Analyze Robin’s reasoning in her answer to the test question about rational or irrational numbers. Does she have a deep understanding of rational and irrational numbers? Does her reasoning make sense? If not, what misconceptions does she have about this topic?





QUESTION: Is 130 rational or irrational? Where would 130 be located on a number line? Explain your reasoning.





ROBIN’S ANSWER: 130 is a rational number because 130 is even. All rational numbers are even and irrational numbers are odd when the numbers are under the square root sign. The square root sign is the opposite of squaring a number. Squaring a number is the same as raising it to the 2nd power. So, to find the value of a number under the square root sign, you divide it by 2. So, 130÷2 is 65. The answer is 65.

Answers

Answer 1

Answer:

No, Robin do not have deep understanding of rational and irrational number.

Step-by-step explanation:

Rational number are those numbers that can be represented in the form of [tex]P/Q[/tex]  where p and q are integers and q is a non zero denominator like [tex]3/2[/tex], [tex]5/8[/tex] etc.

Irrational number are those numbers that cannot be expressed in the form of [tex]P/Q[/tex] like [tex]\sqrt{2}[/tex], [tex]\sqrt{5}[/tex] etc.

1) 130 is a rational number because it is even: This is not true because rational number has nothing to do with the number being even or odd it should be of the form [tex]P/Q[/tex] with non zero denominator

2)All rational numbers are even and all irrational number are odd under square root: its false because of the same reason stated above.

3) The square root sign is the opposite of squaring a number: true because square root hold a power of 1/2 and squaring is raising it to the power of 2

4) TO find the value of number under the square root we divide it by 2: false because square root means raising the given number to the power of 1/2 and not diving it by 2

Hence, 130 will be plotted to the right hand side of the number line


Related Questions

PLEASE HELP‍
solve x^3= 1/8

Answers

Answer:

x=1/2

Step-by-step explanation:

Olivia drove 883 miles from San Francisco to Seattle in 4 days she drove the same number of miles each day how many miles did Olivia drive each day

Answers

Answer:

She drove 220.75 miles each day.

Step-by-step explanation:

883÷4

Answer:

She drove 220.45 because you get that answer if you divide 883 by 4

Can someone help me with this problem

Sonya has $595 in her savings account and she has to pay $45 each month to her parents
for her cell phone. Cameron has $55 and he saves $15 each month from his job walking
dogs for his neighbor. At this rate, when will Sonya and Cameron have the same amount of
money? How much will they each have?

Answers

Answer: They'll have the same amount of money in 9 months. They'll have $190

Step-by-step explanation:

Make a chart showing each month, with how much they have. Every time you add a month, subtract 45 to Sonya's amount of add 15 to Cameron's amount. Eventually, you'll get that they will both have $190 in 9 months. Hope this helped!

Leila’s class has a female student-to-male student ratio of 3:2. If Leila’s class has 18 girls, how many boys does she have?

WILL RECIEVE BRAINLIST

Answers

Athe answer is 12

Step-by-step explanation:

just divide 18 by 3 and then you get 6 and multiply 2 by 6 and you get 12 hope this helps

To qualify for a police academy, applicants are given a test of physical fitness

Answers

71.65 i believe is the answer

Deshawn has 850 pennies to put into 50 bags. He wants to put an equal number of pennies in each bag. He can use the expression below to find how many to put into each bag.

850/50

Which expression below could also be used to find the number of pennies in each bag?

Answers

Answer:

it can be 50x=850

x=850/50

x=17

f(x) = 2x3 + 3x2 – 7x + 2
g(x) = 2x – 5
Find (f + g)(x).

Answers

Answer:

(f + g)(x) = 2x³ + 3x² - 5x - 3 ⇒ B

Step-by-step explanation:

Let us solve the question

∵ f(x) = 2x³ + 3x² -7x + 2

∵ g(x) = 2x - 5

→ (f + g)(x) means add f(x) and g(x)

∴ (f + g)(x) = (2x³ + 3x² - 7x + 2) + (2x - 5)

→ Add the like terms

∵ (f + g)(x) = 2x³ + 3x² + (-7x + 2x) + (2 - 5)

∴ (f + g)(x) = 2x³ + 3x³ + (-5x) + (-3)

→ Remember that (+)(-) = (-)

∵ 2x³ + 3x³ + (-5x) + (-3) = 2x³ + 3x² - 5x - 3

(f + g)(x) = 2x³ + 3x² - 5x - 3

If 4(n−3)+2n=12, what is the value of n?

