Answer:
8008
Step-by-step explanation:
This is the selection of 6 elements out of 16 elements. Applying the combination formula, the total number of selections is nCr with n =16 and r =6.
16C6 = 8008
When the squared terms are of different signs, the equation generally describes a hyperbola. This one has its vertices at x=±30, so the parameters of interest are
domain: (-∞, -30] ∪ [30, ∞)
range: (-∞, ∞)
2200 + 0.06s > = 2900.....with s representing her total sales
0.06s > = 2900 - 2200
0.06s > = 700
s > = 700 / 0.06
s > = 11666.67 <== her sales has to be at least this
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The total number of students is 
The number of student that took exam in class is n = 24
The number that took make up exam is k = 1
The average score of the first 24 students is 
The standard deviation is 
The average score of the student who took make up test is 
Generally the new average is mathematically represented as



Answer:
The values of
and
so that the two linear equations have infinite solutions are
and
, respectively.
Step-by-step explanation:
Two linear equations with two variables have infinite solution if and only if they are<em> linearly dependent</em>. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:
(1)
(2)
The following condition must be observed:
(3)
After some quick operations, we find the following information:
,
, 
The values of
and
so that the two linear equations have infinite solutions are
and
, respectively.