Answer:
we choose (3,4)
Step-by-step explanation:
Given the coordinates:
- A (5, 2)
- B (5, -2)
- C (2,1)
- L (-5, 6)
- M (-5, -6)
To find a distance between two points or the length of the segment, we use the following formula:

- Because A and B are located in the same line x =5
=> the lenght of AB =
- Because A and B are located in the same line x =-5
=> the lenght LM =
- Because ABC is similar to LMN
=> the ratio of LM : AB = 12:4 = 3:1
<=> the ratio LN : CA = 3:1
We need to find the lenght of CA
=
=> the lenght of LN = 3CA = 3
Let (x, y) is the coordinate of N, we have:
The length of LN:
=
Let try all the possible answer;
(3,4) =>
True
So we choose (3,4)
Answer: Reject the eight- ounces claim.
Step-by-step explanation:
For left tailed test , On a normal curve the rejection area lies on the left side of the critical value.
It means that if the observed z-value is less than the critical value then it will fall into the rejection region other wise not.
As per given ,
Objective : A coffee-dispensing machine is supposed to deliver eight ounces of liquid or less.
Then ,
, since alternative hypothesis is left-tailed thus the test is an left-tailed test.
the critical value for z for a one-tailed test with the tail in the left end is -1.645 and the obtained value is -1.87.
Clearly , -1.87 < -1.645
⇒ -1.87 falls under rejection region.
⇒ Decision : Reject null hypothesis.
i.e. we reject the eight- ounces claim.
1,600 800+800=1,600 this is your answer
Answer:
<u>4-0</u>
3-0
=4/3
<u>y-0</u> =4/3
x-0
3y-0=4x-0
3y=4x
y=4/3x
Step-by-step explanation: