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Hitman42 [59]
3 years ago
6

A particular brand of dishwasher soap is sold in three sizes: 25 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a

35-oz box, 50% select a 40-oz box, and the remaining 30% choose a 60-oz box. Let X1 and X2 denote the package sizes selected by two independently selected purchasers.
a. Determine the sampling distribution of X.
b. Determine the sampling distribution of the sample variance S^2.

Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Answer:

Please find solution in the picture attached

Step-by-step explanation:

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The solution to -2[1 - 4x] = 3x + 8 is
kvasek [131]

Answer:  " 14 " .

________________________

     →  " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

________________________

As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

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Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

________________________

 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

________________________

 →  5x/5 = 10/5 ;

to get:

________________________

 →  x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

________________________

Note the given equation:

________________________

   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

___________________________________

5 0
3 years ago
What is the number 277,180 in expanded form
Mashcka [7]
200,000+ 70,000+ 7,000+ 100+ 80
5 0
3 years ago
Read 2 more answers
Magan decides to research the relationship between the length in inches and the
GrogVix [38]

Based on the line of best fit, the length of this catfish can be predicted to be 38 inches.

<u>Given the following data:</u>

  • Weight of catfish, x = 40 pounds.

<h3>What is a line of best fit?</h3>

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.

From the graph of the data, we have the following linear equation:

y=\frac{1}{2} x+18

Substituting the value of x, we have:

y=(\frac{1}{2} \times 40 )+18\\\\y=20+18

y = 38 inches.

Read more on scatterplot here: brainly.com/question/6592115

3 0
2 years ago
Answer for brainliest!!!! YOU CAN DO IT!!!
laiz [17]

what is the question pls.

can you pls tell me

3 0
4 years ago
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six packs of 90 piece of candy all bags have exactly the same number of pieces of candy how many bags hold 195 piece of candy
artcher [175]
21.6

Hope it works :)
3 0
3 years ago
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