Twenty words are chosen randomly from a fifth-grade science book. Twenty random words are also chosen from a ninth-grade science book. The length of the words chosen are as follows:

5th Grade Textbook: 2, 4, 3, 6, 5, 5, 3, 7, 8, 4, 4, 1, 5, 2, 4, 1, 1, 4, 5, 3

9th Grade Textbook: 7, 9, 3, 4, 12, 9, 5, 3, 4, 3, 9, 4, 8, 6, 5, 7, 9, 4, 8, 6

By looking at the two data sets, which conclusion is reasonable?

Answer:

Step-by-step explanation:

y=k[tex]\sqrt{x}[/tex]

60=k[tex]\sqrt{36\\}[/tex]  =k6

k=60/6 =10

This is your equation

y=10[tex]\sqrt{x}[/tex]

Put the numbers in

80=10[tex]\sqrt{x}[/tex]

80/10=8 then you have to square this so

[tex]8^{2}[/tex]=64

x=64

Answer:

2

Step-by-step explanation:

2

Answer:

17/24

Step-by-step explanation:

1 - (1/6 + 1/8) = 24/24 = (4/24 + 3/24) = 17/24

Explаnаtion is in а file

xlnk․cf/tcMG

Answer:

x^2+4x+4 would make it a perfect square.

Step-by-step explanation:

Answer:

q = ± p/2

Step-by-step explanation:

Given

p = 2q² ( divide both sides by 2 )

 = q² ( take the square root of both sides )

±  = q  p/2

Step-by-step explanation:

[tex]p = 2q^2\\q^2 = \frac{1}{2}p\\q = \pm\sqrt{\frac{1}{2}p}\\q = \pm \frac{1}{2}\sqrt{2p} \qed[/tex] Q.E.D.

Answer:

50

Step-by-step explanation:

You add the 25 + another 25 and that adds up to 50. Hope this helps!

Answer:

The solution is (-1/2, -2)

Step-by-step explanation:

Given 6f-4g=1,6f-6g=5, write these in columnar form:

6f-4g=1

6f-6g=5

Change all of the signs in the first equation:

-6f + 4g = -1

 6f-6g=5

-------------------

     -2g = 4, and so g = -2

Substituting -2 for g in either equation enables us to find f.  Let's use the first equation:    6f - 4(-2) = 5 yields 6f + 8 = 5, or 6f = -3

Then f = -1/2 and g = -2.  The solution is (-1/2, -2)

Answer:

The area in square meter is 412,500 square meters

the price per square meter is 500 pesos per square meter

Step-by-step explanation:

Firstly, let us get the measure of the dimensions in meters

Mathematically, 1000 m = 1 km

Thus;

0.75 km = 0.75 * 1000 = 750 m

The area of a rectangle is the product of its side lengths

mathematically, we have this as;

550 * 750 = 412,500 square meters

To get the price per square meter, we have to divide the price of the whole plot by the area

So we have ;

(206,250,000) pesos / 412,500 square meters

= 500 pesos per square meter

Answer:

23:22

Step-by-step explanation:

Answer:

e21

Step-by-step explanation:

32

Answer:

See explanation below

Step-by-step explanation:

Domain: -5 ≤ x < 4

Range: -1.5 ≤ y < 1 and 3 ≤ y < 5

Hope this helps!

........Option C ) n × 2 = t

Step-by-step explanation:

Hey there!

In (a) part let us take the value of n as 1 first.

n + 2

=> 1+2

= 3

But it doesn't get matched with t.

So, (a) option cancelled.

In (b) part, let us take the value of n as 1.

n - 2

=> 1 - 2

= -1

But this also didn't match with t.

Option (b) cancelled.

In (c) part, let us take the value of n as 1.

n × 2

=> 1 × 2

= 2

Matched! Let us check further. Taking value of n as 2,

=> 2 × 2

= 4

Matched again! So, (c) part is the correct answer.

Let us take the value of n as 1. (For both option (d) and (e))

n + 3

=> 1 + 3

= 4 (wrong)

n + 4

=> 1 + 4

= 5 (wrong)

So, (c) part is the right answer.

