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3 years ago

Write the equation of the line that passes through the points (-1,3) and (-6, -7).

Mathematics

1 answer:

salantis [7]3 years ago

7 0

Answer:

y - 3 = 2(x + 1)

Step-by-step explanation:

First, use rise over run to find the slope

(y2 - y1) / (x2 - x1)

(3 + 7) / (-1 + 6)

10 / 5

= 2

Now, plug in the slope and a point into the point slope formula:

y - y1 = m(x - x1)

y - 3 = 2(x + 1)

So, the equation in point slope form is y - 3 = 2(x + 1)

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Help me find Sample variance and standard deviation

AnnZ [28]

First, find the mean. You'll need it to compute the variance.

$\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11$

The variance of the sample is then computed with the formula

$s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5$

The standard deviation is the square root of the variance, so

$s=\sqrt{35.5}\approx5.958$

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3 years ago

Please help asap for brainleist

boyakko [2]

Answer:

54.25%

Step-by-step explanation:

The percent change is given by:

$p=\frac{final-initial}{initial}$ × $100$

Plugging all the values,

$p=\frac{94-43}{94}$ × $100$

$P=54.25%$ %

Therefore, the percent change from 94 to 43 is 54.25%

6 0

3 years ago

during the new year celebration there are orange, green purple, and blue fireworks. In how many different orders can the differe

WINSTONCH [101]

There are 256 possible combinations of fireworks, if they can be repeated in each 4 firework combinations.
If they cannot be repeated, there are 24 possible combinations.

7 0

3 years ago

If the greatest value the variable n can be is 6, which of the following inequalities best shows all the possible values of n?

Hunter-Best [27]

<span>The answer has to be "n ≤ 6" because the greatest "n" CAN be is 6, so "n can=6", but it can also be smaller.</span>

5 0

3 years ago

Read 2 more answers

4 men and 6 boys can finish a piece work in 5 days while 3 men and 4 boys can finish it in 7 days. find the time taken by 1 man

Anon25 [30]

Answer:

Number of days taken by 1 man alone and 1 boy alone are 35 days and 70 days respectively.

Step-by-step explanation:

Let, the work completed by 1 man in 1 day = x and the work completed by 1 boy in 1 day = y.

So, 4 men and 6 boy's 1 day work is $\frac{4}{x}$ and $\frac{6}{y}$

And, 3 men and 4 boy's 1 day work is $\frac{3}{x}$ and $\frac{4}{y}$

Since, 4 men and 6 boys complete the work in 5 days and 3 men and 4 boys complete the work in 7 days.

So, we have,

$\frac{4}{x}+\frac{6}{y}=\frac{1}{5}$

$\frac{3}{x}+\frac{4}{y}=\frac{1}{7}$

Let, $u=\frac{1}{x}$ and $v=\frac{1}{y}$

So, the equations are,

$4u+6v=\frac{1}{5}$ ................(1)

$3u+4v=\frac{1}{7}$ ................(2)

Multiply (1) by 3 and (2) by 4 and subtract the equations, we get,

$2v=\frac{1}{35}$ i.e. $v=\frac{1}{70}$ i.e. $\frac{1}{y}=\frac{1}{70}$ i.e. y = 70.

Substitute value of 'v' in (1) gives,

$4u+\frac{6}{70}=\frac{1}{5}$ i.e. $4u=\frac{-6}{70}+\frac{1}{5}$ i.e. $4u=\frac{8}{70}$ i.e. $u=\frac{8}{70\times 4}$ i.e. $u=\frac{1}{35}$ i.e. $\frac{1}{x}=\frac{1}{35}$ i.e. x = 35

So, the number of days taken by 1 men alone and 1 boy alone are 35 days and 70 days respectively.

4 0

4 years ago