The correct order of the polynomial \(7x^3y^3 - 3xy^5 + 2x^2y^4 - x^4y^2\) in descending powers of x is:
\(-x^4y^2 + 7x^3y^3 + 2x^2y^4 - 3xy^5\)
Therefore, the answer is option A.
What is polynomial function?
A polynomial function is a mathematical function that consists of a sum of terms, where each term is a constant multiplied by one or more variables raised to a non-negative integer power.
When we arrange a polynomial in descending order of powers of one of its variables, it means we are writing the terms with the highest power first, followed by terms with the next highest power, and so on until we reach the constant term (which has no variable).
In this case, the polynomial is \(7x^3y^3-3xy^5+2x^2y^4-x^4y^2\). To write this in descending order of powers of x, we need to start with the term that has the highest power of x, which is \(-x^4y^2\).
Then we write the term with the next highest power of x, which is \(7x^3y^3\). After that, we write the term with the next highest power of x, which is \(2x^2y^4\). Finally, we write the term with the lowest power of x, which is \(-3xy^5\).
So the correct order of the polynomial in descending powers of x is option A: \(-x^4y^2+7x^3y^3+2x^2y^4-3xy^5\).
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Molly works at an electronics store. Her last customer purchased a DVD player for $61.29 and five DVDs for $59.31, including taxes. If the customer paid her with two \$100 bills, how much change should she give him?
Answer:
$79.4
Step-by-step explanation:
Add up both of the prices.
61.29 + 59.31 = 120.6
Subtract that from the 200.
200 - 120.6 = 79.4
Pentru o petrecere s-au folosit 1243 baloane albe,cu 7559 mai multe baloane galbene, albastre cu 1138 mai multe decat albe,iar rosii cat galbene si albastre la un loc.cate baloane s-au folosit in total
To find the total number of balloons used, we need to add the quantities of white, yellow, blue, and red balloons together.
Let's break down the given information:
- The number of white balloons used is 1243.
- There are 7559 more yellow balloons than white balloons.
- The number of blue balloons is 1138 more than the number of white balloons.
- The number of red balloons is equal to the combined quantity of yellow and blue balloons.
First, let's determine the number of yellow balloons. Since there are 7559 more yellow balloons than white balloons, we add 7559 to the quantity of white balloons:
1243 + 7559 = 8802 yellow balloons.
Next, let's determine the number of blue balloons. As there are 1138 more blue balloons than white balloons, we add 1138 to the quantity of white balloons:
1243 + 1138 = 2381 blue balloons.
Now, let's calculate the number of red balloons. The number of red balloons is equal to the sum of yellow and blue balloons:
8802 + 2381 = 11183 red balloons.
Finally, to find the total number of balloons used, we add the quantities of white, yellow, blue, and red balloons:
1243 + 8802 + 2381 + 11183 = 23609 balloons in total.
In total, 23609 balloons were used for the party. For the party, a total of 23609 balloons were used. The breakdown of balloon colors is as follows: 1243 white balloons, 8802 yellow balloons, 2381 blue balloons, and 11183 red balloons. To arrive at these numbers, we followed the given information step by step. First, we determined the quantity of yellow balloons by adding 7559 (the number of yellow balloons that exceeded the white balloons) to the initial quantity of white balloons (1243). This gave us a total of 8802 yellow balloons. Then, we calculated the quantity of blue balloons by adding 1138 (the number of blue balloons that exceeded the white balloons) to the initial quantity of white balloons (1243). This resulted in 2381 blue balloons. Finally, we found the quantity of red balloons by adding the number of yellow balloons (8802) and the number of blue balloons (2381), resulting in 11183 red balloons. Adding up the quantities of white, yellow, blue, and red balloons, we obtained a total of 23609 balloons for the party.
In conclusion, the total number of balloons used for the party was 23609, consisting of 1243 white balloons, 8802 yellow balloons, 2381 blue balloons, and 11183 red balloons.
