Answer:
Step-by-step explanation:
a°=180°-36°=144° b°=180°-113°=67°
a°=144° and b°=67°
144+67=211
36+113=149
149+211=360
Answer:
–0.5
Step-by-step explanation:
Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.
The odd rolls are 1, 3 and 5. The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.
The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.
The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.
Rolling any even number gives us the same value. The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.
Together we have
1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5
Answer:
<em>0.78</em>
Step-by-step explanation:
From the question, we are to represent 78% as a decimal
78% = 78/100
78/100 = 78 * 1/100
78/100 = 78 * 0.01
78/100 = 0.78
<em>hence the percent written as a decimal is 0.78</em>
Answer:
![Earnings = 650](https://tex.z-dn.net/?f=Earnings%20%3D%20650)
![New\ Value = 5650](https://tex.z-dn.net/?f=New%5C%20Value%20%3D%205650)
Step-by-step explanation:
Given
![Amount = 5000](https://tex.z-dn.net/?f=Amount%20%3D%205000)
![Rate = 13\%](https://tex.z-dn.net/?f=Rate%20%3D%2013%5C%25)
Solving (a): The earnings.
This is calculated as:
![Earnings = Amount * Rate](https://tex.z-dn.net/?f=Earnings%20%3D%20Amount%20%2A%20Rate)
![Earnings = 5000 * 13\%](https://tex.z-dn.net/?f=Earnings%20%3D%205000%20%2A%2013%5C%25)
![Earnings = 650](https://tex.z-dn.net/?f=Earnings%20%3D%20650)
Solving (b): New Value
This is calculated as:
So, we have:
![New\ Value = Amount + Earnings](https://tex.z-dn.net/?f=New%5C%20Value%20%3D%20Amount%20%2B%20Earnings)
![New\ Value = 5000 + 650](https://tex.z-dn.net/?f=New%5C%20Value%20%3D%205000%20%2B%20650)
![New\ Value = 5650](https://tex.z-dn.net/?f=New%5C%20Value%20%3D%205650)