Answer:
13
Step-by-step explanation:
First, to find out how many book fit on one shelf, you will need to divide the total number of books by the toal number of shelves:
36 books / 3 shelves = 12 books/shelf
Because the question says that the bookstore order another 120 copies, this is means that the 120 books is in addition to the original 36 books.
Because we already know that the 36 books require 3 shelves, we still need to find how many shelves 120 books needs. So, we can divide books by number of how many books can fit on a shelf:
120 books / 12 books per shelf = 10 shelves
So to find the total number of shelves needed, add the number of shelves together:
3 + 10 = 13 shelves
Suppose the dimensions of a rectangle with a perimeter of 18 inches are quadrupled. Find the perimeter of the new rectangle in inches
The new perimeter of the rectangle if the dimensions are quadrupled would be 72 inches.
What are the side lengths of the first triangle?The perimeter is always obtained by adding all the sides. This means the possible side lengths of the original rectangle are:
5 inches + 5 inches + 4 inches + 4 inchesWhat are the side lengths of the new triangle?5 inches x 4 = 20 inches
4 iches x 4 = 16 inches
What is the new perimeter?20 + 20 + 16 +16= =72 inches
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26. The solutions given by the quadratic formula are
integers. (1 point)
O sometimes
O always
O never
2/3 of a number is 18 work out 5/9 of the number
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
A coin is flipped 8 times. Find the probability of the event: exactly 5 heads a. 0.625 b. 0.03125 c. 0.219 d. 0.0039
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).
How to find that a given condition can be modeled by binomial distribution?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:
A coin is flipped 8 times.To find: P(getting exactly 5 heads)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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#SPJ1
compare 2 1/4 ? 3 1/4
A) >
B) <
C) =
Answer:
B
Step-by-step explanation:
EZ
The area of a triangle is 273 square centimeters. If the base is 21 centimeters what is the height?
Th anwse is d) :B k .............
Josh calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: 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: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:
A camera has a listed price of 643.99 before tax. If the sales tax rate is 9.75%, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
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.
What amount of Interest will be charged on $6500 borrowed for 5 months at a simple
Interest rate of 6%
Answer:
162.50
Step-by-step explanation:
6500 * 5/12 * .06 =
Please help I'll mark brainliest
Answer:
The godsStep-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?
Having one immortal parent. Being born into royalty. Having an unusual conception or birth. Being favored by the gods. Being the subject of a prophesy. Being abandoned at birth or while very young. Performing an amazing feat at a young age. Going on a quest.A politician wants to estimate the proportion of constituents favouring a controversial piece of proposed legislation. Suppose that a 99% confidence interval that extends at most 0.05 on each side of the sample proportion is required. How many sample observations are needed?
Answer:
I pressed this by an accident
can someone help me super quick?
subject is stretching/reflecting quadratic functions
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.
Hii can you help me? 6/2(1+2)
I really stink at math :(
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
PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE "Brainliest" TO THE FIRST CORRECT PERSON!!!
Find the area of the figure. Round your answer to the nearest tenth.
The area is about ___square meters.
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)
Year Speed 1 38 2 46 3 52 4 57 5 61 3) During which time period was the ANNUAL rate of increase of the speed the GREATEST? HELP FAST
A) from year 1 to year 2
B) from year 1 to year 3
C) from year 1 to year 4
D) from year 1 to year 5
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:
Match the verbal expression (term) with its algebraic expression (definition).
Match Term Definition
Four less than an unknown value A) y − 4
Quotient of a variable and four B) b + 4
Some number to the power of four C) a4
Four times an unknown value D) 4x
Four more than some number E) z ÷ 4
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
can someone help with this please
Y=mx+b form:
y<2/5x+2
y ≥ -1/2x+3
I forgot how to do the inequalities :)
Step-by-step explanation:
Please solve with explanation high points
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.
x= -1/8y2
The focus of the parabola is:
O (0, -2)
O (2, 0)
O (-2, 0)
x=-1/8y²
Interchange x and y
y=-1/8x²Compare to Vertex form y=a(x-h)²+k
a=-1/8Now
1/4a1/4(-1/8)-2.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:
k = 0h = 04p = -8 ⇒ p = -2Therefore:
[tex]\textsf{Vertex }(h,k)=(0,0)[/tex]
[tex]\textsf{Focus }(h+p,k)=(0-2,0)=(-2,0)[/tex]
Help help help math math
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
What is the LCD of 1/9,1/27,8/45
HELP ASAP PLEASE
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.
Please explain how to solve these!
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
The hopper bin in the picture below is modeled by the two-dimensional figure beside it. The hopper bin is
composed of a cylinder, and 2 EQUAL cones. Let d be the center of the base of the cone.
52° cylinder cones
The diameter of the hopper is 36 ft and the height of the cylindrical portion is 20 ft. The measure of the acute
angle formed by the slant height of the cone and its base is 52°, determine and state, to the nearest cubic foot,
the volume of the hopper bin.
The hopper bin was constructed to hold a maximum of 500,000 pounds of feed. If feed weighs 22 pounds per cubic foot, can the carnival tent be filled to 85% of its volume and not exceed the weight limit? Justify your
answer.
The volume of the hopper bin is the amount of feed in it
The volume of the hopper bin is 35974 cubic feetThe carnival tent can be filled to 85% of its volume and not exceed the weight limitThe volume of the hopper bin
The given parameters are:
Height of cylinder, H = 20 ftDiameter of cylinder, D = 36 feetAngle, θ = 52°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 weight limit of the hopper binThe given parameters are:
Maximum weight = 500000 poundsFeed weight = 22 pounds per cubic feetFor 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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Calculate the distance between the points G=(-2, 2) and C = (5, -1) in the coordinate plane.
=
Give an exact answer (not a decimal approximation).
Answer: sqrt(58)
Step-by-step explanation:
Richard owns a restaurant. He needs to buy at least 300 glasses. Tall glasses cost $2.50. Short glasses
cost $2.10. He can spend at most $670. Which system of inequalities can Richard use to find the possible
numbers of tall glasses, I, and short glasses, s, he can buy?
Answer:
l+s≥300
2.5l+2.1s≤670
Step-by-step explanation:
In a class of 28 students, 16 play an instrument and 11 play a sport. There are
7 students who do not play an instrument or a sport. What is the probability
that a student plays an instrument given that they play a sport?
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
What us the value of x? This question is pretty easy…. My brain has just given out!
Answer: 10
Step-by-step explanation:
Which expression is equivalent to 4(2n) + n?
A : 8n
B : 9n
C : 6n + n
D : 8n + n
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]
we can easily check whether the given expression is equivalent or not by simply solving the expression by fôllowling algebraic rule→ Your given expression:- 4(2n)+n
★ Let's solve:-➤4(2n)+n➤distributing 4 with 2n gives you ➤8n+n➤then adding like terms➤9n☆ Hence option b (9n) is right ans
[tex]\pink{\underline{ \underline{ \boxed{ \sf{✰\: Option.\:B✓ }}}}}[/tex]
Hope it helps !
if sid has 15 mangoes and sera has 6 apples , what is the total number of fruits with sidra ?
[tex] \\ \\ \\ [/tex]
thankyou ~
[tex] \huge \mathfrak \red{HeY \: ThErE♡}[/tex]
Given,No. of mangoes sid has = 15
No. of apples sera has = 6
Therefore, we gonna add them-,-Total no. of fruits Sidra will have = 15 + 6 = 21
Therefore,Sidra will have 21 fruits.[tex] \huge \mathfrak \red{HoPe \: It \: HeLpS♤}[/tex]
Show that the set a = (1, 2, 1); b = (0, 1, 0); c = (-2, 0, 2) is linearly dependent.
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).