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a fertilizer covers 2/3 square foot in 1/4 hour. the unit rate is ___ square feet per hour.
Step-by-step explanation:
\(\large{ \star \fcolorbox{magenta}{purple}{ \fcolorbox{magenta}{blue}{ \fcolorbox{magenta}{pink}{ \fcolorbox{magenta}{red}{ \sf{ añswër}}}}}} \star\)
2/3×1/4
:- 1/6 square feet per hour
here is another math thingy
Answer:
17 mi
Step-by-step explanation:
170/10=17
Answer:
17
Step-by-step explanation:
170 divided by 10 = 17
Double check: 17 x 10 = 170 (area).
Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D
What is the difference between a line segment and a directed line segment?
The main difference between the line segment and the directed line segment is given by line segment has two endpoints and the directed line segment has only one end point.
As given in the question,
Difference between the line segment and the directed line segment is given by following points:
Line segment has two endpoints where as directed line segment has one starting and other terminal point.Line segment cannot be extended further whereas the directed line segment can be increased or extends from one side.Directed line segment is used to represent the vectors.Therefore, different number of endpoints represents the main difference between line segment and the directed line segment given by :
line segment with two endpoints and directed with one end point.
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ОЧЕНЬ СРОЧНО ПОМОГИТЕ ПОЖАЛУЙСТА
на основании какого
свойства равнобедренного треугольника можно доказать медиана равнобедренного треугольника проведенная к его основанию принадлежит серединному перпендикуляру основания
Если высота, полученная из вершины A, также является медианной, треугольник будет равнобедренным, так что AB = AC, а BC - основание. Следовательно, эта высота также является биссектрисой угла. - Если медиана, проведенная из вершины A, также является биссектрисой угла, треугольник будет равнобедренным, так что AB = AC, а BC - основание.
Using +- 3o limits, calculate the LCL and UCL for these data A) UCL=7.437;LCL=−2.237 B) ∪CL=7.82;LCL=0 C) UCL=8.382;LCL=0 D) UCL=7.82;LCL=−2.22 E) UCL=9.112;LCL=0
The Upper Control Limit (UCL) and Lower Control Limit (LCL) are calculated for different data sets, as specified in the given values.
The UCL and LCL are statistical control limits used in process control to determine if a process is in a stable and predictable state. These limits define the range within which data points should fall if the process is under control.
In each case provided (A, B, C, D, E), the UCL and LCL values are given. These values represent the calculated control limits for the respective data sets.
To calculate the control limits, a specific statistical method such as the ± 3σ (sigma) method may have been used. This method sets the UCL and LCL at three standard deviations above and below the mean.
The UCL represents the upper threshold or upper boundary, while the LCL represents the lower threshold or lower boundary. These limits help identify any potential deviations or out-of-control situations in the data.
By applying the given values, the corresponding UCL and LCL for each data set can be calculated. These limits are important for quality control and process monitoring, ensuring that the data falls within acceptable ranges.
To calculate the UCL and LCL using ±3σ limits, we use the following formulas:
UCL = Mean + 3σ
LCL = Mean - 3σ
Here, σ represents the standard deviation of the data set. The ±3σ limits provide a range that encompasses most of the data points in a normal distribution, with approximately 99.7% of the data falling within this range.
A) For data set A:
UCL = 7.437
LCL = -2.237
B) For data set B:
UCL = 7.82
LCL = 0
C) For data set C:
UCL = 8.382
LCL = 0
D) For data set D:
UCL = 7.82
LCL = -2.22
E) For data set E:
UCL = 9.112
LCL = 0
The ±3σ limits are derived from the standard deviation (σ) of the data set. Unfortunately, the standard deviation is not provided in the given information. If you have the standard deviation available, we can proceed to calculate the UCL and LCL using the formulas UCL = Mean + 3σ and LCL = Mean - 3σ.
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Question - What are the upper control limit (UCL) and lower control limit (LCL) using a ±3σ limit for the given data sets?
A) For data set A, the UCL is 7.437 and the LCL is -2.237.
