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Sveta_85
5 days ago
8

Jay needs 19 quarts more paint for the outside of his barn then for the inside.if he uses 107 quarts in all,how many gallons of

paint will be used to paint the inside of the barn?

Mathematics
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Find the standard deviation of the following data. Answers are rounded to the nearest tenth. 5, 5, 6, 12, 13, 26, 37, 49, 51, 56
Inessa [12570]

Response:

24.2 (rounded to the nearest tenth)

Detailed breakdown:

The data type involved is ungrouped

standard deviation =√ [∑ (x-μ)² / n]

average (μ)=∑x/n

           = \frac{5+5+6+12+13+26+37+49+51+56+56+84}{12}

          =33.3

For the values 5, 5, 6, 12, 13, 26, 37, 49, 51, 56, 56, 84, the x-μ results will be

                   -28.3, -28.3, -27.3, -21.3, -7.3, 3.7, 15.7,17.7, 22.7,22.7,50.7

Calculating (x-μ)² gives: 800.89, 800.89, 745.29, 453.69, 53.29, 13.69, 246.49, 313.29, 515.29, 515.29, 2570.49

Then, ∑ (x-μ)² results in = 7028.59

Thus, standard deviation = √(7028.59 / 12)

                      =24.2

     

6 0
2 months ago
data was collected at a tennis court. it showed that being older implies that a player will stay for a shorter length of time. w
AnnZ [12381]

Answer:

A relationship exists between age and duration of stay; however, causation has not yet been established. Additional research would be necessary to clarify this matter.

Step-by-step explanation:

The answer was checked

7 0
3 months ago
How many possible values for y are there where y = cos^-1 0?
Zina [12379]

The potential values for y areinfinite

Further clarification

Trigonometry is a branch of math focused on the connections between the sides and angles of triangles.

Considering special angles of trigonometric functions, for instance

\displaystyle sin~0=0\\\\cos~30=\frac{1}{2}\sqrt{3}\\\\tan~45=1\\\\sec~45=\sqrt{2}\\\\etc.

In the equation y = cos⁻¹ 0, the value of y can be derived as follows:

y = cos⁻¹0

y = arc cos 0

cos y = 0

Thus, the resulting value of y:

\displaystyle \frac{\pi }{2},\frac{3}{2}\pi,\frac{5}{2}\pi, etc

Alternatively, it can be expressed as:

\displaystyle y=\frac{\pi }{2} (2n-1) ⇒ y: arithmetic sequence

So there are infinite solutions for y

Learn more

trigonometric identities

Keywords: trigonometric, infinite values,arithmetic sequence

3 0
3 months ago
Read 2 more answers
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