Answer:
1) m = negative StartFraction 10 over 4 EndFraction
2) m = negative five-halves
3) m = 
Step-by-step explanation:
<u>The given equation is:</u>
=> 
Subtracting 3/4 to both sides
=> m = 
=> m = 
=> m = 
Answer:
h=7.65
Step-by-step explanation:
H is directly proportional to the square root of p;
Let k be the constant of proportionality;
Means h=k√p
This means for corresponding points of h and p such that (h1,p1) and (h2,p2) we have;
h1/√p1=h2/√p2
Let h= 5.4 when p = 1.44 and h when p =2.89 be respectively (h1,p1) and (h2,p2)
So that
5.4/√1.44=h/√2.89
5.4/√1.44 ×√2.89 = h
7.65= h
h=7.65
Answer:
(B) 18.
Step-by-step explanation:
We are asked to find the perimeter of a quadrilateral with vertices at (-1, 4), (7,4), (7,5), and (-1. 5).
First of all, we will draw vertices of quadrilateral on coordinate plane and connect the vertices as shown in the attached photo.
We can see that our quadrilateral is a parallelogram, whose parallel sides are equal.



Therefore, the perimeter of the given quadrilateral is 18 units.
Answer:
2000 players will complete the game with a perfect score.
Step-by-step explanation:
The testing phase tells us that
is the probability that a person will finish with a perfect score.
This means 1 out of 500 people will be able to finish with perfect score.
Now,
the game is given to 1,000,000 (1 million) people and how much do we expect to finish with perfect score?? Simple! It would be
the of 1 million!
We do the calculation shown below:

So, 2000 players will complete the game with a perfect score.