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3 years ago

7

What is the lowest common multiple of 8 and 12?

1 answer:

8090 [49]3 years ago

3 0

Answer:24

Step-by-step explanation:Least common multiple (LCM) of 8 and 12 is 24.

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If 3 times a square of an integer is added to 1 times the integer, the result is 2

jarptica [38.1K]

Let unknown integer be n.

So then your sentence would translate to 3n² + n = 2.

If you need to solve for n then we can move 2 to left side by subtract both sides by 2:

3n² + n - 2 = 0

Now you can factor:

3n² + 3n -2n - 2 = 0

3n( n + 1 ) - 2( n + 1 ) = 0

( 3n - 2 )( n + 1 ) = 0

3n - 2 = 0 OR n + 1 = 0

3n = 2 OR n = -1

n = 2/3 OR n = -1

Final answer: n = 2/3 OR n = -1

6 0

3 years ago

Listed below is the amount of commissions earned last month for the eight members of the sales staff at Best Electronics. Calcul

Solnce55 [7]

Answer:

0.438

Step-by-step explanation:

Given the data:

980.9, 1036.5, 1099.5, 1153.9, 1409.0, 1456.4, 1718.4, 1721.2

Coefficient of skewness:

3 * (mean - median) / standard deviation

The mean of the dataset :

Σ(X) / N ; N = sample size = 8

980.9+1036.5+1099.5+1153.9+1409.0+1456.4+1718.4+1721.2

= 10575.8 / 8

= 1321.975

Median :

980.9, 1036.5, 1099.5, 1153.9, 1409.0, 1456.4, 1718.4, 1721.2

1/2(n + 1)th term

1/2(9) = 4.5th term

(1153.9+1409.0) / 2

= 1281.45

Standard deviation:

Sqrt[Σ(X - mean)²/ (N - 1)]

Using calculator :

Standard deviation estimate of population = 277.882456

Coefficient of skewness :

3(1321.975 - 1281.45) / 277.882456

121.575 / 277.882456

= 0.4375051

= 0.4375

Using software excel :

Using excel's AVERAGE, MEDIAN and STDEV.P functions, the Coefficient of skewness can be obtained using the formula :

3 * (mean - median) / standard deviation

Coefficient of skewness obtained is 0.438

8 0

2 years ago

Only the smartest person in their math class can help me with this difficult problem!!!

vodomira [7]

Step-by-step explanation:

$\tt{(5 {x}^{3} - 3x + 6) - (2 {x}^{2} - 4x + 8)}$

While subtracting , the sign of each term of second expression changes & remove the parentheses.

⟶ $\tt{5 {x}^{3} - 3x + 6 - 2 {x}^{2} + 4x - 8}$

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

⟶ $\tt{5 {x}^{3} - 3x + 4x + 6 - 8 - 2 {x}}^{2}$

⟶ $\tt{5 {x}^{3} + x - 2 - 2 {x}^{2} }$

In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{5 {x}^{3} - 2 {x}^{2} + x - 2}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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6 0

3 years ago

Read 2 more answers

Plz help, its worth 200 points by today

Leno4ka [110]

Answer:

$X = \sqrt{39}$

Step-by-step explanation:

$1)\ X^2 + 5^2 = Y^2\ (Y\ is\ the\ hypotenuse\ of\ the\ smaller\ triangle)$

$2)\ Y^2 + 6^2 = 10^2$

$3)\ X^2 + 25 + 36 = 100$

$4)\ X^2 = 39$

$5)\ X = \sqrt{39}$

3 0

3 years ago

What if I were to add four odd numbers together is the sum always sometime even or never even

NeX [460]

Your sum would be sometimes even

4 0

3 years ago

Read 2 more answers