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Dominik [7]
2 years ago
14

Four times a number is equal to the number increased by 24 find the number

Mathematics
1 answer:
Tju [1.3M]2 years ago
3 0

Answer:

  • 8

Step-by-step explanation:

Let the number is x.

<u>Translate the given into equation and solve for x:</u>

  • 4x = x + 24
  • 4x - x = 24
  • 3x = 24
  • x = 8
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In a sample of 70 stores of a certain​ company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi
uysha [10]

Answer:

We need at least 243 stores.

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 of the interval is:

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

For this problem, we have that:

n = 70, p = \frac{62}{70} = 0.886

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.

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95​% confidence using the​ large-sample method.

We need at least n stores.

n is found when M = 0.04. So

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

0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}

\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}

n = 242.5

Rounding up

We need at least 243 stores.

5 0
3 years ago
Use the area of the rectangle to find the area of the triangle
Alborosie
Answer is D

if you want to get the area of a triangle you have to multiply the base times height and than divide by 2

A= 1/2 bh
A=1/2 (7x6)
A= 1/2(42)
A= 21

and for the area of the rectangle it’s 42 since there’s no dividing

A=bh
A=7x6
A=42


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The answer to this is 23
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Remember this rhyme:

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( Answer for your question: Mean is 93)

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( Answer for your question: Mode is 87%)

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