Hello,
When you have a polygon inscribed in a circle, the opposite angles are supplementary.
So we can start by saying that A + C = 180. Or x + 3x = 180. This gives us a value of 45 for x.
If we input that in for angle B, we get: 2(25) - 10 = 80.
If angle B = 80, then angle D must be 100, because the angles are supplementary.
Good luck,
MrEQ
The answer to the first problem is G.
Since there are 3 boys and 9 girls who are left-handed, that makes 12 people in total in sixth grade who are left-handed. The total number of sixth graders at the middle school is 150 since there are 90 girls and 60 boys in that grade. Divide 150 from 12 to get 0.08. You change it to percentage form by multiplying 0.08 by 100 to get 8%.
The answer for the second problem is C. You change the percentage (in this case it is 76%) to decimal form by dividing by 100 to get 0.76. You then multiply 0.76 with 8,950 to get 6,802.
Answer:
D. (142886, 196914).
Step-by-step explanation:
To solve for this question, we would use t score instead of z score. The reason is because, our sample size is small.
The formula for Confidence Interval =
C.I = Mean ± t score × standard deviation/√n
n = 5 samples
Degrees of freedom = n - 1 = 5 - 1 = 4
The t score for a 95% confidence interval with degrees of freedom 5 is : 2.776
Hence,
Confidence Interval =
169,900 ± 2.776 × 21,756/√5
169,900 ± 2.776 × 9.7295789837
169, 900 ± 27009.311259
Confidence Interval
169,900 - 27009
= 142886
169, 900 + 27009.311259
= 196914
Hence, the confidence interval = (142886, 196914)
Option D is the correct answer
Answer:
1.556
Step-by-step explanation:
Log(9.4)
Can also be written as
Log9+Log4
0.954+0.602
=1.556