Hope it helps :)

Answer:

A person needs to write each month 1.17 checks for the two banks to charge the same amounts in fees.

Step-by-step explanation:

You can write an equation in which the amount charged by bank a is equal to the amount charged by bank b. The amount bank a charges is 6 plus 0.10 for the number of checks written and the amount bank b charges is 5.20 for the number of checks written.

6+0.10x=5.20x, where x is the number of checks written

Now, you can solve for x to find the number of checks written where the two banks charge the same amounts in fees:

6=5.20x-0.10x

6=5.10x

x=6/5.10

x=1.17

According to this, the answer is that a person needs to write each month 1.17 checks for the two banks to charge the same amounts in fees.

Answer:

ok

Step-by-step explanation:

Answer:

There are 12 6th graders

Step by Step Explanation:

Because there are 28 students, you have to make a fraction wuth a denominator of 28. To do that, you have to multiply the denominator of 3/7 by 4 to get 3/28. To get an equivalent fraction, you need to multiply the numerator by 4 too, because whenever you do something to the denominator of a fraction, you must mirror it for the numerator and vice versa. so 3/7 × 4 equals 12/28. So 12 out of the 28 students are 6th graders.

Answer:

16.28 m^2

Step-by-step explanation:

The bottom portion of this figure is a trapezoid with lengths 4 m and 6 m.

Thus, the average length of this trapezoid is 5 m, and the height is 2 m.  This leads to (5 m)(2 m) = 10 m as the area.

The upper portion is a semicircle of radius 2 m.  The area of this semicircle is

A = (pi)r^2 / 2, which here is A = (pi/2)(2 m)^2, or approximately 6.28 m^2.

Thus, the area of the entire purple figure is 16.28 m^2.

Answer:

2 incorrect answers

Step-by-step explanation:

If you take the percentage correct, you will notice its a particularly high score for the amount of questions. In this case, instead of using a really long theorem, its much simpler to just input numbers.

To find your score on a test out of 100%, you take your amount correct and divide it by the total number of questions, then multiply by 100.

If you take 24/25, you get 0.96, which if multiplied 100*0.96=96%

Now its simple, just go 23/25 to get 0.92, multiplied 100*0.92=92% correct, 25-23=2 so the amount of incorrect answers would be 2.

Answer:

B

Step-by-step explanation:

(1×3)/2 +

3×11 +

(6×3)/2

=

1,5+33+9=43,5

Answer:

Step-by-step explanation:

Log both sides:

Correct choice is A

Answer:

A x=9

it's right answer ok

the answer is x = -2

Answer:

Yes, there is a relationship between.

Step-by-step explanation:

From the table, for people younger than 18 years, 317 use outdoor pool while 41 use indoor pool.

Thus;

% younger than 18 that use indoor pools = (41/(317 + 41)) × 100% = 11.45%

% younger than 18 that use indoor pools = (317/(317 + 41)) × 100% = 88.45%

So we can see that there is a relationship whereby the percentage of younger than 18 that use indoor pools is less than that of those that use outdoor poles.

In the same vein, by inspection, percentage of 18 or older that use outdoor poles are more than the percentage of % younger than 18 that use indoor pools.

Thus, there is a relationship between pool type and age group.

9514 1404 393

Answer:

  (1+√2)/2 ≈ 1.207 cm

Step-by-step explanation:

The angled flats are at 45°, so the length in the direction of a vertical or horizontal radius is (1 cm)/√2 = (1/2)√2 cm. The remaining length of that radius is half the length of a flat, so is 1/2 cm. The total length of the radius is ...

  1/2 + 1/2√2 = (1+√2)/2 ≈ 1.207 cm

_____

In trigonometry terms, the length of the flat is ...

  1 cm = 2(r)(tan(45°/2))

so the radius is ...

  r = (1 cm)/(2·tan(22.5°))

  r = (1/2)cot(22.5°) ≈ 1.207

Answer:

x=6

Step-by-step explanation:

I took (6.0) and made an equal sign and gave me 6

Answer:

My best guess will have to be B

Step-by-step explanation:

i remember this question

Answer:

On the 7th week, both Sam and Jill will have the same amount (360 dollars)

Step-by-step explanation: