Answer:

Step-by-step explanation:
First find the <em>rate of change</em> [<em>slope</em>]:


Then plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope Formula</em> because you get it done much swiftly. It does not matter which ordered pair you choose:
−7 = −2[4] + b
−8

If you want it in <em>Standard Form</em>:
y = −2x + 1
+2x + 2x
_________

_______________________________________________
5 = [−2]² + b
4

y = −2x + 1
+2x + 2x
_________

** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.
I am joyous to assist you anytime.
Answer:
x is 20
Step-by-step explanation:
3x-14=46
3x=60
x=20
90° counterclockwise = 270° clockwise
Algebraic Representation : 270° clockwise turn,
( x , y ) ==> ( y , - x )
C ( 5 , 1 ) ==> C' ( 1 , - 5 )
~~
I hope that helps you out !!
Any more questions, please feel free to ask me and I will gladly help you out !!
~Zoey
Answer: Adjacent
Step-by-step explanation:
Complementary means angles summing upto 90°
Vertical means opposite angles
Supplementary means angles summing upto 180°
So, the resonable answer will be adjacent since both the angles are beside each other.
Answer: 0.283
Step-by-step explanation:
Formula to find the lower limit of the confidence interval for population proportion is given by :-

, where
= sample proportion.
z* = Critical value
n= Sample size.
Let p be the true proportion of people who would purchase a defective item.
Given : Sample size = 993
Number of individuals would buy a slightly defective item if it cost less than a dollar = 305
Then, sample proportion of people who would purchase a defective item:

Critical value for 90% confidence interval = z*=1.645 (By z-table)
The lower bound of a 90% confidence interval for the true proportion of people who would purchase a defective item will become


[rounded to the nearest three decimal places.]
Hence, the lower bound of a 90% confidence interval for the true proportion of people who would purchase a defective item.= 0.283