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gulaghasi [49]
3 years ago
5

Need help with this geometry problem hard for me smart people only 100% pls fast due now

Mathematics
1 answer:
34kurt3 years ago
8 0

Answer:

x = 30°

Step-by-step explanation:

We know that the sum of all of the interior angles of a triangle is 180°, therefore, we can write the following equation:

x + 2x + 3x = 180

6x = 180

x = 30°

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Firstly, we need to know the price of the TV after the 110$ increase.
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[This is an increase of $16.50]
[1.10 is the equivalent of 110%. 1 being 100% and the .10 being 10%]

Now for the sales tax. We apply a similar method.
     $181.50 x 0.065 = $11.79
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The final cost of the TV is $193.29
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Salaries for various positions can vary significantly depending on whether the company is in the public or private sector. The U
DIA [1.3K]

Answer:

a) 0.004

b) 0.9609                                                

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 76503

Standard Deviation, σ = 8850

We are given that the distribution of annual salaries is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(salary greater than 100,000)

P(x > 100000)

P( x > 100000) = P( z > \displaystyle\frac{100000 - 76503}{8850}) = P(z > 2.655)

= 1 - P(z \leq 2.655)

Calculation the value from standard normal z table, we have,  

P(x > 100000) = 1 - 0.996 = 0.004  = 0.4\%

b) P(sample mean annual salary falls between 70,000 and 80,000 dollars)

Sample size, n = 20

Standard error due to sampling =

\dfrac{\sigma}{\sqrt{n}} = \dfrac{8850}{\sqrt{20}} = 1978.92

P(70000 \leq x \leq 80000) = P(\displaystyle\frac{70000 - 76503}{1978.92} \leq z \leq \displaystyle\frac{80000-76503}{1978.92})\\\\ = P(-3.286 \leq z \leq 1.767)\\\\= P(z \leq 1.767) - P(z < -3.286)\\=0.9614 - 0.0005= 0.9609 = 96.09\%

P(70000 \leq x \leq 80000) = 96.09\%

7 0
3 years ago
It costs $12 to attend a golf clinic with mr. Stephan. Buckets of golf balls cost $3 each. How much can you buy if you have $30
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You can buy 6 buckets
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18 divided by 3=6
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2 years ago
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