A research study was conducted to measure the time students focus on a task before being distracted. The box plots show the distributions of attention spans of high school and college students.



Which statements are true regarding the data sets? Select two options.

The median attention span of college students is greater than the median attention span of high school students.
The range of attention span of college students is greater than the range of attention spans of high school students.
The interquartile range of attention spans of college students is greater than the interquartile range of attention spans of high school students.
All of the college students in the study had greater attention spans than the high school students.
The minimum attention span of high school students is greater than the minimum attention span of college students.

Option 'D' is the correct option.

The correct diagram for Beyunka creating is given in option D.

What is Right triangle?

When an angle of a triangle is measure 90 degree then the triangle is called a right triangle.

Given that;

Beyunka is creating a diagram to prove that certain triangle is a right triangle.

Since, The right triangle is satisfy the Pythagoras theorem.

Now, By option D;

Let sides of a triangle are,

Hypotenuse (H) = c

Perpendicular side (P) = a

Then, The base of the right triangle = √H² - P² = √c² - a²

And, All other diagrams are not satisfy the Pythagoras theorem.

Thus, The correct diagram for Beyunka creating is given in option D.

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Answer:

 (a) 9:15

  (b) 6:9

Step-by-step explanation:

Total apples: 15

6 : green

9 are red

9:15

6:9

Answer:

(a) 3 : 5

(b) 2 : 3

Step-by-step explanation:

= 9 apples

= 9 : 15

for simplified form dividing numerator and denominator by 3

= 3 : 5

= 6 : 9

for simplified form dividing numerator and denominator by 3

= 2 : 3

Answers:

You may need to leave off the "square units" portion.

=============================================

Explanation:

For now, ignore the smaller rectangle and its dimensions. The larger rectangle has sides 3x and x+5, which I'll call the length and width.

L = 3x

W = x+5

The perimeter of any rectangle is P = 2(L+W). Plug in those values of L and W, and also the given perimeter P = 66. Isolate x.

P = 2(L+W)

2(L+W) = P

2(3x+x+5) = 66

2(4x+5) = 66

8x+10 = 66

8x = 66-10

8x = 56

x = 56/8

x = 7

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

Now that we know x, we can find the area of the rectangles.

As you probably can guess, the shaded region is the difference of the two areas.

A = area of larger rectangle

A = (length)*(width)

A = (3x)*(x+5)

A = (3*7)*(7+5)

A = 252

B = area of smaller rectangle

B = (x+3)*(x+2)

B = (7+3)*(7+2)

B = 90

C = area of shaded region

C = A - B

C = 252 - 90

C = 162 square units is the area of the shaded region.

Answer:

x ≥5  or  5 ≤x

Step-by-step explanation:

2x ≤ 5x - 15

Subtract 5x from each side

2x-5x ≤ -15

-3x ≤-15

Divide each side by -3, remembering to flip the inequality

-3x/-3 ≥ -15/-3

x ≥5

Check x=10

2*10 ≤5*10 -15

20 ≤50 -15

20 ≤35

True

Answer:

Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

take the derivative and set to zero

c prime = -5 + .25x

0 = -5 + .25x

.25x = 5

x=20

Answer:

Note*: I included the given ones.

Top row: 64^1 — 64^1/2 — 64^ 1/3 — 64^0 — 64^-1/2 — 64^-1

Bottom row: 64 — 32 — 4 — 0 — 1/8 — 0.015625

Answer:

Answer:

15. A. Communtative

18. A. (n . 60) + (n . 5)

Step-by-step explanation:

15. Commutative property states that, if the order of positions of number is changed while performing addition or multiplication, the result remains unchanged.

18. n.65 = (n.60) + (n.5)

Answer:

x = 12.1532°

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Opposite Leg = 4

Hypotenuse = 19

Step 2: Solve for x

Answer:

21

Step-by-step explanation:

Given that :

Number of rooms = 3

Variants of paint available = 7

Since the rooms will be painted with different colors :

Hence,

Number of possible paintings for kitchen = 7 (7 different paints)

This also applies to the other 2 rooms

Hence,

We have 3 * 7 = 21 color arrangements possible.

Answer:

x = log 7

Step-by-step explanation:

10^x=7

Take the log base 10 on each side

log10 (10^x)=log10 (7)

We dont need to write the 10, it is implied

log(10^x)=log (7)

The exponent  goes out front since log a^b = b log a

x log 10 = log 7

log 10 = 1 since the base is 10 log10(10) =1

x = log 7

Answer:

[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]

Step-by-step explanation:

[tex]2x^{2} + x^{3}(\frac{6x}{10} )[/tex]

[tex]2x^{2} + x^{3}(\frac{3x}{5} )[/tex]

[tex]2x^{2} + \frac{3xx^{3}}{5}[/tex]

[tex]\\ 2x^{2} + \frac{3x^{4}}{5}[/tex]

[tex]\frac{5(2x^{2} )}{5} + \frac{3x^{4}}{5}[/tex]

[tex]\frac{5(2x^{2} )+3x^{4}}{5}[/tex]

[tex]\frac{10x^{2} +3x^{4}}{5}[/tex]

[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]

Answer:

it would be 17 if you round the answer or 17.69.

