x=-11
we know that
Points A,B,C,and D are collinear and positioned in that order
so
AD=AB+BC+CD -----> by addition segment postulate
we have
AB=2x+30
AD=x=32
substitute the given values and solve for x
x+32 = (2x+43)
Group terms that contain the same variable
2x-x=32-43
x=-11
Answer:
3 pants
3 shirts
2 sweaters
just multiply 3x3x2= 18 combinations
I think the answer is C hope this helps.
A. 8^9/2= around 11585.2375; (sqrt8)^9= around 11585.2375. So choice A shows a pair of equivalent expressions.
B. (3sqrt125)^9=1,953,125; 125^9/3=1,953,125. So choice B also shows a pair of equivalent expressions.
C. 12^2/7= around 2.03394; (sqrt12)^7= around 5,985.96759. So choice C does not show a pair of equivalent expressions.
D. 4^1/5=around 1.31951; (sqrt4)^5=32. So choice D also doesn't show a pair of equivalent expressions.
Your answers are A and B.
I hope this helps ;)
Answer:
Step-by-step explanation:
Null hypothesis: u <= 3 minutes
Alternative hypothesis: u > 3minutes
Using a z test formula, z score is
z = (x - u) / (s/√n)
Where x = 3.1, u = 3, s = 0.5, n = 100
z = (3.1 - 3) / (0.5/√100)
z = (0.1) / (0.5/10)
z = 0.1/0.05
z = 2
To calculate for the p value assuming a 0.05 level of significance, the p value is 0.02275 which is less than 0.05. Thus we will reject the null and conclude that there is enough statistics evidence to show that the mean waiting time of all customers is significantly more than 3 minutes.
