Answer:
Initial costs 750 and loses .28 of value each year, so still worth 1-.28=.72 of value at start of next year. 750*(.72)^n is the value after n years since for n=0, new, it is 750*.72^0=750*1=750, and after 1 year it is worth 750*.72^1=750*.72 means it lost 28% value after one year. If you with to express it as an exponential exp(..) you need to convert the .72^n into exp(log(.72)*n)=exp(-.3285*n) so you get
750*exp(-.3285*n) as the value after n years.
Let's first have a look at the admission fee, which is $6,- per person.
This makes a total of $12,-
(Since 6 x 2 = 12).
Next up, the ride at the carnival. This costs c dollars.
This makes a total of 14c
(Since they have made a total of 14 rides (7 each), and we multiply it by 'c')
Finally the game boots, which costs g dollars a game.
Denise and Stacey played a total of 5 games, hence the total cost of the boots will be 5g.
The total cost will therefore be: 14c + 5g + 12
This makes the fourth answer (in your question) the correct answer.
Answer:
The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).
Step-by-step explanation:
In a random sample of 300 boards the number of boards that fall outside the specification is 12.
Compute the sample proportion of boards that fall outside the specification in this sample as follows:
The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:
The critical value of <em>z</em> for 95% confidence level is,
*Use a <em>z</em>-table.
Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:
Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).
The <u>correct answer</u> is:
The check has not been cashed yet.
Explanation:
When you receive your bank statements, all of the transactions that have been processed are listed. This includes deposits, debits and checks.
All transactions are usually listed in order of the date of transaction. Additionally, the checks are usually listed at the bottom of the statement.
If there is a gap between check numbers that you have written, it means that the missing checks have not been processed. This means that they have not been cashed or deposited.
a) Here, sum of two non-adjacent angles: 52 + 25 = 77
Now, ∠3 = 180 - 77 [ sum of all angles in a triangle is 180 ]
so, ∠3 = 103
Now, ∠3 + ∠4 = 180 [ Supplementary angles ]
So, ∠4 = 180 - ∠3
∠4 = 180 - 103 = 77
∠4 = 77 [ which is sum of two non-adjacent angles ]
....Hence proved.
b) m∠4 = 77
[ Solved in previous section ]
Hope this helps!
