The data set represents the total number of pencils each student in a class needs to sharpen.

0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9

Which box plot correctly represents the data?

A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.

Answer:

C

Step-by-step explanation:

substitute 2.1 for 't' in the given equation

h = 113.391

Answer:

p³ + q³ is -9

Step-by-step explanation:

[tex]{ \tt{ {(p + q)}^{3} = ( {p}^{2} + {q}^{2} + 2pq)(p + q) }} \\ { \tt{ {(p + q)}^{3} = ( {p}^{3} } + 3p {q}^{2} + 3 {p}^{2} q)} \\ { \tt{ {p}^{3} + {q}^{3} = {(p + q)}^{3} - 3pq(p + q)}} \\ { \tt{ {p}^{3} + {q}^{3} = {(3)}^{3} - 3(4)(3) }} \\ = - 9[/tex]

Answer:

5.30

Step-by-step explanation:

Total cost = flat fee + cost per mile * number of miles

              c(m)  = 3.50 + .60m

Let m=3

c(3)  = 3.50 + .60(3)

    = 3.50 + 1.80

    =5.30

Answer:

B: $5.30

Step-by-step explanation:

Each mile is $0.6, to get the result for 3 miles we would need to multiply $0.6 by 3. $0.60 * 3 = $1.8. Finally we would need to add the 3.50 to $1.8 resulting in $5.30

Answer:

16⅜ cups

Step-by-step explanation:

Start by getting the same denominator on both fractions and by eliminating the mixed fraction. So our problem is:

15¾ cups + ⅝ cups = ?

15¾ = 63/4 = 126/8

126/8 + ⅝ = 131/8 = 16⅜

Answer:

x = 30

Infinite Solutions

No Solutions

Step-by-step explanation:

First, combine like terms

Then move all variable to one side and isolate them by undoing the action being done to them

Example 1:

6x + 4x - 6 = 24 + 9x

10x - 6 = 24 + 9x

-9x                 -9x

x - 6 = 24

  +6     +6

x = 30

Example 2:

25 - 4x = 15 - 3x + 10 -x

25 - 4x = 25 - 4x

Since they are the same on both sides, this equation has Infinite Solutions

Example 3:

4x + 8 = 2x + 7 + 2x -20

4x + 8 = 4x - 13

-4x        -4x

8 = -13

This statement is untrue, therefore this equation has No Solution

Answer:

225 degrees

Step-by-step explanation:

Given the following data;

To find the angle in degrees subtended by an arc;

Mathematically, the length of the arc of a circle is given by the formula;

S = rA

Where;

Substituting the values into the formula, we have;

22 = 5.6 * A

[tex] A = \frac {22}{5.6} [/tex]

A = 3.9286 radians.

Next, we would convert the value of the angle in radians to degrees;

Conversion:

[tex] 1 \; radian = \frac {180}{\pi} \; degrees [/tex]

[tex] 3.9286 \; radians = X \; degrees [/tex]

Cross-multiplying, we have;

[tex] X = \frac {180}{\frac {22}{7}} * 3.9286 [/tex]

[tex] X = \frac {180 * 7}{22} * 3.9286 [/tex]

[tex] X = \frac {1260}{22} * 3.9286 [/tex]

[tex] X = 57.2727 * 3.9286 [/tex]

X = 225.0015 ≈ 225 degrees

Answer:

for the second one,

f(4)= 2⁴-7= 9

g(4)= 1.5x4-3= 3

therefore 9>3

f(4)>g(4)

Answer:

540m^3

Step-by-step explanation:

There are many kinds of prisms, if you were asking for a rectangular prism, then we do 3 * 5 * 36 = 540m^3.

Answer:

the answer is 540

Step-by-step explanation:

because 3x5x36=540

Answer:

Step-by-step explanation:

When you learn calculus you'll be able to do this by hand (without a calculator) but for now we have to just kind of guess. We know that 8 x 8 = 64 and 9 x 9 = 81, so the number is between 8 and 9. Since 68 is closer to 64 than it is to 81, the number is closer to 8. Like less than 8.5. 8.1 squared is 65.61, (you can do this by hand...without a calculator) and 8.2 squared is 67.24, and 8.3 squared is 68.89. 8.3 squared is too high while 8.1 squared was too low; the estimation to the nearest tenth is 8.2

2.8 mm

2mm^2=4mm

4mm+4mm = 8mm

square root of 8mm is 2sqrt2

2sqrt 2 is 2.8 mm

Answer:

[tex]\left(\dfrac{8}{7} , \ \dfrac{17}{35} \right)[/tex]

Step-by-step explanation:

The given system of equations is presented as follows;

[tex]\dfrac{s}{2} + 5 \cdot t = 3[/tex]

3·t - 6·s = 9

Making t the subject of both equations, gives;

In the first equation; t = (3 - s/2)/5

In the second equation; t = (9 + 6·s)/3

Equating both values of t to find the the values that satisfies both equations, gives;

(3 - s/2)/5 = (9 + 6·s)/3

3 × (3 - s/2) = 5 × (9 + 6·s)

9 - (3/2)·s = 45 + 30·s

45 - 9 = (30 + (3/2))·s

36 = (63/2)·s

s = 36/(63/2) = 8/7

t = (3 - s/2)/5

∴ t = (3 - (8/7)/2)/5 = 17/35

Therefore, the ordered pair is (8/7, 17/35)

Answer:

[tex] \sqrt[]{ \frac{0}{0} } [/tex]

Explainion are shown in pictures above

Answer:

1. 144⁰

2. 60⁰

Step-by-step explanation:

The formula to find the measure of the interior angles of a regular polygon is:

m< = (n - 2) • 180/n where n = the number of sides

For a decagon, there are 10 sides.

m< = (10-2) • 180/10 = 144°

A regular polygon/equilateral triangle is defined as having equal sides and angles.

Answer:

given ABCDEFGHIJ is a decagon

As we know the sum of all ten interior angles of a decagon = 1440°

so measure of each angle of decagon = (1440/10)° = 144°

so the measure of ∠A would be 144° (C)

given Δ ABC is a equilateral triangle

As we know the sum of all three interior angles of a equialter traingle = 180°

so if one angle of an equilateral triangle is 60°

then the remaining of the angles would have the measure of 60° each

So answer = 60°(B)

Hope it helps

Answer:

4 triangles and 1 square

Step-by-step explanation:

Required

The shapes in two-dimensional net of a square pyramid

To do this, I will attach an attachment of a 2D net of a square pyramid (see attachment)

From the attachment, we can see that:

The 2d shape of the pyramid is made of 4 triangles and 1 square

Answer:

D

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

f(x)= 4^(2x) -100

Let x =2

f(2)= 4^(2*2) -100

   = 4^4 - 100

   = 256 -100

   = 156

Answer:

3.375 cm^2

Step-by-step explanation:

The area of a parallelogram is given by

A = bh  where b is the base and h is the height

A = 2.25 * 1.5

A =3.375 cm^2

Area = length x height

Area = 2.25 x 1.5

Area = 3.375 cm^2

Answer:

37.3

Step-by-step explanation:

tan63 = opposite/adjacent = x/19

x = 19tan63 = 37.2895 = 37.3

Formula used: [tex]b=\sqrt{c^2-a^2}[/tex]

a = 19

b = x

c = 63

solution

b = [tex]\sqrt{c^2-a^2}[/tex]

b = [tex]\sqrt{63^2-19^2}[/tex]

b = [tex]\sqrt{3,969 -361}[/tex]

b = [tex]\sqrt{3,608}[/tex]

b = [tex]\sqrt{60.0666}[/tex]

rounded off: 60.0 or just 60

x = 60

Answer:

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

Given n(A)=7

n(B)=9

n(A∪B)=14

Substituting in 1

14=7+9−n(A∩B)

⇒n(A∩B)=16−14=2

Step-by-step explanation:

ok

Answer:

The question is incomplete.

