Answer:
a) The probability that 71 of 150 will prefer boy child is 71/150 or 0.47
b) The result contradicts the poll actual percentage is 47.33% which is 3.33% more than the poll predicted
Step-by-step explanation:
If 71 out of 150 prefer boy child
The probability that the 71 will prefer boy child is
= 71/150
The actual percentage is
(71/150)*100%
= 47.33%
This contradicts the poll as this is more than the poll predicted. That means Less than 71 of 150 actually preferred boy child.
Answer:
The explicit formula for the given expression is
.
Step-by-step explanation:
The given sequence is
-7, -4, -1, 2, 5
The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.
The first term of the given AP is -7 and the common difference is

The explicit formula for an AP is

Where, a is first term, d is common difference and n is number of terms.
Substitute a=-7 and d=3 in the above equation.



Therefore the explicit formula for the given expression is
.
5a-9
I think this is the answer I am a little unsure of what the question is.
Hello! For these kinds of problems, the formula for finding the principal is I / rt. That means, divide the simple interest by the rate and time (rate should be in decimal form). In order to find simple interest, just do prt, which means multiply the principal (initial amount) by the rate (simple interest rate, in decimal form) by the amount of time (could be in months or years). With that being said, if you solve it correctly, here are your answers:
Principal: $14,181
Interest rate: 10%
Time: 4 years
Simple Interest: $5,672.40
Principal: $83,079
Interest rate: 9%
Time: 2 years
Simple Interest: $14,954.22
Principal: $659,379.96
Interest rate: 11.7%
Time: 28 months
Simple Interest: $179,753.57
Principal: $18,936
Interest Rate: 2.41%
Time: 3 Months
Simple Interest: $114.09
Note: If the time is in months, be sure to convert it into a decimal and multiply. If a decimal repeats, just convert it to the nearest hundredth.
Quadrant II.
Hope this helps.