The formula of the area of a square is
Answer:
Step-by-step explanation:
A=lw
Answer:
A = bh
Step-by-step explanation:
you multiply the base length by the height length.
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in asurvey of auniversity the f.f data were collected there were 30 students taking medicine 28 taking accounting and 43 taking evonomics 6 students were taking all the three courses then how many students were taking medicine and economic but not accounting
Solving for x, we get x=0, this means that there are no students taking medicine and economics but not accounting.
What is inclusion-exclusion?The principle of inclusion and exclusion (PIE) is a counting technique that computes the number of elements that satisfy at least one of several properties while guaranteeing those elements satisfying more than one property are not counted twice.
We can solve this problem using the principle of inclusion-exclusion, which states:
|A or B or C| = |A| + |B| + |C| - |A and B| - |A and C| - |B and C| + |A and B and C|
where A, B, and C are any events, and |A| denotes the number of elements in A.
Using this formula, we can find the number of students taking medicine and economics but not accounting as follows:
Let M = set of students taking medicine
Let A = set of students taking accounting
Let E = set of students taking economics
Then we have:
|M or A or E| = |M| + |A| + |E| - |M and A| - |M and E| - |A and E| + |M and A and E|
Substituting the given values, we get:
|{M} U {A} U {E}| = 30 + 28 + 43 - 6 - x - y + 0
where x is the number of students taking medicine and economics (but not accounting), and y is the number of students taking accounting and economics (but not medicine).
Simplifying the equation, we get:
95 - x - y = 95 - (|{M} U {A} U {E}|) = |({M} U {A} U {E})ᶜ
where ({M} U {A} U {E})ᶜ denotes the complement of the set of students taking medicine, accounting, or economics (i.e., the set of students not taking any of these courses).
We know that there are n = 6 students taking all three courses. Therefore, the number of students not taking any of these courses is:
|({M} U {A} U {E})ᶜ| = total number of students - n
= (30 + 28 + 43) - 6
= 95
Substituting this value, we get:
95 - x - y = |({M} U {A} U {E})ᶜ
= 95
Solving for x, we get:
x = 0
Therefore, there are no students taking medicine and economics but not accounting.
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Answer and explanation please
Watch help video
Ruby is designing a new board game, and is trying to figure out all the
possible outcomes. How many different possible outcomes are there if
she flips a coin, rolls a fair die in the shape of a cube that has six sides
labeled 1 to 6, and spins a spinner with three equal-sized sections
labeled Walk, Run, Stop?
Answer:
Submit Answer
attempt 1 out of 2
The maximum possible outcome for the given situation is 36.
What is Probability?The number of favorable events to all the events in an experiment is the ratio that makes up the probability formula. Theoretical probability, Experimental probability, and Axiomatic probability are the three categories into which probability can be divided.
Given, Ruby is designing a new board game and is trying to figure out all the possible outcomes. she flips a coin, rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop.
Since there are three things happening simultaneously and favorable moments will be chosen by all three.
Thus Maximum possible outcome = 2 * 6 * 3 = 36
Therefore, For the given situation, 36 outcomes are available in total.
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PLEASE HELP NOW! I WILL MARK YOU THE BRAINLIST
Answer:
Its the first choice 3 x 10^2
Step-by-step explanation: hope this helps!
Graphing a linear Equation of the form y=mx+b
y= -5/4x - 2
An easy way to graph a linear function is to sub in any two x-values into the equation and solve for the corresponding y-values, then connect the two points with a line. I can see in the pic that you've already marked the y-intercept at -2, so you only need one more point to draw a line. Since the coefficient of x is -5/4, picking a multiple of 4 as an x-value would result in a whole number value for y, making it easier to plot. For example, sub in x = 4 into the equation and solve.
y = -5/4 (4) - 2
y = -5 - 2
y = -7
Plot the points (4, -7) and the intercept (0, -2), then connect the points with a straight line
what is 9 divided by 36 TELL ME HOW U SOLVED IT
Step-by-step explanation:
DirectoryDivisible
How to calculate 36 divided by 9
Long Division
Here we will show you step-by-step with detailed explanation how to calculate 36 divided by 9 using long division.
Before you continue, note that in the problem 36 divided by 9, the numbers are defined as follows:
36 = dividend
9 = divisor
Step 1:
Start by setting it up with the divisor 9 on the left side and the dividend 36 on the right side like this:
9 ⟌ 3 6
Step 2:
The divisor (9) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:
0
9 ⟌ 3 6
Step 3:
Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.
0
9 ⟌ 3 6
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.
0
9 ⟌ 3 6
- 0
3
Step 5:
Move down the 2nd digit of the dividend (6) like this:
0
9 ⟌ 3 6
- 0
3 6
Step 6:
The divisor (9) goes into the bottom number (36), 4 time(s). Therefore, put 4 on top:
0 4
9 ⟌ 3 6
- 0
3 6
Step 7:
Multiply the divisor by the result in the previous step (9 x 4 = 36) and write that answer at the bottom:
0 4
9 ⟌ 3 6
- 0
3 6
3 6
Step 8:
Subtract the result in the previous step from the number written above it. (36 - 36 = 0) and write the answer at the bottom.
0 4
9 ⟌ 3 6
- 0
3 6
- 3 6
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 36 divided by 9 calculated using Long Division is:
the answer is 4
The solution for 9 divided by 36 is,
⇒ 1/4
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ 9 divided by 36
Now, We can write as;
⇒ 9 divided by 36
⇒ 9 ÷ 36
⇒ 9 / 36
⇒ 1/4
Thus, The value of fraction for 9 divided by 36 is,
⇒ 1/4
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how much fuel will you need to travel 75 sm if your airplane burns 3 gallons of fuel/hr. and your groundspeed is 45 mph?
Using Simple Speed formula,
To travel the distance of 75m with an airplane will need five gallons of fuel .
We have given that,
An airplane, fuel burn speed = 3 gallons of fuel per hour
ground speed of airplane = 45mph
distance = 75m
Speed = distance /time = 45 mph
=> 45 m distnce in one hour
fuel consumption of airplane = 3gallons/h
from above discussion we get,
fuel consumption for 45 m is equal to 3 gallons .
we have to calculate the quantity of fuel need to travel 75 m .
Now, 45 m distnce implies 3 gallons fuel consumption
1 m distance implies 3/45 gallons of fuel consumption
fuel consumption for 75 m =( 3/45)×75 = 5 gallons
Hence, 5 gallons fuel we need to travel 75 m .
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It takes Henry 8 hours longer to paint one room than it does Sally. If they work together Sally and Henry can paint one room in 3 hours. How long does it take Sally in hours, working alone, to paint one room?
It takes Sally 4 hours, working alone, to paint one room.
Let's use the variable "x" to represent the number of hours it takes Sally to paint one room. According to the problem, it takes Henry 8 hours longer, or "x + 8" hours, to paint one room.
When they work together, they can paint one room in 3 hours. This means that their combined rate of painting is 1/3 of a room per hour. We can use this information to set up an equation:
1/x + 1/(x+8) = 1/3
To solve for x, we first need to simplify the equation by finding a common denominator:
(3(x+8) + 3x) / x(x+8) = 1
(6x + 24) / x(x+8) = 1
6x + 24 = x^2 + 8x
0 = x^2 + 2x - 24
Using the quadratic formula, we get:
x = (-2 ± sqrt(2^2 - 4(1)(-24))) / (2(1))
x = (-2 ± sqrt(100)) / 2
We can ignore the negative solution since it doesn't make sense in the context of the problem:
x = (-2 + 10) / 2
x = 4
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For the given confidence level and values of x and n, find the following, x=46, n=98, confidence level 99.8% Part 1 of 3 Part 3 of 3 (c) Find the margin of error. Round the answers to at least four decimal places, if necessary. The margin of error for the given data is .1415 х 5
The margin of error is 0.1415, where z is the critical value for the desired confidence level,
The margin of error can be calculated using the formula: Margin of error = z * (standard deviation / sqrt(n))
where z is the critical value for the desired confidence level, standard deviation is the population standard deviation (which can be estimated using the sample standard deviation), and n is the sample size.
For a 99.8% confidence level, the critical value is 2.967. Using the given values of x and n, we can calculate the sample proportion as 46/98 = 0.4694.
To estimate the population standard deviation, we can assume that the sample proportion is a good estimate of the population proportion, and use the formula:
standard deviation = sqrt(p*(1-p)/n)
where p is the sample proportion. Substituting the values, we get: standard deviation = sqrt(0.4694*(1-0.4694)/98) = 0.0519
Now we can plug in the values into the margin of error formula to get: Margin of error = 2.967 * (0.0519 / sqrt(98)) = 0.1415
Therefore, the margin of error is 0.1415.
It is important to note that the margin of error represents the amount by which the sample proportion may differ from the population proportion with a certain level of confidence.
It is also important to remember that the margin of error is not the same as the sampling error, which is the difference between the sample mean and the population mean.
The margin of error can be used to determine the sample size required for a given level of precision, or to compare different sample sizes to determine which is more likely to yield a representative sample.
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Geometry Homework :))
Answer:
B
Step-by-step explanation:
Answer:
The question has two correct answers A and B.
Step-by-step explanation:
A is the component form of a vector
B is words
Which of these expressions represents the sum of two rational numbers being rational?
5/+4
√14+2
Answer:
i think its number 2 hope its correct
What is the area of the given compound shape?
a) 69.8cm^2
b) 39.8cm^2
c) 49.6cm^2
Answer:
39.8 cm^2
Step-by-step explanation:
area of triangle
base = 5 cm
height = 12 cm
are of triangle = base *height / 2
=5*12/2
=60/2
30 cm^2
area of semi circle
diamtere = 5
radius = diameter/2
=5/2
=2.5
area of semi circle = πr^2/2
=3.14*2.5^2/2
=19.625/2
=9.8125 cm^2
are of the figure = are of triangle + area of semicircle
=30 + 9.8125 cm^2
=39.8125 cm^2
=39.8 cm^2 (after converting to the nearest tenth)
Determine the algebraic degree of the following (7,7)-function, where a is a primitive element of F27. Is it linear, affine, quadratic or cubic? Explain your answer. (5%)
F(x) = alpha ^ 49 * x ^ 37 + alpha ^ 52 * x ^ 28 + alpha ^ 81 * x ^ 13 + alpha ^ 26 * x ^ 9 + alpha ^ 31 * x
The highest exponent of x in F(x) is 37, which means the algebraic degree of the function is 37.
The function F(x) is a cubic function.
Here, we have,
given function is:
F(x) = α⁴⁹ * x³⁷ + α⁵² * x²⁸ + α⁸¹ * x¹³ + α²⁶ * x⁹ + α³¹ * x
To determine the algebraic degree of the given (7,7)-function F(x), we need to find the highest exponent of x in the function.
F(x) = α⁴⁹ * x³⁷ + α⁵² * x²⁸ + α⁸¹ * x¹³ + α²⁶ * x⁹ + α³¹ * x
The algebraic degree of a polynomial function corresponds to the highest exponent of the variable in the function.
Linear functions have an algebraic degree of 1, affine functions have an algebraic degree of 1 or 0, quadratic functions have an algebraic degree of 2, and cubic functions have an algebraic degree of 3.
so, we get,
The highest exponent of x in F(x) is 37, which means the algebraic degree of the function is 37.
Therefore, the function F(x) is a cubic function.
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Find the number if the difference between 4/5 of the number and 3/4 of the same number is 5 .
