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trapecia [35]
4 years ago
10

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. To get the b

est deal on a CD​ player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed​ below: ​$124 ​$256 ​$118 ​$441 ​$122 ​$335 ​$340 ​$191
Mathematics
1 answer:
ale4655 [162]4 years ago
7 0

Answer:

$122.1

Step-by-step explanation:

We are given the following data in the question

$124, ​$256 ​, $118, ​$441, ​$122, ​$335, ​$340, ​$191

Step 1

Find the mean

Mean = Sum of Terms / Number of Terms

Number of Terms = 8

Mean = ($124 + $256 ​+ $118 + ​$441 + $122 + ​$335 + ​$340 + ​$191 )/ 8

Mean = $1927/8

= $240.875

Approximately to 1 decimal place

$240.9

Step 2

Standard deviation formula

S = √( x - μ)²/ N - 1),

N = Number of terms

μ = Mean

S = √[($124 - $240.9)² + ($256 - $240.9)² + ($118 - $240.9)² + (​$441 - $240.9)² + ($122 - $240.9)² + ​($335 - $240.9)² + ​($340 - $240.9)²+ ​($191 -$240.9)²/ 8 - 1]

S = $122.0895

Approximately to 1 decimal place

S = $122.1

Therefore, the standard deviation for the given data is $122.1

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Substracting 3x2+4x from 7x2+x+9 results in a polynomial. After subtracting 4x2-3x from this polynomial, the difference is ?
BaLLatris [955]

Answer:

9

Step-by-step explanation:

So first step is to subtract 3x^2+4x from 7x^2+x+9. In setting this up you get the following expression

(7x^2+x+9)-(3x^2+4x)

Distribute the negative

7x^2+x+9-3x^2-4x

Group like terms

(7x^2-3x^2)+(x-4x)+9

Simplify:

4x^2-3x+9

Now subtract 4x^2-3x. In setting this up you get the following expression

(4x^2-3x+9)-(4x^2-3x)

Distribute the negative:

4x^2-3x+9-4x^2+3x

Group like terms

(4x^2-4x^2) + (-3x+3x) + 9

Simplify:

9

3 0
2 years ago
For the quadratic equation, state the axis of symmetry, vertex, and any intercepts.
dusya [7]

Answer:

Axis of Symmetry is x = 2

Vertex is (2, -9)

X Intercepts are (5, 0) and (-1, 0)

Step-by-step explanation:

Quadratic Equation is in standard form. Formula find the x value of the vertex in standard form is -b/2a

a=1

b=-4

c=-5

--4/2(1) = 2

Plugin to find the y value of the vertex.

2^2-4(2)-5=y

4-8-5=y

y = -9

The x value of the vertex (in this case is 2) is the axis of symmetry. Therefore the axis of symmetry is x=2

Factor the equation to put into intercept form.

(x-5)(x+1) = y

The equation can be FOIL-ed to get back to standard form.

Separate the 2 parentheses and whatever can cancel the parentheses are your intercepts.

For (x-5) your intercept is (5, 0)

For (x+1) your intercept is (-1, 0)

The x intercepts are where the parabola will cross the x axis on the graph.

3 0
4 years ago
Plz help me! Thank you! ❤️❤️
tia_tia [17]
#2 i got 3.05 ft because 1/100 of 305 is 3.05
6 0
3 years ago
Given f of x is equal to the quantity x plus 3 end quantity over the quantity x squared minus x minus 12 end quantity and g(x) =
Westkost [7]

From the given f(x) and g(x), the value of (g-f)(2)=1

Given :

The functions are

f(x)=\frac{x+3}{x^2-x-12} \\g(x)=log_4(x)

Lets evaluate (g-f)(2)

(g-f)(2)=g(2)-f(2)

To find out g(2), replace 2 for x  in g(x) and then replace 2 for x in f(x)

f(x)=\frac{x+3}{x^2-x-12} \\g(x)=log_4(x)\\x=2\\f(2)=\frac{2+3}{2^2-2-12}=\frac{5}{-10}=-\frac{1}{2}  \\\\g(2)=log_4(2)=\frac{1}{2}

Now we find g(2)-f(2)

(g-f)(2)=g(2)-f(2)=\frac{1}{2}-\frac{-1}{2}  =1

Learn more :  brainly.com/question/15038769

4 0
3 years ago
Hannah paid $8.63 at the grocery store for beans and potatoes. She bought 4 pounds of beans at $0.62 per pound and 5 pounds of p
irina [24]

Answer:

$1.23

Step-by-step explanation:

First start off by multiplying $0.62 by 4 to find out the total she paid for all four pounds of beans. This would give you $2.48 spent on beans. Subtract $2.48 from the total amount spent ($8.63). You now have $6.15 left on what she could have spent on 5 pounds of potatoes. Do $6.15 divided by 5 to get an answer of $1.23. Hannah paid $1.23 per pound for the potatoes.

5 0
3 years ago
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