The quotient of division 2/( √13+√11) is (√13-√11).
A quotient is a quantity that is obtained by dividing two integers. The answer is D.
What is a quotient?
A quotient is a quantity that is obtained by dividing two integers. The quotient is a term that is widely used in mathematics to refer to the integer component of a division, as well as a fraction or a ratio.
In order to find the quotient of the fraction, we need to take the rationalize of the fraction.
= 2/(√13 + √11)
= 2/(√13 + √11) x (√13 - √11)/(√13 - √11)
= 2(√13 + √11)/(√13)^2 - (√11)^2
= 2(√13 - √11)/13-11
= 2(√13-√11)/2
= (√13-√11)
Hence the answer is, the quotient of division 2/( √13+√11) is (√13-√11).
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Write 52/11 decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
4.727273
Step-by-step explanation:
50 POINTS!! Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which statement best describes triangle A′B′C′?
A) It is similar to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
B) It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
C) It is congruent to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
D) It is congruent to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20,
Answer:
B) It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
Step-by-step explanation:
If the vertices of a triangle ABC are dilated by a scale factor of 2, the coordinates of the vertices of triangle A'B'C' can be found by multiplying each coordinate of ABC by the scale factor.
Therefore, the coordinates of the vertices of triangle A'B'C' are:
A' = (4 × 2, -6 × 2) = (8, -12)B' = (2 × 2, -8 × 2) = (4, -16)C' = (-10 × 2, 4 × 2) = (-20, 8)As the triangle has been dilated, its size has changed but its shape has not. Therefore, the triangles are similar.
Trapezoid ABCD is congruent to trapezoid A′′B′′C′′D′′ . Which sequence of transformations could have been used to transform trapezoid ABCD to produce trapezoid A′′B′′C′′D′′ ? Responses Trapezoid ABCD was reflected across the y-axis and then across the x-axis. , , trapezoid A B C D, , , , was reflected across the y -axis and then across the x -axis. Trapezoid ABCD was reflected across the y-axis and then translated 7 units up. , , trapezoid A B C D, , , , was reflected across the y -axis and then translated 7 units up. Trapezoid ABCD was reflected across the x-axis and then across the y-axis. , , trapezoid A B C D, , , , was reflected across the x -axis and then across the y -axis. Trapezoid ABCD was translated 7 units up and then 12 units left. , , trapezoid A B C D, , , , was translated 7 units up and then 12 units left.
The sequence of transformations used to transform ABCD to A"B"C"D" is; Trapezoid ABCD was reflected across the y-axis and then translated 7 units up.
How to find the sequence of transformation?From the figure we have the pre image before transformation as Quadrilateral ABCD which is located at the bottom right of the graph.
Trapezoid ABCD and A"B"C"D" are equidistant from the x-axis
Trapezoid ABCD and A"B"C"D" are equidistant from the y-axis
Now, it is clear that Quadrilateral ABCD was first reflected across the y-axis.
Thereafter, when we look at the coordinates of the final transformed quadrilateral, it is clear that the second step of transformation was to translate the image by 7 units upwards.
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Which statement describes 0.34? Select all that apply.
A It is a repeating decimal.
B It is a non-terminating decimal.
C It is a non-repeating decimal.
D It is a terminating decimal.
E It is a rational number.
F It is not a rational number.
The correct statements are A, B and E
SOLUTION:
Given, number is
We have to choose the statements that correctly describes the above number.
Now, we know that, a bar on a number represents it is repeating decimal. So let us check options now.
A. It is a repeating decimal.
As the number has it is repeating decimal. So this option is correct.
B. It is a non-terminating decimal.
As the number is repeating, it will not terminate, so this option is correct.
C. It is a non-repeating decimal.
No, it is repeating. So this is wrong statement.
D. It is a terminating decimal.
It is non – terminating, so this is wrong.
E. It is a rational number.
As it is repeating, we can represent it in fraction, so this is correct.
F. It is not a rational number.
It is rational number so, this is wrong option.
Answer:
The answers are
A.
B.
E.
Which of the following is true regarding the normal distribution?
a) It has two modes.
b) It is asymmetrical.
c) The mean, median, and mode are all equal.
d) The points of the curve meet the x-axis at z = -3 and z = 3.The correct option is c) The mean, median, and mode are all equal.
A normal distribution is a mathematical expression that defines the probability distribution of data. It is a unimodal concept, and it is symmetrical from both ends. Normal distribution emphasizes the equal mean, median, and mode of given data.
The correct option is C when the equal mean, median, and mode of the given data are highlighted by the normal distribution.
Given that,
We have to find the correct option for which of the following statements about the normal distribution is accurate.
The options are
a) It has two modes.
b) It is asymmetrical.
c) There is equality in the mean, median, and mode.
d) At z = -3 and z = 3, the curve's points intersect the x-axis.
We know that,
What is normal distribution?The most significant continuous probability distribution in probability theory and statistics is the normal distribution, also referred to as the gaussian distribution. On occasion, it is referred to as a bell curve.
The probability distribution of data is expressed mathematically as a normal distribution. It is symmetrical from both ends and has only one mode. The equal mean, median, and mode of the given data are highlighted by the normal distribution.
Therefore, The correct option is C when the equal mean, median, and mode of the given data are highlighted by the normal distribution.
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Complete the square for the expression. Also, identify the resulting expression as a binomial squared. X2 + 15x + ____.
The completed square of the expression is x² + 15x + 225/4 and the expression as binomial squared is (x + 15/2)² .
In the question ,
it is given that ,
the expression s given as x² + 15x + 225/4 ,
we have to complete the expression,
Dividing 15 by 2 , = 15/2
writing 15/2 as a power of 2 , (15/2)² = 225/4
the completed equation is X2 + 15x + 225/4 .
and the binomial squared of the expression is (x + 15/2)²
Therefore , the expression is x² + 15x + 225/4 and binomial squared is (x + 15/2)² .
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the total probability rule is used when an analyst is interested in: a. all potential outcomes. b. a set of events. c. a single outcome.
The total probability rule is used when an an analyst is interested in a)all potential outcomes. So, correct option is a.
Probability is the branch of the mathematics concerning numerical descriptions of how likely an event is going to occur, or how likely it is that a proposition is true. The probability of an event is the number between 0 and 1, where, roughly speaking, 0 indicates that impossibility of the event and 1 indicates certainty. If probability of an event is higher then, the more likely it is that the event will occur.
Probability can be defined as the proportion of the number of favorable outcomes to the total number of outcomes of an event..
Hence, option a is correct.
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What is the perimeter of rhombus lmno? 20 units 24 units 40 units 48 units
The perimeter of the rhombus LMNO is 48 units
In the rhombus LMNO,
The length of the side LM = The length of the side MN = The length of the side NO = The length of the side ON
Then,
The length of the side LM = 3x - 3
The length of the side MN = x + 7
Both are equal, then the equation will be
3x - 3 = x + 7
Group the like terms
3x - x = 7 + 3
2x = 10
x = 10 /2
x = 5
Substitute the value in second equation
x + 7 = 5 + 7
= 12 units
The perimeter of the LMNO = 4 × 12
= 48 units
Hence, the perimeter of the rhombus LMNO is 48 units
The complete question is
What is the perimeter of rhombus LMNO ? A) 20 units B) 24 units C) 40 units D) 48 units
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Given regular pentagon $ABCDE$, a circle can be drawn that is tangent to $\overline{DC}$ at $D$ and to $\overline{AB}$ at $A$. The number of degrees in minor arc $AD$ is
Define major arc DA as $DA$, and minor arc DA as $da$. Extending DC and AB to meet at F, we see that $\angle CFB=36=\frac{DA-da}{2}$. We now have two equations: $DA-da=72$, and $DA+da=360$. Solving, $DA=216$ and $da=144\Rightarrow \mathrm{(E)}$.
Let $O$ be the center of the circle. Since the sum of the interior angles in any $n$-gon is $(n-2)180^\circ$, the sum of the angles in $ABCDO$ is $540^\circ$.
Since $\angle ABC=\angle BCD=108^\circ$ and $\angle OAB=\angle ODC= 90^{\circ}$, it follows that the measure of $\angle AOD$, and thus the measure of minor arc $AD$, equals $540^\circ - 108^\circ-108^\circ-90^\circ-90^\circ=\boxed{\mathrm{(E)}144^\circ}$.
Number of degrees of minor arc is 108 degrees.
It is given that a regular pentagon ABCDE, a circle is drawn that is tangent to DC at D and to AB at A.
We need to find the number of degrees in the minor arc AD ie angle AED
A regular pentagon has all sides equal and all angles are equal.
The sum of all the angles of a pentagon is 540 degree
Each angle od a pentagon is 540/5 = 108 degree
Therefore, Number of degrees of minor arc is 108 degrees. or angle AED is 108 degrees.
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A box with a square base, and no top made of a square piece by cutting 5 in. squares from each corner and folding up the sides. The box is to hold 6480 in3. How big a piece of cardboard is needed?
46 inches big piece of cardboard is needed.
A square box is a three-dimensional object with the shape of a cube.
As per the question,
Let the piece of cardboard = x inchesSide of the square( after cutting 5 in. from each corner ) = x - 10Height of the box( when folded ) = 5The volume of the box = 6480 in³We know that,
V = h × w × l → 1
where, V = volume of the box
h = height of the box
w = width of the box
l = length of the box
Substitute the values V = 6480, h = 5, w = x - 10 and l = x - 10 in 1,
⇒ 5 × ( x - 10 ) × ( x - 10 ) = 6480
⇒ 5 × ( x² - 10x - 10x + 100 ) = 6480
⇒ 5 × ( x² - 20x + 100 ) = 6480
⇒ 5x² - 100x + 500 = 6480
⇒ 5x² - 100x = 6480 - 500
⇒ 5x² - 100x = 5980
⇒ 5x² - 100x - 5980 = 0
⇒ 5 ( x² - 50x - 1196 ) = 0
⇒ x² - 50x - 1196 = 0
By solving the equation x² - 50x - 1196 = 0 we get,
x = 46 and -26
⇒ We eliminate x = -26 since it is a negative value
⇒ We consider the positive value x = 46.
Therefore, 46 × 46 inches is the dimensions of the square card box.
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How do you prove that an equilateral triangle is similar?.
For equilateral triangles, each side is equal. Hence the ratio between two sides of different triangles will be constant. Hence, all equilateral triangles are similar.
What is the equilateral triangle?
An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal.
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If w = 4y and 2w = 8, find the value of y.
Answer:
y=1
Step-by-step explanation:
we can find what w is equal to first
2w=8
/2. /2
w=4
Now we fill in w to find y
4=4y
/4. /4
1=y
Hopes this helps please mark beainliest
what are the coordinates of the point on the directed line segment from (-8, 5) to (-1, -2) that partitions the segment into a ratio of 5 to 2?
The coordinates of the point on the directed line segment from (-8, 5) to (-1, -2) that partitions the segment into a ratio of 5 to 2. Then the coordinates are (-3, 0).
How to determine the coordinatesComparison in Vector
If P divides AB by the ratio AP : PB = m : n, the position vector of the point P : [tex]\boxed{\vec {p} =\frac{m\vec b + n\vec a}{m + n}}[/tex]
Suppose
The position vector of the point A (-8, 5) = a
The position vector of the point B (-1, -2) = b
Look at the picture in the attachment
Point P that partitions the segment into a ratio of 5 to 2 so that AP : PB = 5 : 2. Since m = 5 and n = 2, then:
[tex]$\begin{align} \ \vec {p} & =\frac{5\vec b + 2\vec a}{5 + 2} \\ \vec {p}& = \frac{1}{7} (5\vec b + 2\vec a) \\ \vec {p}& = \frac{1}{7} \left (5\begin{array}{c} \left[\begin{array}{cc}-1\\-2\end{array}\right] +2 \left[\begin{array}{cc}-8\\5\end{array}\right] \end{array}\right) \\ \vec {p}& = \frac{1}{7} \left (\begin{array}{c} \left[\begin{array}{cc}-5\\-10\end{array}\right] + \left[\begin{array}{cc}-16\\10\end{array}\right] \end{array}\right) \end{align}[/tex]
[tex]$\begin{align} \ \vec {p} & = \frac{1}{7} \left (\begin{array}{c} -21\\0 \end{array}\right) \\ \vec {p} & = \left (\begin{array}{c} -3\\0 \end{array}\right) \end{align}[/tex]
The coordinates that partitions the segment into a ratio of 5 to 2 is (-3, 0).
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Please help. Pls. I will give you brainliest. You dont have to write 200 words Just choose a topic and write some sentences- I will do the rest ~~~Ty
Answer:
I had to screenshot from my computer because it said (you have an inappropriate word or link in your answer)
we do things called culture monday at our school where we write about a problem and then do a discussion on it in the classroom
this was mine so nooooo plagiarism or anything.
please mark brainliest......
Answer:
World War II started on September 1st, 1939, a decade after America’s stock market crash and downfall of the economy, which was in 1929, when Germany, led by a man born in Austria called Adolf Hitler, invaded Poland. France and England immediately declared war on Germany and Germany’s allies.
Germany had two allies, Japan and Italy, Italy mostly provided food and supplies, while Japan provided manpower, along with Germany. Germany, Japan, and Italy were called the Axis powers, and England, Russia (Then called the Soviet Union), and America (When America joined the war), along with many other countries, such as China and France (Except for the four years which Germany occupied France, 1940--1944), were called the Allied powers.
Germany invaded and occupied Austria, Belgium, France, Norway, Luxembourg, Greece, Czechoslovakia, Greece, Denmark, Holland, Hungary, the Netherlands, and many other countries with the help of Italy and Japan.
The United States wanted to be neutral through World War II like the Irish and Swiss, but the Axis Powers did not let this happen. Instead, Japan bombed Pearl Harbor and utterly destroyed and sunk many ships, so the United States had no choice but to join the war and the Allied forces.
The United States both lost and won many battles, and Germany was losing battles against the Soviet Union and England. Germany lost many battles in the Soviet Union, which was fought in harsh and bitter cold, and also lost the Battle of Britain fought in the skies over England between Britain’s Royal Air Force (RAF) and Germany’s Luftwaffe.
Many people died as a result of the Battle of Britain by bombs and flying shrapnel. In order to try to get their country back to normal, Great Britain started to ration food, drafted men over eighteen to go to the war front, made shelters all over England, in cities, towns, even in the country, in case of an air raid. The Battle of Britain was mostly fought in the skies of London, but enemy planes heading towards London to fight might drop a bomb to wipe away towns, cities, or a part of country off the map.
Germany soon retreated from Great Britain and thought that England would surrender with the rest when Germany conquered and ruled the world, which was Germany’s goal, but England, after some recovery, fought Germany as hard as ever, angered by the people and planes lost because of the Battle of Britain.
In the middle of this, President Franklin Delano Roosevelt died because of a mixture of bad health, too much stress, and his polio. Americans grieved for President Roosevelt, and elected a new president, President Harry Truman.
With forces fighting with both the Soviet Union and England, and later fighting on D-Day, Germany could not last for long, even with its two allies. But the number of allies Germany had soon reduced to one, for Italy joined the Allied powers, betraying the Axis Powers. Germany desperately tried to fight back the forces of the Allied powers, but soon surrendered days after Adolf Hitler’s death, on May 8th, 1945.
Even when its ally Germany had surrendered and Italy had gone over to the Allies, Japan still fought, even though there was very little chance they would win. This was a bad idea, an idea which would change history. The Allied powers turned their full attention on defeating Japan, which was a bad thing, since Japan could only take over a few islands in the Pacific belonging to the United States and could not defeat any others in the beginning when the Allied powers’ attention was divided. As a result, many, at least hundreds, died, deaths that were not even necessary. The United States dropped two atomic bombs from one of America’s bomber planes on Japan’s two major cities, Hiroshima and Nagasaki days apart, so Japan surrendered, unable to lose any more people then it had already.
The two atomic bombs were built in the midst of fighting and stress of World War II in Manhattan, New York by a group of people who specialized in physics, math, and chemistry. The atomic bomb’s code name was: The Manhattan Project. The Manhattan Project, when done and ready, after dropped from an American bomber plane, killed over a hundred thousand Japanese in the two major cities Hiroshima and Nagasaki, most of them regular Japanese civilians going about their daily life.
World War II was a very important war and time period that changed the world. It changed the human race. The atomic bomb, invented in World War II, soon led other countries, such as England, France, the Soviet Union (Later known as Russia), and China to build it too, which gave these countries a huge advantage in war. America’s stock market bounced back. President Harry Truman became popular for ending World War II.
