Answer:
D. 8, 840, 832,000
Step-by-step explanation:
The computation of the number of license plates possible is shown below:
Here the first position could be taken by any of the five odd numbers
The second position could be taken by any of the 4 odd numbers
The third position could be taken by the eight left numbers
The fourth position could be taken by another seven numbers
Als the first digit could be any of the 26 upper case letters and so on
So,
= 5 × 4 × 8 × 7 × 26 × 25 × 24 × 23 × 22
= 8,840,832,000
Therefore option D is correct
Answer:
20 different total voting combinations.
Step-by-step explanation:
so lets called them A, B, C, D, and E
If John has to vote on his favorite and second favorite that means we will be selecting 2 bands out of the 5 possible to choose from.
To find the TOTAL amount of different combinations we need to pair up bands and find all the combo's.
Here are the results/totals:
AB
AC
AD
AE
BA
BC
BD
BE
CA
CB
CD
CE
DA
DB
DC
DE
EA
EB
EC
ED
If you want to do it simpler without listing you can take the the 5 bands and multiple by 4 since you know each initial band (A, B, C, D, and E) will be paired with another band other than itself.
Answer:
From the given options, option D is the only choice that contains (w-5).
Step-by-step explanation:
Given the expression

Breaking the expression into groups

Factor out 'w' form w²+4w = w(w+4)
Factor out 'w' from -5w-20= -5(w+4)
so

Factor out common term: w+4

Thus, the factors are: (w+4) and (w-5)
Therefore, from the given options, option D is the only choice that contains (w-5).
Answer:
No, she is not correct
Step-by-step explanation:
Given: Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms
To check: whether she is correct or not.
Solution:
Any two-dimensional figure formed using straight lines is known as a polygon. Triangles, quadrilaterals are examples of polygons.
A parallelogram is a quadrilateral in which opposite sides are parallel.
Kite is a polygon made up of four sides with two pairs of equal sides that are adjacent to each other but it is not a parallelogram as its opposite sides are not parallel.
So, she is not correct.