Answer:
4 (x + 7)
Step-by-step explanation:
We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long
the answer is
Remove unnecessary parentheses.<span><span>5+2x+16x−56</span><span>5+2x+16x-56</span></span>
Subtract <span>5656</span> from <span>55</span> to get <span><span>−51</span><span>-51</span></span>.<span><span>2x+16x−51</span><span>2x+16x-51</span></span>
Add <span><span>2x</span><span>2x</span></span> and <span><span>16x</span><span>16x</span></span> to get <span><span>18x</span><span>18x</span></span>.<span>18x−<span>51</span></span>
Answer:
And the z score for 0.4 is
And then the probability desired would be:
Step-by-step explanation:
The normal approximation for this case is satisfied since the value for p is near to 0.5 and the sample size is large enough, and we have:
For this case we can assume that the population proportion have the following distribution
Where:
And we want to find this probability:
And we can use the z score formula given by:
And the z score for 0.4 is
And then the probability desired would be: