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2 years ago

Write the number 418,712,909 in word form

Mathematics

1 answer:

nordsb [41]2 years ago

7 0

Four-hundred and eighteen million, seven hundred and twelve thousand and nine hundred and nine

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The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizon

alisha [4.7K]

Answer:

d = 2cot(x) or d = 2/tan(x)

Step-by-step explanation:

The vertical distance from the jet to the top of the house represents the opposite side to the 'x' angle, while the horizontal distance, d, represents the adjacent side. Since we do not know the hypotenuse, the tangent and cotangent functions are the preferable choices:

$tan (x) = \frac{2}{d}\\d = \frac{2}{tan (x) }\\cot (x) = \frac{d}{2} \\d= 2cot(x)$

Therefore, the distance 'd' can be expressed as d = 2cot(x) or d = 2/tan(x).

6 0

3 years ago

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

8 0

3 years ago

an airplane is at an altitude of 1,200 feet. It begins to ascend at a rate of 925 feet per minute. How many minutes will it take

Oksanka [162]

You start by subtracting: 16000-1200= 14800
Then you divide 14800 by how many feet the plane rises per minute
14800/945=16 minutes
The answer is 16 minutes

3 0

2 years ago

Read 2 more answers

Suppose someone tells you that she has a triangle with sides having lengths 3.5, 4.5 and 5.5 yards. Is this a right triangle?

Katarina [22]

You can solve by using Pythagoras theorem.
Let the longest side be c.
a^2 + b^2 = c^2
If this holds, it is a right angle.

But, 3.5^2 + 4.5^2 is not equal to 5.5^2.

5 0

2 years ago

Read 2 more answers

5000 is 1/10 of what

KatRina [158]

The correct answer is 50,000.

Explanation:
We can set up the equation 5000=1/10x to represent this situation.

To solve, we will divide both sides by 1/10:
5000÷(1/10) = (1/10x)÷(1/10)
5000÷(1/10) = x.

To divide fractions, flip the second one and multiply; this gives us
5000*(10/1) = x
50000 = x.

8 0

2 years ago

Read 2 more answers