Answer:
0.72 litres
Step-by-step explanation:
Litres of syrup = 0.32 litres
Litres of water = 12 times the amount of syrup = 12 * 0.32 = 3.84 litres
Litres of orange squash = litres of syrup + litres of water
Litres of orange squash = (0.32 + 3.84) = 4.16 litres
Amount of orange squash litres split = 1.28 litres
Amount of orange squash left = (4.16 - 1.28) = 2.88 litres
Splitting the amount of squash left equally into 4 :
2.88 litres / 4 = 0.72 litres
If you look at the quadratic formula:
x=(-b±√(b^2-4ac))/(2a)
We can say that -b=5, b=-5
If I read it right you had ±2√7 which is equal to ±√28, and we know b=-5 so:
±√(25-4ac)=±√28
And since 3=2a, a=1.5 making the above:
±√(25-6c)=±√28
25-6c=28
-6c=3
c=-0.5
So a=1.5, b=-5, and c=-0.5 thus
y=1.5x^2-5x-0.5
We can check this by reapplying the quadratic formula to the equation above
x=(5±√(25-4(1.5)(-0.5))/3
x=(5±√(25+3))/3
x=(5±√28)/3
x=(5±√(4*7))/3
x=(5±2√7)/3
Answer:
(c) A cluster sample
Step-by-step explanation:
A cluster sample occurs when the intended population is divided into non- overlapping sub -groups or clusters and some of these clusters are represented in the sample.
From the question, In a state 15 high schools where randomly selected and the standardized test was administered to only 10th grade student. Here, the high schools are the non-overlapping sub groups that is randomly selected and a reasonable representation of the entire subgroups.
The answer & explanation for this question is given in the attachment below.
Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
