Please help me i make my questions worth more, and give brainliest....

What is the solution for the following equation?

y=2x^2+10x+12

a. x=-2 and x= -3
b.x=2 and x=3
c.x=-2 and x=3
d.x=2 and x=3

Answers

Answer 1

Answer:

Option A

Step-by-step explanation:

2x^2+10x+12

Divide through by 2

x^2 +5x+6=0

x^2 +3x+2x+6

x(x+3)+2(x+3)=0

(x+2)(x+3)=o

x=-2 or x=-3

Answer 2

Answer:

A

Step-by-step explanation:

I believe its A cause i just did the same question


Related Questions

A person decides to buy a new home, which is selling for $275,000. The bank that is lending the money requires a 10% down payment. How much is required to be paid down on the home?

$27,500
$5,500
$11,000
$2,750

Answers

27,500 Explantion; i used a calculator

I need help with problem 19

I need help with problem 19

Answers

Answer:

24 sides

Step-by-step explanation:

Step 1:

You do 180 - 165.

180 - 165 = 15

Step 2:

You do 360 divided by 15.

360/15 = 24

Step 3:

Write your answer.

Answer: 24 sides

\(\\ \rm\longmapsto n-2(180)=165n\)

\(\\ \rm\longmapsto 180n-360=165n\)

\(\\ \rm\longmapsto 15n=360\)

\(\\ \rm\longmapsto n=360/15\)

\(\\ \rm\longmapsto n=24\)

n is no of sides

a test has a mean of 85 with a standard deviation of 5. which of the following scores is within one standard deviation of the mean?

Answers

A test's standard deviation is 5 and its mean is 85. scores is within one standard deviation of the mean is 25/n^12.

The square root of the variance of a random variable, sample, mean ,statistical population, data set, or probability distribution is that variable's standard deviation. Although less robust in practice, it is algebraically simpler than the average absolute deviation.The fact that the standard deviation is expressed in the same unit as the data, as opposed to the variance, is a useful characteristic of the statistic.

variance = 5^2 = 25

standard deviation of the mean = ( variance / n )^1/2

= (25/n)^1/2

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Solve for u.

10 + 6u = 7u

u =

Answers

Answer:

u = 10

Step-by-step explanation:

10 + 6u = 7u

10 = u

Just subtract 6u on both sides.

In this problem the u = 10

let w be a subspace of rn, and let w ? be the set of all vectors orthogonal to w . show that w ? is a subspace of rn using the following steps. a. take z in w ?, and let u represent any element of w . then zu d 0. take any scalar c and show that cz is orthogonal to u. (since u was an arbitrary element of w , this will show that cz is in w ?.) b. take z1 and z2 in w ?, and let u be any element of w . show that z1 c z2 is orthogonal to u. what can you conclude about z1 c z2? why? c. finish the proof that w ? is a subspace of rn.

Answers

The three properties of a subspace must be demonstrated for the set of all vectors orthogonal to w, indicated as w?, in order to demonstrate that it is a subspace of Rn.

What is the vector?

In mathematics, objects with both magnitude and direction are called vectors. The vector's size is determined by the magnitude. It is shown as a line with an arrow, where the length of the line indicates the vector's magnitude and the arrow points in the desired direction. In addition, it goes by the names Euclidean vector, Geometric vector, Spatial vector, or just "vector."

What is the vectors are orthogonal?

The term "orthogonal" in mathematics denotes a direction at a 90° angle. If two vectors are perpendicular to one another and the result of the dot product analysis is zero, then the vectors are said to be orthogonal.

a) Let u be any component of w and choose any z in w. Since z and w are orthogonal to one another, zu = 0. Now, let cz be the result of c and z for any scalar c. The equation (cz)u = c(zu) = c * 0 = 0 is known. As u was an arbitrary element of w, this demonstrates that cz is orthogonal to u and therefore cz is in w?

b) Let u be any component of w and consider z1 and z2 in w. Both z1u and z2u are known to be zero. Given that the first argument of the dot product is linear, we know that (z1 + z2)u = z1u + z2u = 0 + 0 = 0. As u was an arbitrary member of w, this demonstrates that z1 + z2 is orthogonal to u and that z1 + z2 is in w?

c) We have demonstrated that w? is closed under addition and scalar multiplication from a and b. We observe that the zero vector is obviously orthogonal to any vector in w and is thus in w? to demonstrate that it contains the zero vector. This demonstrates that w? is a subspace of Rn since it satisfies all three characteristics of a subspace.

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assume that the random variable x is normally distributed, with mean μ = 70 and standard deviation σ = 12. compute the probability p(37 < x < 85).

Answers

Therefore, the probability that the random variable X falls between 37 and 85 is approximately 0.8916 or 89.16%.

To compute the probability P(37 < X < 85) for a normally distributed random variable X with a mean μ = 70 and standard deviation σ = 12, we need to standardize the values and use the standard normal distribution.

First, we calculate the z-scores for the given values:

z1 = (37 - μ) / σ = (37 - 70) / 12 ≈ -2.75

z2 = (85 - μ) / σ = (85 - 70) / 12 ≈ 1.25

Next, we use a standard normal distribution table or a calculator to find the probabilities associated with the z-scores.

Using a standard normal distribution table, we find:

P(Z < -2.75) ≈ 0.0028 (probability corresponding to z1)

P(Z < 1.25) ≈ 0.8944 (probability corresponding to z2)

To find the probability of the interval (37 < X < 85), we subtract the probability associated with the lower value from the probability associated with the upper value:

P(37 < X < 85) = P(-2.75 < Z < 1.25) = P(Z < 1.25) - P(Z < -2.75) ≈ 0.8944 - 0.0028 ≈ 0.8916

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Salmon and Federico are choosing a number between 1 & 100, picking a color from ROY G BIV, and picking a letter out of "INDIANA". Either one will go first. State the probability of each situation as a percentage, fraction and decimal.

1. Salmon chooses a composite number, A cool color( G BIV) and an A.

2.Federico chooses a prime number, A color starting with a vowel, and a constanant.

3.Either chooses a number divisible by 7 or 8, any color, and a vowel.

4. Either chooses a number divisible by 5 or 4, blue or green, and L or N

Answers

To determine the probabilities, we need to consider the number of favorable outcomes for each situation divided by the total number of possible outcomes.

1.Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7%

3. Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4.Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

1. Salmon chooses a composite number, a cool color (G, B, I, or V), and an A:

a) Composite numbers between 1 and 100: There are 57 composite numbers in this range.

b) Cool colors (G, B, I, or V): There are 4 cool colors.

c) The letter A: There is 1 A in "INDIANA."

Total favorable outcomes: 57 (composite numbers) * 4 (cool colors) * 1 (A) = 228

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 1 (possible letter) = 700

Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Federico chooses a prime number, a color starting with a vowel (E or I), and a consonant:

a) Prime numbers between 1 and 100: There are 25 prime numbers in this range.

b) Colors starting with a vowel (E or I): There are 2 colors starting with a vowel.

c) Consonants in "INDIANA": There are 4 consonants.

Total favorable outcomes: 25 (prime numbers) * 2 (vowel colors) * 4 (consonants) = 200

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 5 (possible letters) = 3500

Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7% (rounded to one decimal place)

3. Either chooses a number divisible by 7 or 8, any color, and a vowel:

a) Numbers divisible by 7 or 8: There are 24 numbers divisible by 7 or 8 in the range of 1 to 100.

b) Any color: There are 7 possible colors.

c) Vowels in "INDIANA": There are 3 vowels.

Total favorable outcomes: 24 (divisible numbers) * 7 (possible colors) * 3 (vowels) = 504

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 3 (possible letters) = 2100

Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4. Either chooses a number divisible by 5 or 4, blue or green, and L or N:

a) Numbers divisible by 5 or 4: There are 45 numbers divisible by 5 or 4 in the range of 1 to 100.

b) Blue or green colors: There are 2 possible colors (blue or green).

c) L or N in "INDIANA": There are 2 letters (L or N).

Total favorable outcomes: 45 (divisible numbers) * 2 (possible colors) * 2 (letters) = 180

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 2 (possible letters) = 1400

Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

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Quadrilateral WXYZ with vertices W(0,-4), X(13,0), Y(9,-12), and Z(5,-12); scale factor: k = 3/4, center of dilation: (1,0)

Answers

Dilation involves changing the size of a quadrilateral or any shape

The coordinates of the image of the dilation are: \(W^{\prime}=(1 / 4,-3), X^{\prime}=(10,0)$, $Y^{\prime}=(7,-9)$\) and \($Z^{\prime}=(4,-9)$\)

This is further explained below

How to determine the vertices of the image?

