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aev [14]
3 years ago
13

A NASA spacecraft once landed on the surface of the asteroid named 433 Eros.This asteroid is near Earth and has an average orbit

al speed of 24.36 kilometers per second. What is its speed in meters per second?
Mathematics
1 answer:
Vinvika [58]3 years ago
6 0
It would be 24,360 meters per second
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A small moving box has a volume of 2304 inches cubed and length of 16 inches. The box's width and height are the same. Write the
lisabon 2012 [21]

Answer:

<em>V = 16x² </em>

<em>Width = 12in</em>

<em>Height = 12in</em>

Step-by-step explanation:

Volume of the box is expressed as;

V = Length *Width * height

Given

Length = 16in

Width = x

Height = x

The volume of the box will be expressed as;

V = 16 * x * x

<em>V = 16x² (This gives the required equation)</em>

To get x:

We are given

V = 2304in³

Substitute;

2304 = 16x²

x² = 2304/16

x² = 144

x= √144

x = 12

<em>Hence the width and the height are both 12inches since they are the same.</em>

<em></em>

For the sma

8 0
3 years ago
Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the p
drek231 [11]

Answer:

The probability that <em>X</em> is less than 42 is 0.1271.

Step-by-step explanation:

The random variable <em>X </em>follows a Normal distribution.

The mean and standard deviation are:

E (X) = <em>μ</em> = 50.

SD (X) = <em>σ</em> = 7.

A normal distribution is continuous probability distribution.

The Normal probability distribution with mean µ and standard deviation σ is given by,

f_{X}(\mu, \sigma)=\frac{1}{\sigma\sqrt{2\pi}}e^{-(x-\mu)^{2}/2\sigma^{2}};\ -\infty

To compute the probability of a Normal random variable we first standardize the raw score.

The raw scores are standardized using the formula:

z=\frac{x-\mu}{\sigma}

These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.

Compute the probability of (X < 42) as follows:

P(X

*Use a <em>z</em>-table for the probability.

Thus, the probability that <em>X</em> is less than 42 is 0.1271.

The normal curve is shown below.

6 0
3 years ago
A line parallel to a triangle's side splits AB into lengths of x - 5 and x + 2. The other side, AC, is split into lengths of x a
lorasvet [3.4K]
36 because the 36 is the answer
3 0
3 years ago
Read 2 more answers
What else would need to be congruent to show that triangle ABC equals triangle DEF by AAS​
timofeeve [1]

Answer:

Olha,pirmieiro voce adiciona o AAS com o AABC e depois divide por 2. depois, voce ai ter que simplificar. eu iria simplificar por 2 mas vcque sabe.

Step-by-step explanation:

8 0
3 years ago
If ln(a)=2, ln(b)=3, and ln(c)=5, evaluate the following:<br><br> ln(a^-4/b^1 c^1)
Mila [183]
Ln ( a^(-4) / b^1  c^1 ) =
= ln a ^(-4) - ( ln b + ln c ) =
= - 4 ln a - ln b - ln c =
= - 4 * 2 - 3 - 5 =
= - 8 - 3 - 5 = - 16
4 0
3 years ago
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