Answer:
b. 61.75
Step-by-step explanation:
Split it into a rectangle and a triangle
1. Rectangle
You can see that the side lengths are 7 and 6.5, so the area is 7 * 6.5 = 45.5
2. Triangle
You know that the base is 6.5 and that the height is 5 (because 12 - 7 = 5) so you can find the area by doing 6.5 * 5 / 2 = 16.25
3. Total
Add the two areas, so 45.5 + 16.25 = 61.75
This is how i solved this:
9+7=1616 divided by 12 = 1.3 (repeater)1.3 (repeater) = 1 3/10Addison should put 1 3/10 pounds of salad in each container.
Answer:
The 90% confidence interval for the population standard deviation waiting time for an oil change is (3.9, 6.3).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the population standard deviation is:
The information provided is:
<em>n</em> = 26
<em>s</em> = 4.8 minutes
Confidence level = 90%
Compute the critical values of Chi-square as follows:
*Use a Chi-square table.
Compute the 90% confidence interval for the population standard deviation waiting time for an oil change as follows:
Thus, the 90% confidence interval for the population standard deviation waiting time for an oil change is (3.9, 6.3).
Answer:
Option B. 8 mi, 9 mi, 2 mi
Step-by-step explanation:
The option A doesn't have a set of numbers which could be the lengths of the sides of a triangle. The numbers 1,9,10 mean that the longest side is exactly the sum of the others. The only possible way is they lie in the same line, no triangle is formed
Option C gives the numbers 1,9,11. It's impossible to have a side of 11 when you have the sum of the others less than 11. The maximum extension of the other sides (forming a line) won't be enough to reach the length of 11
Option D is also infeasible for the same reason as the option A. The three lines must be aligned to be connected in its extremes
Option B is the only one who can provide a set of possible lengths of a triangle since the sum of the shortest sides is greater than the third. If we open wide enough the angle between the 2 mi side and the 8 mi side, we would eventually connect the 9 mi side and form a triangle
Answer:
The area of the sector shown is 4.75 pi
Step-by-step explanation:
First we have to know what fraction of the total circle that part represents
for that we divide 45 by 360
45/360 = 1/8
now we calculate the area of the circle and divide it by 8
a = ( π * 6² ) / 8
a = ( π * 36 ) / 8
a = π * 4.75
a = 4.75 pi