Step-by-step explanation:
Sorry I'm late
803 words
Brainliest, Please!Select the correct answer. Victor solved this inequality as shown: Step 1: 3x − 5 > x + 5 Step 2: 2x − 5 > 5 Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequality B. inverse property of multiplication C. subtraction property of inequality D. transitive property of inequality
The property that justifies the work between step 3 and step 4 is division of property of inequality (option A)
What is the division property of inequality?The division property of inequality states that if you divide one side of an inequality by a number, you can divide the other side of the inequality by the same number.
It can also be stated as if we divide both sides of an inequality by the same number, the inequality remains the same.
At step 3: 2x>10
2 is used to divide both sides
2x/2>10/2
x>5(step 4)
Therefore the property between step 3 and step 4 is division property of inequality.
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Which congruence theorem can be used to prove ABC equals DEC?.
Because the corresponding sections of congruent triangles are congruent, you may use the Vertical Angles Congruence Theorem to demonstrate that ABC DEC. b. CAB CDE.
The AAS Theorem is what?According to the Angle-Side-Angle Postulate (ASA), two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.
Are AAS and SAA the same?Two postulates that aid in determining if two triangles are congruent are ASA and AAS. While AAS stands for "Angle, Angle, Side," ASA stands for "Angle, Side, Angle." If two figures are the same size and shape, they are said to be congruent. In other words, two congruent figures are actually two separate locations of the same figure.
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Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and tv shows. To do this, they plan to calculate a 95% confidence interval to estimate the proportion. They would like a margin of error of. 5. How many subscribers must they sample to obtain this interval?.
The number of subscribers they must sample to obtain this interval is: b) 385.
How to find the sample?
95% confidence interval for z-score is 1.96
Using this formula to find the number of subscribers they must sample to obtain this interval
n≥ (zσ/2 ÷ 2ME)²
Where:
n= Sample
zσ = Z-score
ME = margin of error
Let plug in the formula
n≥ [1.96 / 2(0.05)]²
n≥ [1.96 / 0.1]²
= (19.6)²
= 384.16
=385 (Rounded)
Therefore the correct option is B.
The complete question is:
Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and TV shows. To do this, they plan to calculate a 95% confidence interval to estimate the proportion. They would like a margin of error of .05. How many subscribers must they sample to obtain this interval?
a) 1537
b) 385
c) 192
d) 10
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Simplify 6(3x−5)5(2x−1). Write your anwer in factored form. Explain how you found your anwer. Input Field 1 of 1
Skip to input field
The given expression can be expressed in the form of factored form as (12x - 20)(12x - 6).
What is a quadratic equation?
A quadratic equation is any equation in algebra that can be rearranged in standard form as ax²+bx+c=0, where x is an unknown value and a, b, and c are known numbers.
It has two solutions.
The given equation is 6(3x−5)5(2x−1).
Then it can be expressed as
= 6(3x − 5)(10x − 5)
= (18x − 30)(10x − 5)
= (180x² − 90x - 300x + 150)
= 180x² − 390x + 150
Simplifying we get
= 60x² - 130x + 50
= (12x - 20)(12x - 6)
Hence, the given expression can be expressed in the form of factored form as (12x - 20)(12x - 6).
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in a call center the number of received calls in a day can be modeled by a poisson random variable. we know that on average about 0.5% of the time the call center receives no calls at all. what
The average number of calls per day that can be modeled by a Poisson random variable is denoted by λ is equal to 5.29832.
A Poisson distribution in statistics is a probability distribution that is used to demonstrate how frequently an event is likely to happen over a given period of time.
Let C denotes the number of calls per day.
Given:
On average about 0.5% of the time the call center receives no calls at all.
So, P(C = 0) = 0.5% = 0.005
The formula for Poisson distribution is:
=> e^-λ . λ^x / x!
where x = 0,1,2,3, ....
λ = mean number of occurrences in the interval
e = Euler's constant ≈ 2.71828
=> -λ = ln (0.005)
=> λ = 5.29832
Thus, the average number of calls per day is equal to λ = 5.29832.
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the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is:
The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.
What is square of correlation coefficient?
A helpful number in linear regression is the square of the correlation coefficient, or r2.
The percentage of the variance in one variable that can be partially explained by another variable is represented by this value.
The summary table in the Regression output contains the "R" value, which is the coefficient of correlation.
Coefficient of determination is another name for R square. To calculate R squared, multiply R by R.
