A. 5 digit code with digits from 0-9 with no repetition.
Choices for 1st digit=10, and choices for successive digits are 9,8,7,6.
Probability of guessing it correctly on first try is
1/(10*9*8*7*6) = 1/30240
B. If zero is not in the combinations, then the domain of digits is 1-9, or 9 choices. Digits can repeat means every digit in the code has 9 choices.
Number of arrangements = 9^5 = 59049
Probability of guessing at first try = 1/59049
Answer:
Option B) 18 is the correct answer.
Step-by-step explanation:
Let n(A) be the shoppers who purchased at an online store
Let n(B) be the shoppers who purchased at a locally-owned store
Let n(C) be the shoppers who purchased at a big-box store
n(A ∩ B) is the shoppers who purchased at an online store and at a locally-owned store
n(B ∩ C) be the shoppers who purchased at a locally-owned store and at a big-box store
n(C ∩ A) is the shoppers who purchased at an online store and at a locally-owned store and at an online store
From the Venn diagram,
n(A) = 109
n(B) = 34
n(C) = 107
n() = 38
n(B ∩ C) = 17
n(C ∩ A) = 57
On Comparing the Venn Diagrams, we could find that shoppers made a purchase at an online store, a locally-owned store, and a big-box store [n( A ∩ B∩ C)] = 18
Answer:
d = -20
Step-by-step explanation:
Simply subtract the 1st 2 numbers together:
d = 5 - (-15) = -20
9514 1404 393
Answer:
B They are similar, but not congruent.
Step-by-step explanation:
Reflection, rotation, and translation are "rigid" transformations. They result in congruent figures.
Dilation is not a rigid transformation. For any dilation scale factor other than 1, the figures will be different sizes, so will not be congruent. They will be similar. (Angles will be congruent, and lines/sides will be parallel.)
The combination of dilation (by 0.5) and reflection results in similar, but not congruent, figures.
