Answer:
critical value is 4.41
Step-by-step explanation:
Given data
n = 10
α = .05
to find out
the critical value
solution
first we calculate degree of freedom i.e
degree of freedom = n -1
degree of freedom = 10 - 1
degree of freedom = 9
and
degree of freedom 2 =( n -1 ) 2
degree of freedom 2 =( 10 -1 ) 2
degree of freedom 2 = 18
so for degree of freedom 9 and degree of freedom 2 is 18 and α = .05
critical value is 4.41
Answer:
25 points
Step-by-step explanation:
2/5 of 2125 =2 ×2125 :5 =4250 :5 =850 points Liam
2125 +850 =2975 points (Liam and Lianna)
3000 - 2975 =25 points they need
Answer:
Step-by-step explanation:
Since, by the SAS formula of finding the area of triangle,
The area of triangle, 
Where,
and
are adjacent sides and
is the included angle of these sides
Here,
And, 
Thus, the area of the triangle ABC,



Therefore, Third Option is correct.
Answer:the length of the rectangular closet is 2 feet
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = Length × width
Jackson's rectangular bedroom has an area of 90 square feet. The area of his bedroom is 9 times that of his rectangular closet. This means that the area of his rectangular closet would be
90/ 9 = 10 square feet
If the closet is 2 feet wide, then the length would be
Area/ width = 10/2 =5 feet
Answer:
19.7 m
Step-by-step explanation:
Draw a circle to represent the ferris wheel with a 10.2 m radius. Draw a horizontal line through the circle center horizontal to the ground (at 13.1 m). Now draw a line from the center of the circle (ferris wheel) upward at 140 degrees until you reach the edge of the circle. Draw a line down from that point to the horizontal line at This is your right triangle to solve.
Hypotenuse is 10.2 m (radius of circle)
The angle of the triangle the supplementary angle of 140 degrees. 180-140=40 degrees
sin 40 degrees=rise /radius=rise/10.2
sin 40=0.6428=rise/10.2
rise=10.2(0.6428)
rise=6.6 m
13.1+6.6=19.7 m