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Natalka [10]
3 years ago
15

Here are the prices of five new skateboards, in dollars: 75, 82, 100, 120, 140.

Mathematics
1 answer:
Lynna [10]3 years ago
8 0

The standard deviation<u> </u><u>INCREASES</u>

Step-by-step explanation:

Standard deviation is used to show how the points of the data deviate from the mean. The formulae for deriving standard deviation is attached. As seen from the formulae, the greater the variance of the data from the mean, the higher the Standard Deviation.

The mean of the given data points is $103.4. $450 is way off from this mean meaning that there is a large variance in this data point.

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Could you please help me I don’t really understand this pleaseeeeeee?
likoan [24]
B has to be 70° and A has to be 115° so I’m confused by your options
7 0
3 years ago
The area of a rectangle is 980 in squared. the ratio of the length to the width is 5 : 4. find the length and the width.
ella [17]
Answer:   The length of the rectangle is 35 in.

                 The width of the rectangle is 28 in.
_________________________________________________________
Explanation:
_________________________________________________________
The formula for the area, "A", of a rectangle:

Area (A) = length (L) * width (w) ; 
 
  that is:   "  A  =  L  *  w  "  ;

A = 980 in²  (given);

ratio of the length to the width is:  " 5 : 4 " (given); 

→   Find the length (L) and the width (w).
_________________________________________________________

→  980 in²  =  (5x) * (4x) ; 

in which:  " 980 in² " is the area of the triangle; 

                 " 5x" = the length (L) of the rectangle, for which we shall solve; 

                 " 4x" = the width (w) of the rectangle, for which we shall solve.
_______________________________________________________
If we find solve for "x" ; we can solve for  "5x" and "4x" (the "length" and the "width", respectively);  by plugging in the solved value for "x" ; 
_______________________________________________________

   →  980 in²  =  (5x) * (4x) ; 

   ↔   (5x) * (4x) = 980 in²  ; 

   →   (5x) * (4x) = (5) * (4) * (x) * (x)  = 20 * x² = 20x² ;

   →  20x²  =  980 ;

Divide each side by "10" ; by canceling out a "0" on each side of the equation:

   →  2x² = 98 ; 

Now, divide each side of the equation by "2" ;

   → 2x² / 2  =  98 / 2 ; 

to get:  

→  x² = 49 ; 

Now, take the "positive square root" of each side of the equation;  (since a "length or width" cannot be a "negative value") ; 
    to isolate "x" on one side of the equation; & to solve for "x" ; 

→  ⁺√(x²) = √49 ; 

to get:

→  x = 7 ;
______________________________________________________
Now, we can solve for the "length" and the "width" ; 

→  The length is:  "5x" ;   

     5x = 5(7) =  " 35 in " ; 
______________________________________________________
→  The width is:  "4x" ; 

     4x =  4(7) =  "28 in."
______________________________________________________
Let us check our answer:

    →  A = L * w ; 

    →  980 in² = ?  35 in. * 28 in. ?? ; 

   Using a calculator:  "35 * 28 = 980" .  Yes!   ;
____________________________________________________
 { Also note:  " in * in = in² " ?  Yes! } .
____________________________________________________
3 0
3 years ago
A group of 5 men are meeting for lunch.
Sladkaya [172]

Tile:

<h2>See the explanation.</h2>

Step-by-step explanation:

(a)

There were total 5 men wearing coats.

5 coats can be returned to 5 men in 5! = 120 ways.

The coats can be returned to the accurate persons only in 1 way.

Hence, the probability that each man gets the correct coat is \frac{1}{120}.

(b)

At the time of returning the first coat, the hostess will have 5 choices and for the second she will have 4 choices.

Hence, in 5\times4 = 20 ways the hostess can return the 2 coats.

There is only 1 possible case that each of the coats will return to the correct owner.

Hence, the required probability is \frac{1}{20}.

6 0
3 years ago
The median rainfall during a spring storm in the lowlands is about 4 mm less than a spring storm in the highlands. The mean rain
butalik [34]

Median is just the value that is neither the highest nor the lowest compared with the other values in the set


Mean is just the average of the numbers which is found out by adding up all the numbers then dividing the sum by the number of values in the set

3 0
3 years ago
Read 2 more answers
Jodi bought 4 identical bags of potato chips and one bottle of water. The bottle of water costs $1.25, and her entire order cost
Sonbull [250]

Answer:

10.41 - 1.25 = x

x / 4 = answer

(the answer is $2.29 per chip bag)

Step-by-step explanation:

;3

8 0
3 years ago
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