Answer:
4.0486
Step-by-step explanation:
The margin of error is calculated using
Where n=60 is the sample size and is the population standard deviation.
The critical value corresponding to 95% confidence interval is
We substitute the values to obtain;
The answer to you’re question is c
For all probability exercises, the probability is always
(the number of possible 'successful' results)
divided by
(the total possible number of results).
1). Number of diamonds in the deck = 13
Total cards in the deck = 52.
Probability = (13/52) = 1/4 = 25%
2). Probability of the first one being a diamond = 1/4 .
Now there are 51 cards left, and 12 of them are diamonds.
Probability of the second one being a diamond = 12/51
Probability of both events =
(1/4) x (12/51) = 3/51 = about 5.88% (rounded)
3). First one is a diamond: 13/52
Now there are 51 cards left, and 13 of them are clubs.
Second one is a club: 13/51.
Probability of both events = (13/52) x (13/51)
= 169/2652 = about 6.37% (rounded)
4). Same logic, same solution, as #3.
5). 6.37% chance that it happens with the diamond coming up first,
6.37% chance that it happens with the club coming up first.
Probability of either one happening = 12.74% (rounded).
Multiply the First<span> terms
</span>Multiply the Outside<span> terms
</span>Multiply the Inside<span> term
</span>Multiply the Last<span> terms
</span>Simplify
Understand factoring.
Write a space for the answer in FOIL form.<span>
Don't write + or - between the blank terms yet, since we don't know which it will be.
</span>
<span>Fill out the First terms.
</span>
<span>Use factoring to guess at the Last terms.
</span>
<span>Test which possibilities work with Outside and Inside multiplication.
</span>
<span>Use simple factoring to make more complicated problems easier.
</span>
<span>Look for trickier factors.
</span>
<span>Solve problems with a number in front of the x^2.
</span>
<span>Use substitution for higher-degree trinomials.
</span>
Check for prime numbers.
Check to see if the trinomial is a perfect square.
<span>Check whether no solution exists.
</span>
If both binomials have the same variables to the same powers, then it is true. In general, multiplying binomials gives four terms, one corresponding to each letter of the FOIL acronym. So, you only get a trinomial when the O and I terms combine.
This is the domain and range for exponential function