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4 years ago

Solve: 3/(m-4)+1/(3(m-4))=6/m help please thank you and show work

1 answer:

5 0

$\frac{3}{m-4} + \frac{1}{3(m-4)} = \frac{6}{m}$
$3m+ \frac{1m}{3}=6(m-4)$
$\frac{10}{3} m=6m-24$
$\frac{-8}{3} m = -24$
$m=9$

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Last year Salma opened an investment account with $8200. At the end of the year the amount in the account had increased by 6.5%.

nikklg [1K]

Answer:

61,500

Step-by-step explanation:

8200 x 6.5 = 53,300 + 8200 = 61,500 = $61,500

3 0

3 years ago

Riley is going to buy a television for $444.50 plus tax. The sales tax is 6.5%.

olga_2 [115]

Answer: 473.39

Step-by-step explanation:

444.50 + 0.065*444.50 = (1 + 0.065)*444.50 = 1.065*444.50 = $473.39

8 0

4 years ago

The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code read

Firlakuza [10]

Answer:

The mean and standard deviation changed to 23.5 and 14.62 respectively, based on all 12 samples.

Step-by-step explanation:

We are given that the Six samples are collected of the number of scanning errors: 36, 14, 21, 39, 11, and 2 errors, per 1,000 scans each.

Representing the data in tabular form;

X $X - \bar X$ $(X - \bar X)^{2}$

36 36 - 20.5 = 15.5 240.25

14 14 - 20.5 = -6.5 42.25

21 21 - 20.5 = 0.5 0.25

39 39 - 20.5 = 18.5 342.25

11 11 - 20.5 = -9.5 90.25

2 2 - 20.5 = -18.5 342.25

Total 1057.5

Now, the mean of these value is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{36+14+21+39+11+2}{6}$

= $\frac{123}{6}$ = 20.5

Standard deviation formula for discrete distribution is given by;

Standard deviation, $\sigma$ = $\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{1057.5 }{6-1} }$ = 14.54

Now, the manager has six more samples taken:

33, 45, 34, 17, 1, and 29 errors, per 1,000 scans each

So, the modified table would be;

X $X - \bar X$ $(X - \bar X)^{2}$

36 36 - 23.5 = 12.5 156.25

14 14 - 23.5 = -9.5 90.25

21 21 - 23.5 = -2.5 6.25

39 39 - 23.5 = 15.5 240.25

11 11 - 23.5 = -12.5 156.25

2 2 - 23.5 = -21.5 462.25

33 33 - 23.5 = 9.5 90.25

45 45 - 23.5 = 21.5 462.25

34 34 - 23.5 = 10.5 110.25

17 17 - 23.5 = -6.5 42.25

1 1 - 23.5 = -22.5 506.25

29 29 - 23.5 = 5.5 30.25

Total 2353

Now, the mean of these value is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{36+14+21+39+11+2+33+45+34+17+1+29}{12}$

= $\frac{282}{12}$ = 23.5

Standard deviation formula for discrete distribution is given by;

Standard deviation, $\sigma$ = $\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{2353 }{12-1} }$ = 14.62

7 0

3 years ago

1. ΔABC and ΔDEF are similar = Given

deff fn [24]

I think the answer is d. The slope of AC=Slope of DF.

Hope this helped☺☺

3 0

3 years ago

Read 2 more answers

Tell whether the angles are adjacent or vertical. Then find the value of x. (Only 4-6)

eduard

Alright, lets get started.

If two angles have common side and they shares common vertex, they are called adjacent angles.

When two lines crosses each other, the opposite angles are called vertical angles as they share same vertex.

Question 4:

Two angles shown in diagram are adjacent as they are on common side.

Both the angles are on a straight line, hence

$x + 109 = 180$

Subtracting 109 from both sides

$x + 109 - 109 = 180 - 109$

$x = 71$ ° : Answer

Question 5:

Both angles shown in diagram are opposite to each other, hence vertical angles.

As they are opposite to each other, they both are equal.

$x+42= 2x + 1$

Subtracting x from both sides

$x + 42 - x = 2x + 1 - x$

$42 = x + 1$

Subtracting 1 from both sides

$42 - 1 = x + 1 - 1$

$x = 41$ ° : Answer

Question 6:

Both angles are having a common side means they are adjacent angles.

As they are on straight line, both angles will add up to 180 °.

$x+96 + 5x = 180$

$6 x + 96 = 180$

Subtracting 96 from both sides

$6x + 96 - 96 = 180 - 96$

$6x= 84$

Dividing from 6 in both sides

$\frac{6x}{6} =\frac{84}{6}$

$x = 14$ ° : Answer

Hope it will help :)

8 0

3 years ago

Read 2 more answers