Answers

Answer:

n=4

Step-by-step explanation:

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[tex]4(n - 3) + 2n = 12[/tex]

[tex]4n - 12 + 2n = 12[/tex]

[tex]6n - 12 = 12[/tex]

Add sides 12

[tex]6n - 12 + 12 = 12 + 12[/tex]

[tex]6n = 24[/tex]

Divide sides by 6

[tex] \frac{6}{6} n = \frac{24}{6} \\ [/tex]

[tex]n = 4[/tex]

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A farmer decided to put a fence around his property that measures 170 feet long and 120 feet wide. What is the perimeter of his property?

Answers

um about 300 frtt long

Answer: 580

Step-by-step explanation:

A fence is usually a rectangle shape in these questions

Perimeter of a rectangle is P = 2l + 2w

P = 2(170) + 2(120) = 580

Given a standard normal distribution, find the area under the curve that lies (a) to the left of z = −1.39; (b) to the right of z = 1.96; (c) between z = −2.16 and z = −0.65; (d) to the left of z = 1.43; (e) to the right of z = −0.89; (f) between z = −0.48 and z = 1.74.

Answers

Complete Question

Given a standard normal distribution, find the area under the curve that lies

(a) to the left of z = −1.39;

(b) to the right of z = 1.96;

(c) between z = −2.16 and z = −0.65;

(d) to the left of z = 1.43;

(e) to the right of z = −0.89;

(f) between z = −0.48 and z = 1.74.

Answer:

a

  [tex]P(Z < -1.39) = 0.082264[/tex]

b

 [tex]P(Z > 1.96) = 0.025[/tex]

c

 [tex]P(-2.16 < Z < -0.65 ) =0.2457[/tex]

d

 [tex]P(Z < 1.43) = 0.92364[/tex]

e

  [tex]P(Z > -0.48) = 0.68439[/tex]

f

  [tex]P(-0.48 < Z < 1.74 ) =0.6435[/tex]

Step-by-step explanation:

Considering a

From the question we are told that

   The  z-score is  z =  -1.39

Generally from the z table the  area under the curve that lies to the left of  z =  -1.39 is  

     [tex]P(Z < -1.39) = 0.082264[/tex]

Considering b

From the question we are told that

   The  z-score is  z = 1.96

Generally from the z table the  area under the curve that lies to the right of  z = 1.96 is  

     [tex]P(Z > 1.96) = 0.025[/tex]

Considering c

From the question we are told that

   The z-score is  z = −2.16 and z = −0.65

Generally from the z table the  area under the curve that lies between z = −2.16 and z = −0.65;

   [tex]P(-2.16 < Z < -0.65 ) = P(Z < -0.64 ) - P( Z < -2.16)[/tex]

From the z table the area under  (Z <  -0.64 )   and  ( Z <  -2.16) is  

      [tex]P(Z < -0.64 ) = 0.26109[/tex]

and

      [tex]P( Z < -2.16) = 0.015386[/tex]

So

     [tex]P(-2.16 < Z < -0.65 ) =0.26109- 0.015386[/tex]

=>  [tex]P(-2.16 < Z < -0.65 ) =0.2457[/tex]

Considering d

From the question we are told that

   The  z-score is  z = 1.45

Generally from the z table the  area under the curve that lies to the left of z = 1.43 is  

     [tex]P(Z < 1.43) = 0.92364[/tex]

Considering e

From the question we are told that

   The  z-score is  z = -0.48

Generally from the z table the  area under the curve that lies to the right of  z = 0.48 is  

     [tex]P(Z > -0.48) = 0.68439[/tex]

Considering f

From the question we are told that

   The z-score is  z = −0.48  and z = 1.74

Generally from the z table the  area under the curve that lies between z = −2.16 and z = −0.65;

   [tex]P(-0.48 < Z < 1.74 ) = P(Z < 1.74 ) - P( Z < -0.48)[/tex]

From the z table the area under  (Z <  1.74 )   and  ( Z <  -0.48) is  

      [tex]P(Z < 1.74 ) = 0.95907[/tex]

and

      [tex]P( Z < -0.48 ) = 0.31561[/tex]

So

     [tex]P(-0.48 < Z < 1.74 ) = 0.95907 - 0.31561[/tex]

=>  [tex]P(-0.48 < Z < 1.74 ) =0.6435[/tex]

The standard normal table shows the mathematical table which represent the value below a z-score in standard normal distribution. It is also known as z-table.

(a) The correct answer is 0.082264.

(b) The correct answer is 0.025

(c) The correct answer is 0.2457.

(d) The correct answer is 0.68439.

(e) The correct answer is 0.6435

Given:

(a)

The  z-score is  z =  -1.39

Refer the z-table area under the curve that lies to the left of [tex]z=-1.39[/tex],

[tex]P(Z<-1.39)=0.082264[/tex]

(b)

.The  z-score is  z = 1.96

Refer the z-table area under the curve that lies to the right of [tex]z=1.96[/tex],

[tex]P(Z>1.96)=0.025[/tex]

(c)

The  z-score is  [tex]z = -2.16[/tex] and [tex]z=-0.65[/tex]

Refer the z-table area under the curve that lies between [tex]z = -2.16[/tex] and [tex]z=-0.65[/tex],

[tex]P(-2.16<Z<-0.65)=P(Z<-0.64)-P(Z<-2.16)[/tex]

Thus,

[tex]P(Z<-0.64)=0.26109\\P(Z<-2.16)=0.015386\\P(-2.16<Z<-0.65)=0.26109-0.015386\\P(-2.16<Z<-0.65)=0.2457[/tex]

(d)

The  z-score is  [tex]z =1.45[/tex]

Refer the z-table area under the curve that lies to the right [tex]z = 1.45[/tex],

[tex]P(Z<1.45)=0.92364[/tex]

(e)

The  z-score is  [tex]z = -0.48[/tex]

Refer the z-table area under the curve that lies to the right [tex]z = -0.48[/tex],

[tex]P(Z>-0.48)=0.68439[/tex]

(f)

The z-score is  [tex]z =-0.48[/tex]  and [tex]z = 1.74[/tex]

Refer the z-table area under the curve that lies between [tex]z =-0.48[/tex]  and[tex]z = 1.74[/tex],

The z table the area under  [tex](Z < 1.74 )[/tex] is,

[tex]P(Z<1.74)=0.95907[/tex]

The z table the area under  [tex](Z < -0.48 )[/tex] is,

[tex]P(Z<-0.48)=0.31561[/tex]

Calculate the area under the curve that lies between [tex]z =-0.48[/tex]  and[tex]z = 1.74[/tex],

[tex]P(-0.48<Z<1.74)=P(Z<1.74)-P(Z<-0.48)\\P(-0.48<Z<1.74)=0.95907-0.31561\\P(-0.48<Z<1.74)=0.6435[/tex]

Thus,

(a) The correct answer is 0.082264.

(b) The correct answer is 0.025

(c) The correct answer is 0.2457.

(d) The correct answer is 0.68439.

(e) The correct answer is 0.6435

Learn more about z-table here:

https://brainly.com/question/24163209

Help, I’ll give the brainliest to the first one who answers, solve for x
x-4/6 = x+2/12

Answers

Answer: 0= 5/6

I just did it

What percent of 16 is 50% of 50% of 48?

Answers

Answer:

150

Step-by-step explanation:

x %* 16 = 50% * 48

[tex]\frac{x}{100} = \frac{0.5 *48}{16} = \frac{24}{16} = \frac{6}{4} = \frac{3}{2} \\x = \frac{300}{2} = 150\\[/tex]

I guessed 50% is typed wrongly twice so I solved once with 50%

75% of 16 is equal to 50% of 50% of 48.