Answer:
100
Step-by-step explanation:
Number = x
0.8x - 0.75x = 5
0.05x = 5
x = 100
Answer:
Your Answer to THIS QUeSTiON.
100!
Step-by-step explanation:
We need to find the number
which is x
so 0.8x - 0.75 is 5, right.
then 0.05x=5
so it is 100
Brainliest!!!
What is 30 divided by 5?
Really Easy!
Answer:
6
Step-by-step explanation:
Answer:
The answers 6 gorgious
The diagram shows the intersections of several straight roads. The avenues run parallel to each other.
First Avenue and Second Avenue are parallel. Oak goes through both streets at point A and B. Main goes diagonally down through both streets and intersects with Oak Street. The distance from First to Second on Main is 280 feet. The distance from Second to the intersection of Oak is 140 feet. The distance from Point B to the intersection of Main is 113 feet.
Amana walks along Oak from point A to B. To the nearest foot, how far does she walk?
75 ft
226 ft
307 ft
347 ft
By applying the property of similar triangles, the distance Amana from point A to B walked is: B. 226 ft.
How to determine the distance?By critically observing the diagram (see attachment), we can deduce that two (2) similar triangles were formed by the First Ave. and Second Ave.
By applying the property of similar triangles, the distance Amana walked is given by:
(AB + 113)/113 = (280 + 140)/140
(AB + 113)/113 = 420/140
(AB + 113)/113 = 3
AB + 113 = 3 × 113
AB + 113 = 339
AB = 339 - 113
AB = 226 ft.
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Answer: B. 226 ft.
Step-by-step explanation: Trust Me! I got it correct on Edge.
Manuel is saving money for college. He already has $250. He plans to
save another $50 per month,
Regardless of how many months he saves, how much does he save each
month?
Step-by-step explanation:
That is $250-$50=$200
why because he plans to
save $50 per month and
he already has$250to begin
so that explains what i did
a ferris wheel has a radius of 70 feet and makes a revolution every 60 seconds, the center of the wheel is 90 feet above the ground. the ferris wheel goes counter clockwise. write an equation to model the height of a rider who starts the ride at the 3:00 position? also what is the amplitude, vertical translation and the period
3) Consider the following linear equations:
y = x - 4 and -8y = 8x - 32
What are the intercepts of the line -8y=8x-32 ?
x-value of x-intercept _____
y- value of y-intercept _____
Surface area.. please answer
\( \boxed{ \mathfrak{\huge \: \underline{ \underline{A nswer} }: }}\)
Given terms :
\(\hookrightarrow \: length = 8 \: in\)
\(\hookrightarrow \: width = 2 \: in\)
\( \hookrightarrow \: height = 12 \: in\)
we know,
\( \large\boxed{ \mathrm{surface \: \: area \: (a) = 2(lw + wh + lh)}}\)
\(\hookrightarrow \mathrm{\: a = 2 \times \bigg [(8 \times 2) + (2 \times 12) + (8 \times 12) \biggr]}\)
\(\hookrightarrow a = 2 \times \biggr[16 + 24 + 96 \biggr]\)
\(\hookrightarrow \: a = \bigg [\: 2 \times 136\bigg ]\)
\(\hookrightarrow \large \boxed{ \mathrm{a = 272 \: \: in {}^{3} }}\)
____________________________________
\( \mathrm{✌TeeNForeveR✌}\)
How many pounds of peanuts costing $3.00 a pound should be mixed with 4 pounds of cashews costing $4.50 a pound to obtain a mixture costing $3.50 a pound?
Answer:
2/3 pounds of peanuts and
1/3 pound of cashews for every 1 pound of the mixture.
Step-by-step explanation:
Let x = the pounds of peanuts
Let 1-x = the pounds of cashews.
