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earnstyle [38]
3 years ago
9

Please help ASAP I will mark brainlest

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

Answer:

160 units.

Step-by-step explanation:

In order to find the minimum cost, we need to find the vertex of the equation since it is the lowest point of the graph. To find the vertex, we use the following equation.

x = -b/2a

In this equation, a is the coefficient of x^2 and b is the coefficient of x. So we plug in and solve.

x = -b/2a

x = -(-80)/2(.25)

x = 80/.5

x = 160

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Answer:

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Step-by-step explanation:

2(x+6) = 22

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2x = 10

x = 5

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3 years ago
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
jekas [21]

Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 100, \sigma = 15

The proportion of IQ scores less than 115 is the <u>p-value of Z when X = 115</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{115 - 100}{15}

Z = 1

Z = 1 has a p-value of 0.8413.

Out of 2200 people:

0.8413 x 2200 = 1851.

More can be learned about the normal distribution at brainly.com/question/27643290

#SPJ1

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