A tenth is 0.1
so 0.2/0.1 = 2
there are 2 tenths in 20.2
Answer:
g)6.88
Step-by-step explanation:
We’ll begin by finding the mean of the data set.
32+43+38+28+51=192 then 192/5=38.4
Then find the absolute value of the difference between each data value and the mean.
l32-38.4l=6.4
l43-38.4l=4.6
l38-38.4l=0.4
l28-38.4l=10.4
l51-38.4l=12.6
Lastly, find the sum of the absolute values and divide by the number of the values
6.4+4.6+0.4+10.4+12.6=34.4
34.4/5=6.88
Answer:
A recursive formula is a formula that defines each term of a sequence using preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence.
Step-by-step explanation:
Was that the definition you were asking or the question?
Answer:
<h3>A. 1 hour</h3>
Step-by-step explanation:
If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;
On equating:
75 + 50x, = 75x + 50
collect like terms'
50x-75x = 50-75
-25x = -25
divide both sides by -25
-25x/-25 = -25/-25
x = 1
hence the number of hours each company will have to clean to cost the same amount is 1 hour
Answer:
a) Mean is -23.47
b) Variance is 206.59
c) standard deviation is 14.37
Step-by-step explanation:
Given that;
x −41 −27 −8 −3
P(X = x) 0.29 0.35 0.21 0.15
X.P -11.89 -9.45 -1.68 -0.45
a) mean
Mean = ∑X.P = -11.89 + -9.45 + -1.68 + -0.45
Mean = -23.47
b) the variance
E(x²) = ∑x²P(X=x)
= (−41²×0.29) + (−27²×0.35) + (−8²×0.21) + (−3²×0.15)
= 487.49 + 255.15 + 13.44 + 1.35
= 757.43
So
Var(X) = E(x²) - [∑X.P]²
Var(X) = 757.43 - [-23.47]²
= 757.43 - 550.8409
= 206.5891 ≈ 206.59
Therefore Variance is 206.59
c) standard deviation
standard deviation SD(X) = √Var(X)
SD(X) = √206.5891
= 14.3732 ≈ 14.37
Therefore standard deviation is 14.37