The square of the correlation coefficient is what is meant by the term "coefficient of determination."
Hence, the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.
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expert that helps you learn core concepts.
See Answer
Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 23, 25, 16, 20, 13, 10, 28, 19. Use Table 2.
a. Calculate the sample mean and the sample standard deviation. (Round intermediate calculations to 4 decimal places. Round "Sample mean" to 3 decimal places and "Sample standard deviation" to 2 decimal places.)
Sample mean.
Sample standard deviation
b. Construct the 90% confidence interval for the population mean. (Round "t" value to 3 decimal places and final answers to 2 decimal places.)
Confidence interval to
c. Construct the 99% confidence interval for the population mean. (Round "t" value to 3 decimal places and final answers to 2 decimal places.)
Confidence interval to
The sample mean of the observations is 19.25 and the standard deviation is 2.15
Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.
Sample standard deviation is the square root of the variance
mean = (23 + 25 + 16 + 20 + 13 + 10 + 28 + 19)/8
mean = 19.25
variance = (x₁ - mean)²/n(n-1)
variance = ((23 - 19.25)² + (25 - 19.25)² + (16 - 19.25)² + (20 - 19.25)² + (13 - 19.25)² + (10 - 19.25)² + (28 - 19.25)² + (19 - 19.25)²)/(8(7))
variance = 259.5/56
variance = 4.63
Standard deviation = √variance = √4.63 = 2.15
Therefore, the sample mean of the observations is 19.25 and the standard deviation is 2.15
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
From a principal amount of $13000, the amount compounded at a rate of 3% quarterly over a time period of 5 years is $15,095.39
Compound InterestThe compound interest is the interest-based on the initial principal amount and the interest collected over the period of time. The formula for compound interest can be derived from the formula for simple interest. The formula for simple interest is the product of the principal, time period, and rate of interest (SI = ptr/100). Before looking into to derivation of the formula for compound interest, let us understand the basic difference between simple interest, compound interest computation. The principal remains constant over a period of time, for simple internet computation, but for compound interest computation the interest is added to the principal, for compound interest computation. The compound interest formula is given below:
A = P(1 + r/n)^nt
Compound InterestP = principalr = rate n = number of times compoundedt = timePutting the values in the formula above
A = 13000(1 + 0.03/4)^4 * 5
A = 13000(1.0075)^20
A = $15,095.39
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here are 100 balls in a hat. 10 of them are RED, and 90 are BLACK. 3 balls are drawn at random with replacement. The following is the discrete probability distribution where R is the number of red balls drawn from the hat described above. P(R) 0.729 0.243 0.027 .001 What is the standard deviation for this probability distribution? (Be sure to use many (floating) decimals in your calculations, but round your answer to 3 decimal places.)
The standard deviation for that probability distribution is 0.520.
How to calculate standard deviation?R = amount red ball drawn from the hat
P(R) = probability red ball drawn from the hat
σ = standard deviation
Standard deviation for probability distribution can be calculated by this formula,
σ = [tex]\sqrt{\sum R^2P(R)-(\sum RP(R))^2}[/tex]
First, we calculate [tex]\sum R^2P(R)[/tex]
[tex]\sum R^2P(R)[/tex] = [tex]0^2[/tex] × 0.729 + [tex]1^2[/tex] × 0.243 + [tex]2^2[/tex] × 0.027 + [tex]3^2[/tex] × 0.001
= 0 × 0.729 + 1 × 0.243 + 4 × 0.027 + 9 × 0.001
= 0 + 0.243 + 0.108 + 0.009
= 0.36
Next, we calculate [tex]\sum RP(R)[/tex]
[tex]\sum RP(R)[/tex] = 0 × 0.729 + 1 × 0.243 + 2 × 0.027 + 3 × 0.001
= 0 + 0.243 + 0.054 + 0.003
= 0.3
Now, we can calculate standard deviation,
σ = [tex]\sqrt{\sum R^2P(R)-(\sum RP(R))^2}[/tex]
= [tex]\sqrt{0.36-(0.3)^2}[/tex]
= [tex]\sqrt{0.27}[/tex]
= 0.51961524227
round to 3 decimal places
= 0.520
Thus, this probability distribution of red balls drawn from the hat has a standard deviation of 0.520.
