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asambeis [7]
3 years ago
11

How do i find x?

Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

Answer:

<h3>   To find x you need to divide polygon into triangles</h3><h3>The formula : "the sum of exterior angles=360°" is false for concaved polygons</h3>

Step-by-step explanation:

α = 180° - 135° = 45°

β = 180° - 120° = 60°

γ = 180° - 60° = 120°

δ = 180° - x

ε = 180° - 80° = 100°

If we divide the pentagon into five triangles then:

5•180° = α + β + γ + δ + ε + 4x

900° = 45° + 60° + 120° + x + 100° + 4x

900° = 325° + 5x

5x = 575°

x = 115°

60° + 120° + 135° + 80° + 115° = 510° ≠ 360°

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Which of the following describes graphing y ≥ |x| + 4?
kolbaska11 [484]

Answer:

Translate  y=\left|x\right| up 4 units and shade inside the V

Step-by-step explanation:

we know that

The function y=\left|x\right| has the vertex at point (0,0)

The function y=\left|x\right|+4 has the vertex at point (0,4)

so

the rule of the translation is

(x,y)------> (x,y+4)

That means

The translation is 4 units up

The solution of the inequality  y\geq\left|x\right|+4

is the shaded area inside the V

see the attached figure to better understand the problem

therefore

the answer is

Translate  y=\left|x\right| up 4 units and shade inside the V

5 0
3 years ago
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Brandi sells insurance plans that cost $1,500 each. She makes a 7.5% commission on each plan that she sells. Her goal is to make
scoundrel [369]

Answer:

Thw answer is 32

Step-by-step explanation:

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2 years ago
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What does x equal ?<br> quick answer!!!
Anna35 [415]
136 should be your answer
4 0
3 years ago
A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimat
Vedmedyk [2.9K]

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A.  ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

For this problem, we consider that we want it to be within 4%.

Item a:

  • The sample size is <u>n for which M = 0.04.</u>
  • There is no estimate, hence \pi = 0.5

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2

n = 600.25

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is \pi = 0.96, hence:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}

\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2

n = 92.2

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to \pi = 0.5, the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151  

8 0
2 years ago
What is 3x7/10 I need help as soon a possible homework is due tomorrow
Strike441 [17]

Answer:

\frac{3 \times 7}{10}  =  \frac{21}{10}

6 0
2 years ago
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