A bookstore has 36 copies of the latest bestseller and they fit exactly on 3 shelves. The bookstore ordered another 120 copies. How many shelves do they need to fit all their copies of the book?

Answer:

Step-by-step explanation:

Heroes in Greek Mythology were men or women of special strength, courage, or ability. They were often of divine ancestry and noted for superhuman courageous acts.

What makes a hero in Greek Mythology?

[tex] \huge \mathfrak \red{HeY \: ThErE♡}[/tex]

No. of mangoes sid has = 15

No. of apples sera has = 6

Total no. of fruits Sidra will have = 15 + 6 = 21

[tex] \huge \mathfrak \red{HoPe \: It \: HeLpS♤}[/tex]

The probability of the event of getting exactly 5 heads in 8 tosses of a coin(assuming unbiased coin) is given by: Option C: 0.219 (approximately).

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value and variance of X are:

[tex]E(X) = np\\ Var(X) = np(1-p)[/tex]

For this case, we've got:

Each coin flip is a bernoulli distribution as it has two possible outcomes (assuming any other outcome like coin landing standing straight etc ignored). Take success = getting head in a flip, and failure = not getting success= not getting head = getting tail as the outcome of the flip.

Now, each of those 8 flips are independent in terms of result of each other (assuming coin stays unbiased).

If we take:

X = number of heads out of those 8 flips = number of successes in those 8 bernoulli trials, then:

[tex]X \sim B(n = 8, p)[/tex]

where p is the probability of success = P(Getting head in an unbiased coin with head or tail as only possible outcomes) = 1/2 = 0.5 (as head can come in 1 way, and total outcomes is 2, all equally likely).

Thus, we get:

[tex]X \sim B(n = 8, p=0.5)[/tex]

Now, P(Exactly 5 heads in those 8 flips) = P(X = 5)

Using the probability function of the binomial distribution, we get:

[tex]P(X = 5) = \: ^8C_5(0.5)^5(0.5)^{8-5} = \dfrac{8\times 7\times 6\times 5\times 4}{5 \times 4 \times 3\times 2 \times 1} \times (0.5)^8 \approx 0.219[/tex]

Thus, the probability of the event of getting exactly 5 heads in 8 tosses of a coin(assuming unbiased coin) is given by: Option C: 0.219 (approximately).

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Answer:

15

Step-by-step explanation:

let the number=x

⅔x=18

2x=54

x=27

Now 5/9 of the number=5/9×27

=5×3=15

If you know what y = x², you can make the parabola more narrow by scaling this by some constant greater than 1 or smaller than -1. For example, y = 2x² or y = -5x². Note that if you pick a negative constant, you would end up reflecting the parabola across the horizontal axis.

To get a wider graph, you would instead scale by some constant between -1 and 1. For example, y = -1/2 x² (scaling by -1/2, or equivalently scaling by 1/2 and reflecting).

Taking the aformentioned details together, you can (1) reflect and (2) narrow the graph by multiplying y = 3x² by a negative constant larger than 1 in magnitude. For example, y = -15x², where we scale by -5.

Y=mx+b form:

y<2/5x+2

y ≥ -1/2x+3

I forgot how to do the inequalities :)

Step-by-step explanation:

Answer:

5a + 1

Step-by-step explanation:

3a + 2a = 5a

2 - 1 = 1

So now we rewrite the problem.

5a + 1

combine like variables and combine whole numbers

2+3a-1+2a

2-1 is 1

and 3a+2a is 5a

so this is 5a+1

Hope this helped

Answer: A) from year 1 to year 2

Step-by-step explanation: subtract 46-38=8, I also just took the K12 test and got it right.

Answer:

A) from year 1 to year 2

Step-by-step explanation:

The volume of the hopper bin is the amount of feed in it

The given parameters are:

Start by calculating the radius (r) of the cones.

r = D/2 -------- because the cones and the cylinder have equal diameters.

So, we have:

r = 36/2 = 18

The height (h) of the cones is:

tan(θ) = h/r

This gives

tan(52) = h/18

Make h the subject

h = 18 * tan(52)

Evaluate

h = 23.04

The volume is then calculated as:

Volume = Volume of cylinder + 2 * Volume of cone

This gives

Volume = πr^2H + 2 * 1/3πr^2h

Volume = πr^2H + 2/3πr^2h

Factor out πr^2

Volume = πr^2(H + 2/3h)

Substitute known values

Volume = 3.14 * 18^2 * (20 + 2/3 * 23.04)

Evaluate

Volume = 35973.85 cubic feet

Hence, the volume of the hopper bin is 35974 cubic feet

The given parameters are:

For a feed that weighs 22 pounds per cubic feet, the weight of the hopper bin would be:

Weight = 22 * 35974 pounds

Weight = 791428 pounds

At 85% full, the weight wuld be:

Weight = 85% * 791428 pounds

Weight = 672713.8 pounds

672713.8 pounds is greater than the weight limit of 500000 pounds.

Hence, the carnival tent can be filled to 85% of its volume and not exceed the weight limit

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Answer: 10

Step-by-step explanation:

Answer: $1,271.88

Step-by-step explanation:

        The total cost of the camera with sales tax included will be 100% plus our sales tax:

100% + 9.75% = 109.75%

        Dividing a percent (%) by 100 gives us a decimal:

109.75% / 100 = 1.975

        We can multiply this decimal by the listed price of the camera to find our answer

643.99 * 1.975 = $1,271.88

     The camera will cost $1,271.88 with sales tax.

By definition of linear independence, the vectors in the set {a, b, c} are independent if

[tex]k_1\vec a+k_2\vec b+k_3\vec c=\vec0[/tex]

can only be obtained with the choice of k₁ = k₂ = k₃ = 0.

