Answer:
54 - 28
Hope this helps :)
The compatible numbers to substitute is 54 - 28
How to determine the compatible numbers to substituteFrom the question, we have the following parameters that can be used in our computation:
Estimate 53.8 - 27.6
This means that we approximate the numbers in the expression
using the above as a guide, we have the following:
53.8 = 54
27.6 = 28
Hence, the compatible numbers to substitute is 54 - 28
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The curved surfaces area of a right circular cylinder is 264 sq. metres and its volume is 924 cu.metres. The diameter and height of the cylinder is
Bill is 30 years old. He has just started a new job, and he cycles to work. The
probability of having a serious accident on any given day is 10E−4
(and the days are independent of each other as far as cycling accidents are concerned). He works 250 days per year, and will work for 35 years before retiring to North Hatley–unless a cycling accident catches up with him first.
a) What is the probability that he gets through his career without a serious
cycling accident?
b) Thirty years pass. Bill continues to cycle, and has never had a serious
accident. However, the probability of accident on any given day remains 10E−4
Is the probability that he will get through his entire career without an accident the
same? If so, explain why. If not, calculate it and interpret.
Using the binomial distribution, we have that:
a) 0.4168 = 41.68% probability that he gets through his career without a serious cycling accident.
b) Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.
For each day, there are only two possible outcomes. Either there is an accident, or there is not. The probability of there being an accident on a day is independent of any other day, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
0.0001 probability of an accident on a given day, thus [tex]p = 0.0001[/tex]250 days, for 35 years, thus the number of days is [tex]n = 250(35) = 8750[/tex].Item a:
The probability is P(X = 0), thus:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{8750} = 0.4168[/tex]
0.4168 = 41.68% probability that he gets through his career without a serious cycling accident.
Item b:
The probability changes, as we consider now just five years.The number of days is now [tex]n = 250(5) = 1250[/tex].Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{1250} = 0.8825[/tex]
Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.
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Given m || n, find the value of x and y.
m
(8x-5)
(y+16)
n
(5x-10)
Answer:
x=6
y=9 so it is the answer....
Determine the value of the information in scientific notation.
The moon is approximately 3.63 × 108 meters from Earth.
What is 3.63 × 108 in standard notation?
Answer:
3.63× 108, this is not a scientific notation.
It should be like this:
3.63×10^8
=3.63×1.00000000/ 3.63×1.E8
=3.63
Answer:363,000,000
Step-by-step explanation:
Whats the answer to this question? ( Branliest )
Answer:
50
Step-by-step explanation:
p = 8
q = 6
p / 4
= 8 / 4
= 2
pq
= 8 x 6
= 48
p / 4 + pq
= 2 + 48
= 50
50
Hope this helped you- have a good day bro cya)
Graph the given equation by evaluating integer values of x from -2 to 2 and plotting the resulting points.
y = -2x - 4
Graphs are created from functions and equations.
See attachment for the graph of [tex]\mathbf{y = -2x - 4}[/tex]
The equation is given as:
[tex]\mathbf{y = -2x - 4}[/tex]
When x = -2, we have:
[tex]\mathbf{y = -2(-2) - 4 = 0}[/tex]
When x = -1, we have:
[tex]\mathbf{y = -2(-1) - 4 = -2}[/tex]
When x = 0, we have:
[tex]\mathbf{y = -2(0) - 4 = -4}[/tex]
When x = 1, we have:
[tex]\mathbf{y = -2(1) - 4 = -6}[/tex]
When x = 2, we have:
[tex]\mathbf{y = -2(2) - 4 = -8}[/tex]
So, the points on the graph are:
[tex]\mathbf{(x,y) = (-2,0)(-1,-2)(0,-4)(1,-6)(2,-8)}[/tex]
See attachment for the graph of [tex]\mathbf{y = -2x - 4}[/tex]
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What is the Lcm of 22 and 33 using prime factorization
My answer would be 66
The LCM of 22 and 33, using prime factorization, is 66.
What is Number system?A number system is defined as a system of writing to express numbers.
We have to find LCM of 22 and 33 using prime factorization
Factor each term into prime factors
22 = 2 x 11
33 = 3 x 11
Identify all of the unique prime factors of these two numbers.
Finally, we can find the LCM by multiplying each of these prime factors raised to their highest power that appears in either of the two factorizations.
LCM(22, 33) = 2x 3 x 11
LCM(22, 33) = 66
Therefore, the LCM of 22 and 33, using prime factorization, is 66.
