One-half of the sum of a number and 12 is less than 27. What is the number? Write as an inequality.
1 answer:
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Answer:
There is no difference in the number of sales between The Florida salespeople and Washington salespeople
Sp^2 = 39
Step-by-step explanation:
Given data :
Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54
Washington: 42, 43, 56, 50, 49, 52, 53, 56
number of sales persons in Florida = 9
number of sales persons in Washington = 8
variance = constant
a)Determine if there is difference between the Florida salespeople and Washington salespeople
we will carry out a two tailed test based on the given data
H0 : u1 = u2
H1 : u1 ≠ u2
x ( mean ) = 46.77, y ( mean ) = 50.13 ,
s1^2 = 39.69, s2^2 = 28.41, n1 = 9 , n2 = 8
therefore :
Sp^2 = = 38.96 ≈ 39
performing test statistic
t = =
= -1.1078
critical value is at t = 0.05 and for a two tailed test it is at 2.13 therefore e accept H0 at 5% . This shows that there is no difference in sales
Answer:
The equation of parabola is given by :
Step-by-step explanation:
Given that vertex and focus of parabola are
Vertex: (4,-3)
Focus:(,-3)
The general equation of parabola is given by.
, When x-componet of focus and Vertex is same
, When y-componet of focus and Vertex is same
where Vertex: (h,k)
and p is distance between vertex and focus
The distance between two points is given by :
L=
For value of p:
p=
p=
p=
p= and p=
Since, Focus is left side of the vertex,
p= is required value
Replacing value in general equation of parabola,
Vertex: (h,k)=(4,-3)
p=
A. Solution set is in the attachment (dark green shading in the middle)
B. Yes, 2(5) + 3(1) ≤ 15; 13 is less than or equal to 15
5 + 1 > 3, 6 is greater than 3
C. (4, 2) means that he buys 4 sandwiches and 2 hot lunches