This vector equation corresponds to the system of linear equations

[tex]\begin{cases}k_1 - 2k_3 = 0 \\ 2k_1 + k_2 = 0 \\ k_1 + 2k_3 = 0\end{cases}[/tex]

The first equation says k₁ = 2 k₃, while the third one says k₁ = -2 k₃. This can only be possible if k₁ = k₃ = 0, and from the second equation it follows that k₂ = 0. So the given set is linearly independent (and *not* dependent).

Answer:

162.50

Step-by-step explanation:

6500 *  5/12 * .06 =

Answer:

B

Step-by-step explanation:

EZ

Answer:

l+s≥300

2.5l+2.1s≤670

Step-by-step explanation:

A) y − 4

Four less than an unknown value

B) b + 4

Four more than some number

C) a^4

Some number to the power of four

D) 4x

Four times an unknown value

E) z ÷ 4 =

Quotient of a variable and four

Answer: 6/11

Step-by-step explanation:

28 - 7 = 21

16 + 11 - 21 = 6

11 - 6 = 5

16-6 = 10

10 + 5 15

P (a) = 16/28

p (b) = 11/28

A I B = 6/28/11/28 = 6/11

Th anwse is d) :B k .............

Answer:

Step-by-step explanation:

(x+y)/2 - (x-y)/6 = 16

x/3 + (x+2y)/3 = 14

Multiply first equation by 6

3(x+y) - (x - y) = 96

2x + 4y = 96

x + 2y = 48       (A)

Multiply second equation by 3

x  + x + 2y = 42

x + y = 21         (B)

Subtract  A - B:-

y = 27

So:

x + 27 = 21

x = -6.

The quadratic relation

is f(x) = a(x - 27)(x + 6)

=   a(x^2 - 21x - 162)     where a is some constant

Vertex form:

f(x) = a[(x - 10.5)^2 - 110.25 - 162]  

f(x)  = a[(x - 10.5)^2 - 272.25]

f(x) = a[(x - 10.5)^2 -  272.25a.

Answer: sqrt(58)

Step-by-step explanation:

Step-by-step explanation:

11.

As all the exterior angles of a pentagon add up to 360, [ because exterior angle of a polygon = n(360/n) where n = no. Of sides, As the number of sides in a pentagon is 5, n=5. Thus, the sum of exterior angles of a pentagon = 5(360°/5) = 360°.]

THEN,

56 + 2x + 85 + 57 + 4x = 360

6x + 198 = 360

6x = 360 - 198

X = 162/6 = 27

Ans : x = 27

12.

Let the missing angle be x,

As we know that all exterior angles in a pentagon add up to 360 ( Write the same thing written above),

Then,

83 + 83 + 26 + 46 + x = 360

238 + x = 360

X= 360 - 238

X = 122

Answer : the fifth exterior angle = 122°

Hope this helps

Answer:

17.3

Step-by-step explanation:

area of paralellogram=base x height

height=sin(60) x 4= [tex]2\sqrt{3}[/tex]

area = 5 x [tex]2\sqrt{3}[/tex]

        = [tex]10\sqrt{3}[/tex] = 17.3(to nearest tenth)

The new perimeter of the rectangle if the dimensions are quadrupled would be 72 inches.

The perimeter is always obtained by adding all the sides. This means the possible side lengths of the original rectangle are:

5 inches x 4 = 20 inches

4 iches x 4 = 16 inches

20 + 20 + 16 +16= =72 inches

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Answer:B

Step-by-step explanation: Because the  science math Spanish and art. Science: MAD of 1.14, Math: of 1.6, Spanish: MAD of 1.2 Art: MAD of 1.93 In which class were his scores the closest together

Answer:

spanish

Step-by-step explanation:

Answer:

B and D.

Step-by-step explanation:

4(2n) + n

= 8n + n

= 9n.

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✟\:Important\: point's✟ }}}[/tex]

→ Your given expression:- 4(2n)+n

☆ Hence option b (9n) is right ans

[tex]\pink{\underline{ \underline{ \boxed{ \sf{✰\: Option.\:B✓ }}}}}[/tex]

Hope it helps !

Answer:

I pressed this by an accident

to get the LCD we should start by doing a quick prime factoring of each denominator, as you see in the picture below.

the factors in red are the common factors to all values, and they are used in the LCD only once, the other not common factors in blue, they're used in the LCD.

Answer:

6/2(1+2)

First lets simplify whats in the parentheses

6/2(3)

So thats 6/2 * 3

6/2 = 3

3*3 =

9

Answer:

9

Step-by-step explanation:

first, you do (1+2) which is 3 and then you do 6/2 which is 3 then 3x3 is 9

x=-1/8y²

Interchange x and y

Compare to Vertex form y=a(x-h)²+k

Now

.So

Focus (-2,0)

Answer:

(-2, 0)

Step-by-step explanation:

Standard form of a parabola with a horizontal axis of symmetry:

[tex](y-k)^2=4p(x-h)\quad \textsf{where}\:p\neq 0[/tex]

[tex]\textsf{Vertex}=(h, k)[/tex]

[tex]\textsf{Focus}=(h+p,k)[/tex]

Given equation:

[tex]x=-\dfrac18y^2[/tex]

Rewrite in standard form:

[tex]\implies (x-0)=-\dfrac18(y-0)^2[/tex]

[tex]\implies -8(x-0)=(y-0)^2[/tex]

[tex]\implies (y-0)^2=-8(x-0)[/tex]

Comparing with the general standard form:

Therefore:

[tex]\textsf{Vertex }(h,k)=(0,0)[/tex]

[tex]\textsf{Focus }(h+p,k)=(0-2,0)=(-2,0)[/tex]