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3 years ago

I need help plz #12 plz I don’t understand

Mathematics

1 answer:

Trava [24]3 years ago

8 0

We can say that because 3 times 9, which would equal 27, could be the same as 4*9, which would be 36. So Pat needs 36 pints of green paint. Down below is a tape diagram so you can see what it is.

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Need help pls<br>thank you in advance

ira [324]

Answer:

<u />

$\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}$

$\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10$

$\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10$

<h3><u>Standard Deviation</u></h3>

$\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}$

<h3><u>Summary</u></h3>

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's. Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

5 0

2 years ago

A water tank holds 504 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 672 gallons but is leak

Orlov [11]

Answer:

That will be 75.6 if am nt mistaken

7 0

3 years ago

1. Determine the magnitude of the resultant force acting on the plate and its direction, measured counter-clockwise from the pos

AlexFokin [52]

F1 . . . 100% of it = 900N is in the +x direction.

F2 . . . 70.7% of it (cos45°, 530.3N) is in the +x direction,
and 70.7% of it (sin45°, 530.3N) is in the +y direction.

F3 . . . 80% of it (520N) is in the -x direction,
and 60% of it (390N) is in the +y direction.

Total x-component: 900 + 530.3 - 520 = 1,950.3 N

Total y-component: 530.3 + 390 = 920.3 N

Magnitude of the resultant = √ (x² + y²)

   = √(1950.3² + 920.3²)

   = √4,650,070.09

   =   2,156.4 N .

Angle of the resultant, measured counterclockwise
from the +x axis, is

   tan⁻¹ (y / x)

   = tan⁻¹ (920.3 / 1950.3)

   = tan⁻¹ (0.4719)

   = about 25.3° .

Caution:
The same fatigue that degrades my ability to READ the question accurately
may also compromise the accuracy of my solutions. Before you use this
answer for anything, check it, check it, check it !

4 0

3 years ago

3 is 12% of what number

AleksAgata [21]

3/12% = 25

<em>Therefore, 3 is 12% of 25.</em>

3 0

3 years ago

Read 2 more answers

Alex and Peter win some money and share it in the ratio 3:5. Alex gets £33. How much did Peter get?

IgorLugansk [536]

Answer:

Step-by-step explanation:

Set it up as fractions, Alex over Peter.

3/5 : 33/x Let x represent Peter's amount. Now find out: how do you get from 3 to 33? What times 3 equals 33? 11

What you do on the top, you must do on the bottom. If 3 times 11 equals 33, then 5 times 11 equals x. 5 times 11 equals 55, so x equals 55.

Peter will get 55. Don't forget the pound symbol.

5 0

3 years ago