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3 years ago

Is 19/9 a rational or irrational number

Mathematics

1 answer:

Darya [45]3 years ago

7 0

Answer:

Rational.

Step-by-step explanation:

This is because

$19 \div 9 = 2.1111111...$

Where the product is a recurring decimal and recurring /repeating decimals are rational.

Hope this helps... :-)

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Is 1563/25 a rational number

Allushta [10]

Yes it is bc i know:)))

5 0

3 years ago

Read 2 more answers

Find the mean, the median, and all modes for the data in the given frequency distribution. (Round your answers to one decimal pl

kvasek [131]

Answer: Mean = 7.8

Median = 9

Mode = 2,9

Step-by-step explanation: Mean is the average value of a data set. Mean from a frequency table is calculated as:

$E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}$

E(X) = 7.8

Mean for the given frequency distribtuion is 7.8.

Median is the central term of a set of numbers. Median in a frequency table is calculated as:

1) Find total number, n:

n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46

2) Find position, using: $\frac{n+1}{2}$

$\frac{n+1}{2}=\frac{47}{2}$ = 23.5

Median is in the 23.5th position.

3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9

Median for this frequency distribution is 9.

Mode is the number or value associated with the highest frequency.

In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.

Mode for this distribution is 2 and 9.

7 0

3 years ago

Solve 9(t-7)=u for t Show all solving steps.

Gwar [14]

$\begin{gathered}\\ \sf\longmapsto 9(t-7)=u\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 9t-63=u\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 9t=u+63\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{9t}{9}=\frac{u+63}{9}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto t=\frac{u+63}{9} \end{gathered}$

$\begin{gathered}\\ \sf\longmapsto t=\frac{u}{9}+7\end{gathered}$

3 0

3 years ago

Read 2 more answers

Alice had 3 1/4 pounds of flour at the beginning of the week. At the end of the week, she had 2 3/4 pounds. How much has she use

Evgen [1.6K]

Answer:

1 2/4

Step-by-step explanation:

you have to subtract they

4 0

3 years ago

An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places w

Rina8888 [55]

Answer:

a) The general solution θ = nπ±π/6

The all solutions are - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b) The solutions in the interval [ 0,2π)

θ = - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

Step-by-step explanation:

Step( i):-

Given an equation 2 cos (2θ)-1 =0

2 cos (2θ) = 1

cos(2θ) = 1/2

cos(2θ) = cos (π/3)

Step(ii):-

a)

The general solution of cos θ = cos ∝ is given by

θ = 2nπ±∝

The general solution of cos(2θ) = cos (π/3) is

2θ = 2nπ±π/3

θ = nπ±π/6

Put n=0 θ = ±π/6

Put n =1 θ = π±π/6

θ = π-π/6 = 5π/6

θ = π+π/6 = 7π/6

put n =2

θ = 2π±π/6

θ = 2π-π/6 = 11π/6

θ = 2π+π/6 = 13π/6

The all solutions are - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

The solutions in the interval [ 0,2π)

θ = - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

Final answer:-

The all solutions are - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

The solutions in the interval [ 0,2π)

θ = - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

8 0

3 years ago