12. The heights of 53 students at Park School are shown in the histogram below.

Height of Students

18

Number of Students

NA ON

44 46 48 50 52 54 56 58 60

Height (inches)

Based on the data in the histogram, which statement is true?

A There are 12 students between 46 and 50 inches in height.

B. Exactly 18% of the students are between 52 and 54 inches in height.

C. More students are between 54 and 60 inches than between 46 and 50 inches in height.

Fewer students are between 44 and 52 inches than between 52 and 60 inches in height.

D

Answer:

1)x=−3/5y+17/5  

2)x=−3/8y+−9/8

Step-by-step explanation:

Let's solve for x.

5x+3y=17

Step 1: Add -3y to both sides.

5x+3y+−3y=17+−3y

5x=−3y+17

Step 2: Divide both sides by 5.

5x/5=−3y+17/5

x=−3/5y+17/5

Answer:

x=−3/5y+17/5  

Let's solve for x.

−8x−3y=9

Step 1: Add 3y to both sides.

−8x−3y+3y=9+3y

−8x=3y+9

Step 2: Divide both sides by -8.

−8x/−8=3y+9/−8

x=−3/8y+−9/8

Answer:

x=−3/8y+−9/8

I HOPE THIS IS CORRECT IF NOT TELL ME AND ILL FIX IT.

Answer:

C. Add 9 to both sides of the equation.

Step-by-step explanation:

Given

[tex]x^2 - 6x = 15[/tex]

Required

Complete the squares

We have:

[tex]x^2 - 6x = 15[/tex]

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

Take the coefficient of -6 i.e. -3

Square it (-3)^2 = 9

Add 9 to both sides

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

Hence, C is correct

Answer:

[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]

Step-by-step explanation:

Given

[tex](4x - 3)(5x - 8)[/tex]

Required

Identify and correct error

The error is when the inner and outer terms are multiplied. i.e.

[tex]4x * -8 = -32x[/tex] not 32x

[tex]-3 * 5x = -15x[/tex] not 15x

So, the expression is:

[tex](4x - 3)(5x - 8) = 20x^2 - 32x -15x + 24[/tex]

[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]

Answer:

6

Step-by-step explanation:

The third digit to the right of decimal point is in the thousandths place. The fourth digit to the right of decimal point is in the ten thousandths place and so on.

In the decimal number 24.736, the digit which is at the thousandth place will be 6.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We know that the number starts from the tenths after the decimal.

....123.456..

The expansion of the number is given as,

... + 100 + 20 + 3 + 0.4 + 0.05 + 0.006 + ......

The expansion is written in form of words. Then

Hundreds + Tens + Ones + Tenths + Hundredths, Thousandths, and so on.

In the decimal number 24.736, the digit which is at the thousandth place will be 6.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

9514 1404 393

Answer:

  C. A horizontal stretch by a factor of 5/4

Step-by-step explanation:

Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.

Answer:

B

Step-by-step explanation:

Hi there!

We are given the points (-1,2) and (3,3) and we need to find the slope.

The formula for slope calculated from two points is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) are points

since we have two points, we can substitute them into the formula, but let's label their values to avoid any confusion

[tex]x_{1}[/tex]=-1

[tex]y_{1}[/tex]=2

[tex]x_{2}[/tex]=3

[tex]y_{2}[/tex]=3

now substitute into the formula (m is the slope); remember: we have a negative number in this, so we'll be subtracting a negative.

m=[tex]\frac{3-2}{3--1}[/tex]

simplify

m=[tex]\frac{3-2}{3+1}[/tex]

m=[tex]\frac{1}{4}[/tex]

so B is your answer

Hope this helps! :)

Answer:

350

Step-by-step explanation:

Use PEMDAS.

[tex]300+45-9*2+22-1+2[/tex]

300+45-18+22-1+2

345-18+22-1+2

327+22-1+2

349-1+2

348+2

350

A translação é o movimento que a Terra realiza em torno do Sol, sendo que ela demora 365 dias, 5 horas e 48 minutos para completá-lo. Esse movimento é o responsável direto pela existência das estações do ano. Como o eixo de inclinação do nosso planeta é de 23º27', há períodos em que os dias são maiores que as noites (solstícios de verão), períodos em que as noites são maiores que os dias (solstícios de inverno) e períodos em que eles possuem a mesma duração (equinócios de primavera e outono).

Answer:

51, 104, and the next number of series is 185

Step-by-step explanation:

I hope this will help u

Answer:

the next number in the sequence should be 45

Work it out yourself lad

Answer:

three

Step-by-step explanation:

answer might be 3... shortest name length

Answer:

n = -4

Step-by-step explanation:

1. the sum of 5 and some number translates to 5 + x.

