Y=(3x+4)(-2x-3)=-6x^2-4x-9x-12=-6x^2-13x-12.
It is a quadratic function because it has x in power 2 (x^2)
Answer:
Option A (89).
Step-by-step explanation:
Percentile is a statistic in which the an element at a certain percentage position is determined. To calculate the percentiles accurately, it is important that the data is present in the ascending order. Percentile is an important concept in data analysis. Interestingly, 50th percentile is the median of the data. The difference between the 75th and the 25th percentile is the interquartile range. To find the 85th percentile of the data, calculate 85% of 40, which is the number of elements in the data set. 40 * 85/100 = 34. The number on the 34th position is the 85th percentile of the data. It can be observed that 89 is on the 34th position. Therefore, Option A is the answer!!!
Answer:
6
Step-by-step explanation:
5% of 120 were late
=
× 120
= 0.05 × 120
= 6
Answer:
1) B = 66.5° c = 10.9
Step-by-step explanation:
I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.
For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:
cos23.5 = ¹⁰⁄c
c = ¹⁰⁄cos₂₃.₅
c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)
For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.
So b = 180 - (90 + 23.5) = 180 - 113.5
b = 66.5
- It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)
I hope this helps you with the other 3 questions.