The vertices of the pre-image are given as:

W=(0,-4)

X=(13,0)

Y=(9,-12)

Z=(5,-12)

The scale factor is given as:

k=3 / 4

The center of dilation is given as:

(a, b)=(1,0)

To calculate the vertices of the image, we make use of the following formula \($\left(x^{\prime} y^{\prime}\right)=(k(x-a)+a, k(y-b)+b)$\)

So, we have:

W'=(3 / 4(0-1)+1,3 / 4(-4-0)+0)

W'=(1 / 4,-3)

X'=(3 / 4(13-1)+1,3 / 4(0-0)+0)

X'=(10,0)

Y'=(3 / 4(9-1)+1,3 / 4(-12-0)+0)

Y'=(7,-9)

Z'=(3 / 4(5-1)+1,3 / 4(-12-0)+0)

Z'=(4,-9)

Hence, the coordinates of the image of the dilation are:

W'=(1 / 4,-3),

X'=(10,0),

Y'=(7,-9)

Z'=(4,-9)

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$1250 is invested at a rate of 5.7% that is compounded semiannually how much money is in the account after 3 years

Answers

Using the formula

\(A=p(1+\frac{r}{n})^{nt}\)

From the question,

P=$1250 r=0.057 t=3 n=2

Substitute the values into the formula and evaluate

\(A=1250(1+\frac{0.057}{2})^{2\times3}\)\(=1250(1+0.0285)^6\)\(=1250(1.0285)^6\)\(=\text{ \$1479.57}\)

The rise-over-run formula for the slope of a straight line is the basis of ______. Multiple choice question. the high-low method a scattergraph least squares regression

Answers

The rise-over-run formula for the slope of a straight line is the basis of The high - low method.

What Is the High-Low Method?

The high-low method is a way of attempting to separate out fixed and variable costs given a limited amount of data. The high-low method involves taking the highest level of activity and the lowest level of activity and comparing the total costs at each level.

For example, if you have two production periods where you generate 6,000 units and then 2,500 units, those are the highest and lowest activity, respectively.

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Simplify by comibining like terms for x + 10y - 4y + 4x

Answers

Answer:

5x + 6y

Hope it helps!

What solid figure is shown below?

What solid figure is shown below?

Answers

Answer:

rectangular prisim

Step-by-step explanation:

Answer:

rectangular prism

Step-by-step explanation:

rectangle shaped box

Please Help! 60 points for a rapid reply- please look at the question below= The Figure of circle A shown has a diameter of PR which intersects with QS at point B and the measurements shown, Calculate the following measures-

Please Help! 60 points for a rapid reply- please look at the question below= The Figure of circle A shown
Please Help! 60 points for a rapid reply- please look at the question below= The Figure of circle A shown

Answers

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

How to Find the Measures in the Circle?

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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Decide whether each point is a solution to the
system.
y≤3x+4 and y <3x-2

Decide whether each point is a solution to thesystem.y3x+4 and y &lt;3x-2

Answers

All the points are the solution of the given inequalities except y < 3x-2 at ( 3, 13).

What is inequality?

inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

We will check all the points for the given inequality as follows:-

Point            Y ≤ 3x - 2             y ≤ 3x + 4

( 0,-2)          -2 ≤ 3 ( 0) -2         -2 ≤  0+4

                   -2 ≤ -2                   -2 ≤ 4

                    Correct                 Correct

( 5, 0 )          0 ≤ ( 5 x3 ) -2        0 ≤ ( 5 x 3 ) + 4

                   0 ≤  13                    0 ≤ 19

                   Correct                  Correct      

( 3, 13 )        13 ≤ ( 3 x 3 ) -2      13 ≤ ( 3x3) + 4            

                   13 ≤ 7                    13 ≤ 13  

                   Incorrect               Correct          

As we can see the given points satisfy all the given inequalities but points ( 3, 13 ) are not satisfying the inequality y ≤ 3x - 2 it is giving 13 ≤  7 here 13 is not less than 7.

