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3 years ago

What is the probability that a stamp chosen at random is a commemorative or a special delivery stamp?

Mathematics

1 answer:

Ksivusya [100]3 years ago

3 0

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

$P(\text{ getting a commemorative stamp})=0.16$

and

$P(\text{getting a special delivery stamp})=0.18$

So, we need to find,

$P(\text{getting either a commemorative or a special delivery stamp})\\=P(\text{getting a commemorative stamp})+P({\text{ getting a special delivery stamp})$

(∵they are independent events .)

$P(\text{getting either a commemorative or a special delivery stamp})\\=0.16+0.18\\=0.34$

So, option 'D' is correct.

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What whole number dimensions would allow the students to maximize the volume while keeping the surface area at most 160 square f

ycow [4]

Answer:

The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft

Step-by-step explanation:

Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²

For maximum volume, the side length, s of the cube must all be equal ;

Therefore area of one side = s²

Number of sides in a cube with top open = 5 sides

Area of surface = 5 × s² = 180

Therefore s² = 180/5 = 36

s² = 36

s = √36 = 6 ft

Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.

6 0

2 years ago

Can someone help me on number 7

MatroZZZ [7]

Equilateral, isosceles, and acute

5 0

3 years ago

Read 2 more answers

The owner of a small store buys coats for $45.00 each. Answer parts a and b. a. He sells the coats for $63.00 each. What perce

irga5000 [103]

Answer:

The purchase price is 71.4% of the sale price.

Step-by-step explanation:

1) 45 / 63 = 0.714

2) 0.714 * 100 = 71.4%

I didn't see part B.

7 0

3 years ago

Suppose an airline policy states that all baggage must be box shaped with a sum of length, width, and height not exceeding 174 i

Leya [2.2K]

Answer:

The square-based box with the greatest volume under the condition that the sum of length, width, and heigth does not exceed 174 in is a cube with each edge of 58 in and a volume of $195112 in^{3}$

Step-by-step explanation:

For this problem we have two constraints, that are as follows:

1) Sum of length, width, and heigth not exceeding 174 in

2) Lenght and width have the same measure (square-based box)

We know that volume is equal to the product of all three edges, and with the two conditions into account we have the next function:

$V=(w^{2})(174-2w)\\V=174w^{2}-2w^{3}$

The interval of interest of the objective function is [0, 87]

This problem requieres that we maximize the function that defines the volume. We start calculating the derivative of the function, wich is:

$V'=348w-6w^{2} \\V'=(348-6w)(w)$

We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.

So we find the value in wich the derivative equals zero:

$0=(348-6w)(w)\\w_1=0\\w_2=348/6=58$