2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).

3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4

4. Now you can solve the equation. When solved, the answer is n = -4

Answer:

try 492.43, this should be correct if I did this right

ln(20) + ln(5) = 2 ln(x)

ln(20×5) = ln(x ²)

ln(100) = ln(x ²)

100 = x ²

x = 10

Answer:

20

Step-by-step explanation:

Have a nice day :)

Answer:

[tex]Mean=79[/tex]

[tex]\sigma=30.3951.[/tex]

Step-by-step explanation:

From the question we are told that:

[tex]Age Bracket :19-20[/tex]

[tex]5th\ percentile = 42[/tex]  

[tex]50th\ percentile = 79[/tex]  

[tex]95th\ percentile = 142.[/tex]

Generally the mean Median and mode of the 50th percentile is are all equal

[tex]Mean=Median=Mode[/tex]

Therefore

[tex]Mean=79[/tex]

Generally for Normal distribution

[tex]5th\ percentile\ = mean - 1.645*\sigma[/tex]  

[tex]95th\ percentile\ = mean + 1.645*\sigma[/tex]

Therefore

[tex](95th\ percentile\ - 5th\ percentile) = 2*(1.645*SD).[/tex]

[tex]\sigma=(95th\ percentile\ - 5th\ percentile)/3.29[/tex]

[tex]\sigma=\frac{142-42}{3.29}[/tex]

[tex]\sigma=30.3951.[/tex]

Answer:

5 and 3 is vertical. 4 and 6 are vertical. 2 and 1 are supplementary angles.

Answer:

i don't get it

Step-by-step explanation:

Answer: An orthocenter is the intersection of three: Altitudes in a triangle.

Step-by-step explanation:

Altitude--

An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.

Orthocenter--

An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In  a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.

9514 1404 393

Answer:

  420 mm³

Step-by-step explanation:

The volume is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

The triangular base area is given by the formula ...

  A = 1/2bh

  A = 1/2(10.5 mm)(10 mm) = 52.5 mm²

Then the volume of the prism is ...

  V = (52.5 mm²)(8 mm) = 420 mm³

Answer:

p = 5(8)(6.88)

p = $275.20

angle QRS = 51°

The diagram for the question has been attached to this response.

From the diagram, some circle theorems can be applied.

Circle theorem:

The angle subtended by an arc of a circle at the centre is twice the angle subtended by it at any other point on the remaining part of the circle.

From the diagram, QR is the arc and therefore:

∠QSR = 2 x ∠ QTR

Since ∠QTR = 39°

=> ∠QSR = 2 x 39°

=> ∠QSR = 78°

Other theorem:

(i)The base angles of an isosceles triangle are equal.

Triangle QSR is an isosceles triangle, therefore, angles SQR and QRS are equal. i.e

∠SQR = ∠QRS

(ii) The sum of angles of a triangle is 180°. i.e

∠SQR + ∠QRS + ∠QSR = 180°

Since ∠SQR = ∠QRS and ∠QSR = 78°

=> ∠QRS + ∠QRS + 78° = 180°

=> 2(∠QRS) = 180° - 78°

=> 2(∠QRS) = 102°

Divide both sides by 2

=> ∠QRS = 51°

Therefore, angle QRS = 51°

Answer:

12 / 15

Step-by-step explanation:

4/5 = x /15

15 / 5 = 3

So multiply both numerator and denominator by 3

4/5 * 3/3 = 12 / 15

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

To get this fraction, we multiply top and bottom by 3

4*3 = 12

5*3 = 15

We get the value 3 through trial and error, or you can note how 15/5 = 3.

Answer:

[tex]\sigma_x = 2000[/tex]

Step-by-step explanation:

Given

[tex]\sigma = 4000[/tex]

[tex]n = 4[/tex]

Required

The sample standard deviation

The sample standard deviation cannot be calculated directly. However, we can use the value of standard error because standard error approximates to sample standard deviation.

So, we have:

[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]

[tex]\sigma_x = \frac{4000}{\sqrt 4}[/tex]

[tex]\sigma_x = \frac{4000}{2}[/tex]

[tex]\sigma_x = 2000[/tex]

Hence, the sample standard deviation is 2000

Answer:

2/23

Hope this helps!

9514 1404 393

Answer:

Step-by-step explanation:

The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.

The largest enclosed area is (32 m)² = 1024 m².

__

The smallest area will be that of an enclosure consisting of a double-row of fence: 64 m long and 0 m wide.

The smallest enclosed area is (64 m)(0 m) = 0 m².

_____

"Whole numbers" include zero. If you want the lengths to be Natural numbers, then the smallest area will be 63 m long and 1 m wide, or 63 m².

Answer:

yes 6 lines are symmetry