Hey there!!
How do we solve this problem :
We will use the combinations formula to solve this :
c ( n , r ) where n = 11 and r = 2
c ( n , r ) = n ! / r ! ( n - r ) !
... 11 ! / 2 ! ( 11 - 2 ) !
... 11! / 2! × 9!
... 11! / 2 × 9!
... 11×10×9×8×7×6×5×4×3×2 / 2×9×8×7×6×5×4×3×2
... 11×10 / 2
... 11 × 5
... 55 combinations.
Hence, the required answer = 55 , option ( d )
Hope my answer helps!
Answer:
70%
Step-by-step explanation:
Answer:
y = (4/7)X + 22/7
Step-by-step explanation:
Moving from (-2, 2) to (-6, -5), we see that x (the "run") decreases by 4 and y (the "rise") decreases by 7 (from 2 to -5). Thus, the slope is m = rise / run =
-4/(- 7) = 4/7. The slope intercept form y = mx + b takes on the specific values 4/7 for m, 2 for y and -2 for x:
2 = 4/7(-2) + b, or 14 = -8 + 7b. Thus, 22 = 7b, and b = 22/7.
The desired equation is y = (4/7)X + 22/7.
Answer:
C = 35 + 45h
In the equation above $35 is the initial value which interprets the cost for motor parts and $45/hour is the rate of charge of the mechanic per hour.
Step-by-step explanation:
Charges for parts and $45 per hour for labor that takes a mechanic for maintenance of a car.
It costs $125 as Terri spent 2 hours for car maintenance.
Since the function is linear, so we can write
125 = 45 × 2 + x {Where x is the charges for parts}
⇒ x = 35
Therefore, the equation that models the situation is given by
C = 35 + 45h ......... (1)
where C is the total cost and h is the number of hours.
Here, in equation (1) $35 is the initial value that interprets the cost for parts and $45/hour is the rate of charge of the mechanic per hour. (Answer)
Answer:
so
Step-by-step explanation:
what