Which number line best shows the position of square root of 7?

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

Svet_ta [14]

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.

7 0

2 years ago

Read 2 more answers

in constructing a box and whisker plot from the data set below at which value would you draw the left and right side of the box

KatRina [158]

A box and whisker plot is a type of statistical graph that shows the median distributions of the data set. The box represents the data median and the medias of the quartiles. The whiskers represents the lines extended from the box to the lowest and the highest data.

Take this data as an example:
3.9, 4.1, 4.2, 4.3, 4.3, 4.4, 4.4, 4.4, 4.4, 4.5, 4.5, 4.6, 4.7, 4.8, 4.9, 5.0, 5.1
First, find the middle value. That would be the median. In this case, that would be 4.4. Let's denote this as Q₂ or Quartile 2. Now, take the group of data set before and after the median. These are:

3.9, 4.1, 4.2, 4.3, 4.3, 4.4, 4.4, 4.4

and

4.5, 4.5, 4.6, 4.7, 4.8, 4.9, 5.0, 5.1

The middle of the first data set is Q₁ = 4.3, while the middle of the second set is Q₃ = (4.7+4.8)/2 = 4.75

To construct the box and whisker plot, create line for the lowest value 3,9, Q₁, Q₂, Q₃ and the highest value, 4.4. The left side of the box would be Q₁, while the right side of the box is Q₃. The line in between is the media Q₂. The whiskers are the lines connecting the lowest to Q₁, and Q₃ to the highest on the other side. The resulting box and whisker plot is shown in the attached picture.

8 0

3 years ago

Given: △ABC is an isosceles triangle,

andre [41]

Answer:

Perimeter of △BDC=Sum of all the sides=BD+DC+CB=15+15+15=45

Step-by-step explanation:

Given ΔABC is an isosceles triangle, thus, AB=BC=x and AC=12,

perimeter of △ABC is=42

⇒x+x+12=42

⇒2x=30

⇒x=15

Thus, AB=BC=15

Now, △BDC is an equilateral triangle therefore BD=DC=BC=x

Since, x=15, therefore BD=DC=BC=15

Now, Perimeter of △BDC=Sum of all the sides=BD+DC+CB=15+15+15=45

8 0

2 years ago

Which set of ordered pairs do NOT represent a function?

Rainbow [258]

Answer:

Every input can have only one output. But an output can have multiple inputs. Basically an x coordinate can have the same y coordinate as another ordered pair but not the same x coordinate. This is why d) does not represent a function.

Step-by-step explanation:

(4,-2)

(4,2)

4 is mentioned twice and every input( x value) can have only one output ( y-value)

7 0

2 years ago

Claire is 2 year younger than her sister. The

natta225 [31]

Given:

Claire is 2 year younger than her sister.

The sum of ages is no less than 44 years.

To find: