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sleet_krkn [62]
3 years ago
8

Weather forecasts are based on a weather forecaster's judgment on which one of a number of scenarios is likely to happen. Each s

cenario, in turn, is based on a prediction on what may happen in the future given conditions that almost always change in unexpected ways. Thus, it is difficult to trust weather forecasts.
Which of the following statements best expresses the main conclusion of the above argument?

1. Conditions almost always change in unexpected ways.

2. Weather forecasts are difficult to trust

3. Weather forecasts are based on a number of potential scenarios.
Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:

2. Weather forecasts are difficult to trust

Step-by-step explanation:

Words like thus are preliminar to a conclusion, that is, we use words like thus when we are going to conclude something.

For Example:

The New Englard Patriots have won 6 Super Bowls. Thus, the New England Patriots are a good NFL franchise.

The conclusion is that the Patriots are a good NFL franchise.

In this problem, we have that:

Thus, it is difficult to trust weather forecasts.

The conclusion is:

2. Weather forecasts are difficult to trust

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A random sample of 16 statistics examinations was taken. The average sample score was 76.2 with a sample variance of 144. The 99
dlinn [17]

99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

<h3>What is the margin of error in statistics?</h3>

The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

The interval will be calculated as below:-

Confidence interval = mean +/- margin of error (E)

mean = 76.2

variance = 144

sd = sqrt(variance) = sqrt(144) = 12

n = 16

Degree of freedom (df) = n - 1 = 16- 1 = 15

Confidence level (C) = 99% = 0.99

Significance level = 1 - C = 1 - 0.99 = 0.01 = 1%

t-value corresponding to 15 df and 1% significance level is 2.95

The margin of error will be:-

E = t×sd/√n = 2.95 ×  12/√16 = 8.85

The interval will be:-

Lower limit = mean - E = 76.2 - 8.85 = 67.35

Upper limit = mean + E = 76.2 + 8.85 = 85.05

Therefore, the 99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

To know more about margin of error follow

brainly.com/question/24289590

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4 0
2 years ago
Preparing a tax return yourself can be less expensive, but individuals not familiar with preparing taxes may miss eligible deduc
slava [35]

This is a true statement if the question's asking if it's true or false. hope this helps


5 0
3 years ago
Read 2 more answers
Match the equations with their solutions over the interval [0, 2π].
nignag [31]

I solved this using a scientific calculator and in radians mode since the given x's is between 0 to 2π. After substitution, the correct pairs are:

cos(x)tan(x) – ½ = 0 → π/6 and 5π/6

cos(π/6)tan(π/6) – ½ = 0

cos(5π/6)tan(5π/6) – ½ = 0

 

sec(x)cot(x) + 2 = 0 → 7π/6 and 11π/6

sec(7π/6)cot(7π/6) + 2 = 0

sec(11π/6)cot(11π/6) + 2 = 0

 

sin(x)cot(x) + 1/sqrt2 = 0 → 3π/4 and 5π/4

sin(3π/4)cot(3π/4) + 1/sqrt2 = 0

sin(5π/4)cot(5π/4) + 1/sqrt2 = 0

 

csc(x)tan(x) – 2 = 0 → π/3 and 5π/3

csc(π/3)tan(π/3) – 2 = 0

csc(5π/3)tan(5π/3) – 2 = 0

5 0
4 years ago
Read 2 more answers
What is the value of a? 5 units 5 and one-third units 6 and two-thirds units 7 units
blagie [28]

The missing figure is attached

The value of a is 5\frac{1}{3} ⇒ 2nd answer

Step-by-step explanation:

Let as revise the Pythagoras Theorem

In the right triangle ABC, where ∠B is a right angle (AC is the hypotenuse, Ab and BC are the legs of the right angle)

  • (AC)² = (AB)² + (BC)²
  • (AB)² = (AC)² - (BC)²
  • (BC)² = (AC)² - (AB)²

If BD is drawn perpendicular to AC, we can use these rules

  • (AB)² = AD × AC
  • (BC)² = CD × AC
  • (BD)² = AD × CD
  • AB × BC = BD × AC

In Δ WYZ

∵ m∠WYZ = 90°

- By using Pythagoras Theorem

∴ (WZ)² = (WY)² + (YZ)²

∵ WY = 4 units

∵ YZ = 3 units

∵ WZ = c units

∴ c² = (4)² + (3)²

∴ c² = 16 + 9 = 25

- Take √ for both sides

∴ c = 5

In Δ XWZ

∵ m∠XWZ = 90°

∵ WY ⊥ XZ

- We can use the rule (WZ)² = ZY × ZX

∵ (WZ)² = ZY × ZX

∵ WZ = 5 units

∵ ZY = 3 units

∵ ZX = (3 + a) units

∴ (5)² = 3(3 + a)

∴ 25 = 9 + 3a

- Subtract 9 from both sides

∴ 16 = 3a

- Divide both sides by 3

∴ a = 5\frac{1}{3}

The value of a is 5\frac{1}{3}

Learn more:

You can learn more about the rules of the right triangle in brainly.com/question/14390928

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6 0
3 years ago
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It takes 24 megabytes to store 144 songs on a music player. What is the greatest number of songs that 60 megabytes could store?
givi [52]

Option B

We can store a total of 360 songs in 60 megabytes of space.

<u>Solution:</u>

It is given to us that It takes 24 megabytes to store 144 songs on a music player. We have been asked to find out what is the greatest number of songs that 60 megabytes could store.

To solve this question we can use the unitary method.  

We will first find out how many songs can be stored in 1 megabyte. This can be done as follows:

=\frac{144}{24}=6

Therefore, we can store 6 songs in 1 megabyte.

So, in 60 megabyte we can store the following number of songs:

=60 \times 6=360

So, we can store a total of 360 songs in 60 megabytes.

8 0
4 years ago
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