The sailboat has 1 large sail and one small sail. The large sail is 24 feet tall. The base of the sail is 12 feet long. What is
1 answer:
Answer:
The area of the large sail of the sailboat is 144 feet² .
Step-by-step explanation:
Given as :
The measure height of the large sail = 24 feet
The measure of base of the sail = 12 feet
The area of the sail = A feet²
Now, <u>Since The sail of the sailboat is in the form of right angle triangle</u>
So, From The area right angle triangle
Area of right angle Triangle = × height × base
Area = × height of the sail × base of sail
Or, A = × 24 × 12
Or , A =
∴ A = 144 feet²
So, the area of sail = 144 feet²
Hence The area of the large sail of the sailboat is 144 feet² . Answer
You might be interested in
Answer:
Step-by-step explanation:
This problem utilizes the Distributive Property, which states
that a(x + y) = ax + ay.
Hope it helps :) and let me know if you want me to elaborate.
Answer:
We conclude that political science classes require less writing time than history classes at 0.01 level of significance.
Step-by-step explanation:
We are given that the 55 randomly selected political science classes assigned an average of 16.3 pages of essay writing for the course. The standard deviation for these 55 classes was 4.8 pages.
The 54 randomly selected history classes assigned an average of 18.9 pages of essay writing for the course. The standard deviation for these 54 classes was 5 pages.
<em>Let </em><em> = </em><u><em>average writing time required by political science classes.</em></u>
<em /><em> = </em><u><em>average writing time required by history classes.</em></u>
So, Null Hypothesis, :
{means that political science classes require more or equal writing time than history classes}
Alternate Hypothesis, :
{means that political science classes require less writing time than history classes}
The test statistics that would be used here <u>Two-sample t test statistics</u> as we don't know about the population standard deviation;
T.S. = ~
where, = sample average pages of essay writing for political science classes = 16.3 pages
= sample average pages of essay writing for history classes = 18.9 pages
= sample standard deviation for political science classes = 4.8 pages
= sample standard deviation for history classes = 5 pages
= sample of political science classes = 55
= sample of history classes = 54
Also, =
= 4.90
So, <u><em>test statistics</em></u> = ~
= -2.77
The value of t test statistics is -2.77.
<u>Now, at 0.01 significance level the t table gives critical value of -2.365 at 107 degree of freedom for left-tailed test.</u>
<em>Since our test statistics is less than the critical value of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>
<em />
Therefore, we conclude that political science classes require less writing time than history classes.