In 1994, the General Social Survey had a question that asked its participants (that currently smoked) if they had ever tried to

The solution is simply less than 6

Answer:

a) There is a 99.73% chance that a randomly picked individual does not celebrate their birthday on March 14.

b) There is a 96.71% chance that a randomly picked individual does not celebrate their birthday on the 2nd day of any month.

c) There is a 98.08% chance that a randomly picked individual does not celebrate their birthday on the 31st day of a month.

d) There is a 92.33% chance that a randomly picked individual was not born in February.

Step-by-step explanation:

The probability is calculated as the number of successful outcomes divided by the total outcomes.

A standard year comprises 365 days.

(a) Calculating the probability that a randomly selected individual does not have a birthday on March 14:

Excluding March 14 yields 365-1 = 364 days. Thus,

364/365 = 0.9973

So, there is a 99.73% chance that a randomly selected person does not celebrate their birthday on March 14.

(b) Calculating the probability that a randomly selected person does not celebrate their birthday on the 2nd day of a month:

With 12 months, there are 12 occurrences of the 2nd day.

Thus,

(365-12)/365 = 0.9671

Hence, a 96.71% chance that someone does not have a birthday on the 2nd day of any month.

(c) Calculating the probability that a randomly chosen individual does not have a birthday on the 31st day of any month:

Months with 31 days include January, March, May, July, August, October, and December.

This totals 7 instances of the 31st day.

Thus,

(365-7)/365 = 0.9808

In conclusion, there's a 98.08% chance that a randomly selected person does not celebrate their birthday on the 31st day of any month.

(d) Calculating the probability that a randomly selected person was not born in February:

February has 28 days in a non-leap year. Thus,

(365-28)/365 = 0.9233

So, a 92.33% chance that a randomly picked individual was not born in February.

10 billions in the place of the 6

The fee Jack Duffy charges per mile is $0.278, making option B correct.

Detailed explanation:

Given:

Jack Duffy's travel distance = d = 12,568 miles

Fixed costs amount to = $1,485.00

Variable costs amount to = $2,015.75

Let the cost per mile charged by Jack Duffy be = $x

According to the provided information

Total cost = Fixed costs + Variable costs

Thus, Total cost = $1,485.00 + $2,015.75

This equates to Total cost = $3,500.75

Therefore,

The cost Jack Duffy charges per mile =

Hence, x = $0.278 per mile

This leads us to conclude that Jack Duffy’s charging rate is $0.278 per mile, confirming option B.

A) The product of x and y equals 196. Thus, A) x is equal to 196 divided by y.

B) The sum of x and y is 35. By substituting A) into B), we have
B) 196 divided by y plus y equals 35. Multiplying both sides by y yields
B) 196 plus y squared equals 35y. This results in B) y squared minus 35y plus 196 equals 0.
Therefore, the solutions are X1 = 28 and X2 = 7.