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Alinara [238K]
2 years ago
8

Use the game spinner for questions 1-4. In your final answer, include all necessary calculations.

Mathematics
1 answer:
IrinaVladis [17]2 years ago
3 0

Answer:

P (Even number)  =  1/2

P(spinner will land on an odd number) = 1/2

P(spinner will not land on 2 or 3)  = 3/4

P(spinner will not land on a multiple of 3)  = 3/4

Step-by-step explanation:

Here, while spinning the spinner total possible outcomes

are 8 = {1,2,3,4,5,6,7,8}

Now, \textrm{P(E)}  = \frac{\textrm{Number of favorable outcomes }}{\textrm{Total numberof outcomes}}

a) E: Probability of getting even number

Favorable outcomes are {2,4,6,8}

Hence, P(E) = \frac{4}{8}  = \frac{1}{2}

b)E: Probability  that the spinner will land on an odd number.

Favorable outcomes are {1,3,5,7}

Hence, P(E) = \frac{4}{8}  = \frac{1}{2}

c) E: Probability  that the spinner will not land on 2 or 3

Favorable outcomes are {1, 4,5,6,7,8}

Hence, P(E) = \frac{6}{8}  = \frac{3}{4}

d) E: Probability  that the spinner will not land on a multiple of 3

Favorable outcomes are {1,2,4,5,7,8}

Hence, P(E) = \frac{6}{8}  = \frac{3}{4}

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A zip line is setup 150ft in the air, where a person can expect to zip line at a safe declining speed to the ground as they pass
hichkok12 [17]

Answer:

139 ft

Step-by-step explanation:

So the zip line forms a right triangle.  The height of the triangle is 150 ft, and the opposite angle is 40°.  The horizontal distance covered by the zip liner can be found with trigonometry, specifically with tangent.

tan 40° = 150 / x

x = 150 / tan 40°

x ≈ 179 feet

But this includes the 40 ft long body of water, so the amount of ground covered is:

179 ft - 40 ft = 139 ft

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3 years ago
Emily meal cost 32.75 and Darren's meal cost 39.88 . Emily treats Darren by paying for both meals,and leaves 14% tip. Find the t
tia_tia [17]
32.75 + 39.88   = 72.63

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114%  is all of the cost of the meal plus 14 % extra for the tip.  See how muliplying by 1.14 includes the $72.63  (this saves the step of adding it on at the end if you were only to find 14% of $72.63)
8 0
3 years ago
a house purchased for 170828 is worth $73828 after 12 years. assuming that the house's value depreciated the same amount from ye
sattari [20]

Answer:

After four years the house was worth $128,891.03

Step-by-step explanation:

170828(x)^12 = 73828

solve for x

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plug in x and change into function and substitute 4 for 12 because it's 4 years

170828(0.932)^4

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8 0
2 years ago
Read 2 more answers
Evaluate the six trigonometric functions of the angle 0<br><br><br><br>is right<br>​
antiseptic1488 [7]

Answer:

1. Sine θ = 1/3

2. Cos θ = 2√2 / 3

3. Tan θ = √2 / 4

4. Cosec θ = 3

5. Sec θ = 3√2 / 4

6. Cot θ = 2√2

Step-by-step explanation:

We'll begin by determining the adjacent. This can be obtained as follow:

Hypothenus (Hypo) = 9

Opposite (Opp) = 3

Adjacent (Adj) =?

Hypo² = Adj² + Opp²

9² = Adj² + 3²

81 = Adj² + 9

81 – 9 = Adj²

72 = Adj²

Take the square root of both side

Adj = √72

Adj = 6√2

Finally, we shall determine six trigonometric functions of the angle θ. This Can be obtained as follow:

1. Determination of Sine θ

Hypothenus = 9

Opposite = 3

Sine θ =?

Sine θ = Opposite / Hypothenus

Sine θ = 3/9

Sine θ = 1/3

2. Determination of Cos θ

Adjacent = 6√2

Hypothenus = 9

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = 6√2 / 9

Cos θ = 2√2 / 3

3. Determination of Tan θ

Opposite = 3

Adjacent = 6√2

Tan θ =?

Tan θ = Opposite / Adjacent

Tan θ = 3 / 6√2

Tan θ = 1 / 2√2

Rationalise

(1 / 2√2) × (2√2 /2√2)

= 2√2 / 4×2

Tan θ = √2 / 4

4. Determination of Cosec θ

Sine θ = 1/3

Cosec θ =?

Cosec θ = 1 / Sine θ

Cosec θ = 1 ÷ 1/3

Cosec θ = 1 × 3/1

Cosec θ = 3

5. Determination of sec θ

Cos θ = 2√2 / 3

Sec θ =?

Sec θ = 1 / Cos θ

Sec θ = 1 ÷ 2√2 / 3

Sec θ = 1 × 3 / 2√2

Sec θ = 3 / 2√2

Rationalise

= (3 / 2√2) × (2√2 / 2√2)

= 3 × 2√2 / 4×2

Sec θ = 3√2 / 4

6. Determination of Cot θ

Tan θ = √2 / 4

Cot θ =?

Cot θ = 1 / Tan θ

Cot θ = 1 ÷ √2 / 4

Cot θ = 1 × 4 / √2

Cot θ = 4 / √2

Rationalise

= (4 / √2) × (√2 / √2)

= 4√2 / 2

Cot θ = 2√2

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Answer:

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