3x + 4.5(1 - x) = 3.5 Distribute the 4.5
3x + 4.5 - 4.5x = 3.5 Combine like terms
-1.5x + 4.5 = 3.5 Subtract 4.5 from both sides
-1.5x = -1 Divide both sides by -1.5
x = 2/3 This is the pounds of peanuts
1-x
1 - 2/3 = 1/3 This is the pounds of cashews.
the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation
Answer:
x=13
y=5
13-5=8
13+5=18
Step-by-step explanation:
You are given the numbers {32 + n, n/8, and \sqrt{n + 23}. Find the smallest value of n so that all of the numbers in the set are natural numbers
The value of n that makes all of the numbers in the set {32 + n, n/8, and √(n + 23)} natural numbers is n = 63.
To find the smallest value of n so that all of the numbers in the set {32 + n, n/8, and √(n + 23)} are natural numbers, we need to determine the factors of the given numbers. We know that a natural number has no fractional part and is greater than or equal to 1.
We can find the smallest value of n by taking the Least Common Multiple (LCM) of the denominators of the fractions in the given set. So, let's begin:1. 32 + n = natural number
If n = 0, then 32 + n = 32, which is not a natural number. If n = 1, then 32 + n = 33, which is a natural number. Therefore, the value of n that makes 32 + n a natural number is n = 1.2. n/8 = natural number
If n is a multiple of 8, then n/8 is a natural number. Therefore, the value of n that makes n/8 a natural number is any positive multiple of 8.3. √(n + 23) = natural number
If n + 23 is a perfect square, then √(n + 23) is a natural number. Therefore, the value of n that makes √(n + 23) a natural number is any number that is 1 less than a perfect square.
We need to find the smallest value of n that satisfies all three conditions above. The LCM of 8 and 1 is 8. The smallest multiple of 8 that is 1 less than a perfect square is 63. Thus, the smallest value of n is 63.
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3. Which of the following has a value of 13? (5.02.2)
A. 5 + 4 x 3 - 1
B. (5 + 4) x 3 - 1
C. 5 + 4 (3 - 1)
D. (5 + 4) X (3 - 1)
Available Aug
Education
1. Mary woks Monday through Friday at a rate of $8.75 per hour. She takes a 1-hour lunch break. If she
clocks in each day at 7:45 A.M. and leaves at 4:15 P.M., what is her total pay for the week? (Show your
work)
ons
Answer:
65.63
Step-by-step explanation:
total hours: 7.5 or 7 hours and 30min
multiply 8.75(dollars) by 7.5(hours) to get 65.625
round up to get $65.63
the profit y (in dollars) for a business from selling x games is represented by y=33x graph the equation
THIS IS URGENT!!! SOMEONE PLEASE RESPOND!!!!
ty!
Answer: check the image attached
Step-by-step explanation:
Hope this helps
Answer:
Just point the graph on Y=33x+0
Step-by-step explanation:
There's no B or starting point, so you would just plant the point on 0,33
Quadratic equation
three years ago a father was three times as old as his son. in five years time, the father will be twice as old as his son.what is the sum of their ages in four years time?
Answer:
46Step-by-step explanation:
x - age of a son three years ago
3x - age of a father three years ago
x + 3 - age of the son now
3x + 3 - age of the father now
x + 3 + 5 - age of the son in five years time
3x + 3 + 5 - age of the father in five years time
in five years time, the father will be twice as old as his son, so:
3x + 3 + 5 = 2(x + 3 + 5)
3x + 8 = 2x + 16
3x - 2x = 16 - 8
x = 8
x + 3 + 4 - age of the son in four years time
8 + 3 + 4 = 15
3x + 3 + 4 - age of the father in four years time
3×8 + 3 + 4 = 31
the sum of their ages in four years time:
15 + 31 = 46
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ___________- as the margin of error increases.
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.
The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).
Here, the population standard deviation, and level of significance are the same.
As the margin of error increased.
So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size
\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)
As the margin of error is in the denominator position in the sample size formula
Hence with an increase in the margin of error sample size decreases.
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Make x the subject of the formula.
y = √x² +1
Answer: x = \(\sqrt{y^2 -1}\)
Step-by-step explanation: