The weight of a medium sized orange selected at random froma large bin of orangesat the local supermarket is a random variable with mean=12 ounces and standard deviation=1.2 ounces. suppose we independently pick two oranges at random from the bin. the difference in the weights of the two oranges selected(the weight of the first orange minus the weight of the second orange)is a random variable with what mean and standard deviation approximately? (2-decimal places)
x=first orange weight
y=second orange weight

Step-by-step explanation:

Here Z=X-Y is the random variable denoting the difference in the weight between two oranges selected

X,Y~N(12, 1.2) as number of oranges was large and the oranges were picked randomly

Now we know,

Hence Z~N(0, 1.69706)

mean=0

Standard Deviation =1.70 (approximated )

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5