + 3 m = 4 m
⇒ 4 m = 332
or, m = 332 / 4 = 83 , or m = 83
Hence number of carpets cleaned by old company per week = m = 83
The number of carpets cleaned by new company per week
= 3 m = 3 x 83= 249
<u>(a) Construct a 95% confidence interval for the difference between the average number of intrusion attempts per day before and after the change of firewall setting (assume equal variance)</u>
