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12345 [234]
3 years ago
14

Karlen started painting the walls at 10:45 am, and he said that he could complete the job at 5:25 pm. His father said that five

eighths of that time was enough to paint the walls. However, when Karlen finished the job, they noticed that it actually took him 80% of an hour longer than the time predicted by the father. How much longer did Karlen predict it would take than the time it actually took him to complete the job (what part of an hour)? Please help as soon as possible
Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

karlen predicted it will take 1.7 hours longer than he actually did

Step-by-step explanation:

If Karlen started painting the walls at 10:45 am, and he said that he could complete the job at 5:25 pm.

Which means he thought he would spend 6 hrs 40 minutes or 6⅔ hours or 20/3

Now, his father said ⅝ of that time was going to be enough to paint the whole wall.

Thus; estimated time by father to paint whole wall = ⅝ x 20/3 = 25/6 hours.

Now, it says karlen took 80% of an hour longer than the time predicted by his father to finish the painting.

Thus, karlen actually spent;

25/6 + 80/100 hours = 25/6 + 4/5 = 149/30 hours

Thus, since karen predicted he was going to spend 20/3 hours, the difference is;

20/3 - 149/30 = 1.7 hours

So karlen predicted it will take 1.7 hours longer than he actually did

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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>

7 0
3 years ago
Write the expression as a square of a monomial. <br><br><br><br><br><br><br><br><br><br> a 81x^4
poizon [28]

Answer:

(9x²)²

Step-by-step explanation:

Given the expression 81x⁴, to write the expression as a square of a monomial, first we will assign a variable to the expression.

y = 81x⁴

Then we take the square root of both sides of the expression

√y = √81x⁴

y^½ = √81 × √x⁴

y^½ = 9x²

Squaring both sides of the resulting equation to get y back

(y^½)² = (9x²)²

y = (9x²)²

The expression as a square of a monomial is (9x²)²

7 0
3 years ago
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How much sugar syrup would you get by:<br> Making 70% sugar syrup using 350g sugar?
zvonat [6]

Answer:

You will get 500g of sugar syrup.

I already answered this question.

You can get the answer by taking mass/mass% = 350/x

75/100 = 350/x

Therefore x = 500g of sugar syrup


8 0
3 years ago
The width of a rectangle is four times its length. Write an expression for the perimeter of the rectangle
Sonja [21]

Answer:

Perimeter=10L

Step-by-step explanation:

The solution is in the image

4 0
2 years ago
Which set of rational number is correct ordered from least to greatest
MrMuchimi
B is correct answer
3 0
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