A TV producer wants to analyze the number of songs played in each episode of a TV series. The number of songs played in various episodes is shown below. On the number line, plot points for each of the following statistics. first quartile second quartile third quartile minimum maximum.

Answer:

We know that a number is divisible by 3 if the sum of its digits is a multiple of 3.

if the sum is a multiple of 3 + 1  (like 3*n + 1) the remainder is 1

if the sum is a multiple of 3 + 2 (like 3*n + 2) the remainder is 2.

Then we need to find the sum of all the single digits in the number:

101102103104...149150

the sum of all the single digits is:

( 1 + 1) + (1 + 2) + (1 + 3) + ... + (1 + 4 + 9) + ( 1 + 5)

The method i used is:

(from 101 to 110)

first we sum the hundreds digit 10 times, and then we add the unit digits for each case, this is:

1*10 + (1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 + 1) = 10 + 46

From (111 to 119)

first we add the sum of the hundreds and tens digits 10 times, and then the units:

2*9 + ( 1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 )

now if we also add the number 120 (so we have the range 111 to 120)

the sum becomes:

2*9 + ( 1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 ) + 1 + 2

2*10 + (1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 + 1 ) = 20 + 46

You already can see the pattern here.

in the range from (121 to 130) we will have the sum equal to 30 + 46

in the range from (131 to 140) we will have the sum equal to 40 + 46

in the range from (141 to 150) we will have the sum equal to 50 + 46

Then the total sum is:

(10 + 20 + 30 + 40 + 50) + 5*46 = 380

We know that 380 is multiple of 3 (because 3 + 8+ 0 = 12)

Then the remainder is 0.

Answer: D

Step-by-step explanation: To reflect each point across the y-axis you take the opposite of the x-coordinate

Answer:

Step-by-step explanation:

To find:-

Answer:-

We are here given that the value of,

[tex]\longrightarrow \cos\theta=\dfrac{3}{\sqrt{22}} \\[/tex]

And we know that cosine is the ratio of base and hypotenuse. Therefore,

[tex]\longrightarrow \cos\theta =\dfrac{b}{h} \\[/tex]

So we can also say that,

[tex]\longrightarrow \cos\theta = \dfrac{b}{h}=\dfrac{3}{\sqrt{22}}\\[/tex]

Let us take the given ratio to be 3x:√22x . Now we may find out the value of perpendicular using Pythagoras theorem . The Pythagoras theorem is ,

Pythagoras theorem:-

Mathematically,

[tex]\longrightarrow \boxed{ \boldsymbol{p^2+b^2=h^2}} \\[/tex]

where the symbols have their usual meaning.

On substituting the respective values, we have;

[tex]\longrightarrow p^2+(3x)^2=(\sqrt{22}x)^2 \\[/tex]

[tex]\longrightarrow p^2 = 22x^2-9x^2\\[/tex]

[tex]\longrightarrow p^2=13x^2 \\[/tex]

[tex]\longrightarrow \boldsymbol{ p = \sqrt{13}x} \\[/tex]

Now again , we know that, tangent is defined as the ratio of perpendicular and base. Therefore,

[tex]\longrightarrow \tan\theta = \dfrac{p}{b} \\[/tex]

[tex]\longrightarrow \tan\theta = \dfrac{\sqrt{13}x}{3x}\\[/tex]

[tex]\longrightarrow \boldsymbol{ \tan\theta = \dfrac{\sqrt{13}}{3}}\\[/tex]

Now we may use a identity which is ,

[tex]\longrightarrow\boxed{ \boldsymbol{ \tan (2x)= \dfrac{2\tan x}{1-\tan^2 x}}}\\[/tex]

On substituting the respective values, we have;

[tex]\longrightarrow \tan2\theta = \dfrac{ 2\tan\theta}{1- \tan^2\theta}\\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{2\bigg(\dfrac{\sqrt{13}}{3}\bigg)}{1-\bigg(\dfrac{\sqrt{13}}{3}\bigg)^2 } \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{1-\dfrac{13}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{9-13}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{-4}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = -\dfrac{2\sqrt{13}\cdot 9}{3\cdot 4 } \\[/tex]

[tex]\longrightarrow \boxed{\boldsymbol{ \tan2\theta = -\dfrac{3\sqrt{13}}{2}}} \\[/tex]

This is the required answer .

Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.

Answer:

Step-by-step explanation:

The total of the interest is 1386 so in total it would be 5586

Step-by-step explanation:

A. r=42/2=21

B.

[tex] {21}^{2} \pi + 60 \times 42 = \\ = 441\pi + 2520[/tex]

C.

[tex]42\pi + 60 \times 2 = \\ = 42\pi + 120[/tex]

Answer:

your answer will be P=27

Step-by-step explanation:

hope it helps...

Answer:

Fraction : 3/9

Decimal : 0.33333333 (the .3 continues)

Percent : 33.33333%

Step-by-step explanation:

Dividing 3 by 9 will give you a continous set of 3.

Answer:

56.6 yd

Step-by-step explanation:

in the picture above

pls mark as brainliest

Answer:

f(g(-64)) = -190

Step-by-step explanation:

The functions are not well written.

Let us assume;

f(x) = x+1

g(x) = 3x+1

f(g(x)) = f(3x+1)

Replace x with 3x+1 in f(x)

f(g(x)) = (3x+1) + 1

f(g(x)) = 3x + 2

f(g(-64)) = 3(-64) + 2

f(g(-64)) = -192+2

f(g(-64)) = -190

Note that the functions are assumed but same method can be employed when calculating composite functions

Using composite functions, it is found that:

The composite function of functions f(x) and g(x) is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

Researching the problem on the internet, it is found that the functions are:

[tex]f(x) = (x + 1)^3[/tex]

[tex]g(x) = \sqrt[3]{x} + 1[/tex]

Then, the composite function is:

[tex](f \circ g)(x) = f(g(x)) = f(\sqrt[3]{x} + 1) = (\sqrt[3]{x} + 1 + 1)^3 = (\sqrt[3]{x} + 2)^3[/tex]

At x = -64, we have that:

[tex](f \circ g)(-64) = (\sqrt[3]{-64} + 2)^3 = (-4 + 2)^3 = (-2)^3 = -8[/tex]

Hence:

To learn more about composite functions, you can take a look at https://brainly.com/question/17684028

Answer:

37.5

Step-by-step explanation:

16/46 = 20/(20+x)

or, 16(20+x) = 46×20

or, 320 + 16x = 920

or, 16x = 600

or, x = 600/16

x = 37.5

Answer:

Step-by-step explanation:

The sequence you gave is not arithmetic.  I'm assuming the sequence is

21, 6, -9, -24.

d is the common difference between adjacent terms.

a₂ = a₁ + d

6 = 21 + d

d = -15

nth term = a₁ + (n-1)d = 21 - (n-1)15

Answer:

1895

Step-by-step explanation:

Answer:

Since the division of the number of pedestrians by the number of years yields different values for each ratio, these ratios do not form a proportion.

Step-by-step explanation:

They will form a proportion if the division of the number of pedestrians by the number of years yields the same results.

20 pedestrians : 5 years

20/5 = 4 pedestrians per year.

7 pedestrians : 1 year

7/1 = 7 pedestrians per year.

Since the division of the number of pedestrians by the number of years yields different values for each ratio, these ratios do not form a proportion.

Answer:

200

Step-by-step explanation:

Length*Width*Hight= 4*10*5=200

hope this helps

Answer:  I am pretty sure it is 200

Step-by-step explanation:

I may be wrong sorry if it is have a good day :)

Answer:

top=170mm squared

shape 2=76.27 cm squared

shape 3=62.862 cm squared

Step-by-step explanation:

top shape...

(18x15)-4(5x5)=area

270-4(25)=area

270-100=area

170=area

shape 2...

diameter of circle is 6 so radius is 3...

area=pier^2

a=28.27 and their are two half circles so that makes one whole circle

(8x6)+28.27=76.27 cm squared

shape 3...

total of rectangle with a half circle subtracted.  r=4 d=8

so

11x8=88 for rectangle then subtract half circle

a=pie r^2

a=50.27

50.27/2=25.135 subtract this from rectangle total...

88-25.135=62.862 cm squared

Answer:

5 times

Step-by-step explanation:

1/6·30=5

so your answer is b)5

Can i have a brainliest please or 10 points?

Answer:

200

Step-by-step explanation:

Volume of juice

[tex] = 3.5 \times 6 \times 9 \\ = 189 \\ \approx \: 200 \: {cm}^{3} [/tex]

Answer:

sorry I don't know the answer ,but I want to ask u something ,r u a accounting student if yes please comment.i am also a accounting student but on learning stage so I don't know the answer,

Answer:

12897 square feet

Step-by-step explanation:

So first find the area of the square:  

85 * 85 = 7225

Then, the two semi circles together is a full circle. Use the circle area formula,

A = πr^2

The radius (r) would be half the diameter of the circle. The diameter of the circle would be 85. So half of that is 42.5. The radius is 42.5

Now:

A = π(42.5)^2

A = 3.14(42.5)^2

A = 3.14(1806.25)

A = 5671.625

Lastly, add the two areas up for the square and circle:

7225 + 5671.625 = 12896.625

Round to nearest tenth: 12897

pyramid A: 16 + [tex]8\sqrt{5[/tex]

pyramid B: 400 + [tex]8\sqrt{125[/tex]

pyramid A: 4 by 4= 16 cm.

with a height of 1 and length of 2, we use pythagorean theorem to find height of other surfaces to be square root of 5. area of triangle is 1/2 bh

square root of 5 multiplied by 4 and divided by 2 is 2 root 5

multiply this by 4 sides total for 8 root 5

Add the 8 root 5 to 16

To find pyramid B: use ratio of 25:1 and multiply 16 by 25 to find 400, and root 5 to 125

Answer:

18N

Step-by-step explanation:

According to Newtons second law

F ∝ a

F =  ka

k is the constant of proportionality

When a force of 8 N acts on a certain object, the acceleration of the object is 4 m/s2, hence;

8 = 4k

k = 8/4

k = 2

If a = 9m/s², F = ?

Recall F = ka

F = 2 * 9

F = 18N

Hence the force will be 18N

Answer:

g(-1) = 4

Step-by-step explanation:

Given:

g(x) = [tex] \frac{3x^2 - 2x + 7}{2x + 5} [/tex]

To find g(-1), substitute x = -1

Thus:

g(-1) = [tex] \frac{3(-1)^2 - 2(-1) + 7}{2(-1) + 5} [/tex]

g(-1) = [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]

= [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]

= [tex] \frac{12}{3} [/tex]

g(-1) = 4

Answer:

138.16

Step-by-step explanation:

Answer:

2^6 * 3^3

Step-by-step explanation:

1. 6^3 = (2^3) * (3^3)

2. 2^6 = (2^3)^2

3.  ((2^3) * (3^3) * (2^3)^2) / 2^3

4. (3^3) * (2^3)^3 / 2^3

5. (3^3) * (2^3)^2 = (3^3) * (2^6)

Answer: what are you looking for (d)?  there isnt enough info

Step-by-step explanation:

Answer:

B) 1/3

Step-by-step explanation:

If n=1 and k=3, then 8^n=2^k is true. Therefore, n/k=1/3.