Answer:
The correct options are (2, 3 and 6).
Step-by-step explanation:
It is provided that Daniel has a rock collection of 18 rocks.
He wants to organize these 8 rocks into equal groups.
The factors of 18 are:
Factor (18): {1, 2, 3, 6, 9, 18}
A group is a selection of more than 1 items. So, there cannot be 18 groups.
And there cannot be 1 group, since then Daniel would not be organizing the rocks.
So, the possible ways Daniel line up his rock collection are {2, 3, 6 and 9}.
Thus, the correct options are (2, 3 and 6).
Answer:
84%
Step-by-step explanation:
The probability of Thomas bumping into her at school is 80%, so the probability of not bumping into her is 100% - 80% = 20%.
If he doesn't bump into her (20% chance), he will call her, and the probability of asking her in this case is 60%, so the final probability of asking her in this case is:
If he bumps into her (80% chance), the probability of asking her is 90%, so the final probability of asking her in this case is:
To find the probability of Thomas inviting Madeline to the party, we just have to sum the probabilities we found above:
Step-by-step explanation:
Yes, the statement is true "A state becomes good if its people are good". Government is one of the most important body for the good future of any country. The difference between a good and bad country occurs due to its government and governance. Similarly, citizens plays a vital role for the difference between good and bad state. The literacy rate of a state should be high for the sake of becoming good state. A state becomes good if its people are good, as they are representative of the state.
Answer:
Step-by-step explanation:
Part A
In applying the synthetic division, the polynomial would be fully expressed as
2x³ + 0x² + 5x - 6
The coefficients are 2, 0, 5 and - 6
The working becomes
2| 2 0 5 -6
4 8 16
2 4 13 10
The student that correctly used synthetic division to find f(2) is Claudia
Part B
The value of f(2) is
2(2)^3+5(2) - 6
= (2 × 8) + 10 - 6
= 16 + 10 - 6 = 20
Part C
x - 2 is not a factor of 2x³ + 5x - 6 because there is a remainder of 20.
Part D
The methods that can be used to find out if x - 2 is a factor of 2x³ + 5x - 6 are synthetic division, long division, remainder theorem
Answer:
a) 42°F < x < 176°F
b) The inequality graph is attached.
c) No, This is because at 20° F benzene would not be in liquid form but in solid form.
Step-by-step explanation:
According to the Question,
a) For the benzene to remain in liquid form, the temperature of benzene must be less than the boiling point and greater than the boiling point. Let x be the temperature of benzene, For benzene to remain as liquid, its temperature must be between:
42°F < x < 176°F
b) The inequality graph is attached. The graph shows that the temperature of benzene must be between 42°F and 176°F so that it would be a liquid. The Closed circles represent that it is greater than 2.
c) No, This is because at 20° F benzene would not be in liquid form but in solid form. Because the temperature cannot go below 42 before it freezes, she would not have been able to conduct her research .
