Answer:
53°
Step-by-step explanation:
The angle that measures 143 is vertical to the right angle and the ? angle.
Vertical angles have the same measure. <? + <90 = <143
So do 143 - 90 = 53
So the ? angle = 53
Hope this helps ya!!
Answer:
B. An increase in i, the interest rate, will create an increase in P, the monthly payment.
Step-by-step explanation:
We have the formula for the monthly payment as,
,
where P = monthly payment, i = rate of interest, PV = present value and n = time period.
Now, as i increase we get that (1+i) increases and so 
increases.
This gives us that, 
decreases and so 
decreases
Therefore, 
increases.
So, we get that as i increases , the value of P will increase.
Hence, option B is correct.
Answer:
Step-by-step explanation:
The standard form of a quadratic is
where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:
and simplified:
That is the parent graph shifted 10 units to the right.
Answer:
a)
Mean = sum of all numbers in dataset / total number in dataset
Mean = 8130/15 = 542
Median:
The median is also the number that is halfway into the set.
For median, we need to sort the data and then find the middle number which in our case is 546. Below is the sorted data
486 516 523 523 529 534 538 546 548 551 552 558 566 574 586
Standard Deviation (SD). Here X represents dataset and N= count of numbers in data
As per the SD formula, which is Sqrt ( sum (X_i - Meanx(X))/(N-1))
SD= 25.082
2) Formula for coefficient of skewness using Pearson's method (using median) is,
SK = 3* ( Mean (X) - Median(X))/(Standard Deviation) = 3*(542-546)/25.082 = -0.325
3) coefficient of skewness using the software method is also same which is -0.325
