Answer:
Using a bar graph where one bar has a length of 2.4 and one bar has a length of 1.8
Step-by-step explanation:
You use a bar graph to compare things between different groups, so it is the most appropriate one to use.
You use a pie chart to compare parts of a whole, so it would not be appropriate.
The graph should represent the relative sizes of the two values (24:18 or 1.33:1). Using a square or a cube would distort the relationship. The relative area of the squares would be 1.77:1 and that of the cubes would be 2.37:1.
Disturb -4 into the parentheses
-24x-12=-12
add 12 both sides
-24x=0
divide-24 both sides
x=0
Solution:
we are given that
The fairy tale spectacular is coming to town. Admission to the fair costs $32.50 and each ride costs $.80.
You have $50 to spend at the fairy tale spectacular including admission.
Suppose you took x ride, then we can write.
So the inequality can be written as below:
PartB:
Now lets solve the inequality
Hence you can take a maximum of 21 rides.
Answer:
Step-by-step explanation:
Given the differential equation
25y′′+40y′+16y=0
Using D operator to find the complementary solution
Since the Differential equation is equal to 0, then it doesn't have a partial solution.
25y′′+40y′+16y=0
25D² + 40D +16 = 0
25D² + 20D + 20D +16 = 0
5D(5D+4)+4(5D+4)= 0
(5D+4)=0 twice
D = -4/5 twice,
So the solution is a real and equal roots
y(t) = (A+B•t) exp(—0.8t)
Where A and B are constant
The initial value are.
y(0)=a, y′(0)=−1
y(0) = a = (A+B(0)) exp(—0.8(0))
a = A
Then, the constant A = a.
Now, y'(t)
y'(t)=B•exp(-0.8t)-0.8(A+B•t)exp(-0.8t
-1 = B - 0.8A
Since A =a
Then, B = 0.8a —1
The solution becomes
y(t) = (a+(0.8a-1)•t) exp(—0.8t)
For t>0
For positive,
a + (0.8a -1)> 0
1.8a > 1
a > 1/1.8
a > 10/18 > 5/9
a > 5/9.
Answer:
14
Step-by-step explanation:
Given the data:
13 15 14 16 12
The point estimate of the population mean will be :
ΣX/ n
X = Given data points
N = sample size
ΣX = (13 + 15 + 14 + 16 + 12) = 70
N = 5
Hence,
ΣX/ N = 70 / 5
Point estimate of population mean = 14