B) For data set B, the UCL is 7.82 and the LCL is 0.
C) For data set C, the UCL is 8.382 and the LCL is 0.
D) For data set D, the UCL is 7.82 and the LCL is -2.22.
E) For data set E, the UCL is 9.112 and the LCL is 0.
Adam plans to choose a video game from a section of the store where everything is 75%
off. He writes the expression d−0.75d
to find the sale price of the game if the original price is d
dollars.
Rena correctly writes another expression, 0.25d
, that will also find the sale price of the game if the original price is d
dollars.
Drag each description to explain each part of both expressions.
d = Original price of video game
0.25 = Percent of original price Adam will pay
Percent discount = 0.75
d = Original price of video game
0.75d = Amount of discount
0.25d = Sale price of video game
d - 0.75d = Sale price of video game
Which description explain each part of both expressions?Adam plans to choose a video game from a section of the store where everything is 75% off.
The expression written by him for this situation is d - 0.75d.
Here, the part d represents the sale price before discount and the part 0.75d is the discount amount.
The expression written by Rena is 0.25d.
Here, the part 0.25d is the price after discount. Since 75% is the discount, the rate after disount is 25% and 25% of d is 0.25d.
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y is directly proportional to ( x - 4 ) . When x = 16, y = 3. Find y in terms of x.
A famer planted 154 tomato plants. 46 of the plants died. He replanted the plants in rows, with each row containing 9 plants. Which equation can be used to find p the number of rows the farmer planted
The equation we can use to find the number of rows the farmer planted is 108 = 9p.
To find the remaining number of plants, we subtract 46 from 154:
154 - 46 = 108 tomato plants
Now, the farmer replants the remaining plants in rows with 9 plants in each row. To find the number of rows (p), we can use the following equation:
108 = 9p
This equation represents the total number of remaining tomato plants (108) being divided into rows with 9 plants each, resulting in the number of rows (p).
Simplifying this equation will give us the value of p, which is:
p = 12
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give answer and explain please :)
Answer:
58 degrees
Step-by-step explanation:
the little circular things in the angles show that angle CAD and DAB are congruent meaning both equal 29 degrees. since CAB=CAD+DAB, CAB= 29+29= 58
find dz dt by the chain rule where z = cosh2 (xy), x = 1 2 t, and y = e t .
To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.
Given:
z = \(cosh^{2} (xy)\)
x = (1/2)t
y = \(e^{t}\)
Let's start by finding the partial derivatives of z with respect to x and y:
∂z/∂x = \(2cosh(xy) * sinh(xy) * y\) (using the chain rule)
∂z/∂y = \(2cosh(xy) *sinh(xy)*x\) (using the chain rule)
Next, let's find the derivatives of x and y with respect to t:
dx/dt = 1/2
dy/dt = \(e^{t}\)
Finally, we can use the chain rule to find dz/dt:
dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)
= \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)
Now, substitute the given expressions for x and y:
\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)
Simplifying further, we have:
\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)
This is the expression for dz/dt using the chain rule with the given values of x and y.
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S=26.32 E=55 t=3 standard diviation=60% 3-year r=2.4% 10-year
r=3.1%
What minimum value would you assign? What isthe maximum value
you would assign?
For the given standard deviation the minimum value we would assign is 22.the maximum value we would assign is 88.
To calculate the minimum and maximum values based on the given information, we need to consider the standard deviation and the respective interest rates for the 3-year and 10-year periods.
Given:
S = 26.32 (Initial value)
E = 55 (Expected value)
t = 3 (Years)
Standard deviation = 60% (of the expected value)
3-year interest rate = 2.4%
10-year interest rate = 3.1%
To find the minimum value, we will calculate the value at the end of the 3-year period using the lowest possible growth rate.
Minimum value calculation:
Minimum value = E - (Standard deviation * E) = 55 - (0.6 * 55) = 55 - 33 = 22
Therefore, the minimum value we would assign is 22.
