All categories

1 year ago

Which number produces a rational number when multiplied by 0.5

Mathematics

2 answers:

ivanzaharov [21]1 year ago

5 0

10 is your answer because it is a terminating or repeating decimals

HACTEHA [7]1 year ago

3 0

Answer:

Every Rational number when multiply by 0.5 produces a rational number.

Step-by-step explanation:

Rational Number is a number that can be changed in the formation of $\frac{p}{q}$ , where p & q are real numbers and q ≠ 0.

Even a natural number can also be a rational number since it can be change into $\frac{number}{1}$

So, the every rational number when multiply by 0.5 produces a rational number. For example: 2 × 0.5 = 1 (rational number)

7 × 0.5 = 3.5 (rational number)

42.63 × 0.5 = 21.315 (rational number)

But, $\sqrt{2}\times0.5$ = irrational as it has non terminating decimal number (also $\sqrt{2}$ is irrational number)

You might be interested in

A law school administrator was interested in whether a student's score on the entrance exam can be used to predict a student's g

frutty [35]

Answer:

The correlation coeffcient for this case was provided:

r =0.934

And this coefficient is very near to 1 the maximum possible value, so then we can interpret that the relationship between the entrace exam score and the grade point average are strongly linearly correlated .

We can also find the $r^2$ who represent the determination coefficient and we got:

$r^2 = 0.934^2= 0.872$

And the interpretation for this is that a linear model explains appproximately 87.2% of the variability between the two variables

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

The correlation coeffcient for this case was provided:

r =0.934

We can also find the $r^2$ who represent the determination coefficient and we got:

$r^2 = 0.934^2= 0.872$

And the interpretation for this is that a linear model explains appproximately 87.2% of the variability between the two variables

8 0

1 year ago

Sheldon is creating a graph to represent the trip he takes from his home to his favorite clothing store. In his graph, one unit

juin [17]

Answer:

hjgfghjk

Step-by-step explanation:

8 0

1 year ago

Hannah and Leah are running around a circular track. Hannah takes 5 minutes to complete one lap, and Leah takes 6 minutes to com

Dima020 [189]

The answer is 30 minutes. Because 6 x 5 = 30 while 5 6 = 30 as well. Hope this helped.

4 0

1 year ago

Read 2 more answers

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t2 + 40t + 7.

KiRa [710]

-0.2s

You cannot have a negative amount of time.

5 0

2 years ago

Read 2 more answers

Evaluate the integral. 17 sin2(x) cos3(x) dx step 1 since 17 sin2(x) cos3(x) dx has an odd power of of cos(x), we will convert a

lord [1]

To evaluate 17 int (sin^2 (x) cos^3(x))
From Trig identity. Cos^2(x) + sin^2(x) =1. Cos^2(x) = 1 - sin^2 (x)
Cos^3(x) = cosx * (1 - sin^2 (x)) = cosx - cosxsin^2x
So we have 17 int (sin^2x(cosx - cosxsin^2x))
int (sin^2x(cosx)dx - int (sin^4xcosx)dx. ----------(1)
Let u = sinx then du = cosxdx
Substituting into (1) we have
int (u^2du) - int (u^4du)
u^3/3 - u^5/5
Substitute value for u we have
(sinx)^3/3 - (sinx)^5/5
Hence we have 17 [ sin^3x/3 - sin^5x/5]

7 0

1 year ago