Answer:
Step-by-step explanation:
The shaded region is the difference of areas of semicircle AB and triangle ABC.
ABC is right triangle as AB is diameter, so C is right angle.
<u>Area of semicircle:</u>
- A = 1/2πr² = 1/2*3.14*4² = 25.12 cm²
<u>Area of triangle:</u>
- A = 1/2BC*AC = 1/2*4*
= 2
= 13.86 cm²
<u>Shaded are is:</u>
- 25.12 - 13.86 = 11.26 cm²
Answer:
2(x+10) = 3x-30 (reason: vertical angles are congruent)
2x+20 = 3x-30
20 = 1x-30
1x = 20+30
1x = 50
x = 50
Answer:
30
Step-by-step explanation:
the answer is 30 because if you count by 6 it would go 6,12,18,24,30,36,42 and if you go by 15 it would be 15,30,45,60,75,90..... and the only number that you see twice is 30 so the answer would be 30. Hope this helped...
Answer:
95 intervals
Step-by-step explanation:
Given that
population mean = 100
standard deviation = 15
number of interval that involve the mean for 95% confidence interval is calculated as
We know that when we measure the 99 percent confidence interval, 99 outof 100 confidence interval are required to provide the mean population.
similarly
Assuming we measure a confidence interval of 95 percent, then we should expect 95 out of 100 confidence interval to provide the mean population therefore, answer is 95