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Tanya [424]
3 years ago
9

Solve for x and graph ​

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
7 0
X= x>5 (make sure the line is under the greater than symbol)
bezimeni [28]3 years ago
3 0

Answer:

x ≥ 5

Step-by-step explanation:

5x+3-2x≥18

5x-2x+3≥18

3x+3≥18

(3x+3)+(-3)≥18+(-3)

3x+3-3≥18-3

3x≥15

3x/3≥15/3

x≥5

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Charles runs 1/4 mile in 10 minutes. How long will it take him to run 1 1/2 miles?
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What is the area of the green shaded part?​
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Answer:

7.74 \:  {cm}^{2}

Step-by-step explanation:

Area of the green shaded part

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What does a logarithmic function look like?
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A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b
nata0808 [166]

Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error:

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

For this problem, we have that:

p = 0.1

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

We need a sample size of at least n, in which n is found M = 0.04.

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

0.04 = 1.96\sqrt{\frac{0.1*0.9}{n}}

0.04\sqrt{n} = 0.588

\sqrt{n} = \frac{0.588}{0.04}

\sqrt{n} = 14.7

(\sqrt{n})^{2} = (14.7)^{2}

n = 216

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