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krek1111 [17]
3 years ago
15

Given that the domain is all real numbers, what is the limit of the range for the function ƒ(x) = 42x - 100?

Mathematics
1 answer:
slava [35]3 years ago
5 0

A linear function has no restriction on range, unless there is one on the domain.

The range is <em>all real numbers</em>.

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The variables x and y are directly proportional, and y = 2
ololo11 [35]

3/2 = 9/x,

so 9 times 2 divided by 3 = 6

A: 6

5 0
3 years ago
Explain how solving an equation with several variables is similar to and different from the
matrenka [14]

Answer:

Step-by-step explanation:

To solve an equation for a particular variable, we can perform the same actions we did when solving equations that only had one variable. We can add the same number to both sides, multiply both sides by the same number, etc.

4 0
3 years ago
A research study investigated differences between male and female students. Based on the study results, we can assume the popula
garri49 [273]

Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is of \mu = 3.5.
  • The standard deviation is of \sigma = 0.5.
  • Sample of 100, hence n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

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

By the Central Limit Theorem

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

-2 = \frac{X - 3.5}{0.05}

X - 3.5 = -0.1

X = 3.4

Z = 2:

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

2 = \frac{X - 3.5}{0.05}

X - 3.5 = 0.1

X = 3.6

The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
Two friends, Devon and Bryce, are working together at the Oakland Cafe today. Devon works every 2 days, and Bryce works every 9
ludmilkaskok [199]

Answer:

11 days before they worked together

5 0
3 years ago
i would be given out brainliest (20 points) 1. Write an equation of a line with a slope of 2/3 and y-intercept of 7. Write the e
aalyn [17]

Slope intercept form: y = 2/3x + 7

Standard form: 2x - 3y = -21

5 0
3 years ago
Read 2 more answers
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