Answer:
Arc AB= 180 degrees
Arc BC= 15 degrees
Arc CA= 165 degrees
Step-by-step explanation:
In order to find the measure of each arc, start by recognizing that a circle equals 360 degrees, and the measure angle of the diameter of this circle is equal to half of 360 degrees, which is 180 degrees.
Since segment AB is the diameter of the circle, it will equal 180 degrees. Thus, causing arc AB equal to 180 degrees.
Next, arc BC equals 15 degrees because the measure of angle BOC is equal to the measure of arc BC.
Then, to find the measure of arc CA, use the diameter of the circle, which is segment AB. Segment AB is equal to 180 degrees, which makes arc AB equal to 180 degrees. Also known is the measure of arc BC, which is 15 degrees. To find the measure of arc CA, subtract the measure of arc BC from the measure of arc AB, and the answer will be 165 degrees.
This looks like 180 degrees - 15 degrees = 165 degrees.
To check if the arc measures are correct, add all the arc measures together. If they sum up to 360 degrees, then the measure of each arc is correct.
Answer:
a. 5%
b. 55%
c. 70%
Step-by-step explanation:
a. The probability of customer wanting both services (P(O&T)) is:
![P(O)+P(T)+P(O\&T) = 0.75\\P(O)+P(O\&T) =0.60\\P(T)+P(O\&T) = 0.20\\P(O)+P(T)+P(O\&T) -[P(O)+P(T)+2P(O\&T)]=0.75 -(0.60-0.20)\\P(O\&T)=0.05=5\%](https://tex.z-dn.net/?f=P%28O%29%2BP%28T%29%2BP%28O%5C%26T%29%20%3D%200.75%5C%5CP%28O%29%2BP%28O%5C%26T%29%20%3D0.60%5C%5CP%28T%29%2BP%28O%5C%26T%29%20%3D%200.20%5C%5CP%28O%29%2BP%28T%29%2BP%28O%5C%26T%29%20-%5BP%28O%29%2BP%28T%29%2B2P%28O%5C%26T%29%5D%3D0.75%20-%280.60-0.20%29%5C%5CP%28O%5C%26T%29%3D0.05%3D5%5C%25)
The probability is 5%
b. The probability that the customer will need an oil change, but not a tire rotation (P(O)) is :
The probability is 55%
c. The probability that the customer will want exactly one of these two services (P(O)+P(T)) is:
The probability is 70%
Answer: so your sister sends 14 messages a day
Step-by-step explanation: you send about twelve texts a day and as a total you both send 26 so lets let your sister be x and you are 12
26- 12=x
26-12= 14
I hope this was helpful!
Answer:
56 mph
Step-by-step explanation:
Process of elimination. 126 mph is much too high because it's more than the distance and they will arrive too early. 65 + 65 ÷ 2 = 97.5, that's more than 84 miles. The reason we divide by 2 is because of the .5. Now all we have is 56 mph. To check, 56 + 56 ÷ 2 = 84
The answer is false. The radius is half the diameter, not 2 times it.
