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What is the equation for the line of reflection?
A.x=6
B.y=6
C.y=x
D.y=2

For each part, compare distributions (1) and (2) based on their medians and IQRs. The reasoning is explained is given.

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data point. To find the median, firstly arrange the data points in ascending order.

The middle number in the distribution of the provided data is known as the median. The range of values in the center of the scores is known as the interquartile range, or IQR.

(a). (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20

Since all the values are identical except the highest, the distributions' median and IQR will be equal.

(b). (1) 3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9

The median is higher for the second distribution because in the case of (2) the middle number is larger.

Since the final few digits in the second distribution are higher, the IQR would be wider for the second distribution, resulting in a greater third quartile for the second distribution than the first distribution.

(c).  (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10

Given that every number in the second distribution is greater than every other number in the first distribution, the median of the second distribution is higher than that of the first distribution.

Since there are the same number of items in both distributions and each number in both distributions is 1 larger than the preceding number, the IQR of both distributions would be identical.

(d). (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000

Since all the values in the second distribution are higher than those in the first in this situation, the second distribution will have a higher median. Given that the spread of the numbers is wider in the second distribution than it is in the first, the second distribution will likewise have a higher IQR.

Therefore, the reasoning is explained.

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Answer:

Hence, we fail to reject the null ;

There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%

Step-by-step explanation:

Given that :

Sample size, n = 900

p = 0.37

p0 = 0.34

H0 : p = 0.34

H1 : p > 0.34

Right tailed test:

Decision region:

Reject Null if ;

Zstatistic > Zcritical

Zcritical at α 0.02 = 2.05

Hence

Reject H0 : if Zstatistic > 2.05

Zstatistic = (p - p0) / sqrt((p0(1-p0))/n)

= (0.37 - 0.34) / sqrt((0.34(1-0.34))/900)

= 1.8999

1.8999 < 2.05

Zstatistic < Zcritical

Hence, we fail to reject the null ;

There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%

Answer:

I have no idea

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

A=bh

A=11x22

A=242 mm

Answer:

1 just 1 i need 20 characters but ok

Explanation:

If p = 1/3, then 3p = 1 after multiplying both sides by 3

We can show the steps like this

3p = 3(p) = 3(1/3) = 3/3 = 1

Answer:

The answer is 3 : 7 .

Hope it helped

All the best !!

Answer:

OH I love Amanda Gorman!

Step-by-step explanation:

Answer:

136 people

Step-by-step explanation:

$462.40 divided by 3.40 is 136

Answer:

3 nights

Step-by-step explanation:

total charge = rate times time interval

Here, time interval = total charge / rate

                               $750 = ($250/night)(n nights)

                                Solving for n, we get n = 3 (nights)

An equation for a couple stayed in a standard room for x nights and their total room charge is $750 is, 250x  = 750

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

The rate charged for a standard room is $250 dollars

A couple stayed in a standard room for x nights

Total room charge =  $750

Equation = ?

Total charge = 250 × x

Total charge =  750

So,

250x  = 750

Thus, an equation is 250x  = 750

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Answer:

-.5

Step-by-step explanation:

Answer:

B=0.5 or 1/2

its correct please give brainliest!!!

Answer:

Step-by-step explanation:

180+220+88 = 488 km

2.5+4.4+2.2 = 9.1 h

(488 km )/(9.1 h) = (488/9.1 km)/h ≈ 53.6 km per hour

Answer:

1932

Step-by-step explanation:

Answer:

1932

...................

Answer:

the question is invalid. please rewrite the question.

Answer:

E

Step-by-step explanation:

You have to get t^2 in the first equation.

x = t^3                         Take the cube root of both sides

[tex]\sqrt[3]{x} = \sqrt[3]{t^3}[/tex]

[tex]\sqrt[3]{x}=t[/tex]                         Now square both sides

[tex](\sqrt[3]{x})^2 = t^2[/tex]

[tex]x^\frac{2}{3} = t^2[/tex]

Now you can substitute into the second equation

y = t^2 - 2

y = [tex]x^\frac{2}{3}[/tex] - 2

E

Answer:

$220

Step-by-step explanation:

4% of 1100=$44

$44 × 5 years=$220

Answer:

the answer is D

Step-by-step explanation:

hard to explain it with just words and not be able to show you step by step

Answer:

hgyt67rdjhhrgytr7ugjv. hgehalk4

Step-by-step explanation:

Answer:

Step-by-step explanation:

9²+9²=162

√162 ≈12.7

so base is a right angled triangle with sides 12.7,9,9

area of base and top=2×1/2×9×9=81 cm²

area of sides=(9+9+12.7)×8

=30.7×8=245.6 cm ²

total surface are =81+245.6=326.6 cm²

volume=1/2 ×9×9×8=324 cm³

Answer:

the answers are a and d

Step-by-step explanation:

x+x+x=3x and you can't add a constant (2) to a variable(3x) so it would just be 3x+2

Answer:

x < 2x

Step-by-step explanation:

Answer:

a = 4.5

b = 2.5

Step-by-step explanation:

The question is incomplete.

Complete question

If (a+b)+(a-b)i=7+2i find a and b

Compare the terms on both sides

a+b = 7

a-b = 2

Add both equations

a+a = 7+2

2a = 9

a = 9/2

a = 4.5

Recall:.

a+b = 7

4.5+b = 7

b = 7-4.5

b = 2.5

I got 70

Combination=n!/((n-r)!r!)

=8!/((8-4)!*4!)

=8*7*6*5*4!/(4!*4!)

=8*7*6*5/(4*3*2)

=70 ways

Answer:

Step-by-step explanation:

The polynomial is already factored.

Answer:

W=1 4/5 feet

L= 2 2/5 feet

Step-by-step explanation:

3L = 4W     L = 4W/3

2L+2W = 8 2/5

Substitute L

2(4W/3)+2W = 8 2/5

8W/3+2W = 8 2/5

multiply both sides by 3

8W+6W = 24 6/5

14W = 25 1/5

Divide both sides by 14

14W/14 = (25 1/5)/14

W = (126/5)/14 = 9/5 = 1 4/5

Substitute for W

L = 4(1 4/5)/3

L = (4)(9/5)/3 = (36/5)/3 = 12/5 = 2 2/5

The perimeter is an enclosed area of any two or one-dimensional shape.

The perimeter of a rectangle is given by:

[tex]\rm P = 2 ( L + B )[/tex]

The length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and the width of the rectangle is [tex]\rm 1\dfrac{4}{5} feet[/tex].

This can be calculated by:

Given,

Let,

Since,

3L = 4W

[tex]\rm L = \dfrac{4W}{3}[/tex]

Substituting the value of L in the equation of perimeter:

[tex]\rm 2(\dfrac{4W}{3}) + 2W = 8 \dfrac{2}{5}[/tex]

[tex]\rm \dfrac{8W}{3} + 2W = 8 \dfrac{2}{5}[/tex]

Now multiplying the left and right sides by 3 we get:

[tex]\rm 8W+6W = 24 \dfrac{6}{5}[/tex]

[tex]\rm 14W = 25 \dfrac{1}{5}[/tex]

Now divide both sides by 14:

[tex]\rm \dfrac{14W}{14} =\dfrac{(25 \dfrac{1}{5})}{14}[/tex]

[tex]\rm W = \dfrac{(\dfrac{126}{5})}{14} \\\\= \dfrac{9}{5}[/tex]

[tex]\rm W = 1 \dfrac{4}{5}[/tex]

Now substituting the value of W, length can be calculated:

[tex]\rm L = \dfrac{4(1 \dfrac{4}{5})}{3}[/tex]

[tex]\rm L = \dfrac{(4)\dfrac{9}{5}}{3} \\\\= \dfrac{(\dfrac{36}{5})}{3} \\\\= \dfrac{12}{5}[/tex]

[tex]\rm L = 2 \dfrac{2}{5}[/tex]

Therefore, length is  [tex]\rm 2 \dfrac{2}{5} feet[/tex]  and width is [tex]\rm 1\dfrac{4}{5} feet[/tex].

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Answer:

[tex] \frac{288}{ - 32} = \frac{ - 9}{1} \\ = - 9[/tex]

Answer:

the simplest form of 288/-32 is 91.

Step-by-step explanation:

hope this helps sorry if im wrong

Answer:

x = 5.61

Step-by-step explanation:

Applying the knowledge of similarity between two figures, thus:

Height of flag : height of Tommy = shadow length of flag : shadow o

Length of Tommy

30:5.5 = (25 + x) : x

30/5.5 = (25 + x)/x

30×x = 5.5(25 + x)

30x = 137.5 + 5.5x

30x - 5.5x = 137.5

24.5x = 137.5

x = 137.5/24.5

x = 5.61 (nearest hundredth)

Answer:

436 students

Step-by-step explanation:

Original number of students enrolled = 200students

% increase = 118%

Increment = 118% of 200

Increment = 1.18 * 200

Increment = 236

The year enrollment = 200 + 236

The year enrollment = 436 students

Answer:

The remaining piece measures 16 m

which agrees with answer D

Step-by-step explanation:

In order to make a square of area 25 m^2, we need a square of side 5 m ,

Area of square = side^2

25 = side^2   then each side = 5 m

therefore the person needed 4 times 5 m  to create the square, that is 20 m for the square. Therefore the piece that is left can be calculated with the difference:

36 m - 20 m = 16 m

The remaining piece measures 16 m

SLOPE is the picture.

Point-Slope form is y+1=-1/2*(x+2)

The y=mx+b form is y=-1/2x-2

i hope its not confusing lol