The distance between Earth and Mars is about 4.8732 × 107 miles. What is the standard written form of this distance?

1 answer:

7 0

I believe the form you mean is

4.8732 x $10^{7}$

Well move the decimal point of the 4.8732...7 places to the right.

48,732,000

Now find that answer.

The answer is A.

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Write the equation of the line through each point.

Leya [2.2K]

Answer:

The equation would be y = -1/3x + 4

Step-by-step explanation:

The first step to finding this equation needs to be solving the first equation for y so that we can find the slope.

-3x + y = 1

y = 3x + 1

Now that we have the slope of 3, we know the slope of a perpendicular line would be -1/3. This is because perpendicular lines have opposite and reciprocal slopes. We can then use this and the point to solve in point-slope form.

y - y1 = m(x - x1)

y - 2 = -1/3(x - 6)

y - 2 = -1/3x + 2

y = -1/3x + 4

5 0

3 years ago

If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?

Ipatiy [6.2K]

Answer:

$P(X$

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

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 of interest for a population, and for this case we know the distribution for X is given by:

$X \sim N(5.43,0.54)$