Answer:
Step-by-step explanation:
Rohan is a generous person who cares deeply for his maid and her two children. On Rohan's birthday, he plans to give both of them the same number of dresses. This situation can be solved using Euclid’s axiom that states “things which are equal to the same thing are also equal to one another”. Therefore, after Rohan's birthday each child will have an equal number of dresses as they were given an identical amount from him.
This kind gesture by Rohan demonstrates his commitment towards taking care of those around him and providing fairness in all situations possible - it serves as a reminder that we should always strive for equality among people regardless of their backgrounds or social statuses in life! By following this axiom, everyone can benefit from having access to resources no matter what their circumstances may be; thus creating a more equitable society overall.
The act done by Rohana is praiseworthy and must serve as an example for others too so they understand how important it is treat everyone equally regardless if they belong to different castes or classes in our society! We should take measures like these on regular basis so that true justice prevails everywhere without any discrimination whatsoever- this would make sure everybody has access basic necessities such us clothes just like Rohana provided his maid's kids with new sets on his own birthday!
The interquartile range is determined by the formula _____________. A. Third quartile – First quartile B. Maximum – minimum C. Third quartile + first quartile D. First quartile – third quartile
Answer:
A. Third quartile – First quartile
Step-by-step explanation:
The interquartile range is found by taking the third quartile minus the first quartile. It is also found by taking the right side of the box in a box and whisker plot and subtracting the left side of the box in a box and whisker plot
what is the probability that 3 hearts are chosen if 7 cards are chosen from a well-shuffled deck of 52 playing cards?
The probability that 3 hearts are chosen if 7 cards are selected from a well-shuffled deck of 52 playing cards is \(\\& =0.175823334\end{aligned}\)
A probability simple definition is what?The probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging between 0% to 100% can be used to describe probabilities.
A probability may it be negative?Although a quasiprobability distributed enables a negative probability, called quasiprobability, for some events, the probability of the result of an experiment is never negative. These distributions may be applicable to conditional probability or unobservable occurrences.
The number of choosing cards out of 52 is = ⁵²C₃
Number of ways of choosing 3 cards of heart out of 13 cards and 4 out of remaining 39 cards = ¹³C₅ × ³⁹C₃
Probability of choosing 5 hearts = ¹³C₃ × ³⁹C₄ / ⁵²C₃
\(\begin{aligned}\frac{13 \times 2 \times 11 \times 13 \times 19 \times 3 \times 9}{26 \times 17 \times 10 \times 7 \times 2 \times 47 \times 46} & =\frac{23523786}{133784560} \\& =0.175823334\end{aligned}\)
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The constant C=±eB can be any real value as BB varies over all real numbers.
The constant C=±eB varies over all possible values of ±ke, where k is any real number, as B varies over all real numbers.
The statement "the constant C=±eB can be any real value as B varies over all real numbers" is not entirely accurate.
The constant C is given by C=±eB, where e is the mathematical constant approximately equal to 2.71828, and B is a fixed real number. When B varies over all real numbers, the constant C will also vary over all real numbers. However, the value of C cannot be any real value; it is restricted by the value of e.
Since e is a fixed constant, the possible values of C are limited to those that can be obtained by multiplying e by a real number and then taking the positive or negative value of the result. Therefore, the possible values of C are of the form ±ke, where k is any real number.
In summary, the constant C=±eB varies over all possible values of ±ke, where k is any real number, as B varies over all real numbers.
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The Ferris wheel shown makes 14 revolutions per ride. How far would someone travel during one ride? Round your final answer to the nearest whole number. Use 3.14 for π.
diameter 67 feet
Someone would travel about
feet during one ride on the Ferris wheel.
Answer:
2,945 feet
Step-by-step explanation:
Find the circumference.
C = dπ
C = 67(3.14)
C = 210.38
Since there are 14 revolutions, multiply the circumference by 14.
210.38 x 14 = 2945.32
Round
2,945
What is the sum of interior angles of a 53-gon? Type just the number, no words, letters, or symbols
Answer:
S = 9180°
Step-by-step explanation:
Given the following data;
Number of sides = 53
To find the sum of interior angles of a 53-gon;
Mathematically, the sum of the interior angles in a regular polygon is given by the formula;
S = 180(n - 2)
Where;
n is the number of sides.
S is the sum of the interior angles
Substituting into the formula, we have;
S = 180(53 - 2)
S = 180 * 51
S = 9180°
Laseright Software discovered a number of defects in their software and counted them daily. They plotted the number of defects after they computed an average, Upper and Lower control limits. They plotted a _________type control chart for _________ .
Laseright Software discovered several defects in their software and counted them daily. They plotted the number of defects after they computed average, Upper, and Lower control limits. They plotted a C-type control chart for Attributes
Laseright Software has implemented a C-type control chart for Attributes to monitor the number of defects that they discovered in their software. A control chart is a statistical tool that is used to monitor a process and to ensure that it is operating within certain limits. It helps to identify any patterns or trends in the process and enables the organization to take corrective actions when necessary.
The C-type control chart for Attributes is used to monitor the count of defects in a process. It is plotted with an average, upper control limit, and lower control limit. The average is the mean number of defects that were discovered over a specific period. The upper and lower control limits are determined based on the variability of the data and are used to identify when the process is out of control.
In summary, Laseright Software's implementation of a C-type control chart for Attributes is a proactive approach to monitoring their software development process. It allows them to identify any defects in their software and take corrective actions to improve their product and ensure customer satisfaction.
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let f(x)=2x^2 and g(x)=x^-2 find f(g(x))
Answer:
2x^-4 or 2/x^4.
Step-by-step explanation:
We replace the x in f(x) by g(x).
f(g(x)) = 2 (x^-2)^2
= 2 x^(-2*2)
= 2x^-4
= 2/x^4.
PLS HELP
Surface area of a cuboid is 158 cm²
Height 5 cm
Width is 3 cm
What is the length?
Answer:
10.5
Step-by-step explanation:
v=158
l×w×h =158
l×5×3=158
l×15=158
L =158÷15=10.5
△STR≅△LMN, SR=7b+8, and LN=11b−12. Find b and SR.
Answer:
b = 5
Step-by-step explanation:
△STR ≅ △LMN
This means the corresponding sides are equal.
SR and LN are corresponding sides.
SR and LN are equal.
The value of b is 5.
The value of SR is 43
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
△STR ≅ △LMN
This means the corresponding sides are equal.
SR = 7b + 8
LN = 11b − 12
SR and LN are corresponding sides.
SR and LN are equal.
So,
7b + 8 = 11b − 12
Subtract 7b on both sides.
8 = 11b - 7b - 12
Add 12 on both sides.
8 + 12 = 4b
20 = 4b
b = 20/4
b = 5
Now,
SR:
= 7b + 8
= 7 x 5 + 8
= 35 + 8
= 43
Thus,
The value of b is 5.
The value of SR is 43
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Use technology to find points and then graph the function y=√x - 4 following the instructions below.
Plot at least four points with integer coordinates that fit on the axes below. Click a point to delete it.
Answer:
See below
Step-by-step explanation:
Find the exact perimeter of hexagon ABCDEFABCDEFA, B, C, D, E, F plotted below. Choose 1 answer: Choose 1 answer: (Choice A) A 343434 (Choice B, Checked) B 52+\sqrt{29}52+ 29 52, plus, square root of, 29, end square root (Choice C) C 23+3\sqrt{29}23+3 29 23, plus, 3, square root of, 29, end square root (Choice D) D 23+\sqrt{29}+\sqrt{58}23+ 29 + 58 23, plus, square root of, 29, end square root, plus, square root of, 58, end square root
Answer:
D
Step-by-step explanation:
i did it on khan
Answer:
D
Step-by-step explanation:
Which shows a correct way to find the product?
