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Pachacha [2.7K]
3 years ago
7

I think of a number ÷ 4 and add 11 result is 19 find the number​

Mathematics
2 answers:
Mrac [35]3 years ago
7 0

Answer:

32

Step-by-step explanation:

Let the number be 'x'

\dfrac{x}{4}+11=19

Subtract 11 from both sides

\dfrac{x}{4}=19 - 11\\\\\dfrac{x}{4}=8\\

Multiply both sides by 4

x = 8*4

x = 32

coldgirl [10]3 years ago
6 0

Answer:

32

Step-by-step explanation:

work backwards, 19-11=8 then x 4 makes 32.

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What is the product?<br>-9x(5-2x)<br>18x?-45x<br><br>-18x2 - 45%<br>-18x -45<br>18x – 45x​
bekas [8.4K]

Answer:324x^3-828x^2-63x+-9\20

Step-by-step explanation:

8 0
3 years ago
What are the dimensions of the matrix?
salantis [7]

The order of a matrix is m×n where m is the number of rows and n is the number of columns.

can you count and find what are m and n here?

6 0
3 years ago
In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0
kolbaska11 [484]

Answer:

Q_3 = 56.45 --- The third quartile

Var = 370.18 -- Variance

Step-by-step explanation:

Given

Q_1  =  30.8 -- First quartile

Q_2 =  48.5 --- Median

\bar x = 42 --- Mean

Skp = -0.38 --- Coefficient of skewness

Solving (9): The third quartile Q_3

This is calculated from

Skp =  \frac{Q_1   + Q_3  - 2Q_2}{Q_3 - Q_1}

So, we have:

-0.38 =  \frac{30.8 + Q_3- 2*48.5}{Q_3 - 30.8}

Cross Multiply

-0.38 (Q_3 - 30.8)=  30.8 + Q_3- 2*48.5

Open bracket

-0.38Q_3 + 11.704=  30.8 + Q_3- 97.0

Collect like terms

-0.38Q_3 -Q_3=  30.8 - 97.0- 11.704

-1.38Q_3=  -77.904

Divide both sides -1.38

Q_3 = \frac{-77.904}{-1.38}

Q_3 = 56.45 --- approximated

Solving (b): The variance

First, calculate the standard deviation from:

3IQR  = 4SD

IQR= Q_3 - Q_1

So:

3IQR  = 4SD

3(Q_3 - Q_1) = 4SD

Make SD the subject

SD = \frac{3}{4}(Q_3 - Q_1)

SD = \frac{3}{4}(56.45 - 30.8)

SD = \frac{3}{4}*25.65

SD = \frac{3*25.65}{4}

SD = \frac{76.95}{4}

SD = 19.24

So, the variance is:

Var = SD^2

Var = 19.24^2

Var = 370.18

5 0
3 years ago
What's the square footage of a rectangle 4ft by 6ft
KengaRu [80]
The square footage would be 24 feet.
7 0
4 years ago
Factor this trinomial completely. -12x^2+45x+12
Amanda [17]

Step-by-step Answer:

Step 1:

Extract factor(s) common to all terms.

In this case, the HCF is 3, so the expression is written

-12x^2+45x+12 = -3(4x^2-15x-4)

The negative sign was also exrracted to give a positive leading coefficient, which is easier to work with.

Step 2, group the coefficient in such a way that there is a common factor.

Leaving the factor -4 for the moment, and concentrate on the coefficients in parentheses, write the original expression as

4x^2 - 15x -4  

= 4x^2 -16x

          +   x -4

= 4x*(x-4) + 1*(x-4)

extract (x-4) as a common factor

= (x-4)(4x+1)

Step 3:

Combine all the factors to get

-3(x-4)(4x+1)

=3(4-x)(4x+1)

as the complete factoring of the given expression.

5 0
3 years ago
Read 2 more answers
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