Answer:
√2(√3 - 1)/4
Step-by-step explanation:
To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).
Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,
Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°
Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.
Substituting these values into the above equation, we have
Cos75° = Cos(45° + 30°)
= Cos45°Cos30° - Sin45°Sin30°
= √2/2 × √3/2 - √2/2 × 1/2
= √6/4 -√2/4
= √2(√3 - 1)/4
Answer:
To solve the equation y = -5/2x - 7, we can first multiply both sides of the equation by 2x + 7, which is the denominator of the fraction on the right-hand side. This gives us the equation 2xy + 7y = -5, which we can rearrange to isolate the variable y on one side of the equation. Dividing both sides of the equation by 2x + 7, we get y = -5 / (2x + 7). This is the solution to the original equation.
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
Options are
A. Their confidence interval would be less likely to capture the sample mean.
B. The probability of selecting a sample which doesn't capture the true value of μ would be 10% rather than 5% if they decide to calculate a 90% confidence interval rather than a 95% confidence interval from the sample they will select.
C. They would increase the margin of error of their confidence interval if they calculated a 90% rather than a 95% confidence interval.
D. They would decrease the margin of error of their confidence interval if they calculated a 90% rather than a 95% confidence interval.
A. Confidence interval is pivoted around mean. So this is an incorrect option.
B. 90% sample values around mean will be included in case of 90% confidence interval and 95% sample values around mean wil be included in case of 95% confidence interval. So this option is correct
C. Margin of error increases with increase in confidence interval as likelihood of a sample value deviating from mean increases. So this is incorrect.
D. same explanation as above
The height of the plane when it gets to the tower would be 600 yards, which is greater than the height of the tower. Hence, <em>"the plane clears the tower with about 6 yards to spare." </em>
<u>Given</u><u> </u><u>the</u><u> </u><u>Parameters</u><u> </u><u>:</u>
- <em>Initial distance traveled = 1500</em>
- <em>Yards to control tower = 600</em>
- <em>Height of control tower = 198 feets = (198×3) = 594 yards </em>
If the rate of ascent of the airplane is proportional to the distance traveled, that is (1 yard length = 1 yard height gained).
Then after traveling 600 yards to the position of the control tower, then the height of the plane would be 600 yards
<u>Difference in height</u> :
- <em>Height of plane - Height of tower</em>
(600 yards - 594 yards) = 6 yards
Therefore, the most appropriate Statement is that, "<em>the</em><em> </em><em>plane</em><em> </em><em>clears</em><em> </em><em>the</em><em> </em><em>tower</em><em> </em><em>with</em><em> </em><em>about</em><em> </em><em>6</em><em> </em><em>yards</em><em> </em><em>to</em><em> </em><em>spare</em><em>.</em><em>"</em><em> </em>
Learn more : brainly.com/question/25311632