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3 years ago

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Starting with the standard form of an equation ax + by = c, solve this expression for y in terms of a, b, c, and x. then put the

expression in slope-intercept form

1 answer:

Vika [28.1K]3 years ago

4 0

Ax+by=c
a=(-by+c)/x
b=(-ax+c)/x
c=ax+by
x=(-by+c)/a
y=(-ax+c)/b. or y= -a/b x + c/b which is slope intercept form

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Find the Mean from the line plot. Show your work and explain how you solved using First, Next, and Last.

Musya8 [376]

Answer:

mean is 5

Step-by-step explanation:

<h2>MEAN</h2>

mean is regarded as the average number of items

<h3>mean formula:</h3>

<em>(sum of terms) / (number of terms)</em>

<h3><u /></h3><h3><u>Firstly</u></h3>

the numbers in the data set are :

3,3,3,4,6,6,7,8

they are already arranged in order, so no need to rearrange.

<h3><u>Next </u></h3>

add the numbers together to find the total :

3 +3 +3 +4 +6+ 6+7 +8

= 40

ALSO,

find how many number of terms they are --- this is 8

Last

use the mean formula to solve :

<em>(sum of terms) / (number of terms)</em>

= 40/8

= 5

<h3><em><u>the mean is the 5 </u></em></h3>

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3 years ago

Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 p

posledela

Answer:

<em>P=0.0000037</em>

<em>P=0.00037%</em>

Step-by-step explanation:

<u>Probability</u>

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

$\displaystyle \frac{4}{52}=\frac{1}{13}$

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

$\displaystyle \frac{3}{51}=\frac{1}{17}$

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

$\displaystyle \frac{2}{50}=\frac{1}{25}$

Finally, the probability of getting the remaining ace out of the 49 cards is:

$\displaystyle \frac{1}{49}$

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

$\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}$

$\displaystyle P= \frac{1}{270,725}$

P=0.0000037

P=0.00037%

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Answer:

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Step-by-step explanation:

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