Answer:
arc RP = 84 degrees
Step-by-step explanation:
If the angle NPQ is 102 degrees, we can find the angle NPM:
NPM + NPQ = 180
NPM + 102 = 180
NPM = 78 degrees.
Now, with the triangle NPM, we can find the angle MNP:
60 + 78 + MNP = 180
MNP = 180 - 60 - 78 = 42 degrees
The angle MNP is inscribed in the circle, and is related to the arc RP:
arc RP = 2 * MNP
arc RP = 2 * 42 = 84 degrees
Answer:
A sample of 997 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of 
.
The margin of error is of:
A previous study indicates that the proportion of left-handed golfers is 8%.
This means that 
98% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?
This is n for which M = 0.02. So
Rounding up:
A sample of 997 is needed.
1. 84 = 1 x 84
2. 84 = 2 x 42
3. 84 = 3 x 28
4. 84 = 4 x 21
5. 84 = 6 x 14
6. 85 = 7 x 12
Hope this helps!
Ex. 85+91= 176
176 divided by 2 = 88
Therefore the minimum score he can get is a 91
You start with a 1/4 chance of picking a diamond.
you remove it from the deck you now have a 12/51 chance of picking a diamond
1/17 is your answer!
Like my answer? Make it a Brainliest! Thanks!
