Answer:
x= 4*120
Step-by-step explanation:
The 5th place person jumped for 120 seconds
The 1st place jumped 4 times as long
So 120 times 4 = 480 seconds or 8 minutes
Answer:
Step-by-step explanation:
Given that Student scores on exams given by a certain instruc-tor have mean 74 and standard deviation 14.
Group I X Group II Y
Sample mean 74 74
n 25 64
Std error (14/sqrtn) 2.8 1.75
a) P(X>80) =
b) P(Y>80) =
c) X-Y is Normal with mean = 0 and std deviation =
P(X-Y>2.2) =
d)
Answer:
- <u>The zero is x = 5, and it represents that the diver will enter the pool's surface 5 feet in front of the diving board.</u>
Explanation:
The function is f(x) = - x² - 5x + 50.
Where:
- f(x) is the vertical distance of a diver from a pool's surface, and
- x is the horizontal distance of a diver from the diving board.
A zero of f(x) represents a point where the diver is at the surface of the pool. There might be two possible zeros.
Solve the equation to determine the zeros:
- Multiply both sides by - 1: x² + 5x - 50
- Factor: (x + 10) (x - 5) = 0
- Use zero product property: x + 10 = 0 or x - 5 = 0
- From x + 10 = 0 you get x = - 10
- From x - 5 = 0 you get x = 5.
- The negative zero is not valid as it would be a point behind the diving board, so the meaningful zero is when x = 5, meaning that the diver will touch the surface of the pool at 5 feet in front of the diving board.
Answer:
The amount of interest paid is $22,500
Step-by-step explanation:
Firstly, we need the number of $1 in $450,000
That would simply be $450,000/$1 = 450,000
5 cents is same as 5/100 = $0.05
so we have to multiply 450,000 by 0.05
we have this as;
450,000 * $0.05 = $22,500
1. Line l; point P not on l.( Take a line I and mark point P outside it or on the line.So from point P there are infinite number of lines out of which only one line is parallel to line I. Suppose you are taking point P on line I, from that point P also infinite number of lines can be drawn but only one line will be coincident or parallel to line I.
2. Plane R is parallel to plane S; Plane T cuts planes R and S.(Imagine you are sitting inside a room ,consider two walls opposite to each other as two planes R and S and floor on which you are sitting as third plane T ,so R and S are parallel and plane T is cutting them so in this case their lines of intersect .But this is not possible in each and every case, suppose R and S planes are parallel to each other and Plane T cuts them like two faces of a building and third plane T is stairs or suppose it is in slanting position i.e not parallel to R and S so in this case also lines of intersection will be parallel.
3. △ABC with midpoints M and N.( As you know if we take a triangle ABC ,the mid points of sides AB and AC being M and N, so the line joining the mid point of two sides of a triangle is parallel to third side and is half of it.
4.Point B is between points A and C.( Take a line segment AC. Mark any point B anywhere on the line segment AC. Three possibilities arises
(i) AB > BC (ii) AB < BC (iii) AB = BC
Since A, B,C are collinear .So in each case