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svet-max [94.6K]
1 year ago
9

The ratio of boys to girls at a school dance is shown in the graph. Which equation has a greater rate of change than the rate sh

own in the graph? A graph is shown in the xy-plane. The x-axis is labeled as Number of Girls and the y-axis is labeled as Number of Boys. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range from 0 to 9 in increments of 1. A line starts from the origin, goes up, and passes through (4, 1). A. y = 1 5 x B. y = 1 7 x C. y = 2 9 x D. y = 2 3 x

Mathematics
1 answer:
Marianna [84]1 year ago
3 0

Answer:

  y = 2/3x

Step-by-step explanation:

The graph shows a rise of 1 for a run of 4, so its slope is ...

  rise/run = 1/4

The equation with a greater rate of change is the one with an x-coefficient greater than 1/4. That one is ...

  y = 2/3x

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Number of toothpicks required per student = At least 9

Total number of students = 30

Number of toothpicks required for the entire class = At least 9 × 30 = At least 270

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Additional number of toothpicks required to be bought to make sure there are enough toothpicks = 270 - 50 = 220

Hence, she needs to buy 220 toothpicks.

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2 years ago
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After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an
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Answer:

y=32000(1+0.08)^x

Step-by-step explanation:

Exponential growth function is y=a(1+r)^x

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a steady population of 32,000. So initial population is 32,000

an increase of 8% per year. the rate of increase is 8% that is 0.08

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y=a(1+r)^x

y=32000(1+0.08)^x

y=32000(1+0.08)^x

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2 years ago
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A normal distribution curve, where x = 70 and σ = 15, was created by a teacher using her students’ grades. What information abou
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Answer:

The median and mode of the students grade is 70.

Most of the students scored between 40 and 100.

Step-by-step explanation:

From the provided information it can be seen that the mean of the distribution is, <em>μ</em> = 70 and the standard deviation is, <em>σ</em> = 15.

For a Normal distributed data the mean, median and mode are the same.

So, the median and mode of the students grade is 70.

The standard deviation of the data represents the spread of the observation, i.e. how dispersed the values are along the curve.

In statistics, the 68–95–99.7 rule, also recognized as the empirical rule, is a shortcut used to recall that 68.27%, 95.45% and 99.73% of the values of a Normally distributed data lie within one, two and three standard deviations of the mean, respectively.

P(\mu-\sigma  

P(\mu-2\sigma

P(\mu-3\sigma

Assuming that maximum marks of the exam is 100, it can be said that most of the students scored between 40 and 100.

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Average speed = 560 meters / 25 seconds = 22.4 m/s
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If the manager at first city bank surveys a sample of 100 customers to determine how many miles they live from the​ bank, is the
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The answer to this question would be  yes, they are parameter.

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