The probability that at least 12 buy their lunch = 0.887
Given that 73% of students buy their lunch.
⇒ p = 0.73
And q = 1-p
q = 0.27
sample size (the number of student selected) n = 19
We need to calculate the probability that at least 12 buy their lunch.
i.e., P(x ≥ 12)
We use binomial distribution formula, P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
P(X ≥ 12)
= P(X= 12) + P(X= 13) + P(X= 14) + P(X= 15) + P(X= 16) + P(X= 17) + P(X= 18) + P(X= 19) [tex]=~ ^{19}C_{12}(0.73)^{12}(0.27)^{7} + ^{19}C_{13}(0.73)^{13}(0.27)^{6}+ ^{19}C_{14}(0.73)^{14}(0.27)^{5} + ^{19}C_{15}(0.73)^{15}(0.27)^{4} + ^{19}C_{16}(0.73)^{16}(0.27)^{3} + ^{19}C_{12}(0.73)^{17}(0.27)^{2}+ ^{19}C_{12}(0.73)^{18}(0.27)^{1}+ ^{19}C_{12}(0.73)^{19}(0.27)^{0}[/tex]
= 0.1207 + 0.1757 + 0.2036 + 0.1835 + 0.1240 + 0.0592 + 0.0178 + 0.0025
= 0.887
The required proability is 0.887
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i need this answered
Answer:
69 pi is your answer.
How do you calculate the number of seeds per acre?
1. Convert lb./acre to grams/acre
2. Use the TKW to calculate seeds per acre.
What is acre?The imperial system and US customary systems both use acres as a measure of land area.
According to traditional definitions, it is the area of one chain by one furlong (66 by 660 feet), which is exactly equal to 10 square chains, 1640 of a square mile, 4,840 square yards, or 43,560 square feet, and roughly 4,047 m2, or roughly 40% of an acre.
A declared acre is equal to 4,046.8564224 square metres according to the 1959 international yard and pound agreement. Although the word "acre" is typically spelled out, the abbreviation "ac" is sometimes used instead.
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Please help me! I don't understand
Answer: 12
Step-by-step explanation:
The smaller triangles on the right can be proven congruent, so the other side also equals 6. 6+6=12
If f(x) = x + 1 and g(x) = 2x - 7, which expression is equivalent to [fo g|(3)?
ESS:
O (3 + 1)(2(3) -7)
O 2(3)2 - 6
O 2(3 + 1) -7
O (2(3) - 7) + 1
Answer:
O (3 + 1)(2(3) -7)
Step-by-step explanation:
hope it helps you
Answer:
its A
Step-by-step explanation:
on EDG 2021-2022
Please help me with my HW
Answer:
Step-by-step explanation:
(9a⁴b⁷) x (6a³b⁸)
(9 x 6) x (a⁴ x a³) x (b⁷ x b⁸)
54 x a⁷ x b¹⁵ = 54a⁷b¹⁵
Answer:
(9a⁴b⁷).(6a³b⁸)
=54a⁷b¹⁵
What is the perimeter?
Help plz...
And No links!!I repeat No links!!
Answer:
b= 8
Step-by-step explanation:
you use Pythagorean theorem to solve this problem
a² + b² = c²
since you already have a and c and you're missing b you rearrange the formula to:
[tex]c^{2}[/tex]-[tex]a^{2}[/tex] = b²
17² - 15² = b²
64² = b²
[tex]\sqrt{64}[/tex] = b
8 = b
Step-by-step explanation:
To find side b use Pythagoras theorem:
Hypotenuse²=Base²+Height ²
17²=B²+15²
289-225=B²
64=B²
√8=B²
So,
8 yards is Side B
Now,
We can use Heron's Formula
√S(S-A) (S-B) (S-C)
Let's find semi perimeter
17+15+8/2
40/2=20
So, S=20
Let A=8,B=15,C=17
√20(20-8) (20-15) (20-17)
√20×12×5×3
√2×2×5×5×2×2×3×3 (Factorising the numbers)
2×5×2×2×3
120 yards Answer
hope it helps...
John has the option to take the bus or a taxi to work each
day.
.
The bus costs $3. 00 per mile.
The taxi has a flat rate of
$4. 00 plus $1. 00 per mile.
Complete the blanks:
At _____miles, both the bus and the taxi will cost _____ dollars.
At 2 miles, both the bus and the taxi will cost $6.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Given that the fare on bus is $3 per mile.
The taxi fare of taxi is $4. 00 plus $1. 00 per mile.
Assume that at x miles both fare will be the same.
The fare for x miles in bus is $3x.
The fare for x miles in taxi is $4 + $x
Equate to the fares:
3x = 4 + x
Subtract x from both sides:
3x - x = 4
2x = 4
Divide both sides by 2:
x = 4/2
x = 2.
The fare for 2 miles in bus is $3×2 = $6.
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In a recent survey, three out of every five students said they would prefer going to a water park for the class trip.
If 105 students were surveyed, how many can be expected to prefer the water park?
here. hope this helps....
please help and explain
Answer:
look at the picture I sent
Find the measure of MN
Answer:
The measure of arcMN is 60°
Step-by-step explanation:
All the way around the circle is 360°. Two marked arcs are 100° and 140°. AngleMON and AngleNOP are marked equal, which means that ArcMN and ArcNP are also equal. So we can write an equation:
100+140 + x+x =360
combine like terms.
240 + 2x = 360
subtract 240.
2x = 120
divide by 2
x = 60
ArcMN is 60°
NO FILES AT ALL JUST HELP ME
Answer:
4/20
Step-by-step explanation:
Working together, Mary and Trevon can
inflate twenty balloons in 7.34 minutes.
Had he done it alone it would have taken
Trevon 14.1 minutes. How long would it
take Mary to do it alone?
20 balloons in 7.34 minutes? lets do the math! [tex]\frac{20}{7.34\\}[/tex] = 2.73 balloons a minute.
If Trevon took 14.1 minutes, lets do the math, [tex]\frac{20}{14.1}[/tex] = 1.42 balloons a minute, now if we take 2.73, subtract 1.42 from 2.73. 2.73 - 1.42, we get, Drum roll please...................... 1.31 !!! So, with that fact, we get 1.31, so that means Mary would have to blow 1.31 balloons a minute WITH Trevon, now some more math. we take the amount Mary did, 1.31, and the amount of time it took for both, 7.34, we get this problem, 1.31 x 7.34 which equals (yes I'm doing it again) DRUM ROLL PLEASEEEE....................... 9.60!!!!!!!!
So, in the end, the answer is 9.60
~~Best regards
~Akmp
If f(x) = 3 – x2, find f(-2).
Answer:
f(- 2) = - 1
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = 3 - (- 2)² = 3 - 4 = - 1
PLEASE HELP ME WITH THIS QUESTION, ILL BRAINLIEST YOU
Answer:
y = 56.9
Step-by-step explanation:
100 + 13x = 180
13x = 80
x= 80/13
7(80/13) + y = 100
y = 56.9
F(x)=\begin{cases}-2 & \text{ for }\hspace{10px} -6< x <-1\phantom{\frac{1}{1}} \\ -x-3 & \text{ for }\hspace{10px} -1< x <5\phantom{\frac{1}{1}}\end{cases} f(x)={ −2 −x−3 for −6
f(7) = 14 is calculated. Each function is given a domain and a codomain, or scope.
what is function ?The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
We note that x=7 is on 1<x< 9 so we use the second piece. Replace x with 7 and
evaluate to find f(7):
f(7)=2(7)
f(7)=14
so f( 7 ) = 14
f(7) = 14 is calculated. Each function is given a domain and a codomain, or scope.
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A quality control expert found 12 defective cell phones in a shipment of 75 cell phones, based on these results how many cell phones in a shipment of 1500 can be expected to be defective?
Answer:
240 cell phones
Step-by-step explanation:
=12×1500
=18000÷75
=240
6x10^-3 x 2 x 10^-4 =
Please help
Answer:
0.0000012
Step-by-step explanation:
I hope this helps you! :D
Sally collected 4 apples for school lunch, her friend asks if she can have 2 apples from Sally's 4 apples. How many apples would Sally have left if Sally gave her friend 2 apples?
Answer:
can yall look at my post
Step-by-step explanation:
Answer:
2 apples will be left for Sally
Write (2n^(2))^(3) without exponents.
A frictionless pendulum is pulled 3 feet to one side of its center resting point…
A. The amplitude of the sinusoidal function 's' would increase.
B. The midline of the sinusoidal curve will upshift.
What is a periodic function?A function that repeats its values at regular intervals is said to be periodic. For instance, periodic functions include trigonometric functions, which repeat every 2 pi radian. In science, periodic functions are used to describe oscillations, waves, and other periodic events. Aperiodic refers to any nonperiodic function.
We are aware that a periodic function can be used to graph the pendulum's movement mechanism.
A. The pendulum will rise higher on both sides as it is drawn farther away from its resting point; this will result in an increase in the sinusoidal curve's amplitude.
