Answer:
a = 9
Step-by-step explanation:
expand (y - 3)(y² + 3y + 9)
= y³ + 3y² + 9y - 3y² - 9y - 27
compare the coefficients of like terms with
y³ + 3y² + ay - 3y² - ay - 27
ay = 9y and - ay = - 9y ⇒ a = 9
Answer:

Step-by-step explanation:
Required
Determine the relationship between RTV and STV
From the question, we understand that TV is a bisector of RTS at T;
This implies that, T divides RTS into two equal parts which are;
RTV and STV
Hence;
The relationship between RTV and STV is that, the are equal.
Mathematically;

Answer:
$19.5
Step-by-step explanation:
Total money with Emily in beginning = 4.5 + 15 = $ 19.5
Answer:
Male: Median: 64.5 and the mean is 70.6
Female: median: 83 and mean is: 79.93
Step-by-step explanation:
For median, you place all of the numbers from lowest to highest, and then find the number in the middle.
For Mean, add up all the numbers, then divide by the amount of numbers there.
For example.
30/5= 6
Answer:
Option A. Divide 382 by 1027.
Step-by-step explanation:
A survey was done about the people who preferred running indoors and outdoors. Then a two way table was prepared.
Amir is making a relative frequency table.
As we know relative frequency table is prepared by the dividing number of frequency by the total number of students taken in the sample.
Now he will take the data from the given two way table.
People age 30 years and younger were 382 running outdoors and 105 running indoor.
So people having age 30 and below are 382 + 105 = 487
Similarly people Over 30 years old running outdoor and indoor = 299 + 241 = 541
Now Total number of people taken in the sample = 487 + 541 = 1027
So relative frequency for the people of age 30 and younger will be
382/1027 for outdoor and 105/1027 for indoor.
Therefore answer will be Option A. Divide by 382/1027.