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bazaltina [42]
3 years ago
13

A path is 0.75 m wide. Mr. Kassel extends the width by placing blocks 20 cm wide on each side of the pathl. What is the new widt

h of the path in meters
Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0
We know that there are 100 cm in 1 m. We can convert 0.75 m to cm by multiplying by 100 to give us:

0.75m*100=75cm

Therefore the path before the addition is 75 cm wide.

Mr. Kassel added 20 cm of blocks on each side of the path, meaning that the added width is actually 40 cm total (20 on each side, and there are 2 sides).

So we need to add 40 cm to the original 75 cm:

40cm+75cm=115cm

So now we have the width of the path in cm, the question asks for the width in meters. We can do this by dividing the width in cm by 100 to get the width in meters:

\frac{115cm}{100}=1.15m

Now we know that the new width of the path is 1.15 m.
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Answer: x=10

Step-by-step explanation:

4(x+3)=x+42\\4x+12=x+42\\4x-x=42-12\\3x=30\\x=10

7 0
3 years ago
Suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually.
andrey2020 [161]
<h3>Answer:  1034.44 dollars</h3>

=====================================

Work Shown:

A = P*(1+r/n)^(n*t)

A = 1000*(1+0.0085/1)^(1*4)

A = 1034.43596172007

A = 1034.44

---------------------

Notes:

  • P = 1000 is the deposit or principal
  • r = 0.0085 is the decimal form of the annual interest rate of 0.85%; we can say 0.85% = 0.85/100 = 0.0085
  • n = 1 represents how many times per year we're compounding the money (ie annually)
  • t = 4 = number of years
  • The result of 1034.44 dollars is only possible if you do not withdraw any of the money in the four year time period.
4 0
2 years ago
A sport analyst wants to determine the mean salary of a Baseball player for 2015. He believes an estimate of this average salary
djyliett [7]

Answer:

<em>The large sample size 'n' =  199.6569≅ 200</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given Standard deviation of salary for all baseball players for 2015 is about $5,478,384.55

<em>Standard deviation of  of salary for all baseball players for 2015 </em>

<em>   (S.D ) σ =  $5,478,384.55</em>

Given estimate of this average salary for all baseball players for 2015

                          =  $497,000

<em>Given Margin of error of error is  =  $497,000 </em>

<em>Level of significance ∝ = 80% </em>

<em>The critical value Z₀.₂₀ = 1.282  </em>

<u><em>Step(ii):</em></u><em>-</em>

<em>Margin of error of error is  determined by</em>

<em>           </em>M.E = \frac{Z_{0.20} S.D}{\sqrt{n} }<em></em>

<em>          </em>497,000 = \frac{1.282 X 5,478,384.55}{\sqrt{n} }<em></em>

Cross multiplication , we get

 \sqrt{n}  = \frac{1.282 X 5,478,384.55}{497,000 }

On calculation , we get

√n = 14.13

<em>Squaring on both sides, we get</em>

n = 199.6569

<u><em>Conclusion</em></u><em>:-</em>

<em>The large sample size 'n' =  199.6569≅ 200</em>

<em>    </em>

<em></em>

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