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AfilCa [17]
2 years ago
8

8. Phil received a commission of 5% on

Mathematics
1 answer:
faltersainse [42]2 years ago
4 0

Answer:

$95,600

Step-by-step explanation:

the question can be rephrased as '4780 is five percent of what number'?

we can use the ratio of 'is/over' = %/100 to solve

'is' = 4780

'of' = selling price of house ('p')

4780/p = 5/100

now cross-multiply:

5p = 478000

p = 95600

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Step-by-step explanation:

8 0
2 years ago
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Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f
BabaBlast [244]

Answer:

153 times

Step-by-step explanation:

We have to flip the coin in order to obtain a 95.8% confidence interval of width of at most .14

Width = 0.14

ME = \frac{width}{2}

ME = \frac{0.14}{2}

ME = 0.07

ME\geq z \times \sqrt{\frac{\widecap{p}(1-\widecap{p})}{n}}

use p = 0.5

z at 95.8% is 1.727(using calculator)

0.07 \geq 1.727 \times \sqrt{\frac{0.5(1-0.5)}{n}}

\frac{0.07}{1.727}\geq sqrt{\frac{0.5(1-0.5)}{n}}

(\frac{0.07}{1.727})^2 \geq \frac{0.5(1-0.5)}{n}

n \geq \frac{0.5(1-0.5)}{(\frac{0.07}{1.727})^2}

n \geq 152.169

So, Option B is true

Hence  we have to flip 153 times the coin in order to obtain a 95.8% confidence interval of width of at most .14 for the probability of flipping a head

6 0
2 years ago
What is the value of x to the nearest degree?<br> A.32 <br> B.85<br> C.82<br> D.58
dangina [55]

Answer:

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Step-by-step explanation:

We can see that we have to use tan∅ to solve this (opposite over adjacent)

tan(x) = 7/11

x = tan^-1 (7/11)

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4 0
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Answer:

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Step-by-step explanation:

Hope this helps!

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Answer:

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Step-by-step explanation:

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