Answer:
Step-by-step explanation:
m∠2 = 52° [Alternate interior angles]
m∠1 + m∠2 = 180° [Linear pair of angles are supplementary]
m∠1 = 180° - 52°
m∠1 = 128°
m∠3 = 47° [Alternate interior angles]
m∠5 + 52° + 47° = 180° [Sum of linear angles is 180°]
m∠5 = 180° - 99°
= 81°
m∠4 + 47° = 180° [Sum of consecutive interior angles is 180°]
m∠4 = 180° - 47°
m∠4 = 137°
X is equal to 22.25 so all you have to do is to fill it in and find the answers
Answer:
m is -12/7 and b is -64/7
Step-by-step explanation:
Use rise over run (change in y / change in x) to find the slope, m:
(-4 - 8) / (-3 + 10)
= -12/7
So, m is -12/7.
Plug in this value and a point into y = mx + b, then solve for b:
y = mx + b
-4 = -12/7(-3) + b
-4 = 36/7 + b
-64/7 = b
So, m is -12/7 and b is -64/7
Answer:
The required probability is 0.533.
Step-by-step explanation:
Consider the provided information.
The actual weight of the chocolate has a uniform distribution ranging from 31 to 32.5 ounces.
Let x is the random variable for the actual weight of chocolate.
According to PDF function.

Where 
It is given that ranging from 31 to 32.5 ounces.
Substitute a=31 and b=32.5 in above function.


We need to find the probability that a box weighs less than 31.8 ounces
Now according to PDF:


Hence, the required probability is 0.533.
Answer:

Step-by-step explanation:
