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krek1111 [17]
3 years ago
9

Explain how you can determine whether or not a number is rational

Mathematics
2 answers:
Darina [25.2K]3 years ago
8 0
The easiest way to tell if a number is rational or not is to attempt to express it as a fraction. If you can, then the number is rational. If not, then the number is irrational. All integers are rational numbers, because they can be written as a fraction (for example, the integer 8 = 8/1). But numbers like pi or sqrt(2) cannot be written as a fraction and are not rational.
monitta3 years ago
6 0

Rational #s

(Terminating and repeating decimals)

  • Decimals
  • Fractions
  • Whole #s
  • Natural#s

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After taking a 70 point test, a student guesses that he got 65 points correct. Later he finds out he got 67 points
Nataliya [291]

Answer:

Percent error = 4.29%

Step-by-step explanation:

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100

Given the following data;

Experimental value = 67

Theoretical value = 70

Substituting into the equation, we have;

Percent \; error = \frac {67 - 70 }{ 70} *100

Percent \; error = \frac {3}{70} *100

Percent \; error =  0.04286 *100

Percent error = 4.29%

4 0
3 years ago
Solve 2x2 - 8x = -7.<br> -2+2<br> -2+212<br> 24 v2<br> 2t<br> 2+2<br> 2
oksano4ka [1.4K]

Answer:x

=

4

+

√

2

(

24

v

22

t

+

233

)

2

 

x

=

4

−

√

2

(

24

v

22

t

+

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)

2

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
-1.2= y/2.4 -1.7<br> Solve for y
evablogger [386]

{\huge{\boxed{\sf{Question}}

-1.2= y\div2.4 -1.7

Solve for y

{\huge{\boxed{\sf{Answer\:with\:explanation }}}

let's put our equation first

-1.2= y\div2.4 -1.7

Flip the equation

y\div2.4-1.7=-1.2

Now follow the rule of BOMDAS/PEMDAS

{\huge{\boxed{\sf{BOMDAS }}}

  • Brackets
  • Of multiplication
  • Division
  • Addition
  • Subtraction

{\huge{\boxed{\sf{PEMDAS}}}

  • Parenthesis
  • Exponents
  • Multiplication
  • Division
  • Addition
  • Subtraction

_________________________

{\huge{\boxed{\sf{Solve\:the\:equation}}}

_________________________

y\div2.4-1.7=-1.2

{\underline{simplify}}

0.416667y-1.7=-1.2

add 1.7 to both sides

0.416667y=0.5

Divide both sides by 0.416667

y=1.2

{\huge{\boxed{\sf{Answer}}}

y would equal 1.2

4 0
2 years ago
On the grid draw the graph of y = 3x + 2 for values of x + 2 for values of x from -2 to 2
sladkih [1.3K]

Answer:

The required graph is shown below.

Step-by-step explanation:

Consider the provided equation y=3x+2

We need to draw the graph of the equation.

Put x=0 in the above equation.

y=3(0)+2

y=2

The coordinate is (0,2).

Put y=0 in the given equation.

0=3x+2

-2=3x

x=\frac{-2}{3}

The coordinate is (\frac{-2}{3},0).

Now draw the graph by using the above coordinates.

The required graph is shown below.

6 0
3 years ago
A study investigated whether price affects people's judgment. Twenty people each tasted six cabernet sauvignon wines and rated h
patriot [66]

Answer:

t=5.5080( to 3 d.p)

Step-by-step explanation:

From the data given,

n =20

Deviation= 34/20= 1.7

Standard deviation (sd)= 1.3803(√Deviation)

Standard Error = sd/√n

= 1.3803/V20 = 0.3086

Test statistic is:

t = deviation /SE

= 1.7/0.3086 = 5.5080

ndf = 20 - 1 = 19

alpha = 0.01

One Tailed - Right Side Test

From Table, critical value of t =2.5395

Since the calculated value of t = 5.5080 is greater than critical value of t = 2.5395, the difference is significant. Reject null hypothesis.

t score = 5.5080

ndf = 19

One Tail - Right side Test

By Technology, p - value = 0.000

Since p - value is less than alpha , reject null hypothesis.

Conclusion:

From the result obtained it can be concluded that ,the data support the claim that the mean rating assigned to the wine when the cost is described as $90 is greater than the mean rating assigned to the wine when the cost is described as $10.

5 0
3 years ago
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