Answer:
if 8 loaves of bread costs $44.00 then 12 loaves will cost $66.00.
Step-by-step explanation:
you divide $44.00 by 8 which will give you $5.05 then you multiply $5.05 by 12.
4(3+14c−12d)
=(4)(3+14c+−12d)
=(4)(3)+(4)(14c)+(4)(−12d)
=12+c−2d
=c−2d+12
Answer:
What is centripetal acceleration?
Can an object accelerate if it's moving with constant speed? Yup! Many people find this counter-intuitive at first because they forget that changes in the direction of motion of an object—even if the object is maintaining a constant speed—still count as acceleration.
Acceleration is a change in velocity, either in its magnitude—i.e., speed—or in its direction, or both. In uniform circular motion, the direction of the velocity changes constantly, so there is always an associated acceleration, even though the speed might be constant. You experience this acceleration yourself when you turn a corner in your car—if you hold the wheel steady during a turn and move at constant speed, you are in uniform circular motion. What you notice is a sideways acceleration because you and the car are changing direction. The sharper the curve and the greater your speed, the more noticeable this acceleration will become. In this section we'll examine the direction and magnitude of that acceleration.
The figure below shows an object moving in a circular path at constant speed. The direction of the instantaneous velocity is shown at two points along the path. Acceleration is in the direction of the change in velocity, which points directly toward the center of rotation—the center of the circular path. This direction is shown with the vector diagram in the figure. We call the acceleration of an object moving in uniform circular motion—resulting from a net external force—the centripetal acceleration
Answer:
D) Neither X nor Y can be well approximated by a normal random variable.
Step-by-step explanation:
X = number of males (out of the 20) who are colorblind.
Y = number of females (out of the 40) who are colorblind.
Z = total number of colorblind individuals in the sample (males and females together).
The condition to use the normal approximation is that np > 5 and nq > 5
For X:
n = 20, p = 8% = 0.08,
q = 1 - 0.08 = 0.92
np = 20 * 0.08
np = 1.6 ( np < 5)
np = 20 * 0.92
np = 18.4 ( nq > 5)
For Y:
n = 40, p = 1% = 0.01,
q = 1 - 0.01 = 0.99
np = 40 * 0.01
np = 0.4 ( np < 5)
np = 40 * 0.99
np = 39.6 ( nq > 5)
For both X and Y, np < 5 and nq > 5. Since both np and nq are not greater than 5, both samples cannot be approximated by a normal distribution.
