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Kay [80]
3 years ago
8

The crew of a spaceship search for a missing shuttle craft for 1000 miles in every direction from their position how many cubic

miles of space will search
Mathematics
1 answer:
Semmy [17]3 years ago
7 0

Answer:

4,188,790,200 cubic miles to the nearest hundred.

Step-by-step explanation:

That will be the volume of an imagined sphere with radius 1000 miles.

= 4/3 * pi * (1000)^3

= 4,188,790,200  cubic miles.

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Mode = number which appears the most

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The answer is 58 and 39
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The owner of Matt’s Gas Station wants to study gasoline purchases of customers at his station. In 2017, the mean amount of gas
gulaghasi [49]

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 9

For the alternative hypothesis,

µ ≠ 9

This is a 2 tailed test

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 9

x = 9.9

σ = 2.5

n = 50

z = (9.9 - 9)/(2.5/√50) = 2.55

Looking at the normal distribution table, the probability corresponding to the area above the z score is 1 - 0.99461 = 0.00539

Recall, population mean is 9

The difference between sample sample mean and population mean is 9.9 - 9 = 0.9

Since the curve is symmetrical and it is a two tailed test, the x value for the left tail is 9 - 0.9 = 8.1

the x value for the right tail is 9 + 0.9 = 9.9

These means are higher and lower than the null mean. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area. We already got the area above the z score as z = 0.00539

We would double this area to include the area in the left tail of z = - 2.55. Thus

p = 0.00539 × 2 = 0.01078

Since alpha, 0.01 < 0.01078, we would reject the null hypothesis

But we are told to use the critical value approach, then

Since α = 0.01, the critical value is determined from the normal distribution table.

For the left, α/2 = 0.01/2 = 0.005

The z score for an area to the left of 0.005 is - 2.575

For the right, α/2 = 1 - 0.005 = 0.995

The z score for an area to the right of 0.995 is 2.575

In order to reject the null hypothesis, the test statistic must be smaller than - 2.575 or greater than 2.575

Since - 2.55 > - 2.575 and 2.55 < 2.575, we would reject the null hypothesis. This corresponds to our previous decision.

b) we would assume normal distribution because the sample size is sufficiently large and the population standard deviation is known.

c) Confidence interval is written in the form,

(Sample mean ± margin of error)

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

The z score for confidence level of 99% is 2.58

Margin of error = 2.58 × 2.5/√50 = 0.91

Confidence interval = 9.9 ± 0.91

The lower end of the confidence interval is

9.9 - 0.91 = 8.99

Therefore, p = 9 will be contained in the interval.

4 0
2 years ago
Use the pattern below for questions 6 - 8.
Yuliya22 [10]

Answer:

See below

Step-by-step explanation:

<u>The sequence given</u>

  • 6, 19, 58, 175

<u>We see the pattern: triple the previous term plus 1</u>

  • 2) 19 = 6*3 + 1
  • 3) 58 = 19*3 + 1
  • 4) 175 = 58*3 + 1

<u>Next two terms</u>

  • 5) 175*3 + 1 = 526
  • 6) 526*3 + 1 = 1579

<u>Following two terms</u>

  • 7) 1579*3 + 1 = 4738
  • 8) 4738*3 + 1 = 14215

4 0
3 years ago
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