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inna [77]
3 years ago
8

Joey spins a spinner and lands on the number 4. Then Jennifer spins and lands on the number 2. Are these events independent or d

ependent?
Mathematics
1 answer:
miv72 [106K]3 years ago
7 0

Answer:

Independent. The spins do not have any connections nor do the players.

Step-by-step explanation:

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A company runs food service concessions for sporting events throughout the country. Their marketing research department chose a
aleksley [76]

Answer:

$3

Step-by-step explanation:

Given that:

p = 8 - ln(x) when 5 < x < 500

where;

x = The total number of dogs sold

Then;

The total revenue = x * p

R = x(8 - ln(x))

R = 8x - xln(x)

The Company thus pays 1 dollar per dog

i.e.

The total cost C = 1 * x = x

Then: Profit = R - C

P = 8x - xln(x) - x

P = 7x - xln(x)

Differentiating P in respect to x

dP/dx = 7 - d/dx(xln(x))

dP/dx = 7 - x*d/dx(ln(x)) - ln(x)*d/dx(x)

dP/dx = 7 - x(1/x) - ln(x)

dP/dx = 6 - ln(x)

Since this must be maximized, dP/dx is set to be equal to 0

6 - ln(x) = 0

ln(x) = 6

x = e^6

Now, p = 8 - ln(x)

Plug in the value of x :

p = 8 - ln(e^5)

p = 8 - 5

p = 3

Therefore, each dog must be priced at $3 to maximize the profit.

7 0
3 years ago
A leprechaun places a magic penny under a girl's pillow. The next night there are 2 magic pennies under her pillow. Each night t
Mrac [35]

Answer:

The girl will have $335,544.32

Step-by-step explanation:

2^25 = 33,554,432

Divide by 100 to turn the amount of pennies into dollars:

33,554,432/100

$335,544.32

3 0
3 years ago
Can someone please help me with this question??
WARRIOR [948]

If the entire student population seems a lot higher than 10 people, I say no. It just depends on the student population. Please look at the earlier parts and respond with a comment what the entire student population is, but if there is no specifications, I would assume they should find a larger sample because 10 people is not accurate to find a general opinion over a larger population.

8 0
3 years ago
An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with
djverab [1.8K]
<u></u>You would add 54+42+153=249 to find the total amount of customers from the previous week. Then you would divide 54/249= 0.2168 to find the amount of customers that used cash to total customers. The closest fraction would be about 1/5. 
6 0
3 years ago
Read 2 more answers
Find the coordinates of the midpoint of a segment with the given endpoints. A(-12,2), C(-3,5)
DIA [1.3K]

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

<h3>What is the mid-point of the line segment?</h3>

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are A(-12, 2) and C(-3,5).

Then the coordinates of the midpoint of a segment with the given endpoints will be

(x, y) = [(- 12 - 3) / 2, (2 + 5) / 2]

(x, y) = (-15/2, 7/2)

(x, y) = (-7.5, 3.5)

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

More about the mid-point of the line segment link is given below.

brainly.com/question/17188072

#SPJ4

4 0
1 year ago
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