Answer:

Step-by-step explanation:
The variable x, that said the number of customer that will order a nonalcoholic beverage in a sample of n customers follows a binomial distribution. Because we have n identical and independent events with a probability p of success and (1-p) of fail.
So, the probability that x customers will order a nonalcoholic beverage is:

Where n is the size of the sample and p is the probability that a customer order a nonalcoholic beverage, so replacing the values, we get:

Now, the probability that at least 7 will order a nonalcoholic beverage is equal to:

Where:

So,
is equal to:

Finally, the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage is equal to 0.1886
Answer:
A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is
and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Step-by-step explanation:
Work done to lift the rope by distance x feet:

Work done to lift the bucket by distance x feet:

On reaching top 7 gallons of water spilled out so , on going up by x feet
gallons of water spilled out.
a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:

Now the work to get the bucket to the top of the cliff i.e. x =35

W=3726
Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is
and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Answer:
y+2=m(x+2)
Step-by-step explanation:
y - y1 = m(x - x1)
y- (-1) = m( x-(-1) )
y+2 = mx +2m
Answer:
1. $109.20 2. $46.80
Step-by-step explanation:
Doing the math, we find that 30% of 156 (138+18) is 46.80, which answers the second part of this problem. Plugging this value into the first part of the equation gives us what Stefan originally paid.
Good luck! Hope this helps!
Answer:
x= -1 and x =0
Step-by-step explanation:
all work is shown and pictured