Answer: 4y/(y+3)
Explanation:
{(2y)(4y-12)}/{(y-3)(2y+6)}
= (8y^2 - 24y)/(2y^2 + 6y - 6y - 18)
= (8y^2 - 24y)/(2y^2 - 18)
= {8y(y-3)}/{2(y+3)(y-3)}
= 2 * 4y/{2(y+3)}
= 4y/(y+3)
Answer:
I believe it is 49.425
Step-by-step explanation:
You just add all the numbers then divide it by how many numbers there are.
Answer:
The number of teenagers in the stratified sample of equal proportion is 30 teenagers
Step-by-step explanation:
Whereby tickets are sold to only adults male and female and teenagers, boys and girls, we have the following groups
Group 1: Female adult
Group 2: Male adult
Group 3: Teenage boys
Group 4: Teenage girls
In stratified sampling, the types of people that visit the zoo (which is the target population) are identified and the appropriate proportion of each of the identified types is determined such that the sample is representative of the population
Where equal number of each group are observed to have visited the zoo, then, the appropriate sample size of the teenager is found as follows;
Number of groups identified = 4
Sample size = 30
Appropriate proportion of each group = 1/4
Number of teenage boys in the sample = 1/4×30 = 15
Number of teenage girls in the sample = 1/4×30 = 15
Total number of teenagers in the sample = 15 + 15 = 30 teenagers.
Answer:
Step-by-step explanation:
T is at (1,2)
where x = 1 and y = 2
so if it's reflected over the x axis then it moves down wards. to (1, -2)
Answer:
If the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be : 11.74m
Given:
Denora height=1.35 meters
Length =35.25 meters
Width =31.2 meters
Height of the tree=x
Proportion:
1.35 : 35.25 :: x : 31.2
Now let's determine the height of the tree:
35.25 - 31.2 / 1.35 = 35.25 / x
4.05 / 1.35 = 35.25 / x
Cross multiply
4.05x = 35.25 × 1.35
4.05x = 47.58
Divide both sides
x = 47.58 / 4.05
<u>x = 11.74</u>
In conclusion, if the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be: 11.74m