Answer:
6.4
Step-by-step explanation:
The given triangle is a Right Angled Triangle with right angle at E.
So, measure of angle E = 90 degrees
measure of angle D = 62 degrees
measure of side FE = 12
We have to find the measure of side DE. Note that side DE is adjacent to Angle D and side FE is opposite to angle D. So we can use tangent ratio to find the measure of DE.
Therefore, the value of DE, rounded to nearest tenth is 6.4
Answer: The slope of the line perpendicular to y=41 is not defined.
The slope of the line parallel to y=41 is 0.
Step-by-step explanation:
Given equation of line: y=41
When we plot it on the graph parallel to the x axis, and we know that slope of x axis is 0. [by using slope formula]
Therefore, the slope of y=41 must be 0[slope of parallel lines are equal]
Now, any line perpendicular to y=41 must be in the form of x=a, where a is any integer .
We know that x=a is a vertical line and is parallel to y axis, thus its slope must be not defined.[because slope of y axis is not defined]
Let t represent the # of hours required for the west-east flight.
Then (540 mph)(t) = 2700 miles, and t = 5 hours. Flying east-west should take 1 hour less, or 4 hours.
This east-west speed would be 2700 miles / 4 hours = 675 mph (answer)
Answer:
(A) With 99% confidence, the proportion that favours the Green initiative is between 418.895 and 423.105 (no approximation; answers were gotten exactly in 3 decimal places).
(B) If many groups of 593 (greater than the initial sample size of 556) randomly selected Americans were surveyed then a different confidence interval would be used or produced from each group.
About 90% of these confidence intervals will contain the true population proportion of Americans who favour the Green initiative and about 10% will not contain the true population proportion.
Step-by-step explanation:
(A) 99% of 421 = 416.79
421 - 416.79 = 4.21
4.21 ÷ 2 = 2.105
(421-2.105), (421+2.105)
The lower and upper limits are:
[418.895 , 423.105]
(B) A wider confidence interval such as 90% will be better suited in a case of multiple samples like this.
The y-intercept of this graph represents 20min