Answer:
Step-by-step explanation:
We have been given that when the price of a product is p dollars each, suppose that a manufacturer will supply units of the product to the market and that consumers will demand to buy units. We are asked to find the equilibrium.
To find equilibrium, we will equate demand with supply and solve for p as:
Therefore, when the price of product is $47, then the market is said to be in equilibrium.
Answer:
The equation of the line of best fit is y = x + 2
Step-by-step explanation:
<em>To find the equation of the line of best fit chose two points when the line passing through them the number of points over it equals the number of point below it</em>
- The form of the equation is y = m x + b, where m is the slope of the line and b is the y-intercept (y at x = 0)
- The formula of the slope is
From the attached graph the points (37 , 39) and (47 , 49) are the best choice to make the equation of the line of best fit
∵ The line passes through points (37 , 39) and (47 , 49)
∴ = 37 and = 47
∴ = 39 and = 49
- Substitute them in the formula of the slope
∵
∴ m = 1
- Substitute the value of m in the form of the equation
∴ y = (1) x + b
∴ y = x + b
- To find b substitute x and y in the equation by the coordinates
of one of the two points above
∵ x = 37 and y = 39
∴ 39 = 37 + b
- Subtract 37 from both sides
∴ 2 = b
∴ y = x + 2
The equation of the line of best fit is y = x + 2
The correct answer above would be C.
Applying proportions, it is found that the discounted price of each console at store B is given by:
B. $210.80.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, at store B, 15 consoles sold for a total of $3,720, hence the price per console is of:
P = 3720/15 = $248.
A discount of 15% is applied, which means that the new price is 85% of the original price, hence:
P = 0.85 x 248 = $210.8.
Which means that option B is correct.
More can be learned about proportions at brainly.com/question/24372153
Answer:
0.0001899
Step-by-step explanation:
Total number to be selected from= 22
The number to be chosen for the event in an ordered sample is 5 from 22 people= 22C5
Where 22 Is the total number of possibilities and 5 is the no of selection
22C5= 22!/(22-5)!5!
= 22!/17!5!
= 22*21*20*19*18*17!/17!*5!
22*21*20*19*18/5*4*3*2*1
=22*7*19*9
=26334
If there is exactly 5 young people in the population, the probability will be 5/22C5
=5/26334
=0.0001899.