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e-lub [12.9K]
3 years ago
15

A company with a fleet of 150 cars found that the emissions systems of only 4 out of the 32 they tested failed to meet pollution

control guidelines. The company initially believed that 30% of the fleet was out of compliance. Is this strong evidence the percentage of the fleet out of compliance is different from their initial thought
Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

First, we need to find how many cars out of the entire fleet fail the test

4/32 = x/150

Cross multiply to find x

32x = 150(4)

32x = 600

32x/32 = 600/32

x = 18.75

I'll round it to 19. So 19 out of 150 cars fail the test. Find the percentage of this and compare it to the 30% estimate

19 /150 = 0.127

0.127(100) = 12.7%

12.7% is obviously lower than 30% so yes it is strong evidence the percentage of the fleet out of compliance is different from their initial thought

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Which values are solutions to the inequality below?
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Answer:

A

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Step-by-step explanation:

If you find what 11 squared is: 121

All number greater than or equal to 121 will be solutions.

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They are ratios of two sides of a right triangle and a related angle. Trigonometric functions are typically used to calculate unknown lengths or angles in a right triangle.
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What is meaning of rate?
Alja [10]

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1.a measure, quantity, or frequency, typically one measured against another quantity or measure.

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In a certain soccer tournament you are playing once with each of the other nine teams. In every match you get 3 points if you wi
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Answer:

0.430625=0.431

Step-by-step explanation:

Answer:

0.430625 = 0.431

Step-by-step explanation:

Let W represent winning, D represent a draw and L represent a loss.

12+ points can be garnered in each of the following ways.

6W 0D 0L

5W 1D 0L

5W 0D 1L

4W 2D 0L

4W 1D 1L

4W 0D 2L

3W 3D 0L

The probability of getting 12+ points is the sum of all these 7 probabilities.

Knowing that P(W) = 0.5

P(D) = 0.1

P(L) = 0.4

P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625

P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875

P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075

P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375

P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075

P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15

P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025

The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625

Read more on Brainly.com - brainly.com/question/14850440#readmore

4 0
3 years ago
Find the angle θ between u = <7, –2> and v = <–1, 2>.
Dmitry_Shevchenko [17]

The angle between two vectors is:

CosФ = u - v / Magnitude(u) x magnitude(v)

Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)

Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)

u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11

cosФ = -11 / sqrt(53) x sqrt(5)

cosФ = -11sqrt265) / 265

Ф =cos^-1(-11sqrt265) / 265)

Ф=132.51 degrees.

7 0
3 years ago
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