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eduard
3 years ago
5

PLEASE HELP ME 60 POINTS

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

Answer: Hence,  the probability that, out of the next 5 customers, 4 or more will use a coupon is:

                 1/3

Step-by-step explanation: Total 15 trials were recorded as follows:

43454   24511   55555  43453     55315    25215    32235      43311      11154  13342   42514    13223      44215   45313  13324

Now, we are asked to find the probability that, out of the next 5 customers, 4 or more will use a coupon.

We know that probability is the ratio of number of favorable outcomes to the total number of outcomes.

 Hence, number of favorable outcomes are: 5

(32235    43311   13342    13223   13324  )

Total number of outcomes are: 15

( Since 15 trials were performed)

Hence, Probability is:  5/15 = 1/3

 Hence, the answer is: 1/3

              HOPE THIS HELPS!!!<u> - [email protected]</u>

You might be interested in
The question is below:
SSSSS [86.1K]

Answer:

Triangles ABE and CDE are congruent by AAS.

Step-by-step explanation:

AB ≅ DC   (Opposite sides of a parallelogram are congruent.

m < AEB = m < DEC     (Vertical angles).

m < ABE = m < EDC     ( Alternate Interior angles).

So triangles  ABE and CDE are congruent by AAS.

5 0
3 years ago
Logan is making bookmarks that contain flower petals. He has 95 petals. He uses 3 flower petals for each bookmark. What is the G
Tcecarenko [31]

Answer: The GREATEST number of bookmarks that Logan can make = 31.

Step-by-step explanation:

GIven: Total petals = 95

Number of petals required for each bookmark = 3

Number the number of bookmarks can be prepared from 95 petals = 95 ÷ (Petals required of each bookmark)

= 95÷3

=31\dfrac{2}{3}\ \ \ \approx31\text{    [Round to the nearest whole number.]}

i.e. The GREATEST number of bookmarks that Logan can make = 31.

5 0
2 years ago
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as
Olin [163]

Answer:

x = ∛(2V/7)

y = ∛(2V/7)

z = 3.5 [∛(2V/7)]

{x,y,z} = { ∛(2V/7), ∛(2V/7), 3.5[∛(2V/7)] }

Step-by-step explanation:

The aquarium is a cuboid open at the top.

Let the dimensions of the base of the aquarium be x and y.

The height of the aquarium is then z.

The volume of the aquarium is then

V = xyz

Area of the base of the aquarium = xy

Area of the other faces = 2xz + 2yz

The problem is to now minimize the value of the cost function.

The cost of the area of the base per area is seven times the cost of any other face per area.

With the right assumption that the cost of the other faces per area is 1 currency units, then, the cost of the base of the aquarium per area would then be 7 currency units.

Cost of the base of the aquarium = 7xy

cost of the other faces = 2xz + 2yz

Total cost function = 7xy + 2xz + 2yz

C(x,y,z) = 7xy + 2xz + 2yz

We're to minimize this function subject to the constraint that

xyz = V

The constraint can be rewritten as

xyz - V = 0

Using Lagrange multiplier, we then write the equation in Lagrange form

Lagrange function = Function - λ(constraint)

where λ = Lagrange factor, which can be a function of x, y and z

L(x,y,z) = 7xy + 2xz + 2yz - λ(xyz - V)

We then take the partial derivatives of the Lagrange function with respect to x, y, z and λ. Because these are turning points and at the turning point, each of the partial derivatives is equal to 0.

(∂L/∂x) = 7y + 2z - λyz = 0

λ = (7y + 2z)/yz = (7/z) + (2/y) (eqn 1)

(∂L/∂y) = 7x + 2z - λxz = 0

λ = (7x + 2z)/xz = (7/z) + (2/x) (eqn 2)

(∂L/∂z) = 2x + 2y - λxy = 0

λ = (2x + 2y)/xy = (2/y) + (2/x) (eqn 3)

(∂L/∂λ) = xyz - V = 0

We can then equate the values of λ from the first 3 partial derivatives and solve for the values of x, y and z

(eqn 1) = (eqn 2)

(7/z) + (2/y) = (7/z) + (2/x)

(2/y) = (2/x)

y = x

Also,

(eqn 1) = (eqn 3)

(7/z) + (2/x) = (2/y) + (2/x)

(7/z) = (2/y)

z = (7y/2)

Hence, at the point where the box has minimal area,

y = x,

z = (7y/2) = (7x/2)

We can then substitute those into the constraint equation for y and z

xyz = V

x(x)(7x/2) = V

(7x³/2) = V

x³ = (2V/7)

x = ∛(2V/7)

y = x = ∛(2V/7)

z = (7x/2) = 3.5 [∛(2V/7)]

The values of x, y and z in terms of the volume that minimizes the cost function are

{x,y,z} = {∛(2V/7), ∛(2V/7), 3.5[∛(2V/7)]}

Hope this Helps!!!

7 0
3 years ago
Your family needs a set of 4 tires. which of the following deals would you prefer. explain. 1. Buy 3 get one free,
scZoUnD [109]
Number 1 and number 3 are the same because if you are purchasing three tires that is 75% off the tires you need and one of them you get free. the free one becomes the overall discount of 25% off. number 3 is the same, the one quarter represents 25% off of the purchase.
4 0
3 years ago
What is the domain of the relation?<br><br> Express your answer using inequalities.
son4ous [18]

Answer:

-6<x<0

  -    -

Step-by-step explanation:

make them less than or equal to signs, I don't know how to do that on a computer, I hope I am correct

point one on the left is -6, point 2 on the right is 0 (in terms of the x-axis, that's what domain is )

when there is arrows in the graph, the x/y is always in the middle.

Good luck! Hope I'm not late!

8 0
3 years ago
Read 2 more answers
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