Answer:
D. 3
Step-by-step explanation:
A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.
Simply stated, any polygon with three (3) lengths of sides is a triangle.
In Geometry, a triangle is considered to be the most important shape.
Generally, there are three (3) main types of triangle based on the length of their sides and these include;
I. Equilateral triangle: it has all of its three (3) sides and interior angles equal.
II. Isosceles triangle: it has two (2) of its sides equal in length and two (2) equal angles.
III. Scalene triangle: it has all of its three (3) sides and interior angles different in length and size respectively.
In Geometry, an acute angle can be defined as any angle that has its size less than ninety (90) degrees.
Hence, we can deduce that the greatest number of acute angles that a triangle can contain is three (3) because the sum of all the interior angles of a triangle is 180 degrees.
A) 144/4 = 36 metres per side
b) 18*3 = 54
54+54+18+18= 144 metres
dimensions would be 54 by 18
The long way to compute the sum is to expand each number completely, then add:
3.61 * 10^5 = 3.61 * 100,000 = 361,000
6.05 * 10^6 = 6.05 * 1,000,000 = 6,050,000
Then
3.61 * 10^5 + 6.05 * 10^6 = 6,411,000 = 6.411 * 10^6
A shorter way would be to expand the larger of the two numbers until the powers of 10 match up, then add:
6.05 * 10^6 = 60.5 * 10^5
Then
3.61 * 10^5 + 60.5 * 10^5 = (3.61 + 60.5) * 10^5 = 64.11 * 10^5 = 6.411 * 10^6
Answer:
A. 25.82
Step-by-step explanation:
(3*Tim)+(3*tom)=214.53
(3*45.69)+(3*tom)=214.53
137.07+(3*tom)=214.53
-137.07+(3*tom)=214.53-137.07
3*tom=77.46
tom/3=77.46/3
tom=25.82
Answer:
And the width for the confidence interval is given by:
And we want to see the effect if we increase the confidence level for a interval. On this case if we increase the confidence level then the critical value for the confidence interval would be higher and then the width of the interval would increase. So then the best answer for this case would be:
B. Increasing the level of confidence widens the interval.
Step-by-step explanation:
Let's assume that we have a parameter of interest who represent for example the true mean for a population. And we can construct a confidence interval in order to estimate this parameter if we know the distribution for the statistic let's say and for this particular example the confidence interval is given by:
Where ME represent the margin of error for the estimation and this margin of error is given by:
And the width for the confidence interval is given by:
And we want to see the effect if we increase the confidence level for a interval. On this case if we increase the confidence level then the critical value for the confidence interval would be higher and then the width of the interval would increase. So then the best answer for this case would be:
B. Increasing the level of confidence widens the interval.