(−8)(0.09)(−125)
A.
(−8)(0.09)(−125) = (−8)(−125)(0.09)
= (1,000)(0.09)
= 90
B.
(−8)(0.09)(−125) = (−8)(−125)(0.09)
= (−1,000)(0.09)
= −90
C.
(−8)(0.09)(−125) = (−8)(−125)(−8)(0.09)
= (1,000)(−0.72)
= −720
D.
(−8)(0.09)(−125) = (−8)(−125)(−8)(0.09)
= (−1,000)(−0.72)
= 720
Answer:
I Think the answer is D, it should be a positive number
if i had 90 days and i did two months how many days do i have with the school breaks in it to ???
Answer:
Nothing cause your an special and you should know
Step-by-step explanation:
duh
What is 6/10 + 9/10 in simplest form?
Answer: 3/2
Step-by-step explanation:
Given
6/10 + 9/10
Add the numerator together
= (6 + 9) / 10
Simplify by addition
= 15 / 10
Simplify to simplest form by division
= (15 ÷ 5) / (10 ÷ 5)
= 3 / 2
Hope this helps!! :)
Please let me know if you have any questions
Hello there! The answer is:
3/2 OR 1 1/2
Step-by-step explanation:
With like denominators we can add the numerators.
6 + 9 = 15.
Then that answer over the denominator which gives us 15/10. Then simplifying the answer.
That gives us: 3/2 = 1 1/2
I hope this answer helps you out. Let me know if you have any questions/concerns.
A square garden has an area of 5 square feet. Without using a calculator, find the side length of the garden to the nearest tenth of a foot
Answer:
2.23
Step-by-step explanation:
tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet
Kira and Aldo each opened a savings account today. Kira opened her account with a starting amount of, $270 and she is going to put in $85 per month. Aldo opened his account with no starting amount, and he is going to put in $112 per month.
Answer:
so whats the questiob
Step-by-step explanation:
Answer:
so for kira, in a year shes is going to have 1290$ in a year and 645$ in six.
for aldo, hes going to have 1344$ in. ayear and 672$ in 6 months.
aldo has more money per month even tho kira had that starting 270$
Step-by-step explanation:
hope this helps you :)
Find \displaystyle \lim_{x\to 1}f(x)
x→1
lim
f(x)limit, start subscript, x, \to, 1, end subscript, f, left parenthesis, x, right parenthesis for f(x)=\sqrt{51-2x}f(x)=
51−2x
f, left parenthesis, x, right parenthesis, equals, square root of, 51, minus, 2, x, end square root.
\(\lim \limits_{x \to 1} \sqrt{51 -2x}\\\\=\sqrt{51 -2 (1)}\\\\=\sqrt{51-2}\\\\=\sqrt{49}\\\\=7\)
Cesar debe confeccionar tres tipos de volantes rectangulares, pero solo recuerda algunas medidas. calcula la medida del lado restante a partir de los datos.
a. Volante 1: Diagonal de 34 cm y lado de 30 cm
b. Volante 2: diagonal de 4 cm y lado de 3 cm
c. Volante 3: Diagonal de 18 cm y lado de 12 cm
Answer:
a. El lado restante = 16 cm.
b. El lado restante = √7 cm
c. El lado restante = 6·√13 cm
Step-by-step explanation:
Debemos calcular la dimensión del otro lado del volante de la siguiente manera;
a. La diagonal = 34 cm
Longitud de un lado = 30 cm
Por lo tanto, según el teorema de Pitágoras, la longitud del lado restante viene dada por la siguiente relación
La longitud del lado restante = √ ((Diagonal) ² - (Longitud del lado dada) ²)
La longitud del lado restante = √ ((34) ² - (30) ²) = 16 cm
El lado restante = 16 cm.
