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3 years ago

16. Geography If a ship sailed due south from Iceland to Antarctica, it would sail

Mathematics

1 answer:

never [62]3 years ago

5 0

Answer:

9674.28 miles

Step-by-step explanation:

From the above question, we are given:

Central angle = 140°

Radius = 3960 miles

We are to solve for the distance = Arc length

The formula for Arc length when your central angle is in radians

r × θ

θ = 140°

Converting 140° to radians

140° × π/180 = 2.443rad

Hence,

3960 × 2.443 rad

= 9674.28 miles

The ship would travel 9674.28 miles.

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PLEASE a help me (pre algebra)

irakobra [83]

Answer:

it's in order

1. j: 71

2. j: 16

3. j: 10

4. j: 68

5. j: 61

4 0

3 years ago

Read 2 more answers

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{236100}{8} = 29512.5$

Sum of squares of differences = 3408750

$S.D = \sqrt{\frac{3408750}{7}} = 697.82$

Population mean, μ = $30,000

Sample mean, $\bar{x}$ = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

Now,

$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0

4 years ago

Tyler's height is 57 inches. What could be his height in centimeters? Explain your resoning. Nost: 1 inch=2.54 centimeters

AfilCa [17]

Answer:

Tyler's height in centimeters is, 144.78 centimeters.

Step-by-step explanation:

Given the statement: Tyler's height is 57 inches.

To find his height in centimeters.

Using the conversion:

$1 {\tex}inch = 2.54 {\tex}centimeters$

Proportion states that the two ratios or fraction are equal.

Using proportion method:

$\frac{1}{57} = \frac{2.54}{x}$

By cross multiply, we get

$x = 57 \times 2.54 = 144.78$ centimeters.

therefore, his height in centimeter is, 144.78 inches.

4 0

3 years ago

Mrs. Smith’s class measured the amount of rainfall each month during the school year. If the minimum rainfall was 1.7 centimeter

lisov135 [29]

The midpoint is the middle, which is the average. So you would do 6.9+1.7 which is 8.6 then divide it by 2, giving you the answer 4.3.

4.3 inches of rainfall is the midpoint

5 0

3 years ago

Please help! Mathematics

weeeeeb [17]

Answer:

y = 2

Step-by-step explanation:

Kindly view the attached image to see the rules when looking for the horizontal asymptote.

In this situation we have 2x² / x²

The powers of both are equal to each other therefore the horizontal asymptote will be at the coefficient of the numerator divided by the coefficient of the denominator.

In other words the horizontal asymptote is at y = 2/1 or just 2

7 0

2 years ago