There are 10 values in the data set. Conveniently, they are sorted for you. The median (central line in the box) will be the average of the middle two numbers:
.. (20 +22)/2 = 21 . . . . . . . . matches the 2nd and 4th selections
The first quartile (the left end of the box) will be the middle number of the first group of 5, so is 9. This matches the 4th selection only.
The 4th selection is appropriate.
To evaluate the series we proceed as follows:
2. -5,-15,-25,-35,-45
The common difference is (-15--5)=-10
thus the series is an arithmetic sequence hence the explicit formula will be:
an=a+(n-1)d
thus the formula for the series is:
an=-5+(n-1)(-10)
an=-10n+5
4. 0.5, 0.25,0,...,-0.75
The common difference =0.25-0.5=-0.25
The sequence is an arithmetic sequence:
the explicit formula will be:
an=0.5-0.25(n-1)
an=-0.25n+0.75
thus
n=4
a4=-0.25*4+0.75=-0.25
when n=5
a5=-0.25*5+0.75=-0.5
when n=6
a6=-0.25*6+0.75=-0.75
the missing values are -0.25 and -0.5
6] 4.5,5.6,6.7, ....,11.1
common difference=5.6-4.5=1.1
the sequence is an arithmetic sequence
The explicit formula is:
an=4.5+1.1(n-1)
an=1.1n+3.4
when n=4
an=1.1*4+3.4
a4=7.8
when n=5
a5=1.1*5+3.4
a5=8.9
a6=1.1*6+3.4
a6=10
the missing values are: 7.8, 8.9, 10
Answer:
the missing blank for forks is 0 and the missing blank for spoons is 20
Step-by-step explanation:
A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations".
Answer:
Here is your answer.
Step-by-step explanation:
Sum: -10
Expression:
X = 2
m = -5
(multiplying X and M)
XM = -10 (X times M = -10) (-10 = negative 10)
