Make an equation
6p + p = 28
Combine like terms
7p = 28
Divide
p = 4
Solution: p = 4
Answer:
68% of an investment earning a return between 6 percent and 24 percent.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 15
Standard deviation = 9
How likely is it to earn a return between 6 percent and 24 percent?
6 = 15 - 1*9
6 is one standard deviation below the mean
24 = 15 + 1*9
24 is one standard deviation above the mean
By the empirical rule, there is a 68% of an investment earning a return between 6 percent and 24 percent.
Answer: the cost of plan A would be lesser than that of plan B for minutes lesser than 470
Step-by-step explanation:
Let m represent the number of minutes of monthly phone used.
In plan A the customer pays a monthly fee of $25 and then an additional 6 cents per minute of use. It means that the total cost of using m minutes in a month is
0.06m + 25
In plan B the customer pays a monthly fee of $29.70 and then an additional 5 cents per minute of use. It means that the total cost of using m minutes in a month is
0.05m + 29.7
The inequality representing the number of minutes of monthly phone use for which Plan A will cost less than Plan B is
0.06m + 25 < 0.05m + 29.7
0.06m - 0.05m < 29.7 - 25
0.01m < 4.7
m < 4.7/0.01
m < 470
Answer:
And we can use the following formula:
And replacing the info we got:
Step-by-step explanation:
We define two events for this case A and B. And we know the probability for each individual event given by the problem:
And we want to find the probability that A and B both occurs if A and B are independent events, who menas the following conditions:
And for this special case we want to find this probability:
And we can use the following formula:
And replacing the info we got:
Answer:
Step-by-step explanation:
4.6 pounds of pecans 1 pound of pecans
_________________ = ______________
50. 89 dollars x dollars
Set up an equation like this.
Cross multiply
4.6(x)=50.89(1)
divide both sides by 4.6
x=11.06 (about)
So I pound of pecans costs about 11.06 dollars