Percentage of 16 equivalent to 50% of 50% of 48 to be evaluate.

What are percentage?

Percentage is the matter of composition per unit whole composition.

Let x% of 16 = 50% of 50% of 48
x/100 *16 = 1/2*1/2*48
x/100*16 = 12
x = 12/16 * 100
x = 75%

Thus, 75% of 16 is equal to 50% of 50% of 48.

Learn more about percentage here:

brainly.com/question/13450942

#SPJ2

Please help I will put brainliest

Answers

Answer:

=−3125x^10y^25

Step-by-step explanation:

A total of $72,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $9,000, how much will be invested
in each type of investment?

Answers

Let amount in Cd be x dollars. So amount in bonds would be x + 9000.
Given that tots amount is 72000. That is x + x + 9000 = 72000.
So x = CD = $31500
And bonds = 31500 + 9000 = $40500

Help please algebra one ten points !!!

Answers

Answer:

a

Step-by-step explanation:

The answer would be A

A flower vase has a volume of 1480 cubic centimeters (cm3). Use the fact
that 1 inch is equal to 2.54 cm to convert this volume to cubic inches (in).
Round your answer to the nearest tenth. Do not type the units in the space
below.

Answers

Answer:

The volume of the flower vase is 90.3 cubic inches.

Step-by-step explanation:

Dimensionally speaking, volume [tex][V][/tex] is equivalent to the product of length [tex][L][/tex], length [tex][L][/tex] and length [tex][L][/tex]. That is:

[tex][V] =[L]\times [L]\times [L][/tex]

In this case, an inch equals 2.54 centimeters and we proceed to convert the given volume of the flower vase as follows:

[tex]V = 1480\,cm^{3}\times \frac{1\,in\times 1\,in\times 1\,in}{2.54\,cm\times 2.54\,cm\times 2.54\,cm}[/tex]

[tex]V = 90.3\,in^{3}[/tex]

The volume of the flower vase is 90.3 cubic inches.

Florence had already read 13 books this year before joining a book club, I and she plans to read i book every month now that she has joined. If Florence has read 23 books so far, how many months has she been with her book club?​

Answers

Answer:

10 months

Step-by-step explanation:

need help asap!!! if you could please give me the answer

Answers

Answer:

x = 20

Step-by-step explanation:

x-10 / x = 1/2

2*(x-10) = x

2x - 20 = x

x = 20

A small jet can carry up to passengers and crew members. There is a weight restriction of pounds on board. The combined weight of each passenger (or crew member) and his luggage has a mean of pounds, with a standard deviation of pounds. What is the probability that the weight limit will be exceeded when there are exactly passengers and crew members on board? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.

Answers

Complete Question:

A small jet can carry up to 41 passengers and 3 crew members. There is a weight restriction of 9200 pounds on board. The combined weight of each passenger (or crew member) and his luggage has a mean of 197.9 pounds, with a standard deviation of 64.1 pounds. What is the probability that the weight limit will be exceeded when there are exactly 41 passengers and 3 crew members on board? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.

Answer:

The probability that the weight limit will be exceeded when there are exactly 41 passengers and 3 crew members on board is;

0.253

Step-by-step explanation:

a) Data and Calculations:

Capacity of the small jet = 41 passengers and 3 crew members = 44

Weight restriction = 9,200 pounds

Mean of the combined weight of passengers and crew = 8,707.6 (44 * 197.9) pounds

Weight's standard deviation = 2,802.4 (44 * 64.1) pounds

Excessive weight total = 11,528 (8,707.6 + 2,802.4)

Excess weight = Excessive weight total minus Total Weight Restriction

=2,328 (11,528 - 9,200)

Probability of exceeding weight limit = Excess weight/Weight restriction

= 2,328/9,200

= 0.253

El profesor Ricardo consiguió para una comunidad de 48 familia un tanquero con 800 litros con agua y otro tanquero con 430 litro con agua ¿cuantos litros de agua cada familia ?¿crees que sobre agua ?

Answers

Answer:

25.625 litros de agua por familia.

