Answer:
steps below
Step-by-step explanation:
Total = 12+17+14 = 43
Without replacement:
C(12,5) / C(43,5) = (12!/5!*7!) / (43!/5!*38!) = (12*11*10*9*8) / (43*42*41*40*39)
= 95040 / 115511760
= 0.00082
≈ 0.082%
with replacement: 12/43*12/43*12/43*12/43*12/43 = 12⁵ / 43⁵
The slope is 9 and the y intercept is 4.
In 60 minutes, the machine can sew 300 buttons. The machine sews 5 buttons a minute. 60 x 5 = 300
Answer: fish
Step-by-step explanation: 2+2=fish
Answer:
second option
Step-by-step explanation:
Pythagoras for right-angled triangles :
c² = a² + b²
c is the Hypotenuse, the line opposite of the 90 degree angle.
a and b are the other 2 sides.
the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.
so, we have (-2, -3) and (3, 2)
distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =
= (-5)² + (-5)² = 25 + 25 = 2×25 = 50
distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)
