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3 years ago

Classify the number by indicating into which set or sets it belongs -6

Mathematics

1 answer:

lys-0071 [83]3 years ago

7 0

-6 belongs to a set of real numbers and also a set of rational numbers.

Real numbers are all integers: positive and negative whole numbers. So -6 is a real number.

Rational numbers are all numbers that can be expressed as a fraction i.e numerator/denominator form. So -6 = -6/1 which is a rational number.

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#6: Tell whether the function below is 1 point linear or exponential. * f(x) = -1/4x + 5

Pachacha [2.7K]

Answer:

Linear function

Step-by-step explanation:

Given

$f(x) = -\frac{1}{4}x + 5$

Required

Linear or Exponential

A linear equation has the form: $f(x) = mx + c$ ;

An exponential has the form: $f(x) = ab^x$

By comparing both functions to: $f(x) = -\frac{1}{4}x + 5$

The linear function is similar to $f(x) = -\frac{1}{4}x + 5$

Hence, the given function is a linear function.

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3 years ago

The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that was 9 days late. If

Nataly [62]

Answer:

Step-by-step explanation:

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3 years ago

Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c

steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - α)% confidence interval for difference between population proportions is:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

Compute the sample proportions as follows:

$\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23$

The critical value of z for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

4 0

3 years ago

Which number in the set {6, 12, 18, 36} satisfies the equation below? 6x - 18 = 54

svp [43]

Answer:

Step-by-step explanation:

Solving the equation would be the easiest way to find out which number fits.

6x - 18 = 54

6x = 72

x = 12

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3 years ago

Sean's mom asks him how long his homework will take. He tells her that he needs to read for 25 minutes and also do some math pro

babunello [35]

Answer:

h = m + 25

Step-by-step explanation:

Total number of minutes for homework. h

Math problems will take m minutes.

He needs to read for 25 minutes.

h = m + 25

YAY!!! u got it!!! =)

6 0

3 years ago