The area of the trapezoid :
the area of the triangle :
first you should find the height
now :
the area of the whole shape :
the answer is 19ft^2
good luck
Answer: you would have to purchase $1300 of merchandise and the total yearly amount paid to the warehouse for each plan is $1210
Step-by-step explanation:
Let x represent the number of dollars of merchandise that you would have to purchase in a year to pay the same amount under both plans.
Plan A offers an annual membership fee of $300 and you pay 70%, of the manufacturers reccomended list price. This means that the total cost of using plan A would be
300 + 0.7x
Plan B offers an annual membership fee of $40 and you pay 90% of the manufacturers reccomended list price.
This means that the total cost of using plan B would be
40 + 0.9x
For both plans to be the same,
300 + 0.7x = 40 + 0.9x
0.9x - 0.7x = 300 - 40
0.2x = 260
x = $1300
The total yearly amount paid to the warehouse for each plan would be
40 + 0.9 × 1300 = $1210
Given: all selections are without replacement
Let D=event that chip is defective
N=event that chip is normal
note that D and N are complementary.
x=undefined event
(a) Second is defective
Probability for second chip to be defective
P(xD)=P(ND)+P(DD)
P(ND)=(80/100)*(20/99)=1600/9900
P(DD)=(20/100)*(19/99)=380/9900
=>
P(xD)=(1600+380)/9900=1980/9900=1/5
(b) All three are defective
P(DDD)=(20/100)*(19/99)*(18/98)=19/2695
Note: in probabilities, it is preferable to use the exact values (i.e. fractions).
The answer is your 3rd option:
y = -40x + 200
Answer:
Step-by-step explanation:
As we move from the point (2, 4) to the point (3, 6), x increases by 1 and y increases by 2. Thus the slope of the line connecting these two poins is m = rise/run = 2/1, or just 2.
Use the basic point-slope equation: y - k = m(x - h). Substitute 2 for x, 4 for y and 2 for m:
y - 4 = 2(x - 2). This is the desired equation in point slope form.
To find the equation in standard form, perform the multiplication as follows:
y - 4 = 2x - 4. We want this to look like Ax + By = C.
Thus, subtract 2x from both sides:
-2x + y = -4, or
2x - y = 4 This is the desired equation in Standard Form.
