Answer:
B. Located at the intersection of 10th Street and 17th Avenue.
Step-by-step explanation:
The point (x,y) that divides segment AB with endpoints at 
and 
in the specified ratio 
has coordinates
In this scenario,
The fruit market (F) is located three-fourths of the way from Tia’s residence to Lei's residence, hence 
or 
Therefore,
Thus, the fruit market lies at the location 
meaning it’s situated at the intersection of 10th Street and 17th Avenue.
Response:
0.5; 0.34458
Detailed explanation:
Given the following:
Mean (m) = 28
Standard deviation, s = 5
To calculate the Z-score:
Z = (x - m) / s
1.) P(x > 28)
Z = (28 - 28) / 5
Z = 0
P(Z > 0) = 0.5 (Z probability calculator)
2.) P(x < 26)
Z = (26 - 28) / 5
Z = -0.4
P(Z > -0.4) = 0.34458 (Z probability calculator)
1/ 816
Step-by-step explanation:
Step 1 :
Assumptions made
Number of students in the school = 18
Number selected randomly = 3
Step 2 :
Calculating number of ways to choose 3 students from a group of 18:
C(18,3) = 18! /(3!(18-3)!) = 18*17*16/3*2*1 = 816
Ways to choose the youngest 3 students = 1
Hence, the probability of picking the 3 youngest students from this group is 1/ C(18,3) = 1/ 816
Let x represent the number of apples and y the number of oranges.
Starting with the first scenario, since each apple is priced at $0.24 and each orange at $0.80, we have:
total spent on apples = 0.24x and total spent on oranges = 0.8y
Given that the total expenditure is $12, the first equation is:
0.24x + 0.8y = 12
For the second scenario, the total number of pieces of fruit purchased is 20, thus the second equation is:
x + y = 20
By graphing these equations, one can identify a potential combination at the intersection of the two lines.
Response:
x = -y-12/5 + 4k
Detailed explanation:
Solve for x in the equation 12 - 5x - 4kx = y
12 - 5x - 4kx = y
Subtract 12 from both sides
-5x - 4kx = y - 12
Factor out -5x - 4kx to get -x(5 + 4k)
-x(5 + 4k) = y - 12
Now isolate x
-x = (y - 12)/(5 + 4k)
Thus, x = -y - 12/5 + 4k
