The equation for a 180 degree angle is
(X,Y) - (-x,-y) so the original is at (2,4)(4,4)(2,6)(4,6) so you would Change them all to negatives (-2,-4)(-4,-4)(-2,-6)(-4,-6) so plot those then move it over to the left 3 units then up 7 and that’s your final answer
Answer:
For this case we know that the confidence level is 90% so then the significance level is 
and 
. And we can find in the normal standard distribution a value who accumulates 0.5 of the area on each tail and we got:
And the best option would be:
1.645
Step-by-step explanation:
We assume that the parameter of interest is 
and we can assume that the distribution for this parameter is normally distributed so then the confidence interval assuming a two sided interval is given by:
Where 
represent the estimator for the parameter, SE the standard error and 
the critical value.
For this case we know that the confidence level is 90% so then the significance level is and . And we can find in the normal standard distribution a value who accumulates 0.5 of the area on each tail and we got:
And the best option would be:
1.645
Answer: 2.5
Step-by-step explanation:
5/10 * 5
5 becomes 5/1
Multiply 5*5 and get 25
Multiply 10*1 and get 10
Divide 25/10 and get 2.5
Remember: When multiplying decimals move to the RIGHT. When dividing decimals move to the LEFT
Example Multiplying: 2.465*100
Before: 2.465
After: 246.5
Example Dividing: 156.798 divided by 100
Before: 156.798
After: 1.56798
Hope this helps!!!!
Answer:
740 feet
Step-by-step explanation:
The speed of the cheetah is 74 feet per second:
speed = distance ÷ time
= 296 ÷ 4 = 74 feet per second
In 10 seconds:
distance = speed × time
= 74 × 10
= 740 feet
First, we should answer two simple questions.
1. How many ways can we travel from a-b?
2. How many ways can we travel from b-c?
This is given in the problem - because there are 7 roads connecting a to b, there are 7 ways to get from a-b. Because there are 6 roads from b-c, there are 6 ways to get from b-c.
Now that we understand this, we can use some logic to figure out the rest of the problem. Let's think about each case.
Let's go from a-b. We'll choose road 1 of 7. Now that we are in b, we have 6 more choices. This means that there are 6 ways to get to from a-c if we take road 1 when we go to b.
If we take any road going from a-b, there will be 6 options to get from b-c.
So, we can just add up the number of options because we know that there are 6 routes per road from a-b. This is simply 7*6 = 42. So, there are 42 ways to travel from a to c via b.