To find the maximum value, we will calculate the value at the end of the 10-year period using the highest possible growth rate.
Maximum value calculation:
Maximum value = E + (Standard deviation * E) = 55 + (0.6 * 55) = 55 + 33 = 88
Therefore, the maximum value we would assign is 88.
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Thursday: For the equation y=3x+5 what is the value of x when y=11? * *
Answer:
\(\huge\boxed{\bf\: 2 = x}\)
Step-by-step explanation:
Given,
y = 11We need to find x.
Equation: y = 3x + 5.
On solving,
\(y = 3x + 5\\(11) = 3x + 5\\11 - 5 = 3x\\6 = 3x\\6 \div 3 = x\\\boxed{\bf\:2=x}\)
\(\rule{150pt}{2pt}\)
(For 160,000 it takes 18ms to sort each half. Then merging together the two sorted halves with 80,000 numbers in each of them takes 40-218 = 4 ms. For 320,000 elements, it will take 240 to sort each half and 24 to merge the sorted halves with 160,000 numbers in each, for the total of 240+8 = 88 ms.)
For a larger input size of 320,000 elements, it will take 240 ms to sort each half and 24 ms to merge the sorted halves, resulting in a total time of 264 ms.
The given information describes the time required for sorting and merging operations on two different input sizes. For 80,000 elements, it takes 18 ms to sort each half, resulting in a total of 36 ms for sorting. Merging the two sorted halves with 80,000 numbers in each takes 40 - 18 = 22 ms.
When the input size is doubled to 320,000 elements, the sorting time for each half increases to 240 ms, as it scales linearly with the input size. The merging time, however, remains constant at 4 ms since the size of the sorted halves being merged is the same.
Thus, the total time for sorting and merging 320,000 elements is the sum of the sorting time (240 ms) and the merging time (4 ms), resulting in a total of 264 ms.
Therefore, based on the given information, the total time required for sorting and merging 320,000 elements is 264 ms.
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I need help comparing these two numbers
Answer:
-40 is larger then -60 cuz its negative
y’all please place this angle locations in the right spot like show me on a piece of paper or something please
The mall and bus stand are straight angles.
What is the Location of the angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
What is a Straight angle?
A straight angle in geometry is an angle with a vertex point that is at 180 degrees. In essence, it creates a straight line with sides that face away from the vertex.
Here, In the figure, it is given that:
Gas station/restaurant (vertical angles)
Your house/school (corresponding angles)
Courthouse/bank (alternate exterior angles)
Grocery store/hair salon (alternate interior angles)
Library/park (same side exterior angles)
Movie theater/car wash (same side interior angles)
Movie theater/arcade (linear pair)
Fire Station (obtuse angle)
And, According to the figure,
The mall and the bus stand are straight from each other.
Hence, The angle formed by the bus stand and the mall is a straight angle.
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points E, F and D are located on the circle C. The measure of arc ED is 108.
What is the measure of angle ECD ?
If there are 20 girls and 10 boys in a class, the ratio of boys to girls is calculated as:_____.
Answer: 1:2 or 1/2 or 1 to 2
Step-by-step explanation:
Boys=10
Girls= 20
Boys:Girls::10:20::1:2
solve for X
Please walk me through the steps, I understand most of it I just forgot how to do it
Answer:
x=8
Step-by-step explanation:
first you need to find the unknown corner so you do 180-71= 109
then find the interior angle degree (n-2)*180 (n=number of sides) so (4-2)*180=2(180)=360
then set everything equal to 360:
10x+6+13x-2+8x-1+109=360
(combine like terms)
31x+112=360
(subtract 112 form both sides)
31x=248
(divide both sides by 31)
x=8
a restaurant wants to know if men and women's opinion on the new entrance fragrance is equal. the null and alternate hypothesis would be written as
The options are given as follows:
a. H0: fragrance opinion is not independent of gender; Ha: fragrance opinion is independent of gender
b. H0: gender = fragrance opinion; Ha: gender \(\neq\) fragrance opinion
c. H0: fragrance opinion is independent of gender; Ha: fragrance opinion is not independent of gender
d. H0: gender \(\neq\) fragrance opinion; Ha: gender = fragrance opinion
The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.
