Answer:
ITs C
Step-by-step explanation: I said c because it is the number of students in the class and who likes burgers.
-7x+2y=-13
x-2y=11
add them euations
-7x+2y=-13
<u>1x-2y=11 +</u>
-6x+0y=-2
-6x=-2
divide both sides by -6
x=1/3
sub back
x-2y=11
1/3-2y=11
minus 1/3 both sides
-2y=10 and 2/3
divide both sides by -2 (or times both sides by -1/2)
y=-5 and 1/3
x=1/3
y=-5 and 1/3
(1/3,-16/3)
Answer:
Step-by-step explanation:
Given the following :
Single policy holders (n1) = 900
Number making claims (x1) = 135
Married Policy holders (n2) = 400
Number making claims (x2) = 24
α = 0.05
a. Use a level of significance α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.
Null: p1 - p2 = 0
Alternative : p1 - p2 ≠ 0
p = (n1p1 + n2p2) / n1 + n2 ;
p1 = x1/n1 = 135 / 900 = 0.15
p2 = x2/n2 = 24 / 400 = 0.06
p = (900*0.15 + 400*0.06) / (900 + 400)
p = 0.1223076
Test statistic (z):
(p1 - p2) / √p(1-p)(1/n1 + 1/n2)
(0.15 - 0.06) / √0.12231(1-0.12231)(1/900 + 1/400)
= 4.5710979
Decision:
Reject Null if P < α
Obtaining p value from z score using calculator :
P value = 0.0001
0.0001 < 0.05
Hence,
Reject Null
Answer:
Distribute
5x - 20 + 7x + 7
either add like terms or take away
12x -13 or -20 2x + 7
Step-by-step explanation: