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stich3 [128]
3 years ago
11

Which expression equals a number that is NOT a rational number?

Mathematics
2 answers:
NISA [10]3 years ago
8 0

Answer:

Last one

Step-by-step explanation:

pi is not a rational number.

3pi × 3³ ÷ 7

81pi/7

It is not rational since 81pi is not an integer

rewona [7]3 years ago
4 0
  • \frac{3\pi.3^3}{7}  is not included as a rational number !

<u>Step-by-step explanation:</u>

Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:

We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !

Here Expressions are:

  • \frac{3\pi . 3^3}{7\pi}  :

Let's evaluate this expression

⇒ \frac{3(\pi) ( 3^3)}{7(\pi)}

⇒ \frac{3^4}{7}

Therefore , It is a rational number ! .

  • \frac{-18}{5} :

Let's evaluate this expression

⇒ \frac{-18}{5}

Therefore , It is a rational number ! .

  • \frac{5}{3-7-9} :

Let's evaluate this expression

⇒ \frac{5}{3-16}

⇒ \frac{-5}{13}

Therefore , It is a rational number ! .

  • \frac{3\pi.3^3}{7} :

Let's evaluate this expression

⇒ \frac{3\pi.3^3}{7}

⇒ \frac{\pi.3^4}{7}

Therefore , It is not a rational number , as pi is included ! .

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A certain chromosome defect occurs in only 1 in 200 adult Caucasian males. A random sample of 100 adult Caucasian males will be
svlad2 [7]

Answer:

0.005 `; 0.00499 ;

No, because np < 10 ;

2000

Step-by-step explanation:

Given that:

Number of samples , n = 100

Proportion, p = x / n

p = 1 / 200

= 0.005

p = μ

Standard deviation of sample proportion :

σp = sqrt((p(1 - p)) / n)

σp = sqrt((0.005(1 - 0.005)) / 200)

σp = sqrt((0.005(0.995)) / 200)

σp = sqrt(0.004975 / 200)

σp = sqrt(0.000024875)

σp = 0.0049874

σp = 0.00499

np = 100 * 0.005 = 0.5

n(1 - p) = 100(1-0.05) = 95

Smallest value of n for which sampling distribution is approximately normal

np ≥ 10

0.005n ≥ 10

To obtain the smallest value of n,

0.005n = 10

n = 10 / 0.005

n = 2000

7 0
3 years ago
Please help h get brainleist and points
Oksanka [162]

In order:

72 x 8 = 576

47 x 7 = 329

(7 x 3) x 7

21 x 7 = 147

5 0
3 years ago
A class is putting ornaments on a Christmas tree.
eimsori [14]

Answer:

each ornament was about 5 cents

Step-by-step explanation:

Hope this helps

May I get Braineist pls

5 0
3 years ago
F(t) = -(t-2) (t-15)
Goryan [66]

Answer:

smaller (t) = 2 and this in coordinates form (2,0)

larger (t) = 15 and this in coordinates form (15,0)

the vertex of the parabola =  (\frac{17}{2} ,\frac{169}{4} ) or in decimals (8.5, 42.25)

Step-by-step explanation:

  • For the zeros of the function take each bracket and make it equal to zero.

SMALLER (t):

(t-2)=0

(add 2 for both sides)

t=2

LARGER (t):

(t-15)=0

(add 15 for both sides)

t=15

  • For the vertex of the parabola you do:

step1: expand the brackets:

f(t)=-(t-2)(t-15)

f(t)= -t^{2} +17t-30

step2: define a,b and c using the expression ax^{2} +bx+c :

a= -1 (the coefficient of t^{2} )

b= 17 (the coefficient of t)

c= -30 (the single number without a letter)

step3: sub the values in the formula -\frac{b}{2a} to find the x coordinate of the vertex :

-\frac{b}{2a}

= - \frac{17}{2*-1}

= \frac{17}{2} or in decimals 8.5

step4: sub the value of t (the x-coordinate) in equation f(t):

f(t)= -t^{2} +17t-30

f ( \frac{17}{2})  = - (\frac{17}{2} )^{2}+ 17× \frac{17}{2} - 30

= -\frac{289}{4} + \frac{289}{2} -30

=\frac{169}{4} or in decimals 42.25

(THIS IS A PICTURE OF THE GRAPH↓)

6 0
3 years ago
What is the equation of the line that passes through the point (-6,3)(−6,3) and has a slope of -4/3?
ioda

The equation of the line that passes through the point (-6,3) and has a slope of -4/3 is y=(-4/3)x-5.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

Given the slope of the line is -4/3, also, the line passes through the point (-6,3). Therefore, when the values are substituted in the general equation of a line to get the value of the constant, we will get,

y = mx + c

3 = (-4/3)(-6)+c

3 = 8 + c

c = -5

Thus, the equation can be written as y=(-4/3)x-5.

Hence, the equation of the line that passes through the point (-6,3) and has a slope of -4/3 is y=(-4/3)x-5.

Learn more about the Equation of a line:

brainly.com/question/21511618

#SPJ1

5 0
3 years ago
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