Answer:
He is incorrect. The path will have an area of (4)(40) = 160 ft². The yard has an area of 600 ft². The area of the lawn will be the difference of the yard and path, so it is 440 ft².
Step-by-step explanation:
1. Original area of yard
A = lw = 40 × 15 = 600 ft²
2. Area of path
The path is a parallelogram.
A = bh = 4 × 40 =160 ft²
3. Remaining area
Remaining area = original area - area of path = 600 - 160 = 440 ft².
Answer:
0.183
Step-by-step explanation:
This is a question on Binomial Probability
Formula =nCx × p^x × q^n - x
p = 0.72
q = 1 - p
= 1 - 0.72
= 0.28
x = number of successes = 9
n = 10
The probability that at least nine out of ten people used an online travel website when they booked their airline ticket
At least 9 out of 10 means
x ≥ 9 = x = 9 and x = 10
Hence,
P(x ≥ 9) = 10C9 × (0.72^9 × 0.28^10 - 9) + 10C10 × ( 0.72^10 × 0.28^10 - 10)
P(x ≥ 9) = 0.14559635388 + 0.0374390623
= 0.18303541631
≈ 0.183
Answer
Find out the value of x .
To proof
SAS congurence property
In this property two sides and one angle of the two triangles are equal.
in the Δ ADC and ΔBDC
(1) CD = CD (common side of both the triangle)
(2) ∠CDA = ∠ CDB = 90 °
( ∠CDA +∠ CDB = 180 ° (Linear pair)
as given in the diagram
∠CDA = 90°
∠ CDB = 180 ° - 90°
∠ CDB = 90°)
(3) AD = DB (as shown in the diagram)
Δ ADC ≅ ΔBDC
by using the SAS congurence property .
AC = BC
(Corresponding sides of the congurent triangle)
As given
the length of AC is 2x and the length of BC is 3x - 5 .
2x = 3x - 5
3x -2x =5
x = 5
The value of x is 5 .
Hence proved
Answer:
28.89
Step-by-step explanation:
Total cost =$1444.50
shipping percent= 2%
So, there is written that Shipping = 2% of Total cost
Ship Cost= 2%×$1444.50
= $28.89
Answer:
$229673.215
Step-by-step explanation:
Given : The price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings
To Find : what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate?
Solution:
Principal = $42000
Time = 5 years
Rate = 3% = 0.03
Formula : 
So , Marginal cost = 43260+44557.8+45894.534+47271.370+48689.511
Marginal cost = $229673.215
Hence the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate is $229673.215
