Answer:
x=10
Step-by-step explanation:
It's a 90 degree angle.
90-60=30
30=the remaining angle, 3x
x=30/3, or 10
Hope I helped!
21515754 people total* 0.38= 8175986.52 people
Final answer: C
<h3>Answer: 7 goes in the blank space</h3>
The range of values for x is 2 < x < 7
========================================
Explanation:
The hinge theorem says that the larger the opposite side is, the larger the angle will be.
AD = 11, DC = 8
Since AD > DC, this means angle ABD > angle DBC.
--------
angle ABD > angle DBC
20 > 4x-8
20+8 > 4x-8+8 ... add 8 to both sides
28 > 4x
4x < 28 ... flip both sides and the inequality sign
4x/4 < 28/4 ... divide both sides by 4
x < 7
--------
At the same time, the angle 4x-8 cannot be 0 or negative.
So we say 4x-8 > 0. Let's solve this for x.
4x-8 > 0
4x-8+8 > 0+8 ... add 8 to both sides
4x > 8
4x/4 > 8/4 ... divide both sides by 4
x > 2
2 < x ... flip both sides and the inequality sign
--------
We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7
We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.
Answer: -5.5
WOKINGS
Given that the lottery has the following number of winners:
One $2000 winner
Three $500 winners
Ten $100 winners
Also Given,
A total of 1000 tickets are sold
Each ticket costs $10
The expected winning for a person purchasing one ticket is
the sum of the products of the gain/loss and their corresponding probability.
There is one $2000 winner
There are 1000 tickets
The probability of winning $2000
= 1/1000
= .001
There are three $500 winners
There are 1000 tickets
The probability of winning $500
= 3/1000
= .003
There are ten $100 winners
There are 1000 tickets
The probability of winning $100
= 10/1000
= .01
Since each ticket costs $10
Everyone who buys a ticket automatically loses $10.
Therefore, the probability of losing $10 is 1
Now to calculate the expected winning for a person
purchasing one ticket
= 2000(.001) + 500(.003) + 100(.01) – 10(1)
= 2 + 1.5 + 1 – 10
= -5.5
The expected winning is -5.5. This implies that a person
playing this lottery can expect to lose $5.50 for every one ticket that they purchase.