Answer:
D
Step-by-step explanation:
To find a situation for 60−15x≥7, look for a story where 60 is a constant value that is decreasing by 15 for a number of times and where equal to or at least 7 is an option.
A. x would be weeks and it would decrease by 7x. This is not it.
B. 15 songs packages would have x be the number of packages not the price. This is not it.
C. This doesn't work either because if you want to owe them less than 7 it would have the sign < not >.
D. You have 60 to spend and you decrease it by $15 for each hat you buy till you save $7. This is it.
Answer:
0.006% probability that the final vote count is unanimous.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Random voting:
So 50% of voting yes, 50% no, so 
15 members:
This means that 
What is the probability that the final vote count is unanimous?
Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So
In which
So
0.006% probability that the final vote count is unanimous.
Answer:
(x-3)(x^2-7) = x^3 -3x^2 -7x + 21
just change the sign of the root and put x in front of it, then multiply the factors all together
(x-3)(x-sqr7)(x+sqr7) roots come in conjugate pairs to eliminate irrational coefficients
(x-sqr7)(x+sqr7) = x^2-7. similar to (a-b)(a+b) = a^2-b^2
Step-by-step explanation:
Answer:
3.8
Step-by-step explanation:
Slope formula- m = y2 - y1
x2 - x1
x1, y1
2.1, 3.8
7.6 - 3.8
3.1 - 2.1 = 3.8
x2,y2
3.1, 7.6
Answer:
4
Step-by-step explanation:
