Which statement is true about the box plots? Select three options.

Both box plots show the same range.
Both box plots show the same interquartile range.
The data for Mr. Ishimoto has an outlier.
Mr. Ishimoto had the class with the greatest number of students.
The smallest class size was 24 students.

Answer:

58.5

Step-by-step explanation:

3x11=33

3x3=9

3x11/2=16.5

16.5+9=25.5

25.5+33=58.5

Step-by-step explanation:

Use the Pythagorean Theorem ( [tex]a^{2}+b^{2} =c^{2}[/tex] )

The longest side is c = the hypotenuse, and a and b = the other sides of the triangle.

a = 4                              First: [tex]4^{2}+x^{2}=8.5^{2}[/tex]

b = x                         Second: [tex]16+x^{2}=72.25[/tex]  

c = 8.5                          Third: [tex]x^{2}=56.25[/tex]

                                  Fourth: [tex]x=\sqrt{56.25}[/tex]

                                      Fifth: x = 7.5

Answer:

1 3/7 or 10/7

Step-by-step explanation:

2 is also known as 14/7. 14/7 - 4/7 is equal to 10/7 or 1 3/7.

Answer:

.33333 or rounded .33

Step-by-step explanation:

There are 4 months that end in an r

This means that 1 third of the months end in r or .33

Answer:

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x+14=-12

-13x=-16

x=2

Answer:

640 cm ^2

Step-by-step explanation:

40x4x4 = 640

let's say b = 20 and h = 4

1/2(20)(4) = 40

scale by 4

b= 80 h = 16

1/2(80)(16) = 640

Answer:

(-1, 3)

Step-by-step explanation:

replace the occurrences of y in the equation

(x + y = 2) with x + 4

x + x + 4 = 2

2x + 4 = 2

solving for x in the first equation

2x = 2 - 4

2x = -2

2x/2 = -2/2

x = -1

replacing all occurrences of x in y = x + 4 with -1

y = (-1) + 4

y = 3

therefore the pairs are (-1, 3)

Hope it helps!

Answer:

1/2

Step-by-step explanation:

y = mx + b is slope intercept form.

b = y intercept. where the line first passes through on the y axis

that number is 3.

y = mx + 3.

to find M (slope) you have to do RISE / RUN.

Run is going left or right from a point

Rise is going up or down from a point.

To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.

From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.

So, the slope is 1/2.

Answer:

Step-by-step explanation:

Formula:

r = √[ (3 * v) / (π * h) ]

Answer:

1

Step-by-step explanation:

the first one because if you take the expression that you want, and expanding it out, you will get the first one.

Answer:

A

Step-by-step explanation:

(a^2)^3 (b^5)^3

The powers multiply when written like this. They don't add.

a^6 b^15

A

Answer: 4

Step-by-step explanation:

Answer:4

Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16

Answer:

would not be able to use 3 1/2 ft

Step-by-step explanation:

8.5 + 4.5 > 3rd side   ∴ 3rd side must be less than 13 feet

4.5 + 3rd side > 8.5   ∴ 3rd side must be greater than 4 feet

Answer:

c

Step-by-step explanation:

divide the two numbers.

Answer:

i think its d

Step-by-step explanation:

i might be wrong tho

Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.

Longer, proper answer:

The first five terms in the series expansion of sin(x) are

sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!

Now let x = 4π/5:

sin(4π/5) ≈ 0.5884

so again the answer must be C.

Trigonometric series :  A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.

Option c is correct.

First five term of Trigonometric series of sin is shown below,

   [tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]

substitute x = [tex]\frac{4\pi }{5}[/tex]

  [tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]

After solving,

We get, approximation value of    [tex]sin\frac{4\pi }{5}=0.5884[/tex]

Now find , actual value

              [tex]sin\frac{4\pi }{5}=0.5878[/tex]

Learn more:

https://brainly.com/question/23159335

The answers are 4 and 8.

Because:

x^2 - 12x + 32 =

(x - 4)(x - 8)

x - 4 = 0

   +4    +4

x = 4

x - 8 = 0

  +8    +8

x = 8

The Answer would be C) 88

Answer:

29

Step-by-step explanation:

18+3|6-25|-11

21+19-11

29

Answer:

the quotient of a number y and negative three point six is less than six point five.

Answer:

2/6

Step-by-step explanation:

if you want to roll a 3 or a 4 and there are 6 possible outcomes then you have a 2 out of a six chance of rolling a 3 or 4

Answer:

25

Step-by-step explanation:

ratio 5:6

[tex]\frac{5}{6} = \frac{x}{30}[/tex]

6x = 5(30)

6x = 150

x = 25

1.The Chord Intersection Theorem:

If 2 chords of a circle are AB and CD and they intersect at E, then

AE * EB = CE * ED.

Problem.

Two Chords AB and CD intersect  at E.  If AE =  2cm , EB = 4 and CE = 2.5 cm, find the length of ED.

By the above theorem : 2 * 4 = 2.5 * ED

ED = (2 * 4) / 2.5

= 3.2 cm.

2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.

2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.

3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.

A radius that meet the chord at center C, and divides it into two equal parts.

So that;

AC = CB = 5 units

Applying Pythagoras theorem to ΔOCB,

OC = d, CB = 5 units and OB = 13 units

=  +  

169 = 25 +  

169 - 25 =  

144 =  

⇒ d =  

      = 12 units

Therefore, the chord is at a distance of 12 units to the center of the circle

Answer: 97

Step-by-step explanation:

10+3+3+33+33+15

Answer:

StartFraction 1 Over 16 EndFraction of a pound

Step-by-step explanation:

Total pounds of sunflower seeds Jordan bought = 9/16 of a pound

Number of snack bags for his lunch = 9

What is the weight of sunflower seeds in each snack bag?

Weight of sunflower seeds in each snack bag = Total pounds of sunflower seeds Jordan bought / Number of snack bags for his lunch

= 9/16 ÷ 9

= 9/16 × 1/9

= (9*1) / (16*9)

= 9 / 144

= 1/16

Weight of sunflower seeds in each snack bag = 1/16 of a pound

Answer:

1/16 of a pound aka A is the correct answer.

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

We want to find out how much each person gets per box, so all we have to do is divide the three boxes by three and the 8 by three to get how much each person gets. When we do that, we get 3/8. Literally, that means each boy gets 3/8 of a box of cereal.

Answer:

9 ≤ x ≤ 7

Step-by-step explanation:

2x – 3 ≤ 11 or –8x – 10 ≤ – 82

We shall determine the value of x in both case.

2x – 3 ≤ 11

Collect like terms

2x ≤ 11 + 3

2x ≤ 14

Divide both side by 2

x ≤ 14/2

x ≤ 7

–8x – 10 ≤ – 82

Collect like terms

–8x ≤ – 82 + 10

–8x ≤ – 72

Divide both side by –8

x ≤ – 72 / –8

x ≥ 9 (since we divided by a negative sign)

9 ≤ x

Combining both answers

x ≤ 7

9 ≤ x

Thus,

9 ≤ x ≤ 7