Answer:
Mean = 28.38
Standard Deviation = 4.02
Step-by-step explanation:
Probability that a restaurant failed in the first year = p = 43% = 0.43
The probability of occurrence is constant. The events(failing of restaurants) are independent. Number of trials if fixed and there are only two possible outcomes i.e. either restaurant failed or not failed.
This scenario satisfies all the conditions of a Binomial experiment setting. So, we will use Binomial Experiment to answer the questions.
The formula to calculate the Mean of Binomial Distribution is:
Mean = u = np
Here, n is the number of trials, which is 66 in this case. So,
Mean = u = 66 x 0.43 = 28.38
Standard Deviation of a Binomial Distribution is calculated as:
Use the slope formula (y2-y1)/(x2-x1)
(15-10)/(6-4)= 5miles/2minutes
Therefore the answer is 2.5 miles per minute choice c
Step-by-step explanation:
Given the information that the scale of 1 : 60
- a. Plot a point which is 240 cm from A and is on the line AB.
Scale = 1 : 60
<=> 240 cm = 4 cm
Use a compass with the width = 4 cm and the center is point A then you draw an arc such that it intersect line AB . After that, we will have a point (the intersection point) which is which is 240 cm from A and is on the line AB
- b) Plot a point which is 240 cm from A and is on the line CD.
Scale = 1 : 60
<=> 240 cm = 4 cm
The same way in the answer A, use a compass with the width = 4 cm and the center is point A then you draw an arc such that it intersect line CD . After that, we will have a point (the intersection point) which is which is 240 cm from A and is on the line CD
- c) Plot a point which is 240 cm from A and is 96 cm from the line CD
96/60 = 1.6 cm
We will D draw a line parallel to CD at a distance of 1.6 cm, then we will use use a compass with the width = 4 cm and the center is point A then you draw an arc such that it intersect line CD.
Hope it will find you well.
Answer:
Step-by-step explanation:
x²+6x = 18
coefficient of the x term: 6
divide it in half: 3
square it: 3²
add 3² to both sides to complete the square and keep the equation balanced:
x²+6x+3² = 18+3²
(x+3)² = 27
x+3 = ±√27 = ±3√3
x = -3±3√3
Answer:
the equilibrium expected growth rate is 6.65%
Step by step Explanation:
We were given stock sold per share of $32.50
Dividend per share =$1.25
Required Return rate = 10.5%
Then we can calculate Percentage of Dividend for share as;
dividend of br. 1.25 per share at the end of the year (D1=br.1.25)
= 1.25×100= 125
Let the dividend percentage = y
stock sold per share × y= 125
125= 32.50y
y = 125/32.50
y= 3.85
y= 3.85*100%
Then the Dividend percentage = 3.85%
Growth rate=(required rate of return -Dividend percentage)
= 10.5 - 3.85 = 6.65
Therefore, the equilibrium expected growth rate is 6.65%