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otez555 [7]
3 years ago
5

To explain:The reason for the statement to be incorrect.A person participates in a weekly office pool in which he has one chance

in ten of winning the prize. If he participates for five weeks in succession, the probability of winning at least one prize is 5/10.
Mathematics
1 answer:
stepan [7]3 years ago
3 0

Answer:

The correct answer is - given approach is incorrect.

Step-by-step explanation:

P = probability of winning = 1/10

q = probability of not winning = 1- (1/10) = 9/10

x = no. of winning

then, p (x ≥ 1) = 1 - p (x < 1)

= 1 - p (x=0)

= 1 - ⁵C₀ (1/10)^⁰ (9/10)^(5-0)

= 1 - (1) (1) (9/10)^5

=  1 - (9/10)^5

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True or False? The incenter of a triangle is the center of the only circle that can be circumscribed about it.
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The answer would be False
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4 years ago
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A rectangular prism has a length of 14 cm, width of 2 cm, and height of 3 cm. What is the volume?
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Answer: 84 cubic cm

Step-by-step explanation: You just do 14 times 2 and the answer times 3 which is 84 cubic cm.

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The product of 7 and a number, all subtracted from 10
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Answer: i think the answer is -3

Step-by-step explanation:

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3 years ago
Two scuba divers are 30m apart below the surface of the water. They both spot a shark that is below them. The angle of depressio
Ostrovityanka [42]

Answer:

distance of diver 1 from the shark ≈ 18.88 m

Step-by-step explanation:

The illustration forms a triangle. The base of the triangle which is their distance apart is given as 30 m . The known angle of the triangle are 52° and 39°. To find the unknown side we subtract the sum of 52° and 39° from 180°. Note that the total angle in a triangle is 180°.

Therefore,

180 - (52 + 39) = 180 - 91  = 89 °. Now the three angle of the triangles are 52°, 39° and 89°.

Using the law of sine we can find the distance of the diver 1 from the shark.

let a = distance of the first diver to the shark.

a/sin 39° = 30/sin 89°

cross multiply

a sin 89° = 30 sin 39°

divide both sides by sin 89°

a = 30 sin 39°/sin 89°

a = 30 × 0.62932039105 /sin 89°

a = 18.8796117315 /0.99984769515

a = 18.8824876258

a ≈ 18.88 m

3 0
3 years ago
How do you do this question?
jolli1 [7]

Answer:

Cartesian Equation: y = √(1 - x^2)

Graph: Second one

Step-by-step explanation:

x^2 = sin^2(θ/2),

y^2 = cos^2(θ/2),

According to that theory, by the circle equation, x^2 + y^2 = 1^2.

When θ = -π, x = sin(-π/2) = - 1, and y = cos(-π/2) = 0

When θ = π, x = sin(π/2) = 1, and y = cos(π/2) = 0

The radius is 1 in this case, (x^2 + y^2 = r^2 -> x^2 + y^2 = 1^2 -> x^2 + y^2 = 1) as the semicircle ranges from (- 1, 0) to (1,0). Therefore your graph is the second one;

When theta = 0, x = sin 0 = 0, and y = cos 0 = 1, so the semicircle passes through (0, 1). To determine the equation, let's simply isolate "y" in the equation x^2 + y^2 = 1^2,

In Cartesian form, the equation is  y = √(1 - x^2)

8 0
4 years ago
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