Answer:
Hey!
Your answer is !
Step-by-step explanation:
Also can be written as 41/8!
HOPE THIS HELPED!
Steps to solve an equation are shown below. Which properly justifies step 4? Given: 2x + 9 = 4x + 15
1 answer:
Answer:
The answer is
→ <u><em>No property</em></u>
Step-by-step explanation:
Given equation:
What were supposed to do: Which properly justifies step 4.
Solve:
Step 1: We must subtract 4x on both sides.
Step 2: We must subtract 9 on both sides.
Step 3: We must divide both sides by -2.
Result:
There is no Step 4.
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Answer:
a) 50% of packages in this class would weigh less than 11 lbs.
b) 25% would weigh more than 11.5 lbs.
c) The average weight for a package in this class is 11 lbs.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
For this problem, we have that:
a. Suppose one of the shipping classes is 10 to 12 lbs. What proportion of packages in this class would weigh less than 11 lbs?
Uniform distribution from 10 lbs to 12 lbs, this means that .
The answer is .
50% of packages in this class would weigh less than 11 lbs.
b. What proportion would weigh more than 11.5 lbs?
Either a package weighs 11.5 lbs or less, or it weighs more than 11.5 lbs. The sum of the probabilities of these events is decimal 1. So:
25% would weigh more than 11.5 lbs.
c. What would the average weight for a package in this class be?
The mean M of the uniform distribution is:
So
The average weight for a package in this class is 11 lbs.
<h3>Answer: A) 35</h3>
===================================================
Short Explanation:
Subtract the arcs and divide by 2 like so
angle 1 = (longerArc - shorterArc)/2
angle 1 = (100 - 30)/2
angle 1 = 70/2
angle 1 = 35 degrees
---------------------------
Longer explanation:
Refer to the diagram below. I have replaced the 100 and 30 degree arcs with A and B respectively. I've also added in the arc measures of y and z.
Note how the smaller circle arc pieces A, B, y and z all form a complete full circle. So those values add to 360. We get A+B+y+z = 360. We'll use this later.
In the diagram, I've also drawn a blue segment to form a triangle. The angle x we want to find has replaced angle 1. The angles (y+B)/2 and (z+B)/2 are found through the inscribed angle theorem.
Focus on the triangle. The three angles of any triangle always add to 180, so,
(z+B)/2 + (y+B)/2 + x = 180
we can multiply both sides by 2 and we end up with
z+B + y+B + 2x = 360
z+y+2B + 2x = 360
Since we have 360 on the right hand side of this equation, and the equation A+B+y+z = 360, this means that the left sides of each equation are the same.
We can then say the following
z+y+2B + 2x = A+B+y+z
2B+2x = A+B
2x = A+B-2B
2x = A-B
x = (A-B)/2
This is the formula used in the "short explanation" section above. In this case, A = 100 and B = 30, so
x = (A-B)/2
x = (100-30)/2
x = 70/2
x = 35
The measure of angle 1 is 35 degrees.
Side note: With that formula above, we always have A > B.