<span>Randomly generate an integer from 1 to 7 two times, and the probability is 1/7 ^2
This is the </span><span>statement that best describes the use of a simulation to predict the probability that two randomly chosen people will both have their birthdays on a Monday.
There are 7 days in a week, so there are 7 choices but only 1 Monday. So, 1/7 is the probability that a person's birthday falls on a Monday.
1st person asked will have 1/7 probability.
2nd person asked will also have 1/7 probability
So, (1/7)</span>² is the probability that both persons will have their birthdays on a Monday.
First, rearrange the equation so that only zero will be on the right side:
x^2 + 14x +24 = 0
Let the coefficients be:
a = 1
b = 14
c = 24
To complete the square, add (b/2)^2 to both sides of the equation:
(b/2)^2 = 49
x^2 + 14x + 49 + 24 = 49
x^2 + 14x + 49 = 25
(x+7)^2 = 25
Therefore, the solution set of the equation is {-12, -2}
Answer:
J Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?
Step-by-step explanation:
You're looking for a situation in which the number 17.35 needs to be multiplied by an unknown quantity.
Scenarios F and G involve addition of 17.35 to something.
Scenario H would correspond to the inequality ...
17.65x < 624.60
The sign of the given inequality is >, so scenario H is not the one.
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In scenario J, Darren's total earnings for x hours will be 17.35x, and we want to find x such that this total is greater than 624.60. This matches the given inequality:
17.35x > 624.60 . . . . . . answer choice J
Answer:
Option A. $1713.98
Step-by-step explanation:
You have to calculate your parents' monthly fixed expenses by the given expenses list.
Rent = $998.50
Groceries ( bi-weekly ) = $195.40 Monthly groceries = (195.40×2)
Charge card = $258.90
Cell phone = $65.78
Name brand Khakis for work (store brand optional ) = $34.95
Total expenses are 998.50 + (195.40×2) + 258.90 + 65.78
= $1713.98
Option A. $1713.98
