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tiny-mole [99]
3 years ago
10

Please help me with this problem...

Mathematics
1 answer:
Leokris [45]3 years ago
4 0

Answer:

The probability that they both miss their targets is 1/3

Step-by-step explanation:

In this question, we are trying to calculate the probability that if the captain and the pirate fires the canon in their ships at the same time, they both miss.

We proceed as follows;

Let the probability of the captain hitting the pirate be P(c) = 1/2

The probability of the captain missing is thus ; 1 - 1/2 = 1/2 or 0.5

Let the probability of the pirate hitting the captain be P(r) = 1/3 , the probability of him not hitting the captain is 1-1/3 = 2/3

Now the probability of both of them missing is = probability of the captain missing a fired shot * probability of the pirate missing a fired shot

Hence, we have; 2/3 * 1/2 = 2/6 = 1/3

You might be interested in
Two Identical Buildings stand parallel on opposite sides of a road. Find the angle of depression from A to B
Aleks04 [339]

Answer:

8.7°

Step-by-step explanation:

The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.

The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:

base² = 43² + 15²

base² = 2074

base = 45.54 m

Using trigonometric function to find angle A:

tan(A) = base / height

tan(A) = 45.54 / 7

tan(A) = 6.506

A = tan⁻¹ (6.506)

A = 81.3°

Angle of depression = 90° - A = 90 - 81.3

Angle of depression = = 8.7°

6 0
2 years ago
Staci has seven more cats than Taylor. write an expression that illustrates how many cats Staci has. Use x to represent the numb
laila [671]

X + 7 is your answer


4 0
2 years ago
Read 2 more answers
Help :/ i added a photo thank you
kirill115 [55]
Believe it’s 15° B is correct
8 0
3 years ago
Read 2 more answers
3. Candy Kane Cosmetics (CKC) produces Leslie Perfume, which requires chemicals and labor. Two production processes are availabl
lana66690 [7]

Answer:

using solver, the optimal solution is 6,666P₁ or process 1 should work for 6,666 hours during the year.

Total production = 6,666 x 3 = 19,998 ounces of perfume.

Total revenue = 19,998 x $5 = $99,990

Total costs = (6,666 x $3 per labor hour) + (6,666 x 2 x $2 per unit of chemicals) = $46,662

Operating income = $53,328

Step-by-step explanation:

Variables:

P₁ = number of hours in process 1

P₂ = number of hours in process 2

P₁ yields 3 ounces of perfume

P₂ yields 5 ounces of perfume

both are sold at $5 per ounce

15P₁ + 25P₂

labor usage:

(1P₁ + 2P₂) x $3

3P₁ + 6P₂

chemicals usage:

(2P₁ + 3P₂) x $2

4P₁ + 6P₂

Profit = 15P₁ + 25P₂ - (3P₁ + 6P₂) - (4P₁ + 6P₂) = 8P₁ + 13P₂

so we need to maximize 8P₁ + 13P₂

the constraints are:

3P₁ + 6P₂ ≤ 20,000

4P₁ + 6P₂ ≤ 35,000

P₁, P₂ ≥ 0

using solver, the optimal solution is 6,666P₁ or process 1 should work for 6,666 hours during the year.

Total production = 6,666 x 3 = 19,998 ounces of perfume.

Total revenue = 19,998 x $5 = $99,990

Total costs = (6,666 x $3 per labor hour) + (6,666 x 2 x $2 per unit of chemicals) = $46,662

Operating income = $53,328

8 0
2 years ago
Round your answer to the nearest hundredth
Anestetic [448]
I believe it is 400. I am sorry if I give you the wrong.
8 0
3 years ago
Read 2 more answers
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