No sobrará agua.

Step-by-step explanation:

En promedio el ser humano tiene que tomar al menos 3 litros de agua al día, con esto en mente y pensando que tienes 48 familias de las cuales en promedio serían 5 personas que conforman cada familia, tendrías que son en total:

48*5=240 personas

Tienes que tener almenos 3 litros de agua para cada persona:

240*3=720

Tienes en total 1230 litros de agua, sólo para cubrir lo que las personas necesitan tomar de agua son 720, falta ver si tienen que lavar, cocinar, limpiar o bañarse, entonces con los 1230 litros conseguidos, no alcanzaría ni para dos días de sólo tomar agua.

What does credit worthiness mean

Answers

Answer:

are you worthy of credit :)

Step-by-step explanation:

Write a quadratic equation in standard form with intergral coefficeints that has the roots 4 and -5.

Answers

Answer:

[tex]the \: quadratic \: equation \: is \to \: \\ \boxed{{x}^{2} + \: x \: -20 = 0}.[/tex]

Step-by-step explanation:

[tex]the \: general \: sandard \: form \: is \: given \: by : \\ ax {}^{2} + bx + c = 0 \to \\ since \: the \: roots \: are : \\ 4 \: and \: - 5 \\ we \: apply \: the \: rule \to \\ {x}^{2} - ( \alpha + \beta )x \: + \alpha \beta = 0 \\ therefore \: \to \\ {x}^{2} - ( 4+ ( - 5) )x \: + 4( - 5) = 0 \\ {x}^{2} + \: x \: -20 = 0.[/tex]

♨Rage♨

If f(x) = 5x, what is y(x)?
1. F^1(x)=-5x 2. F^1(x)=-1/5x 3. F-1(x)1/5x 4. F-1(x)=5x

Answers

Answer:

f^-1 (x) = x/5

Step-by-step explanation:

f(x) = 5x

Replace f(x) with y

y= 5x

Exchange x and y

x = 5y

Solve for y

Divide each side by 5

x/5 = 5y/5

x/5 = y

The inverse is x/5

13 1/3% as a fraction

Answers

Answer:

1,333/100

Step-by-step explanation:

The reason is because a fraction can be divided. A fraction is out of a hundred. 13 by itself is equal to 1300/1000 by itself.

John had a 20 ounce bottle of water. He drank 12 ounces. What percent, p, is left in the bottle?

Answers

Answer:

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Original Volume = 20 ounces

Remaining Volume = 20-12

= 8 ounces

Percentage :

[tex]\frac{8}{20}\times 100\\\\=\frac{800}{20} \\\\Simplify\\\\=40\%[/tex]

it takes adrian 12 min to swim 4 laps.How many hours will it take him to swim 50 laps?

Answers

Answer:

150 minutes

Step-by-step explanation:

what is 6 divided by 3/5

Answers

Answer:

10

brainliest plz? tysm

Hi! I believe your answer is 10. I hope this helps you! Good luck and have a great day. ❤️ (Thank you for the free points, by the way! :))

Please help!!
Mrs. Peterson makes ceramic figurines. She recently made 25 figurines. Of those figurines, 16 are animals. What percent of the figurines are NOT animals?

Answers

Answer:

Depends on how many digits the question wants. If rounded, 38%. Or just 37%

Step-by-step explanation:

She made 25 in all.

16 of them are animal figures. The question is asking what percent is NOT animal figure, so we need to subtract 25 by 16. That gives us 9. To find the percent, we need to divide 9 by the whole, which is 24. 9/24=0.375

The answer is 37% or 37.5% (It depends on how many digits the question is asking for. Also try rounding (38%).

Answer:

B-

Step-by-step explanation:

Bacon egg and cheeseeeeeeee

What's the 10th term of y= 10x - 2. This is math 1 freshman math arithmetic sequence

Answers

Answer:17 is your answer

Answer:

17

Step-by-step explanation:

Is the equation y = 7.9x a linear or nonlinear function? Explain.​

Answers

Answer:

Linear

Step-by-step explanation:

If its linear it fits into the y=mx+b, and this on does so its linear

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