Answer:

-207

Step-by-step explanation:

assume the answer is x

x=15*-16*-23*-1

=-240+23

=-207

answer:

−5520x³

step by step explanation:

15 x ( − 16 ) x ( − 23 ) x ( − 1 )

= 15 * x * ( − 16 ) * x * ( − 23 ) * x * ( − 1 )

= − 5520 * x³

= − 5520x³

Step-by-step explanation:

write what you know

P = 1,000

n = 5 years

Plan 1

i = 0.04 / 2 months = (0.04 / 2 months) x (12 months / year) = 24%

write and solve

future value = p(1+i)^n = 1000(1+0.24)^5

plan 2

i = 0.10 / 6 months = (0.10 / 6 months) x (12 months / year) = 20%

write and solve

future value = p(1+i)^n = 1000(1+0.20)^5

Answer:

x = 2, P = 22 cm, A = 21 cm²

Step-by-step explanation:

The 2 legs of the triangle are congruent , then

6x - 4 = 8 ( add 4 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

perimeter = 8 + 8 + 6 = 22 cm

Area = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 6 and h = 7 , then

A = [tex]\frac{1}{2}[/tex] × 6 × 7 = 3 × 7 = 21 cm²

Answer:

x = 2

Perimeter = 22 cm

Area = 21 cm²

Step-by-step explanation:

=> We know that the 2 side lengths of the given triangle are congruent, because of the congruency mark theorems, therefore to solve for x first, we can say;

6x - 4 = 8

6x = 8 + 4

6x = 12

x = 12/6

x = 2

Now that we know the side lengths of the triangles are 8, 8 and 6, we can find the perimeter;

Side 1 + Side 2 + Side 3 = Perimeter

8 + 8 + 6 = Perimeter

22 = Perimeter

Lastly to find the Area of the triangle, follow the formula of;

A = 1/2 (b * h)

A = 1/2 (6 * 7)

A = 1/2 (42)

Area = 21

Hope this helps!

Answer:

f(x+3) +7

Step-by-step explanation:

We move the green graph 3 units to the left f(x-h)  where h is how many units moved.  We are moving 3 units to the left so h is -3  f(x - -3)

f(x) becomes f(x+3)

Then we move up 7 units

f(x) +k where k is the number of units up or down

f(x+3) +7

Answer:

Er you just multiply by 9.

Step-by-step explanation:

1*9 = 9

3*9=27

1*9=9

27*9=243

The answer:

x: 9

y: 81, 3

x*3

y/3

[tex] \Large{\boxed{\sf F = 1.2 \times 10^{-12} \: N}} [/tex]

[tex] \\ [/tex]

The gravitational force in between two objects can be calculated using the following formula:

[tex] \boxed{\sf F = G \times \dfrac{m_1 \times m_2}{d^2}} [/tex]

Where:

[tex] \\ [/tex]

[tex] \Large{\sf Given \text{:} \begin{cases} \sf m_1 &=\sf 5 \: kg \\ \sf m_2 &=\sf 9 \: kg \\ \sf d &=\sf 50 \: m \\ \sf G &= \sf 6.67 \times 10^{-11} \: N.m^2.kg^{-2} \end{cases}} [/tex]

[tex] \\ [/tex]

Substitute these values into our formula:

[tex] \sf F = 6.67\times 10^{-11} \times \dfrac{5 \times 9}{50^2} = \boxed{\boxed{\sf 1.2 \times 10^{-12} N}} [/tex]

[tex] \\ \\ [/tex]

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Answer:

38

Step-by-step explanation:

Answer:

3.4 × 10^6

Step-by-step explanation:

Answer:

6.3 is closest to the square root of 48

I bet you!

Answer:

6.9

Step-by-step explanation:

[tex]\sqrt{48}[/tex] =6.92820323

So, the closest is 6.9

Answer:

0.6858 meters

Step-by-step explanation:

Answer:

32 $

Step-by-step explanation:

Answer:

y = 2x - 5

y = -x + 1

Step-by-step explanation:

y = 2x - 5

y = -x + 1

the systems have one solution

=> (2, -1)

Answer:

Step-by-step explanation:

[tex]12(4x - 5) + \frac{5}{2}=10[/tex]

Multiply the whole equation by 2

[tex]2*12(4x -5) + \frac{5}{2}*2=10*2\\\\24(4x-5) + 2 = 20\\[/tex]

24*4x - 5*24 + 2 = 20

96x - 120 + 2 = 20

 96x - 118 = 20

Add 118 to both sides

       96x = 20 +118

       96x = 138

Divide both sides by 96

x = 138/96  = 23/16

[tex]x = 1 \frac{7}{16}[/tex]

Answer:

B and D are correct

Step-by-step explanation:

Imagine if c, b, and k were equal to 5.  Then, multiply to figure out how much Mia earned.  Solve the rest of the equations while still using 5 in place of the variables.  If they are the same as your first answer, it is right