The heights of two groups of students in different grades are shown in the box-and-whisker plot below.


Which statement correctly compares the two data sets?

A.
The range of group A is less than the range of group B.

B.
The median of group A is less than the median of group B.

C.
The interquartile range of group A and group B is the same.

D.
The first quartile of group A is greater than the first quartile of group B.

write the above equation in the form of y = g(x).

⇒ y = (0.5)x + 3 – 4

Now, we convert the equation into y = mx + c form.

⇒ y = (0.5)x - 1

Here, we see that m = slope = 0.5, and c = y-intercept = -1.


Hence, the graph of g(x) = (0.5)x + 3 – 4 is a straight line with slope = 1/2 and y-intercept = -1.

Answer:

13.33 miles

Step-by-step explanation:

let the miles per gallon = X

from the question,

200miles--------------15gallons

X miles-------------------1 gallon

cross multiplying

X×15 = 200×1

dividing bothsides by 15

X= 200/15

X= 13.33 miles.

Before Logan accepts any of the job offers in the several cities that he got, he must consider the cost of living in each location.

When moving to a new city, certain considerations are of utmost importance to the individual irrespective of the kind of job he/she does.

Before Logan accepts any of the job offers in the several cities that he got, he must consider the cost of living in each location.

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Answer:

I believe the answer is A. Cost of living in each location

Step-by-step explanation:

Answer:

See below for answers and explanations

Step-by-step explanation:

4! = 4*3*2*1 = 24

0! = 1

2! + 3! = 2*1 + 3*2*1 = 2 + 6 = 8

3! * 4! = 3*2*1 * 4*3*2*1 = 6 * 24 = 144

10! / 7! = 10*9*8*7*6*5*4*3*2*1 / 7*6*5*4*3*2*1 = 10*9*8 / 1 = 720

The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.

For the Jumping Jackrabbits and the Leaping Lizards, the mean and the MAD are given as follows:

M = (70 + 65 + 72 + 80 + 73)/5 = 72

MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.

M = (61 + 47 + 70 + 63 + 54)/5 = 59

MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.

The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.

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Answer:

a = 12

Step-by-step explanation:

Pythagoras’ Theorem

a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

From inspection of the triangle:

Substituting these values into the formula and solving for b:

⇒ a² + 9² = 15²

⇒ a² + 81 = 225

Subtract 81 from both sides:

⇒ a² + 81 - 81 = 225 - 81

⇒ a² = 144

Square root both sides:

⇒ √(a²) = √(144)

⇒ a = 12

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the value of a using Pythagoras theorem ~

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a {}^{2} = {15}^{2} - {9}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a= \sqrt{225-81} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a= \sqrt{144} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a= 12\: units[/tex]

The coterminal  angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.

Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have an angle:

290 degree

To find the coterminal angle, add and subtract 360 degree in the angle 290 degree.

Coterminal angle = 290 + 360 = 650 degree

                               = 290 - 360 = -70 degree

Reference angle = 360 - 290 = 70 degree

Thus, the coterminal  angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.

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Answer:

x = 45

Step-by-step explanation:

Solve the entire figure first

First right triangle:

A = 36

B = 48

C = _

Using Pythagoras theorem to find the hypotenuse

a² + b² = c²

Plug in:

36² + 48² = 84²

1,296 + 2,304 = 3,600

Find the square root of √3600

⇒ √3600 = √( 2 × 2) × (2 × 2) × (3 × 3) × (5 × 5)

⇒ = 2 × 2 × 3 × 5

⇒ 60

The hypotenuse of the bottom right triangle is 60.

Now that we have the given value of the missing line separating both right triangles.

A = 60

C (hypotenuse) = 75

To find the missing side,

use this formula:
c² - a² = b²   ---> hypotenuse minus the given side value

Plug in:

75² - 60² = 2,025

Find the square root:

⇒ √2025 = √ ( 3 × 3 ) × ( 3 × 3 ) × ( 5 × 5 )

⇒ 3 × 3 × 5

⇒ 45

Therefore, the missing x value on the second right triangle is 45.

Answer:

42 cm²

Explanation:

cut into 2 rectangles

area of rectangle: Length * Width

Answer:

Increasing, because it's going from a negative number to a positive number

Step-by-step explanation:

Answer:

1 : 2 : 5

Step-by-step explanation:

20 : 40 : 100 ( divide each part of the ratio by 20 , the HCF of 20, 40, 100 )

= 1 : 2 : 5

Answer:

|-2| + 2

Step-by-step explanation:

-4 / 2-5i

cos (x) / 1 - sin squared (x)

|-2| + 2

Answer:

Step-by-step explanation:

[tex]\sf -5x^5*y^5 *(-6xy^3) = (-5)*(-6) *x^{5+1}*y^{(5+3)}\\[/tex]

                               [tex]\sf = 30x^6y^8[/tex]

Answer:

50.24

Step-by-step explanation:

8 is the radius of the circle, so using A=πr^2, the equation would be A=(3.14*8^2)/4

(Dividing by 4 because we are solving for 1/4 of a circle, and substituting pi for 3.14)

(3.14*8^2)=200.96

200.96/4=50.24

The first step is to Prepare. Heidi wants to make a 30 pounds of molasses solution. She mixes and solution together. How much mixture does she make?