The answer is option (d).
H0: gender \(\neq\) fragrance opinion
Ha: gender = fragrance opinion
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Please help!!
Mr. Sanchez’s class sold fruit pies for $1.65 each and Mr. Kelly’s class sold bottles of fruit juice for $1.36 each. Together, the classes sold 79 items and earned $118.17 for their school.
(a) Write and solve a system of equations that model the problem. Show all your work.
(b) Which class earned more money?
(c) How much more money did that class earn?
Answer:
Step-by-step explanation:(a)
1.65p+1.36j=118.17 and p+j=79
We can say p=79-j and sub this value in first equation
1.65(79-j)+1.36j=118.17
130.35-1.65j+1.36j=118.17
-0.29=-12.18
j=42, p=79-j, p=79-42=37
(b)
1.65(37)=61.05 and 1.36(42)=57.12
Sanchez class earned more selling pies.
(c)
61.05-57.12=3.93
So Sanchez class made $3.93 more than Kelley class.
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8,397 ÷ 27 =
Write it out and make it understandable pls :)
Answer:
8,397÷27=311 r0
Step-by-step explanation:
Hopefully you can see where I'm going with this.
find the exact length of the curve y=x36+12x,12≤x≤1.
Now, we can set up the integral to calculate the length of the curve:
\(L = ∫[a, b] √(1 + (dy/dx)^2) dx\)
\(L = ∫[12, 1] √(1 + (3x^2 + 12)^2) dx\)
What is Arhac length.?
Arc length refers to the length of a curve in a two-dimensional space. It represents the distance along the curve between two points. Arc length is calculated using mathematical methods, such as integration, to measure the length of a curve segment. It is an important concept in calculus and geometry, with applications in various fields, including physics, engineering, and computer graphics.
To find the exact length of the curve\(y = x^3 + 12x\), over the interval 12 ≤ x ≤ 1, we can use the arc length formula for a curve in Cartesian coordinates.
The arc length formula is given by:
\(L = ∫[a, b] √(1 + (dy/dx)^2) dx\)
First, let's find dy/dx for the given function\(y = x^3 + 12x:\)
\(dy/dx = 3x^2 + 12\)
Next, let's square and simplify the expression inside the square root:
\((1 + (dy/dx)^2) = 1 + (3x^2 + 12)^2\)
Now, we can set up the integral to calculate the length of the curve:
\(L = ∫[a, b] √(1 + (dy/dx)^2) dx\)
\(L = ∫[12, 1] √(1 + (3x^2 + 12)^2) dx\)
Unfortunately, this integral does not have a simple closed-form solution. Therefore, to find the exact length of the curve, numerical methods or approximations would need to be employed.
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When his daughter alisa was born, mike began saving for her wedding. He wanted to have saved about $30,000 by the end of 20 years. How much should mike deposit into an account that yields 3% interest compounded annually in order to have that amount? round your answer to the nearest thousand dollars.
She should mike deposit of $16610.27 into an account that yields 3% interest compounded annually
what is compound interest?
Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.
we know that
The compound interest formula is equal to
\(A=P {(1 +\frac{r}{n})^{nt} }\)
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
t=20 years
A=$30000
r=0.03
n=1
substitute in the formula above
\(30000=P {(1 +\frac{0.03}{1})^{1*20} }\)
=> $16610.27
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Find the result of |x-1|=2
The absolute value of x minus one is equal to two. Therefore, x must be either one greater than two (x = 3) or one less than two (x = 1).