Your question is incomplete, but most probably your full question was (image attached)
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a top-performing seller, who sells items at an online marketplace, would like to test the claim that the average number of daily visitors to their online shop is greater than 980 visitors. to test this claim, at the 10% significance level, the top-performing seller collects the following data on a sample of 23 days and records the number of visitors. the following is the data from this study:
Parameter of interest: Considered Level of significance = 0.01 This is a right-tailed test.
What is z test?
If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.
Here the data is normally distributed and using the sample mean.
Parameter of interest :
Let u denote the population means. Considered Level of significance = 0.01 This is a right-tailed test.
Hence, the Considered Level of significance = 0.01 This is a right-tailed test.
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a coin is flipped eight times where each flip comes up either heads or tails. how many possible outcomes: 1). are there in total? 2). contain exactly three heads? 3). contain at least three heads? 4). contain the same number of heads and tails?
There are 256 ways in total and 56 possible outcomes contain exactly three heads. The possible outcomes contain at least three heads is 219.
Consider the provided information.
A coin is flipped eight times where each flip comes up either heads or tails.
Part (a) How many possible outcomes are there in total?
Each time we flip a coin it comes up either heads or tail.
Therefore the total number of ways are: 2⁸ = 256
Hence, there are 256 ways in total.
Part (b) contain exactly three heads?
We want exactly 3 heads, therefore,
n=8 and r=3
According to the definition of combination:
To get exactly 3 heads,
n=8 and r=3
(⁸C₃ ) = 8! / 3!(5!) = 56.
Therefore, there are 256 ways in total and 56 possible outcomes contain exactly three heads. The possible outcomes contain at least three heads is 219.
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find+the+standard+deviation+for+a+security+that+has+three+oneyear+returns+of+5%,+10%,+and+15%.+question+content+area+bottom+part+1+a.+25.00%+b.+8.33%+c.+16.67%+d.+5.00%
Answer:
Step-by-step explanation:
its 100%
What is the slope of the line that passes through the points (1, 6)(1,6) and (13, 2)(13,2)? write your answer in simplest form.
Answer:
-1/3
Step-by-step explanation:
(2-6)/(13-1)
-4/12
-1/3
You decided to get ome ice cream at Sweet Frog. The cot i $0. 30 per ounce, but you have a pride card that give you a dicount of $0. 10 off per ounce. If you buy 12 ounce of ice cream, what will be your total cot, excluding tax?
your total cost will be, excluding tax $2.4
What is a discount off?
A fixed amount off a price means subtracting the fixed amount from the original price. For example, if a service normally costs $95, and you have a $20 off coupon, you would deduct $20 from $95 to get the final price.
We have,
Initial cost per ounce = $0. 30
discount off per ounce = $0. 10
cost of 12 ounces of ice cream =?
so, the new cost per ounce will be,
$0. 30 - $0. 10 = $0. 20
cost of 12 ounces of ice cream = 12 * $0. 20
= $2.4
Hence, your total cost will be, excluding tax $2.4
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What is the measure of angle FZJ?
Answer: 102 degrees
Step-by-step explanation:
just add 59 and 43 together
Answer:
102 degrees
Step-by-step explanation:
We are given angles JZU and UFZ already! This makes it easy to calculate FZJ, since it is an internal angle.
An internal angle like this is the sum of the other angles created by the line, in this case line segment UZ
What I'm saying is that the answer to your problem will be the sum of JZU and UFZ.
43 + 59 =
102 degrees
So, angle FZJ has a measurement of 102 degrees
There was a sample of 800 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 5.3% each year. Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams. Write an exponential function showing the relationship between y and t.After each year, the remaining mass is (1-0.053) = 0.947 times the mass at the start of the year. The exponential decay law is
y(t) = 800 (0.947)t milligrams
The exponential decay function which showing the relationship between y and t is y(t) = 800 (0.947)^t milligrams.
What is the formula for an exponential decay function?The formula for exponential decay is f(x) = ab^x, where b denotes the decay factor. In the exponential decay function, the decay rate is given as a decimal. The decay rate is expressed as a percentage. We convert it to a decimal by simply reducing the percent and dividing it by 100.
Thus, in this case:
the initial amount of sample = 800 mg
rate of decay = 5.3%
Hence, f(x) = ab^x
y(t) = 800 (1 - 5.3/100)^t
y(t) = 800 (0.947)^t
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