B. The midline of the sinusoidal curve would rise up along the y direction as a result of an increase in magnitude if the pendulum was drawn further away from its resting point.
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A travel guide has dimensions 8 in. by 10 in. What scale factor should be used to make an enlarged version that has dimensions 12 in. by 15 in.
The scale factor for the length is 12/8 = 1.5 and the scale factor for the width is 15/10 = 1.5
So the scale factor used to make an enlarged version is 1.5.
What is the scale factor?A scale factor is a value used to multiply the dimensions of an object in order to increase or decrease its size. It is often represented as a ratio, such as 1:2 or 1/2, which indicates that the new object is half the size of the original object. Scale factors can also be expressed as a decimal or a percentage, such as 0.5 or 50%. Scale factors can be used in various fields such as architecture, cartography, and graphic design.
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What is '__ main __'?
In Python, __main__ is the name of the environment where top-level code is run.
We know that in Python, the main function acts as the starting point of execution for any software program.
As we know the program executes only when it runs directly, and if it is imported as a module, then it will not run, the execution of the program starts only when the main function is defined in Python.
__main__ is the name of the top-level scope in which top-level code executes.
Also, all the functions and modules will be executed in the top-level scope __main___ in the interpreter shell.
Using the top-level scope __main__ increases the reusability.
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What is the value of f(x) if x=5 ?
Answer:
Step-by-step explanation:
f(x)= 32(0.5)^x
f(5)= 32(0.5)^5
f(5) = 1
15. You have 8 employees. How many jobs will each employee have to do if there are 96
work orders?
A. 10
B. 9
C. 16
D. 12
Brian has 64 flowers for a big party decoration. In addition, he is considering buying flower arrangements that have 18 flowers each. All of the arrangements cost the same. Brian can buy up to 5 arrangements given the amount of money he has. Let x represents the number of flower arrangements Brian buys. Write a function rule to describe how many flowers Brian will have based on the number of arrangements he buys. Find a reasonable range for the function.
The function which can which can define the number of flowers in the arrangement is f(x) = 64 + 18x. The domain is found to be [ 0 , 5 ] and the range is [ 64 , 154 ].
Let the number of flowers which is to be calculated be x,
now we know that she already have 64 flowers and that each arrangement will have 18 flowers.
Therefore, the number of flowers can be given by the function , f(x) = 64 + 18x.
Now , we know that the maximum number of flowers which she can buy externally is 5 , which means the domain becomes [0,5] .
To find the range we will put the value of domain in the given function.
when x = 0 ,
f(0) = 64
when x = 5,
f(5) = 154
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The perimeter of a square is 48. If the perimeter is 4 times than before then find the number of times the area becomes of what it was before.
Answer:
12?
Step-by-step explanation:
Lowkey don't understand the last part of your q but if it's 4 times then if the original was 12 48 is four times bigger
Please find the perimeter of this irregular shape. NO LINKS!
Answer:
36
Step-by-step explanation:
Starting at the uppper left and counting the blocks
3 + 2 + 3 + 2 + 4 + 6 + 4 + 2 + 6 + 4 = 36
When two lines intersect the vertically opposite angles so formed are Class 7?
When two lines intersect the vertically opposite angles so formed are equal in measure.
When two lines intersect each other, then the opposite angles, created due to the intersection are called vertical angles or vertically opposite angles.
We can see in the figure two lines intersect each other at a point. Therefore the two pairs of vertically opposite angles are ∠1 and ∠3, ∠2 and ∠4.
From the figure, ∠1 + ∠2 = 180° [Linear pair] eqn(1)
∠2 + ∠3 = 180° [Linear pair] eqn(2)
From eqn(1) and eqn(2), we get
∠1 + ∠2 = ∠2 + ∠3
∴ ∠1 = ∠3
Similarly, we can prove ∠2 = ∠4 also.
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PLS ANSWER ASAP
simplify (-8^3)^2
Answer:
(-8^3)^2
=-8^2*3
=-8^6
=1/8^6
=1/262144
Step-by-step explanation:
Answer:
262144
Step-by-step explanation:
What is __ main __ PY in Python?
The __main__ is a constructor used in python which can be used to check the name of the top-level environment of the program.
It is contained inside the __ main __ PY file package.
Example, __name__ == '__main__' expression.
Python is a programming language which is high level in nature and is mainly used in the field of data science and artificial intelligence . Python is dynamically-typed and garbage-collected. It has a large community of developer and is an upcoming language.
It is easy to learn and evolving language and has a lot of packages and modules which makes it easy to work on it.
It is an interpreted language and a python file is saved using the extension .py .
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