Answer:
Relative frequency is 7.41% or 0.0741
Step-by-step explanation:
Given
The Attached Table
Required
Calculate the relative frequency of the class with lower limit 27
Relative Frequency is calculated by dividing individual frequency by the total frequency
Mathematically,

The total frequency of the given data is 6+8+4+2+5+2

The class with lower limit 27 has a frequency of 2;
Hence;
becomes


(Approximated)
You may also leave your answer in percentage form


Hence, the relative frequency is 7.41% or 0.0741
Answer:
It depends.
Step-by-step explanation:
For 6 years:

On average, you would have to be profiting:
per year
For 4 years:

On average, you would have to be profiting:
per year.
It would be better to have the longer term option - although you will be paying off more in total, you would be paying off a smaller portion of your earnings.
However, you may want to pay off the loan faster as you would no longer have to worry about it, and it would be cheaper to pay off over the shorter period.
Answer:
x + 9
Step-by-step explanation:
Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 5 -36
↓ 4 36
----------------
1 9 0 → x + 9
You start by placing the c in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em><em>,</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have NO REMAINDER. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, and the 9 follows right behind it, giving you the other factor of x + 9.
If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.
Answer:
Options A and D are correct choices.
Step-by-step explanation:
We have been given an inequality
and we are asked to find the correct options from our given choices.
Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.
(A)


We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.
(B) 


This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.
(C)
Dividing inequality by a negative number swaps inequality sign.


This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.
(D)
Dividing inequality by a negative number swaps inequality sign.


We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.
The actual height of the heart is 3.5 inches
14 * .25 = 3.5 inches
I hope this helps :)