1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kogti [31]
3 years ago
13

The sum is rational or irrational number?

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

Answer:

a rational number

Step-by-step explanation:

1) First, find the sum of \frac{4}{7} +\frac{-1}{3}:

\frac{4}{7} + \frac{-1}{3} \\= \frac{12}{21} - \frac{7}{21} \\= \frac{5}{21}

2) Any number that can be written as a fraction is a rational number. Therefore, the sum, \frac{5}{21}, is rational.

You might be interested in
When obtaining a confidence interval for a population mean in the case of a finite population of size N and a sample size n whic
Elanso [62]

Answer:

95% Confidence interval for the mean

142.8 \leq\mu\leq158.4

Step-by-step explanation:

We have to calculate a 95% confidence interval for the mean of a finite population.

The error is multiplied by the following finite population correction factor:

cf=\sqrt{\frac{N-n}{N-1} }

The standard deviation can be estimated as

\sigma=\frac{s}{\sqrt{n}} \sqrt{\frac{N-n}{N-1} } =\frac{24.4}{\sqrt{32} }* \sqrt{\frac{200-32}{200-1} }=3.963

The 95% confidence interval has a z value of 1.96, so it becomes:

M-z*\sigma_c\leq\mu\leq M+z*\sigma_c\\\\150.6-1.96*3.963\leq\mu\leq 150.6+1.96*3.963\\\\ 142.8 \leq\mu\leq 158.4

5 0
3 years ago
1712 is a odd or even number
Feliz [49]
1712 is an even number
4 0
2 years ago
HELP ASAP
denis-greek [22]
A) I included a graph, look below.

B)

Input the y in x = y + 3.

x = (-4x - 3) + 3
x = -4x + 0
Add 4x to both sides.
5x = 0
Divide both sides by 5.
x = 0

Input that x value in y = -4x - 3

y = -4(0) - 3
y = 0 - 3
y = -3

(0, -3)

C)

Convert both equations to Standard Form.

x = y + 3
Subtract y from both sides.
x - y = 3

y = -4x - 3
Add 4x to both sides.
4x + y = -3

Add the equations together.

4x + y = -3
x - y = 3
equals
5x = 0
Divide both sides by 5.
x = 0

Input that into one of the original equations.

0 = y + 3
Subtract 3 from both sides.
-3 = y

(0, -3)

7 0
3 years ago
I'm really having trouble simplifying trigonometric expressions, I understand the identities, but sometimes I get stuck, and rea
Karolina [17]
\bf \cfrac{sin(t)+tan(t)}{tan(t)}\impliedby \textit{distributing the denominator}
\\\\\\
\cfrac{sin(t)}{tan(t)}+\cfrac{tan(t)}{tan(t)}\implies \cfrac{sin(t)}{\frac{sin(t)}{cos(t)}}+1\implies 
\cfrac{\frac{sin(t)}{1}}{\frac{sin(t)}{cos(t)}}+1
\\\\\\
\cfrac{sin(t)}{1}\cdot \cfrac{cos(t)}{sin(t)}+1\implies cos(t)+1
8 0
3 years ago
What is 150mm in meters
Andrei [34K]

Answer:

0.15

Step-by-step explanation:

divide the length value by 1000

150mm to 0.15

6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for x:<br> 4x+16 = 2(2x+16)
    12·1 answer
  • Which one is greatest to least?
    13·1 answer
  • The solid shown has a volume of 9 units3. Determine the surface area of the solid.
    5·1 answer
  • Help please!!! really really important​
    6·1 answer
  • Three families went to the fair together. An adult ticket cost $7, and a child ticket cost $5. If they spent a total of $58, how
    12·2 answers
  • Find the measures of the exterior angle.
    8·1 answer
  • To investigate the relationship between the selling price of a house, y , in dollars, and the size of the house x, in square fee
    10·1 answer
  • Help me ahh eeeeee<br> Image is problem/question​
    10·2 answers
  • Can someone help me with this please!
    15·2 answers
  • A population of bacteria starts 8 and is doubling every 12 hours. What equation
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!