1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vesna [10]
2 years ago
10

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?
Mathematics
2 answers:
Svet_ta [14]2 years ago
7 0

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:

\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }

Therefore:

\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}

Multiply both sides by 8:

\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}

Solve for x:

\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}

Subtract 184 both sides:

\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}

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.

Sauron [17]2 years ago
5 0

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! :)

You might be interested in
Tell whether the given value is a solution for the inequality. Then, justify your answer.
tatuchka [14]

Answer:

x=18 is not a solution

Step-by-step explanation:

18+9=27 but this is saying it has to be less than 27 so this is not a solution

4 0
2 years ago
Use the laws of Sines and law of cosines to find missing dimensions​
Andrei [34K]

Answer:

A) ERROR

B) ∠C = 26°

Step-by-step explanation:

Houston, We have a problem!!! too much information

If we had a legit triangle, the law of sines would hold

19/sin138 = 8/sin20

  28.395 = 23.390

as this is NOT an equality, the triangle does not exist as described.

IF it did, we'd get different results depending on which set we used

∠F = 180 - 138 - 20 = 22°

Law of sines

19/sin138 = DE/sin22 ⇒ DE = 19sin22/sin138 = <u>10.63697...</u>

or

8/sin20 =  DE/sin22 ⇒ DE = 8sin22/sin20 = <u>8.762211...</u>

If we attempt to use Law of cosines

DE² = 19² + 8² - 2(19)(8)cos22 = <u>11.9639...</u>

so really none is correct because we attempt to use trig calculations to a non-triangle.

12) AC² = 15² + 19² - 2(15)(19)cos120

      AC = 29.51270...

29.51270 / sin120 = 15/sinC

C = arcsin(15sin120/29.51270) = 26.1142... <u>26°</u>

6 0
3 years ago
Read 2 more answers
The radius of a circle is 19.2 in. Find the circumference to the nearest tenth.
Nataly_w [17]

Answer:

1

Step-by-step explanation:

7 0
3 years ago
PLZ HELP!! I NEED QUICKLY!!
Amiraneli [1.4K]

Answer:

(1, 1), (2, 2), (-3, -3), (4, 4), (-5, -5)

Step-by-step explanation:

You get a straight line. As you can see in the picture, the figure lies in the first and third quadrant.

4 0
2 years ago
Read 2 more answers
Perform the indicated row operations
SVETLANKA909090 [29]

Answer:

\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}

Step-by-step explanation:

Given matrix is,

\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & 3 & -2 & 5\\ 0 & 10 & 8 & 2\end{bmatrix}

Operations performed,

-10R₂ → R₂

\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 10 & 8 & 2\end{bmatrix}

3R₃ → R₃

\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}

4 0
3 years ago
Other questions:
  • Help with geometry!!!!!!!!!!!!
    6·1 answer
  • I need help asap pls help me
    7·1 answer
  • Least common multiple of 70, 60, and 50
    11·1 answer
  • 4 is equal to what percent ?
    5·2 answers
  • How you could use paper folding to construct the bisector of an angle
    7·1 answer
  • Have a look of the drawing... What is "d" value? I have tried many methods but don't find how to solve... Pleaseeee
    10·2 answers
  • Anyone know the movie queen of the south well i wanna be Teresa shes so powerful
    15·2 answers
  • Can you solve for x: (x(5x-2) =0
    15·2 answers
  • triangle ABC is reflected across the y-axis and then dilated by a factor of 1/2 centered at the origin. which statement correctl
    5·1 answer
  • You have 16 digs for your current volleyball season. There are 3 games left in the season. You want to break your previous recor
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!