It should be:

Find n(U)

Find n(A∩B):

Answer:

25%

Step-by-step explanation:

profit percentage = (profit/cost price) * 100

selling price = 600

profit = 600 * 20/100 = 120

cost price = 600-120 =480

profit percentage = (120/480) * 100 = 25

Answer:

i think it is d

Step-by-step explanation:

because 0^2 is 0 and -8^2is64

then,64+0=64 so i think that is what they mean by that hope it helps

Answer:

y = √(1×8) = 2√2

z = √(8×9) = 6√2

Answered by GAUTHMATH

Answer:

[tex]y=2\sqrt{2}[/tex]

[tex]y\approx 2.82843[/tex]

Step-by-step explanation:

The given triangle is a right triangle, this is indicated by the box around one of the angles in the triangle. The Pythagorean theorem is a property that applies to right triangles, this property comes in the form of an equation, which can be simply put as the following:

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle of the right triangle. The parameter (c) indicates the hypotenuse or the side opposite the legs of the right triangle.

Look at the smallest triangle in the entire image. Using the Pythagorean theorem, one can form an equation and solve for the unknown parameter, (y).

[tex]a^2+b^2=c^2[/tex]

Substitute,

[tex](1)^2+(y)^2=(3)^2[/tex]

Simplify,

[tex](1)^2+(y)^2=(3)^2[/tex]

[tex]1+y^2=9[/tex]

[tex]y^2=8[/tex]

[tex]y=\sqrt{8}[/tex]

[tex]y=2\sqrt{2}[/tex]

[tex]y\approx 2.82843[/tex]

Answer:

brah, where's the triangle

Step-by-step explanation:

looooooooooooooooooooooooooool

The type of transformation in this situation is refelction on the x-axis.

It cannot possibly be translated or rotated around the origin.

Hope this helps!

Have a wonderful day!

Answer:

3.6

Step-by-step explanation:

the ratio of AB to AD is 3/5 so the ratio of BC to DE is also 3/5, therefore BC=3/5 DE= (3/5)6= 3.6

Answer:

65%

Step-by-step explanation:

120 * x = 78

78/120 = x

.65 = x

Answer:

35%

Step-by-step explanation:

First, set up the equation.

Then solve.

78-120 is -42.

Divide by 120. -0.35.

Multiply by 100. -35.

The negative sign means that it is decreasing, so you can take it away.

I hope this helps!

Answer:

96

Step-by-step explanation:

We have to find number of 9 digit palindromes  when all digits are even and each digit appearing not more than twice.

Digits used here

0,1,2,3,4,5,6,7,8,9

Total number of even digits=0,2,4,6,8=5

Now,

0 cannot be used for first place if number is 9-digit number.

Firs place can be filled by number of ways=4

Second place can be filled by number of ways=4

Third place can be filled by number of ways=3

Fourth place can be filled by number of ways=2

Fifth place can be filled by number of ways=1

Total number of ways=[tex]4\times 4\times 3\times 2\times 1[/tex]

Total number of ways=96

Hence, total number of 9-digits palindromes  when all digits are even and appearing not more than twice=96

Answer:

Player B.

Step-by-step explanation:

Player A has a mean score of 25.

Let's calculate Player B's mean score and compare it to Player A's.

23 + 27 + 28 + 22 + 25 / 5 = 125 / 5 = 25.

So, Player A and Player B have the same mean score.

This doesn't tell the scout which player is "better", so let's look at the variance.

The other statistic given for Player A is the standard deviation for their points. The given number is 4. Let’s calculate the standard deviation for Player B, and compare it to player A.

Recall that we add up the squares of the difference between each score and the mean, divide it by the total number of data, and square root that. So, the standard deviation for player B is sqrt(2^2 + 2^2 + 3^2 + 3^2 + 0^2 / 5) = sqrt (26/5) = sqrt (5.2) = 2.3.

Excellent. We have player A’s standard deviation, as well as player B’s standard of deviation. Since player B’s standard deviation is less than player A’s, it can be inferred that player B has more consistent results than player A, and the scout should get Player B.

Hope this helps!

Answer:

C.

Step-by-step explanation:

Dis means apart and junc means join so disjunction means the "state of being disconnected".