1. Find the value of the expression.<br>6 = 4[3(5

inside each set and subsets .write at least 5 example of each kind of number. integers , whole ,rational ,natural ,irrational

vagabundo [1.1K]

Answer:

Integers: is the set of all the numbers that can be created by adding ones or subtracting ones a given number of times to zero.

for example:

4 = 0 + 1 + 1+ 1 +1 is an integer.

-3 = 0 - 1 - 1- 1 is an integer.

0 is also an integer, you add ones zero times.

Then 5 examples of integers can be:

-10, -5, 0, 4, 18

Whole numbers: this set is the set of the positive integers and the zero.

Then 5 examples are:

0, 1, 4, 6, 173

Rational: All the numbers that can be written as a quotient of two integers.

5 examples are:

2/2, 7/3, 4/16, 100/10, -500/1048

Natural: Is the set of the positive integers.

5 examples are:

1, 4, 6, 120, 47

Irrational: Are numbers that have infinite digits after the decimal point, such that there is no pattern in those digits. The squareroots of prime numbers are always irrational numbers.

5 examples are:

pi, √2, √3, √5, √13

where pi = 3.141592653...

Is the relation between the perimeter of a circle and its diameter.

perimeter = diameter*pi.

6 0

3 years ago

Suppose twenty-two communities have an average of = 123.6 reported cases of larceny per year. assume that σ is known to be 36.8

Delvig [45]

We are given the following data:

Average = m = 123.6
Population standard deviation = σ= psd = 36.8
Sample Size = n = 22

We are to find the confidence intervals for 90%, 95% and 98% confidence level.

Since the population standard deviation is known, and sample size is not too small, we can use standard normal distribution to find the confidence intervals.

Part 1) 90% Confidence Interval
z value for 90% confidence interval = 1.645

Lower end of confidence interval = $m-z *\frac{psd}{ \sqrt{n} }$
Using the values, we get:
Lower end of confidence interval= $123.6-1.645* \frac{36.8}{ \sqrt{22}}=110.69$

Upper end of confidence interval = $m+z *\frac{psd}{ \sqrt{n} }$
Using the values, we get:
Upper end of confidence interval= $123.6+1.645* \frac{36.8}{ \sqrt{22}}=136.51$

Thus the 90% confidence interval will be (110.69, 136.51)

Part 2) 95% Confidence Interval
z value for 95% confidence interval = 1.96

Lower end of confidence interval = $m-z *\frac{psd}{ \sqrt{n} }$
Using the values, we get:
Lower end of confidence interval= $123.6-1.96* \frac{36.8}{ \sqrt{22}}=108.22$

Upper end of confidence interval = $m+z *\frac{psd}{ \sqrt{n} }$
Using the values, we get:
Upper end of confidence interval= $123.6+1.96* \frac{36.8}{ \sqrt{22}}=138.98$

Thus the 95% confidence interval will be (108.22, 138.98)

Part 3) 98% Confidence Interval
z value for 98% confidence interval = 2.327

Lower end of confidence interval = $m-z *\frac{psd}{ \sqrt{n} }$
Using the values, we get:
Lower end of confidence interval= $123.6-2.327* \frac{36.8}{ \sqrt{22}}=105.34$
Upper end of confidence interval = $m+z *\frac{psd}{ \sqrt{n} }$
Using the values, we get:
Upper end of confidence interval= $123.6+2.327* \frac{36.8}{ \sqrt{22}}=141.86$

Thus the 98% confidence interval will be (105.34, 141.86)

Part 4) Comparison of Confidence Intervals
The 90% confidence interval is: (110.69, 136.51)
The 95% confidence interval is: (108.22, 138.98)
The 98% confidence interval is: (105.34, 141.86)

As the level of confidence is increasing, the width of confidence interval is also increasing. So we can conclude that increasing the confidence level increases the width of confidence intervals.

3 0

4 years ago

Write an equation of the line that passes through the given point, (1, 2).

Fiesta28 [93]

Answer:

Step-by-step explanation:

eq. of any line through (1,2) with slope m is

y-2=m(x-1)

if the line is parallel to x-axis then y=2

if the line is parallel to y-axis then x=1

7 0

3 years ago

What is part of a line, has one endpoint, and continues in one direction

Lina20 [59]

The answer is a ray.

6 0

3 years ago

Read 2 more answers

A circuit starts and ends at different vertices.<br> True<br> False

belka [17]

Answer:

False, a circuit must end in the same spot unless it is an Eurel circuit.

Step-by-step explanation:

4 0

3 years ago

1. Find the value of the expression.6 = 4[3(5 - 8) + 6] + 7​

1. Find the value of the expression.6 = 4[3(5 - 8) + 6] + 7