Answer:

there no data

Step-by-step explanation:

Find the median of the first and third quartiles81, 69 ,90, 79, 59, 125, 95, 116, 183, 97, 92, 50, 122, 55, 9250, 55, 59, 69, 79, 81, 90,   92,     92, 95, 97, 116, 122, 125, 183.The first quartile: 50, 55, 59, 69, 79, 81, 90: median of the first quartile is 69The third quartile: 92, 95, 97, 116, 122, 125, 183: median of the third quartile is 116.The interquartile range is the difference between the median of both the first and third quartile:  which is 116 - 69 = 47.There are no outliers in this set of data

Answer:

O 0.50

Step-by-step explanation:

when x = 0, the probability is 0

when x = 1, the probability is 0.1

when x = 2, the probability is 0.2

when x = 3, the probability is 0.125

when x = 4, the probability is 0.05

Answer:

1/3

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

         = (3 -1)/ (3 - (-3))

         = 2/ 6

         = 1/3

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}}[/tex]

What is the slope of the line that

passes through these two points? (-3, 1) ,(3, 3)?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Use the slope formula:-

[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\bigstar[/tex] Replace the letters with numbers:-

[tex]\sf{\dfrac{3-1}{3-(-3)}}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\sf{\dfrac{2}{3+3}}[/tex]

[tex]\bigstar[/tex] On further simplification,

[tex]\sf{\dfrac{2}{6}}[/tex]

[tex]\bigstar[/tex] Which results in

[tex]\boxed{\mathrm{Slope=\frac{1}{3}}}[/tex]

[tex]\rule{300}{1}[/tex]

the answer of the question is :

200 games because the square root of 2 is 4

Answer:

[tex]csc54[/tex]°

Step-by-step explanation:

[tex]sec36[/tex]° = [tex]\frac{1}{cos36}[/tex]

and; [tex]\frac{1}{cos36} = \frac{1}{sin 90 -54}[/tex]  ... (co-functions)

and [tex]\frac{1}{sin90-54} = csc54[/tex]  .... (csc in the reciprocal of sin)

Answer: C option

Step-by-step explanation:

Since the drawing is 5x more than real object then we have to divide the numbers

a= 35/5 = 7

b= 30/5 = 6

c= 15/3 = 3

Answer:

-2 7/6, -1 3/4, -1 1/2, 1/8

Step-by-step explanation:

The "greater" the number is when it's negative, the less value it actually holds. Therefore, -1 3/4 is less than -1 1/2!

The graphed inequality can be written as:

y < -(4/3)*x + 5

At first, we can notice two things, the shaded region is below the line, and the line is a dashed line, so we know that the inequality will be:

y < linear equation.

The linear equation is something like:

y = a*x + b

By looking at the graph, we can see that the line passes through (0, 5) and (3, 1).

So the y-intercept is 5.

And the slope is:

a = (1 - 5)/(3 - 0) = -4/3

So the linear equation is:

y = -(4/3)*x + 5

And the inequality is:

y < -(4/3)*x + 5

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Answer:

Step-by-step explanation:

 Linear pair: When the uncommon arms of two adjacent angles form a straight line, the adjacent angles are called linear pair and they add upto 180

3)  ∠3 + ∠2 = 180

     65 + ∠2 = 180

             ∠2 = 180 - 65

When parallel lines   are intersected by  transversal, alternate exterior angles are congruent.

a // b and d is transversal.

  ∠5 = ∠11

 ∠5 = 100°

When  parallel lines are intersected by transversal, the alternate interior angles are congruent.

a // b and c is transversal

m∠13 = ∠3

  ∠13 = 65°

4)    ∠3 &  ∠14 are co-interior angles. Co-interior angles are supplementary.

∠3 +  ∠14 = 180

65 +  ∠14  = 180

           ∠14 = 180 - 65

           ∠14 = 115°  

∠5 +  ∠8 = 180    {Linear pair}

 100 +  ∠8 = 180

             ∠8 = 180 - 100

             ∠8= 80

∠9 =  ∠11 {vertically opposite angles are congruent}

∠9 = 100

∠ 3 + ∠14 + ∠ 8 + ∠9 = 65 + 115 + 80 + 100

                                   = 360°

Answer:

82 nails

Step-by-step explanation:

4.97 and 5.03   are both one standard deviation from the mean...

z scores    . 8413    and  .1587

.8413 - .1587 = .6826    or    68.26 %  of the nails are in this range

68.26 %  *  120 = ~82 nails

Answer:

Use Law of Cosines

Step-by-step explanation:

1079²= 590² + 494²- (2)(590)(494) cos θ.

Answer:

-32 , 64

Step-by-step explanation:

This is a geometric sequaence and each term is obtatained by multiplying the previous number with the common ratio 'r'

          [tex]\sf \boxed{r = \dfrac{second \ term }{first \ term}}[/tex]

[tex]\sf r =\dfrac{4}{(-2)}[/tex]

r = -2

The next two terms ,

   Fifth term = 16 *(-2) = -32

  Sixth term  = (-32) * (-2) = 64

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

           What are the next two terms of the following sequence?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

The next two terms are -32 and 64.

[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]

                First of all, let's identify what kind of sequence this is.

The two main types of sequences are:

In the given sequence, we use multiplication, so we're dealing with a [tex]\textit{geometric sequence}[/tex].

In order to get to the next term, we multiply by -2.

So in order to find the next two terms of the sequence, we take the previous term and multiply it by -2 as follows:

16•(-2)=-32

We've found the 5th term of the geometic sequence.

Now let's find the 6th:

-32•(-2)=64 (the product of a negative and a negative results in a positive)

The next two terms in the sequence are -32 and 64.

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