b. La longitud del lado restante = √ ((Diagonal) ² - (Longitud del lado dada) ²)
La longitud del lado restante = √ ((4) ² - (3) ²) = √7 cm
El lado restante = √7 cm
C. La longitud del lado restante = √ ((Diagonal) ² - (Longitud del lado dada) ²)
La longitud del lado restante = √ ((18) ² - (12) ²) = 6·√13 cm
El lado restante = 6·√13 cm.
caitlin purchased a container of juice contains 200 calories. The label says that 40% of the calories are from carbohydrates. How many calories are from carbohydrates
Answer:
80 caloriesStep-by-step explanation:
Total calories = 200Calories from carbohydrates = 40% of totalCalculation:
40% of 200 = 40/100*200 = 40*2 = 80 caloriesFind all the eigenvalues (real and complex) of the matrixA=[ 3 −4 2 1 ].The eigenvalues are _____. (If there is more than one answer, enter your answers as a comma-separated list.)
the eigenvalues of the matrix A are:
-0.33, 1.71, 2.09 + 0.54i, 2.09 - 0.54i
Note that the complex eigenvalues come in conjugate pairs, which reflects the fact that matrix A is real and symmetric.
To find the eigenvalues of matrix A, we need to solve the characteristic equation det(A-λI)=0, where I is the identity matrix and λ is the eigenvalue.
For the given matrix A=[ 3 -4 2 1 ], the characteristic equation is:
det(A-λI) = det([ 3-λ -4 2 1 ][ λ 1 0 0 ][ 0 0 λ 1 ][ 0 0 0 λ ])
= (3-λ) [ (λ-1)(λ-1) + 8 ] + 4 [ (λ-1)(λ-1) - 2λ ] - 2 [ -4(λ-1) + 2λ ]
= λ⁴ - 7λ³+ 12λ² + 19λ - 18
Now, we need to find the roots of this polynomial to get the eigenvalues. We can do this by factoring or by using numerical methods such as Newton's method.
Using a calculator or computer, we can find that the roots of the polynomial are approximate:
λ ≈ -0.33, 1.71, 2.09 + 0.54i, 2.09 - 0.54i
Therefore, the eigenvalues of the matrix A are:
-0.33, 1.71, 2.09 + 0.54i, 2.09 - 0.54i
Note that the complex eigenvalues come in conjugate pairs, which reflects the fact that the matrix A is real and symmetric.
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plsssss helpñ i would appreciate it!!!
Select all ratios that are in their simplest form.
A30:29 B28:30 C12:21 D14:3 E9:7
Answer:
A, D, and E
Step-by-step explanation:
A worker takes 1 week to fill up 7 crates at this rate how will it take for it to fill up 280 crates
Answer:
40 weeks
Step-by-step explanation:
This question is meant to be solved using direct proportion.
7 crates = 1 week
I crate = 1/7 week
280 crates = 1/7 * 280
Answer = 40
|Calculations|
( 280÷7)
4x + y = z X= 2 y= 3 z= (no it’s not 45)
Answer:
what does z equals to
Step-by-step explanation:
A radioactive substance has an initial mass of 475 grams and a half-life of 20 days. What equation is used to determine the number of days, x, required for the substance to decay to 63 grams?
The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60
To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:
N(t) = N₀ * (1/2)^(t/h)
Where:
N(t) is the remaining mass of the substance at time t
N₀ is the initial mass of the substance
t is the time elapsed
h is the half-life of the substance
In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:
63 = 475 * (1/2)^(x/20)
To solve for x, we can isolate the exponential term on one side of the equation:
(1/2)^(x/20) = 63/475
Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:
log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)
By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:
x/20 = log(base 1/2) (63/475)
Finally, we can solve for x by multiplying both sides of the equation by 20:
x = 20 * log(base 1/2) (63/475)
Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:
x ≈ 20 * 4.1802
x ≈ 83.60
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Which of these is the algebraic expression for "5 less than 4 times some number?" (1 O a 5- 4y 4-5y Ос 5y - 4 o a 4y - 5
Answer:
4y-5 is the answer to this one. you are taking five away from the product of four and y
Let S be the part of the plane 2x + 1y + z = 2 which lies in the first octant, oriented upward. Find the flux of the vector field F = 1i + 1j + 3k across the surface S. F = 1i + 1j + 3k across the surface s2x + 1y + z = 2 which lies in the first octant, oriented upward. Find the flux of the vector field.
