Answer:
7 1/2
Step-by-step explanation:
2 1/2 ÷ 1/3
Change the mixed number to an improper fraction
2 1/2 = (2*2+1)/2 = 5/2
5/2 ÷ 1/3
Copy dot flip
5/2 *3/1 = 15/2
Changing back to a mixed number
2 goes into 15 7 times with 1 left over
7 1/2
Answer:
7y^2 - y^2z - 10yz-5
C. 7 y squared minus y squared z minus 10 y z minus 5
Step-by-step explanation:
A. y squared minus y squared z minus 10 y z minus 5
B. y squared minus y squared z minus 5 y z minus 5
C. 7 y squared minus y squared z minus 10 y z minus 5
D. 7 y squared minus y squared z minus 2 y z minus 5
Given:
3y^2 - 6yz - 7 + 4y^2 - 4yz + 2 - y^2z
Collect like terms in the expression
3y^2 + 4y^2 - 6yz - 4yz - y^2z - 7 + 2
Simplify
7y^2 - 10yz - y^2z - 5
Rewritten as
7y^2 - y^2z - 10yz-5
Option C. 7 y squared minus y squared z minus 10 y z minus 5
Is the answer
Answer:
(-16.494 ; -3.506)
Step-by-step explanation:
student Prob A Prob B difference, d (A-B)
1 20 35____ - 15
2 30 40 ___ - 10
3 15 20 ___ - 5
4 40 50 __ - 10
Difference, d = -15, -10, -5, -10
Xd = Σd/ n = - 40 / 4 = - 10
Standard deviation of d ; Sd = 4.082
The confidence interval for the difference is given as :
Xd ± Tcritical*(Sd/√n)
Tcritical at 95%; df = n - 1 ; 4 - 1 = 3
Tcritical(0.05, 3)). = 3.182
C.I = -10 ± 3.182(4.082/√4)
C.I = -10 ± 6.494462
C. I = (-16.494 ; -3.506)
3 pairs since a hexagon has 6 sides
9514 1404 393
Answer:
x = (10√3)/3 ≈ 5.7735 m
Step-by-step explanation:
The 30°-60°-90° right triangle is one of the "special" right triangles, so you know its side ratios are ...
BC : AB : AC = 1 : √3 : 2
Then ...
x = BC = AB/√3 = (10 m)/√3 = (10√3)/3 m ≈ 5.7735 m
