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PolarNik [594]
3 years ago
12

Three boxes of supplies have an average (arithmetic mean) weight of 7 kilograms and a median weight of 9 kilograms. What is the

maximum possible weight, in kilograms, of the lightest box
Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

Answer:

3

Step-by-step explanation:

A) 1

(B) 2

(C) 3

(D) 4

(E) 5

Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of numbers / number of observation

sum of numbers = 3 x 7 = 21

Median is the number that is at the center or middle of a set of obervations

x +  9+ y = 21

x= lowest number

y = highest number

x + y = 21 - 9

x + y = 12

If x = 1 y = 11

if x = 2 y = 10

if x = 3 y = 9

if x = 4 y = 8

the first 3 are plausible and the median would still be 9 if x = 4, median would be 8

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Answer:

%93

Step-by-step explanation:

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83/90=.93

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The product of two factors is 18x+45.what are the factors
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4 years ago
the equation -2x^2+3=-9x is rewritten in the form of -2(x-p)^2 +q=0. What is the value of q?the equation -2x^2+3=-9x is rewritte
Novosadov [1.4K]

Value of q is \frac{105}{8} .

<u>Step-by-step explanation:</u>

We have , the equation -2x^2+3=-9x is rewritten in the form of -2(x-p)^2 +q=0 . We need to find What is the value of q . Let's find out:

Let's simplify equation -2x^2+3=-9x into -2(x-p)^2 +q=0 :

⇒ -2x^2+3=-9x

⇒ -2x^2+9x+3=0

⇒ 2x^2-9x=3

⇒ 2(x^2-\frac{9}{2}x)=3

⇒ (x^2-\frac{9}{2}x)=\frac{3}{2}

⇒ (x^2-2(1)\frac{9}{4}x)=\frac{3}{2}

⇒ (x^2-2(1)\frac{9}{4}x) + (\frac{9}{4})^2=\frac{3}{2} + (\frac{9}{4})^2

⇒ (x-\frac{9}{4})^2=\frac{3}{2} + (\frac{81}{16})

⇒ (x-\frac{9}{4})^2=\frac{24}{16} + (\frac{81}{16})

⇒ (x-\frac{9}{4})^2=\frac{105}{16}

⇒ -2(x-\frac{9}{4})^2=-2(\frac{105}{16})

⇒ -2(x-\frac{9}{4})^2=-\frac{105}{8}

⇒ -2(x-\frac{9}{4})^2+\frac{105}{8} = 0

Comparing this equation to -2(x-p)^2 +q=0 , q =\frac{105}{8} .

Therefore ,Value of q is \frac{105}{8} .

8 0
3 years ago
What is j equal to in 1 2/3j=15
Vladimir [108]

Answer:90

Step-by-step explanation:One solution was found :

                  j = 90

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    1/2/3*j-(15)=0  

Step by step solution :

Step  1  :

           1

Simplify   —

           2

Equation at the end of step  1  :

  1              

 (— ÷ 3 • j) -  15  = 0  

  2              

Step  2  :

        1      

Divide  —  by  3

        2      

Equation at the end of step  2  :

  1          

 (— • j) -  15  = 0  

  6          

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  6  as the denominator :

         15     15 • 6

   15 =  ——  =  ——————

         1        6    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

j - (15 • 6)     j - 90

————————————  =  ——————

     6             6    

Equation at the end of step  3  :

 j - 90

 ——————  = 0  

   6    

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 j-90

 ———— • 6 = 0 • 6

  6  

Now, on the left hand side, the  6  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  j-90  = 0

Solving a Single Variable Equation :

4.2      Solve  :    j-90 = 0  

Add  90  to both sides of the equation :  

                     j = 90

One solution was found :

                  j = 90

8 0
4 years ago
Read 2 more answers
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