Answer:
Probability[Number greater than 4] = 1/2
Step-by-step explanation:
Given:
Total side of die = 8
Find:
Probability[Number greater than 4]
Computation:
Number greater than 4;
[5,6,7,8]
Total number greater than 4 = 4
Probability[Number greater than 4] = Total number greater than 4 / Total side of die
Probability[Number greater than 4] = 4 / 8
Probability[Number greater than 4] = 1/2
Answer:
y = -8x -25
Step-by-step explanation:
The 2-point form of the equation of a line is useful when you are given 2 points.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (7 -(-1))/(-4 -(-3))(x -(-3)) +(-1)
y = 8/-1(x +3) -1
y = -8x -25
Answer:
1 hot dog costs $0.75
1 bratwurst costs $1.35
Step-by-step explanation:
Let x and y be the price per dozen of hot dogs and bratwursts respectively.
The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60
8x + 13y = 282.60
The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00
10x + 15y = 333
and we have the linear system
<em>8x + 13y = 282.60
</em>
<em>10x + 15y = 333
</em>
which can be written in matrix form as
The solution would be given by
We have
hence
Now,
if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75
if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35
Answer:
cool
Step-by-step explanation:
whats ur question about it?
Kim's Loan:
Let A = amount borrowed from bank A.
Let B = amount borrowed from bank B.
The total loan is $55,000.
Therefore
A + B = 55000 (1)
Bank A charges 8% interest. The interest after 1 year is 0.08A.
Bank B charges 11% interest. The interest after 1 year is 0.11B.
Total interest after 1 year is $5,000.
Therefore
0.08A + 0.11B = 5000 (2)
From (1), obtain
B = 55000 - A (3)
Substitute (3) into (2).
0.08A + 0.11(55000 - A) = 5000
0.08A + 6050 - 0.11A = 5000
-0.03A = -1050
A = -1050/-0.03 = 35000
Answer: Kim borrowed $35,000 from bank A.
Jack's Loan.
A = loan from bank A.
B = loan from bank B.
The total loan is $10,000.
Therefore
A + B = 10000 (4)
Bank A charges 5% interest and bank B charges 6% interest.
Total interest after 1 year is $530, therefore
0.05A + 0.06B = 530 (5)
From (4), obtain
B = 10000 - A (6)
Substitute (6) into (5).
0.05A + 0.06(10000 - A) = 530
0.05A + 600 - 0.06A = 530
-0.01A = -70
A = -70/-0.01 = 7000
Answer: Jack borrowed $7,000 from bank A.
