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4 years ago

Write an equation, in slope-intercept form using the given info. (5, 4) m= -2/3

Mathematics

1 answer:

ELEN [110]4 years ago

8 0

Answer:

y = -2/3x + 22/3

Step-by-step explanation:

An equation is written in slope-intercept form when it is written as:

y = mx + b, where m is the slope of the line and b is the y-intercept.

Therefore, because we are given m and a coordinate pair of the line, we can use the point-slope formula to make the equation.

The point-slope formula is $\boxed{y-y_{1}=m(x-x_{1})}$ .

Because we are given only one coordinate pair, it is labeled as $(x_{1}, y_{1})$ .

Now, just plug in this information and solve the equation.

y - 4 = -2/3(x - 5) Distribute the -2/3 throughout the terms.

y - 4 = -2/3x + 10/3 Add 4 to both sides of the equation.

y = -2/3x + 22/3

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A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4

skad [1K]

Answer:

a) $\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

b) The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

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Jason is tossing a fair coin. He tosses the coin ten times and it lands on heads eight times. If Jason tosses the coin an eleven

nikdorinn [45]

:Jason is tossing a fair coin. He tosses the coin ten times and it lands on heads eight times. If Jason tosses the coin an eleventh time, what is the probability that it will land on heads?
Solution:

The probability would be ½. The result of the eleventh toss does not depend on the previous
results.

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Answer:

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Step-by-step explanation:

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Answer:

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