The probability that each is right-handed is 0.9, so the probability that all are right-handed (none is left-handed) is
0.9³ = 0.729
For this case we have the following system of equations:
5x + 3y = 17
-8x - 3y = 9
We can rewrite the system like:
Ax = b
Where,
A = [5 3; -8 -3]
b = [17; 9]
x = [x; y]
The determinant of matrix A is given by:
lAl = ((5) * (- 3)) - ((3) * (- 8))
lAl = (-15) - (-24)
lAl = -15 + 24
lAl = 9
Answer:
The determinant for solving this linear system is:
lAl = 9
Answer:
Step-by-step explanation:
If the ratio of triangle = 3:5:7
Total ratio = 3+5+7 = 15
The sum of angle in a triangle is 180°
1st angle= 3/15× 180 = 3 × 12 = 36°
2nd angle= 5/15 × 180 = 5 × 12 = 60°
3rd angle= 7/15 × 180 = 7 × 12 = 84°
Answer:
7/40
Step-by-step explanation:
probability of taking 7 vehicles from 10 vehicles = 10C₇
number of ways taking 2 SUVs and 5 trucks = 3C₂* 7C₅ = 63
number of ways taking 3 SUVs and 4 trucks =3C₁*7C₄ = 35
number of ways taking 2 SUVs and 5 trucks or 3 SUVs and 4 trucks = 63 + 35 = 98
The probability that any 7 randomly chosen parking spots have 2 SUVs and 5 trucks or 3 SUVs and 4 trucks is = 98/120 = 49/60
number of ways taking 7 randomly chosen vehicles, exactly 1 is an SUV = 3C₁*7C₆ = 21
The probability that of any 7 randomly chosen vehicles, exactly 1 is an SUV is 21/120 = 7/40
<h3>Answer</h3>
Sale Price = $36.4
Step-by-step explanation:
Sale Price = $36.4 (answer). This means the cost of the item to you is $36.4. You will pay $36.4 for a item with original price of $45.50 when discounted 20%. In this example, if you buy an item at $45.50 with 20% discount, you will pay 45.50 - 9.1 = 36.4 dollars.