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Juliette [100K]
2 years ago
6

At the grocery store there are two different options for buying Coke. You can buy a 12 pack for $5.49 or an 18 pack for $8.59. W

hich is the best buy? Justify your answer​
Mathematics
1 answer:
baherus [9]2 years ago
3 0

Step-by-step explanation:

The 18 Pack why is because it has more Coke than the other one and it is less expensive than the other one if it had 18.

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What is the value of the expression 3x-8y when x=10 and y=2?
Greeley [361]

Answer:

14

Step-by-step explanation:

3x-8y

(3*10)-(8*2)

30-16

14

7 0
3 years ago
Read 2 more answers
Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semeste
lidiya [134]

Answer:

E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74In order to find the variance we need to calculate first the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36And the variance is given by:

Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924

And the deviation would be:

Sd(X) =\sqrt{0.8924} =0.9447

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).  

Solution to the problem

For this case we have the following distribution given:

X          3      4       5        6

P(X)   0.07  0.4  0.25  0.28

We can calculate the mean with the following formula:

E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74

In order to find the variance we need to calculate first the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36

And the variance is given by:

Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924

And the deviation would be:

Sd(X) =\sqrt{0.8924} =0.9447

3 0
3 years ago
In​ 2000, 49 %49% of the residents in a large city regularly used newspapers for getting news and this has decreased at an avera
kogti [31]

Answer:

  P(x) = -1.1x +49

Step-by-step explanation:

You are given the percentage in 2000 (for x=0) as 49, and told that its rate of change is -1.1 percent per year. So, with a slope of -1.1 and an intercept of 49, the slope-intercept form of the linear equation becomes ...

  P(x) = -1.1x +49

_____

The slope-intercept form for slope m and y-intercept b is ...

  y = mx + b

7 0
3 years ago
I don't understand stand this​
yanalaym [24]

Step-by-step explanation:

step 1. ABCD is an isosceles trapezoid because AD and BC are parallel, AB and CD are congruent

step 2. x = 56° (definition of an isosceles trapezoid)

step 3. x + y + z + 56 = 360 (definition of a quadrilateral)

step 4. y = z (definition of an isosceles trapezoid)

step 5. 56 + 2y + 56 = 360

step 6. 2y = 248

step 7. y = 124°, z = 124°.

6 0
3 years ago
Simplify
ivolga24 [154]
The correct answer is:  [A]:  " \frac{8}{729} " .
_________________________________________________________
Explanation:
_________________________________________________________
We are asked to simplify:

                  →    (\frac{2}{9})^3   

_________________________________________________________
Note the following property of exponents:
_________________________________________________________

( \frac{a}{b})^n  =  \frac{(a^n)}{(b^n)} ;  { b \neq0 } . 

_________________________________________________________
As such:

→  ( \frac{2}{9})^3  ;

                 
 =
\frac{2^3}{9^3} = \frac{(2*2*2)}{(9*9*9)} =  \frac{8}{729} .

_____________________________________________________________


The answer is:  
" \frac{8}{729} "  ; 

→  which is:  "Answer choice:  [A]:  " \frac{8}{729} " . 
_____________________________________________________________
Hope this answer—and explanation—is of some help to you.
  Please comment below or otherwise respond to me if you have any questions or if I can be of further assistance.
     Best wishes!
5 0
4 years ago
Read 2 more answers
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