Answer:
35 ;
32 + v
51.2
Step-by-step explanation:
If each observations in a particular set is increased or decreased by a uniform or fixed number, the mean of the resulting output will also increase by the same amount
Hence,
For 15 observations whose mean is 32
If each observation is increased by 3, then the resulting mean will also increase by 3 ; hence, new mean = 32 + 3 = 35
If each observation is decreased by v ; the resulting mean would also decrease by v ;
32 - v
If each observation is increased by 60% ; the resulting mean will be ;
(1 + 60%) * initial mean
(1 + 0.6) * 32
1.6 * 32 = 51.2
Answer:
a>4 or a < 8
Step-by-step explanation:
We can start with the inequality on the left
-a + 2(4+3a) > 28
expand using the distributive property
-a + 8 + 6a > 28
5a + 8 > 28
subtract 8 from both sides to isolate the variable and its coefficient
5a > 20
divide both sides by 5 to isolate a
a > 4
moving on to the inequality on the right
2a - (3a+4) > -12
treat the minus sign as a -1
2a + (-1)(3a+4) > - 12
expand
2a - 3a - 4 > - 12
-a - 4 > -12
add 4 to both sides to isolate a and its coefficient
-a > - 8
multiply both sides by -1 but change the sign because we are multiplying by a negative number
a < 8
Answer:
<u>Option 3: 0 ≤ x ≤ ∞ </u>
Step-by-step explanation:
The domain of a function is the set of all possible x values for the function.
The given function is y = √x
The domain for the square root function should be : x ≥ 0
So, the domain = [0,∞)
Or, it can be written as inequality
So, 0 ≤ x ≤ ∞
So, the answer is option 3.
Answer:
y= -5
Step-by-step explanation:
