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gulaghasi [49]
3 years ago
7

The sum of twice a number and 2 is greater than 4

Mathematics
2 answers:
faust18 [17]3 years ago
8 0
2(n + 2) > 4 Is the answer
laila [671]3 years ago
5 0

Let's make the inequality.

The sum of twice a number and 2. We're adding and multiply. X will be the number. 2x+2

Is greater than 4. We'll be using the greater than sign. >4; let's put it together.

2x+2>4; let's solve. First by subtracting two on both sides. 2x>2; let's divide by 2. x>1

So, the inequality is 2x+2>4. To solve it, it is x>1.

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Step-by-step explanation:

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6 0
2 years ago
A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a ye
Katena32 [7]

Answer:

The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we select appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sum of values of <em>X</em>, i.e ∑<em>X</em>, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{x}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

 \sigma_{x}=\sqrt{n}\sigma

The information provided is:

<em>μ</em> = $970

<em>σ</em> = $129

<em>n</em> = 102

Since the sample size is quite large, i.e. <em>n</em> = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.

Then,

\sum X\sim N(\mu_{x}=98940,\ \sigma_{x}=1302.84)

Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:

P (\sum X \leq  100,000) =P(\frac{\sum X-\mu_{x}}{\sigma_{x}}

                              =P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

6 0
2 years ago
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