Answer:
11/18
Step-by-step explanation:
The desired probability is the sum of ...
... (probability of choosing a coin) × (p(heads) on that coin)
Since the coins are chosen at random, we assume the probability of choosing a given coin is 1/3. Then ...
... p(heads) = (1/3)·(1/2) + (1/3)·1 + (1/3)·(1/3) = 1/6 + 1/3 + 1/9 = (3 +6 + 2)/18
... p(heads) = 11/18
5ft (i’m just typing because i need more characters)
Answer:8-oz jar
First, we have to find out what is the unit rate of the 2-oz jar. $1.50÷2 is $.75.
Second, we have to find the unit rate of the 4-oz jar. $2.92÷4=$73.
Third, we have to find the unit rate of the 8-oz jar. $5.68=$.71.
Fourth, we have to find the unit rate of the 16-oz jar. The division for this one may be tricky. From dividing $11.62 by 16, is stopped at the 3rd number I got from dividing. I got $.726. This is not a value of cents and the value can't go in the thousandths place. So, I rounded .726. I got $.73. So $11.62÷16=$.73.
Lastly, you have to compare the amounts.
The lowest amount or better buy, is $.71 or 8-oz jar.
Answer:
x = -2
Step-by-step explanation:
2x + 1 + 3 = 0
2x + 4 = 0
x = -2
Answer:
their current cash flow is negative since their expenses are higher than their income:
- monthly net income = $56,000 / 12 = $4,667
- monthly expenses = $1,500 + $3,500 = $5,000
- monthly cash flow = ($333)
they have 3 options:
- Option 1 (which I personally dislike) is that Neil contributes $4,000 less per year to his retirement account in order to balance their net income and expenses. The problem is that once he retires, his income will be much lower.
- Option 2 is that they lower their expenses a little bit, only enough to balance their cash flows.
- Option 3 is that Nancy gets a part time job, maybe a couple of hours per day which will allow her to earn money that can be used to cover some expenses.
Personally I believe that option 2 is the best, but if they definitely cannot lower their monthly expenses, then option 3 would probably fit them.