One less than x results in a value of two in absolute terms. As a result, x minus 1 has an absolute value of 2, which is a positive number. The separation of an integer from zero is its absolute value. As a result, x minus 1 is two units from zero in absolute terms. As x minus one has an absolute value of two, its real value must either be two or a negative two. That is to say, x must either be one more than two (x = 3) or one less than two (x = 1).In order to confirm this, let's look at a few examples. If x = 3, then |x - 1| = |2 - 1| = |1| = 1 which is not equal to two. Therefore, x = 3 is not the answer we are looking for. On the other hand, if x = 1, then |x - 1| = |1 - 1| = |0| = 0 which is not equal to two. Therefore, x = 1 is also not the answer we are looking for. The only two possible solutions for the equation |x - 1| = 2 are x = 3 and x = 1. Therefore, the result of |x - 1| = 2 is that x must be either one greater than two (x = 3) or one less than two (x = 1)
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Question 5: (True/False) a)_ In a hypothesis test , YOU assume the alternative hypothesis is true b). A statistical hypothesis is a statement about a sample. C) If you decide to reject the null hypothesis, then you can support the alternative hypothesis_ d). The level of significance is the maximum probability YOu allow for rejecting null hypothesis when it is actually true e)_ A large P-value in a test will favor rejection of the null hypothesis_
In a hypothesis test, YOU presumptively believe the alternative hypothesis, a statistical hypothesis is a claim regarding a sample, If you choose to reject the null hypothesis, you can then decide whether or not the alternative hypothesis is correct.
What is statistical hypothesis?A hypothesis is a proposition that makes sense in light of the available information but has neither been confirmed nor refuted. A statement on which hypothesis testing will be based is referred to as a hypothesis in statistics (also known as a statistical hypothesis).Mathematical operations like addition, subtraction, multiplication, division, and exponentiation are all instances. The most popular type of mathematics is arithmetic. The mean IQ score for a randomly selected group of thirty students is 112.5. With a standard deviation of 15, the population's average IQ is 100.Examining the entire population would be the greatest approach to find out whether a statistical hypothesis is accurate. Researchers often look at a random sample of the population since doing so is frequently not possible. The statistical hypothesis is disproved if sample data are incongruent with it.To learn more about statistical hypothesis, refer to:
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a store sells 8 colors of balloons with at least 29 of each color. how many different combinations of 29 balloons can be chosen?
There are generally \(6.776 x 10^{35}\) particular combinations of 29 inflatables(balloons) that can be chosen from the store.
Given data,
Since there are 8 colors of balloons,
we need to select 29 balloons from each color to
Calculate a total of 29 x 8 = 232 balloons.
We need to find the number of different combinations of 29 balloons
that can be chosen from this set of 232 balloons.
Able to utilize the condition for combinations:
we know that,
C(n, r) = n! / (r! * (n - r)!) ...........(1)
where n is the complete number of things
and C is the combination of given(29) balloons.
r is the number of things to choose.
Substituting the above values into equation (1)
we get
C(232, 29) = 232! / (29! * (232 - 29)!) = \(6.776 x 10^{35}\)
Along these lines, there are generally \(6.776 x 10^{35}\) particular combinations of 29 inflatables(balloons) that can be chosen from the store.
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in class, 30% of students study hindi, 45% study maths, and 15% study both hindi and maths. if a student is randomly selected, what is the probability that he/she study hindi or maths?
The probability that a randomly selected student studies Hindi or Maths is 0.60 or 60%.
We can use the formula P(A or B) = P(A) + P(B) - P(A and B) to find the probability that a randomly selected student studies Hindi or Maths is calculated by adding the probabilities of studying Hindi and Maths and subtracting the probability of studying both Hindi and Maths.
P(Hindi or Maths) = P(Hindi) + P(Maths) - P(Hindi and Maths)
P(Hindi or Maths) = 0.30 + 0.45 - 0.15
P(Hindi or Maths) = 0.60
Therefore, if a student is selected randomly, then the probability that he/she studies Maths or Hindi is 0.60 or 60%.
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When Robert was born he weighed 8 pounds. How many ounces did he weigh
Answer:
128 ounces
Step-by-step explanation:
1 lb = 16 oz :) hope this helps!