The flux of the vector-field F = 1i + 1j + 3k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.
Flux form of Green's Theorem for the given vector-field
φ = ∫ F.n ds
= ∫∫ F. divG.dA
Here G is equivalent to the part of the plane = 2x + 1y + z = 2.
and given F = 1i + 1j + 2k
div G = div(2x + 1y + z = 2) = 2i + 4j + k
Flux = ∫(1i + 1j + 3k) (2x + 1y + z) dA
φ = ∫ (2 + 4 + 2 ) dA
= 8∫dA
A = 1/2 XY (on the given x-y plane)
2x+4y =2
at x = 0, y = 1/2
y = 0, x = 1
1/2 (1*1/2) = 1/4
Therefore flux = 8*1/4 = 2
φ = 2.
Green's theorem has numerous applications. One method is to solve two-dimensional flow integrals, which state that the sum of fluid outflows from a volume equals the total outflow summed around an enclosing area.
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In the absence of additional information you assume that every person is equally likely to leave the elevator on any floor. What is the probability that on each floor at most 1 person leaves the elevator
The probability of at most 1 person leaving the elevator on each floor when assuming that every person is equally likely to leave the elevator on any floor depends on the number of floors in the building and can be calculated using the binomial distribution formula.
Assuming that every person is equally likely to leave the elevator on any floor, the probability that on each floor at most 1 person leaves the elevator can be calculated using the binomial distribution.
Let's say there are n floors in the building. The probability of at most 1 person leaving the elevator on each floor is the probability that 0 or 1 person leaves the elevator on each floor. This can be calculated as follows:
P(at most 1 person leaves the elevator on each floor) = P(0 people leave on floor 1) x P(0 or 1 people leave on floor 2) x P(0 or 1 people leave on floor 3) x ... x P(0 or 1 people leave on floor n)
Now, since we are assuming that every person is equally likely to leave the elevator on any floor, the probability of 0 people leaving the elevator on any floor is (n-1)/n and the probability of 1 person leaving the elevator on any floor is 1/n. Therefore, we can calculate the probability of at most 1 person leaving the elevator on each floor as:
P(at most 1 person leaves the elevator on each floor) = (n-1)/n * (1/n + (n-1)/n)^(n-1)
Simplifying this expression, we get:
P(at most 1 person leaves the elevator on each floor) = (n-1)/n * (2/n)^(n-1)
For example, if there are 5 floors in the building, the probability of at most 1 person leaving the elevator on each floor is:
P(at most 1 person leaves the elevator on each floor) = 4/5 * (2/5)^4
P(at most 1 person leaves the elevator on each floor) = 0.08192
Therefore, the probability of at most 1 person leaving the elevator on each floor when assuming that every person is equally likely to leave the elevator on any floor depends on the number of floors in the building and can be calculated using the binomial distribution formula.
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solve the equation 1/2(6x+2) = 5(x+3)
Answer:x=-7
Step-by-step explanation:X equals negative 7
An object moves at a speed of 20 yards per second.
What is the object's speed, in feet per second?
(1 yard = 3 feet)
A) 17
B) 23
C) 50
D) 60
Let's see
\(\\ \rm\Rrightarrow speed=20yd/s\)
See unit given to change is ft/sSo only numerator we need to change\(\\ \rm\Rrightarrow Speed=20(3)=60ft/s\)
Option D