Answer:
Each side of the Rhombus is 5 units
Step-by-step explanation:
Since the sides of a rhombus area all equal in length;
Then, the length of a side is enough to get the lengths of the other sides
Mathematically, finding the distance between two points out of what we are given will be enough to get the measure of one of the side of the rhombus
We apply the distance formula appropriately to get the distance between the side of the Rhombus
D = √(x2-x1)^2 + (y2-y1)^2
let us use the points (-1,0) and (4,0)
D = √(4 + 1)^2 + (0-0)^2
D = √25
D = 5
Answer:
There are 23.1% probability of flights getting delayed.
Step-by-step explanation:
Given:
Number of samples of flights selected = 1000
Number of flights arrived on time = 769
We need to find the probability of flight being delayed.
Solution:
Now we will first find the number of flights which are delayed.
number of flights which are delayed can be calculated by subtracting Number of flights arrived on time from Number of samples of flights selected.
framing in equation form we get;
number of flights which are delayed = 
Now we will find the probability of flight being delayed.
probability of flight being delayed can be calculated by dividing number of flights which are delayed from the Number of samples of flights selected and then multiply by 100.
framing in equation form we get;
probability of flight being delayed = 
Hence There are 23.1% probability of flights getting delayed.
Answer:
= 12x³ - 6x² - 7
Step-by-step explanation:
Differentiate each term using the power rule
(a
) = na
Given
y = 3
- 2x³ - 7x + 5, then
= 4.3
- 3.2
- 7
+ 0
= 12x³ - 6x² - 7
Answer:
Step-by-step explanation:
The points are (1, 3) and (-1, 1)
y2 = 1, y1 = 3, x2 = -1 and x1 = 1
Slope m = (y2 - y1)/(x2 - x1)
m = (1 - 3)/(-1 - 1)
m = -2/-2
m = 1
The question is
y - y1 = m(x - x1)
y - 3 = 1(x - 1)
y - 3 = x - 1
y = x - 1 + 3
y = x + 2
Answer:
48
Step-by-step explanation:
Volume of triangular prism = Base Area × length of prism
Base area = ½*base*height
base = c = 3 cm
height = b = 4 cm
Base area = ½*3*4 = 6 cm²
Length of prism = d = 8 cm
Therefore,
Volume = 6 × 8 = 48 cm³