4. A<span>=<span><span><span><span>2π</span>r</span>h</span>+<span><span>2π</span><span>r2</span></span></span></span><span>=<span><span><span><span>2·π</span>·4</span>·7</span>+<span><span>2·π</span>·<span>42</span></span></span></span><span>≈<span>276.46015 = 276
5. </span></span>A<span>=<span><span><span><span>2π</span>r</span>h</span>+<span><span>2π</span><span>r2</span></span></span></span><span>=<span><span><span><span>2·π</span>·10</span>·9</span>+<span><span>2·π</span>·<span>102</span></span></span></span><span>≈<span>1193.80521 = 1193.81</span></span>
Keep these rules in mind:
- (a + b)² = a² + 2ab + b²
- (a - b)² = a² - 2ab + b²
- (a + b)(a - b) = a² - b²
Firstly, solve the exponent and multiplication:
Next, combine like terms:
Next, subtract 4x² on both sides:
Next, subtract 25 on both sides:
Lastly, divide both sides by -20.5. And since you are dividing by a <u>negative</u>, flip the inequality sign:
<u>Your answer is x > 2.</u>
Step-by-step explanation:
Would you perhaps make your question a little bit clear
Answer: a) 0.0058
b) 0.0026
Step-by-step explanation:
Given : The probability of having clear sunny skies in Seattle in July : p= 0.40
The number of days spent in Seattle in July: n= 18
a) Using, Binomial probability formula :
The probability of having clear sunny skies on at least 13 of those days:-
b) On converting binomial to normal distribution, we have
Let x be the number of days having clear sunny skies in Seattle in July.
Then, using we have
P-value =
<h3>Reference angle:</h3>
1st quadrant (0° to 90°) : only the angle
2nd quadrant (90° to 180°) : 180° - angle
3rd quadrant (180° to 270°) : angle - 180°
4th quadrant (270° to 360°) : 360° - angle
<h3>
Example:</h3>
1) 152°
This angle lies in second quadrant.
So reference angle: 180° - 152° = 28°
2) 300°
This angle lies in fourth quadrant.
So reference angle: 360° - 300° = 60°
3) 192°
This angle lies in third quadrant.
So reference angle: 192° - 180° = 12°