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what is the domain of y=x^2-17
Answer:
The Vertex Form of a Parabola is:
g(x) = a(x - h)2 + k
vertex = (h, k)
rate = a (positive is up; negative is down)
a = -1/4 (downward parabola)
vertex = (17, 61)
There is no domain restriction.
Since the parabola is upside down (downward-facing), it reaches it's maximum at its vertex. In other words, is not possible for g(x) to be greater than 61.
Step-by-step explanation: hope this helped:/
Find the sine ratio of angle O. Hint: Use the slash symbol (/) to represent the fraction bar, and enter the fraction with no spaces. (4 points)
Hello,
Correct Answer is 12/3
Step-by-step explanation:-For angle theta, perpendicular side is AB=12 and hypotenuse side is BC=13.
The sine of angle is equal to the ratio of perpendicular side to the hypotenuse side. So, sine of angle theta is:-
[tex]sin \: θ = \frac{12}{3} [/tex]
So, sine ratio angle is 12/3.
{ Note: Here, the ratio is written using slash (/) symbol as it is asked to use the slash symbol in the answer. }
✍️ By Benjemin ☺️
What is 2/5 + (1/5)2
Answer:
Answer in picture below
Answer:
2/5 + 2(1/5) = 2/5 + 2/5 = 4/5 = 0.8 or 80%
what property is -8(x-3)=-32
Answer:
-8(x-3)=-32
(x-3)=-32+8
(x-3)=-24
x=-24+3
x=-21
a(b+c)=a(d-e) solve for b
Answer:
b = - c + d - e
abcdefghijklmnopqrstuvwxyz
Anyone know this!? Plz heppl
Answer:
-2+I nhgjkhgggggcdffdssssdddddfffyhjbnj
what percent of 235 is 148.05
Answer:
63% is the correct answer hope this helps
Choose all the numbers that could be common denominators for 11/12 and 4/5.
Answer:
60
Step-by-step explanation:
list down the multiples of 12 and 5 to find the answer
HOPE THIS HELPS YOU
60 is the numbers that could be common denominators for 11/12 and 4/5.
What is multiplication?In mathematics, multiplication can be stated as a method of finding the product of two or more numbers. It is one of the important or primary arithmetic operations, that we use in everyday life.
here, we have,
given that,
11/12 and 4/5.
We have to do, the multiples of 12 and 5 to find the answer.
i.e. 12 * 5 = 60
so, 60 is the numbers that could be common denominators
Hence, 60 is the numbers that could be common denominators for 11/12 and 4/5.
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Five times the sum of a number and 3 is the same as 3 times the number decreased by 7
Answer:
18
Step-by-step explanation:
5(n+3) =3(2n-1)
5n+15 =6n-3
18=n
The ratio of men to women working for a company is 5 to 4. If there are 162 total, how may women work for the company
Answer:
72 women
Step-by-step explanation:
sorry it let me answer now
=============================================================
Work Shown:
m = number of men
w = number of women
The ratio of men to women is 5 to 4, which means m/w = 5/4
We can cross multiply and solve for m like so
m/w = 5/4
4m = 5w
m = 5w/4
m = 1.25w
Because there are 162 people total, we then can say:
m+w = 162
1.25w + w = 162
2.25w = 162
w = 162/(2.25)
w = 72
There are 72 women at this company and m = 1.25w = 1.25*72 = 90 men
m+w = 90+72 = 162
m/w = 90/72 = (5*18)/(4*18) = 5/4
Both of those two equations above help confirm our answer.
A building has 2 front doors, 2 doors on the left side, 2 back doors and 2 doors on the right side. How many different ways can you enter and leave the building if you enter through the front door and then leave through any of the other doors?
12 because you can enter through 2 front doors. Let's call them A and B. You enter through A and you have 6 doors to leave through. You enter through B you have 6 doors to leave.
what is the inverse of g?
g(x) = 3/x+7
Given function :-
[tex]\bf \implies g(x) = \dfrac{3}{x}+7[/tex]
To find its reverse , substitute y = g(x) .[tex]\bf \implies y = \dfrac{3}{x}+7[/tex]
Interchange x and y .[tex]\bf \implies x = \dfrac{3}{y}+7[/tex]
Solve for y .[tex]\bf\implies \dfrac{3}{y}= x -7 \\\\\bf\implies y =\dfrac{3}{x-7} [/tex]
Replace y with f-¹(x) .[tex]\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}[/tex]
Hey ! Can anyone help me with this question please ? Thank you
Answer:
x=131°
Step-by-step explanation:
180°-49°=131°
<x is corressoping to the the angle next to <49°, so if you were to move it up there, it would be a linear pair or supplmentary angles, which equal 180°.
Newton uses two properties ti rewrite the expression (4x23)x25 identify the properties he used why would Newton use these properties
The two properties newton used to rewrite the expression are;
- Associative Property; Because it involves change of grouping of numbers in the expression.
- Distributive Property; Because it involves distribution of a number outside a bracket to numbers inside that same bracket.
This involves algebraic properties. There are 3 major types that work on only addition and multiplication namely;- Associative Property
- Commutative Property
- Distributive Property
Let us define each of them;
1) Associative Property; This property in algebra is one that means that no
matter how we group the numbers, we will still get the same result. e.g.
x + (y + z) = (x + y) + z.
2) Commutative Property; This property means that we can change the
order of operation and still get the same answer. For example;
p × q × r = p × r × q
3) Distributive Property; This property means that multiplying the sum of
two or more which are in a bracket by a number outside the will be equal to
the answer gotten when we multiply each number in the bracket
individually by the number outside and then adding their respective
products together. For example; p(q + r) = (p * q) + (p * r)
Newton has the expression; (4 × 23) × 25
Since it is multiplication, he can use any of the three properties above but let us use the associative and distributive properties as they are most suited to this expression.
For the associative property as shown above, he will arrive at;(4 × 23) × 25 = 4 × (23 × 25)
For the distributive property as shown above, he will arrive at;(4 × 23) × 25 = (25 × 4) + (25 × 23)
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A coin weighs 4/15 ounces. A different coin weighs 1/15 ounces. How much do the two coins weigh together? Write your answer as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
4/15 + 1/15 = 5/15
simplified its 1/3
11(d-c)+3(c+d),when c=6,d=9
The value of 11(d-c)+3(c+d) by using the values c=6 and d=9 is 69.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
Expression: 11(d-c)+3(c+d)
Now, put the values of c= 6 and d= 9 we get
11(d-c)+3(c+d)
= 11 (9- 6) + 3( 9+3)
= 11 (3) + 3 (12)
= 33+ 36
= 69
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A grocery store offers a cheese and fruit sampler that combines cheddar cheese that costs $8 per kilogram with kiwis that cost $3 per kilogram. How many kilograms of each were used to make a 5 kg mixture that costs $4.50 per kilogram?
Answer:
I have 1000$ i wanna buy it
Step-by-step explanation:
Answer is 2.1 kg and 2.9 kg.
What is an equation?A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals sign "=".
Given that,
Amount of cheese = $8 per kg
Amount of kiwis = $ 3 per kg
Assume
X = quantity of chees
Y = quantity of kiwi
According to the given information,
X + Y = 5 ...(i)
8X + 3Y = (5)4.50 ....(ii)
From (ii) = 3x(i),
5x = 10.5
x = 2.1 kg
Now put the value of x into (i),
y = 2.9 kg
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what expression is equivalent to (f + g)(4)
Answer:
Answer: The Expression (f + g)(4) is equal to f(4) + g(4).
Step-by-step explanation:
need help 15.3+7.2 it is adding
Answer: below
Step-by-step explanation: 22.5
Matthew has $540 in his bank account. He subscribes to a music streaming service for $7.99 per month. If he makes no other deposits or withdrawals, what is Matthews new account balance after 5 months of his subscription?
Answer:
500.05
Step-by-step explanation:
7.99 x 5 is of course 39.95 and 39.95 - 540 is 500.05 and that's on period
Please help me help please help
Answer:
-2
Step-by-step explanation:
2/(-1) = -2
rise is 2
run is -1 ( to the left)
Anything will help plss
Answer:
2, not rational 4,not rational 3,yes rational 5,yes rational
Step-by-step explanation:
hopefully thats correct
Graph the image of the figure using the transformation given. Don't forget prime marks on your new image. Part 1: reflection across the y-axis.
NO LINKS OR ASSESSMENT!
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
J (1, 4 ) → J' (- 1, 4 )
K (1, 0 ) → K' (- 1, 0 )
L (4, 3 ) → L' (- 4, 3 )
Plot the points J', K', L' and connect them in order to obtain image