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Lunna [17]
3 years ago
13

Which relation is a function ?

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

Answer:

Bottom left

Step-by-step explanation:

If you can draw a vertical line through a graph and touch only one point, the relation is a function.

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an indy car driver has to be a certain height to fit into the race car. The following inequality 175<=3x-17<=187, where x
enot [183]

Given inequality : 175 ≤ 3x-17 ≤ 187, where x represents the height of the driver in inches.

Let us solve the inequality for x.

We have 17 is being subtracted in the middle.

Reverse operation of subtraction is addition. So, adding 17 on both sides and also in the middle, we get

175+17 ≤ 3x-17+17 ≤ 187+17

192  ≤ 3x ≤ 204.

Dividing by 3.

192/3  ≤ 3x/3 ≤ 204/3.

64 ≤ x ≤ 68.

Therefore, the height of the driver should be from 64 to 68 inches  to fit into the race car.

8 0
3 years ago
What is the answer<br> 80+60w
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Answer:140W

Step-by-step explanation:

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3 years ago
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W + 15 = 29 <br> w=___ ?? HELP
kykrilka [37]

Answer:

w=14

Step-by-step explanation:

29-15=14

7 0
2 years ago
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I toss an unfair coin 12 times. This coin is 65% likely to show up heads. Calculate the probability of the following.
mars1129 [50]

Answer:

a. 0.0368

b. 0.99992131

c. 0.2039

d. 0.0048

e. 0.6533

Step-by-step explanation:

Let the probability of obtaining a head be p = 65% = 13/20 = 0.65. The probability of not obtaining a head is q = 1 - p = 1 -13/20 = 7/20 = 0.35

Since this is a binomial probability, we use a binomial probability.

a. The probability of obtaining 11 heads is ¹²C₁₁p¹¹q¹ = 12 × (0.65)¹¹(0.35) = 0.0368

b. Probability of 2 or more heads P(x ≥ 2) is

P(x ≥ 2) = 1 - P(x ≤ 1)

Now P(x ≤ 1) = P(0) + P(1)

= ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹

= (0.65)⁰(0.35)¹² + 12(0.65)¹(0.35)¹¹

= 0.000003379 + 0.00007531

= 0.0007869

P(x ≥ 2) = 1 - P(x ≤ 1)

= 1 - 0.00007869

= 0.99992131

c. The probability of obtaining 7 heads is ¹²C₇p⁷q⁵ = 792(0.65)⁷(0.35)⁵ = 0.2039

d. The probability of obtaining 7 heads is ¹²C₉q⁹p³ = 220(0.65)³(0.35)⁹ = 0.0048

e. Probability of 8 heads or less P(x ≤ 8) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰ + ¹²C₃p³q⁹ + ¹²C₄p⁴q⁸ + ¹²C₅p⁵q⁷ + ¹²C₆p⁶q⁶ + ¹²C₇p⁷q⁵ + ¹²C₈p⁸q⁴

= = ¹²C₀(0.65)⁰(0.35)¹² + ¹²C₁(0.65)¹(0.35)¹¹ + ¹²C₂(0.65)²(0.35)¹⁰ + ¹²C₃(0.65)³(0.35)⁹ + ¹²C₄(0.65)⁴(0.35)⁸ + ¹²C₅(0.65)⁵(0.35)⁷ + ¹²C₆(0.65)⁶(0.35)⁶ + ¹²C₇(0.65)⁷(0.35)⁵ + ¹²C₈(0.65)⁸(0.35)⁴

= 0.000003379 + 0.00007531 + 0.0007692 + 0.004762 + 0.01990 + 0.05912 + 0.1281 + 0.2039 + 0.2367

= 0.6533

3 0
3 years ago
Find the surface area of the cone to the nearest tenth.
vfiekz [6]
Surface area = base area + side area

= pi * 7^2 + pi * 7 * 27 = 238pi = 747.7 cm^2
7 0
3 years ago
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