Laura babysat 8 nights during the month of July. She earned $22, $30, $35, $25, $25, $20, and $27 for seven nights. How much did she earn the eighth time if the mean of the data is $26.50?
Answers
Answer:
$28
Step-by-step explanation:
Given:
data = [22,30,35,25,25,20,27]
For eight night, the new list is:
new_data = [22,30,35,25,25,20,27,x]
Mean = 26.50
Mean Formula:
[tex]\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }[/tex]
Therefore:
[tex]\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}[/tex]
Multiply both sides by 8:
[tex]\displaystyle \large{26.50\cdot 8=\dfrac{22+30+35+25+25+20+27+x}{8} \cdot 8}\\\displaystyle \large{212=22+30+35+25+25+20+27+x}[/tex]
Solve for x:
[tex]\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}[/tex]
Subtract 184 both sides:
[tex]\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}[/tex]
Therefore, she will earn $28 in eighth night
The attachment below is the result of combining all eighth data as we get 26.5 through python language with numpy package.
Answer: $28.
Step-by-step explanation: To solve this problem, we should first find the mean of the data with the seven payments that are given already:
22 + 30 + 35 + 25 + 25 + 20 + 27 = 184.
184 / 7 = 26.2857142857.
In order to figure out how much she made the eighth night with the mean of the data being $26.50, we can pick a number and add it to 184 (the total of the seven payments), and divide the total by 8. The number we can try is 28. The work is done below:
184 + 28 = 212.
212 / 8 = $26.50.
Therefore, Laura's payment on the eighth night was $28.
Hope this helps! :)
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Line BE = 180 degrees
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Step-by-step explanation:
Mr. Pearson drives a bus for the city of Greenwood. Last month, he kept track of the number of bus riders each day.
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Step-by-step explanation:
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Answers
Answer:
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Answers
Slope intercept form is y = mx + b
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Slove for m
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A.m=3/11
B.m=-7
C.m=-5/4
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Answers
Answer:
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Step-by-step explanation:
=> 7m=3+4m
=> 7m -4m = 3
=> 3m = 3
=> m = 3/3
=> m = 1
Item 7
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y = 2x + 4
y = 2x – 4
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Answers
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Answers
Answer:
C
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mark brainliest please!
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Answers
======================================================
Explanation:
Through trial and error, we can set up these equations
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On the other hand, x = 16 doesn't work and neither does y = 16 if we wanted the other value to be an integer.
Solving x^16 = 1024 leads to approximately x = 1.5422 when we focus on the positive real number solution. This isn't an integer, so x^16 = 1024 doens't have any integer solutions.
Solving 16^y = 1024 leads to a similar situation as described in the previous paragraph. It doesn't have any integer solutions either (instead the value is y = 2.5)
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Answers
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How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
The statement given in the problem is "13 less than the product of 4 and a number, n, is 5".
Here, the 13 less than the product of n and 4 (n×4-13) is equal to the number 5. In the equation form,
[tex]4\times n-13=5[/tex]
Add number 13 both side and simplify it further,
[tex]4\times n-13+13=5+13\\4n=18\\n=\dfrac{18}{4}\\n=4.5[/tex]
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Bob owns a watch repair shop. He has foundthat the cost of operating his shop is given byc=2x2-192x+54, where c is cost and x is thenumber of watches repaired. How manywatches must he repair to have the lowestcost?
Answers
The solution for the quadratic equation, c(x) = [tex]2x^{2} -192x+54[/tex] is +48.
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The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form.
We have, c(x) = [tex]2x^{2} -192x+54[/tex]
As we know the axis of symmetry, using the formula:
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x = +48
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Mrs. Leger has a rectangular garden with side lengths measuring (3x + 10) inches
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The area of a rectangle = length * width, hence:
Area of rectangular garden = (2x + 7) * (3x + 10) = 6x² + 41x + 70
The area of Mrs. Leger's garden with length of (3x + 10) in and width of (2x + 7) in is 6x² + 41x + 70 in²
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Answers
Answer:
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Step-by-step explanation:
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after you set up that proportion, cross multiply to find x.
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Answers
Answer:
In terms of decimal places, 18.84 is bigger because of the hundredths place(4). In terms of whole numbers, 28.8 is bigger.
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Shelly and Terrence earned points in a game by completing various tasks. Shelly completed x tasks and scored 90 points on each one. The expression below shows Terrence's total points in the game:
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B :The total number of tasks Terrence completed
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Answers
Answer:
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Answers
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Click twice to plot each line. Click a line to delete it.
Answers
Answer:
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Step-by-step explanation:
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(A) 6 Ã
Ã
(813
1
3
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(B) -5 Ã
Ã
(325
2
5
) = -2
(C) 9 Ã
Ã
(259
5
9
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Ã
(-114
1
4
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Step-by-step explanation:
Manuel works mowing lawns and babysitting. He earns $8.40 an hour for mowing and $7.60 an hour for babysitting. How much will he earn for 1 hour of mowing and 5 hours of babysitting?
Answers
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Let Ethan = e
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1) We can set up two equations and solve them simultaneously.
e + l = 23
5 + l = e
1.1) To solve these equations, we can either use substitution or elimination.
5 + l + l= 23
2l = 23 - 5
2l = 18
l = 18/2
l = 9
2) Plug the result of l into one of the two equations above.
5 + 9 = e
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Answers
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Answers
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washington
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Answers
Answer:
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