Therefore the points are the solution of the given inequalities except for y < 3x-2 at ( 3, 13).

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Decide whether each point is a solution to thesystem.y3x+4 and y &lt;3x-2

What is the volume of 4 19 31 10 62

Answers

Answer: 1460720

To find volume just multiply them all-

4*19*31*10*62

1460720 ( i am not sure if those are the numbers you meant)


Draw the line of reflection that reflects quadrilateral ABCD onto
quadrilateral A'B'C'D'.

Answers

Note that the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D' is given as attached. Note that when a shape is reflected, it must be reflected over a line. In this case, the line of reflection is y = -3.

What is a line of reflection?

A line of reflection is a line that acts as a mirror, reflecting a figure across the line so that the image is a mirror image of the original.

When a shape is reflected, it must be reflected over a line. The line of reflection of quadrilateral ABCD onto quadrilateral A'B'C'D is

From the given graph, we have the following observations

ABCD was flipped over to form A'B'C'D'

The line of reflection is between both shapes.

Using points C and C' as references;

We have:

C = (-3, -1)

C" = (-3, -5)

Notice that both points have the same x-coordinate

This means that the line of reflection is parallel to the x-axis and passes through the y-axis.

The point at which it passes through the y-axis is calculated using the mid-point formula.

Therefore, we have:


y = (y1+y2)/2

y = (-1-5)/2

y = -6/2

y = -3

Hence, the line of reflection is y = -3
See the attachment for the line of reflection.

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Draw the line of reflection that reflects quadrilateral ABCD ontoquadrilateral A'B'C'D'.

Answer:

Step-by-step explanation:

Draw the line of reflection that reflects quadrilateral ABCD ontoquadrilateral A'B'C'D'.

If QRS is dilated by a scale factor of 6 through the origin, which of the following points represent the coordinates of R'?
A.
(-12,-24)
B.
(12,24)
C.
(-24,-12)
D.
(24,12)

 If QRS is dilated by a scale factor of 6 through the origin, which of the following points represent

Answers

Answer:

C

Step-by-step explanation:

The dilated point R' of the given point will be (-12,-24). The correct option is A.

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-

The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.

( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )

( -2 , -4 ) ⇒ Dilated ( -12, -24 )

Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.

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c. juan razona “si triplico mi peso y subo a una balanza con mi hermano que pesa 7 kg esta marcaria 127 kg” ¿Cuál es el peso de juan? Juan razona: "Si triplicó mi peso y
d. Si cuadriplicamos el peso que hay en una balanza y luego agregamos 4 kg obtenemos 12 kg ¿Cuántos kilos hay en la balanza?
e. 3X-4< X+ 2

f.. Cuántas manzanas hay en una canasta, si se sabe que el triple de las manzanas, más 9 es mayor que 90; y el doble de manzanas, menos 18, es menor que 40
c. juan razona “si triplico mi peso y subo a una balanza con mi hermano que pesa 7 kg esta marcaria 127 kg” ¿Cuál es el peso de juan? Juan razona: "Si triplicó mi peso y
d. Si cuadriplicamos el peso que hay en una balanza y luego agregamos 4 kg obtenemos 12 kg ¿Cuántos kilos hay en la balanza?
e. 3X-4< X+ 2

f.. Cuántas manzanas hay en una canasta, si se sabe que el triple de las manzanas, más 9 es mayor que 90; y el doble de manzanas, menos 18, es menor que 40

Answers

Answer:

Umm let me see

Step-by-step explanation:

7/8 divided by (-13/7)

Answers

7/8/-13/7 = -0.4711 that’s the answer

The sum of 5 consecutive even numbers is 100 ples help :/

Answers

Consecutive even numbers are numbers that go in order, such as 1,2,3,4,5.

There are 5 even numbers.

They would be x, x+2, x+4, x+6, and x+8 (you add 2 each time so they are even).

Now when adding all these numbers, you get 100.

So there's your equation.

x+x+2+x+4+x+6+x+8=100

Add like terms.

5x+20=100

Solve for x.

5x=80

x=16

So the first number is 16.

The second is 18.

Third is 20.

Fourth, 22.

And fifth, 24.

You can add them to see if you are correct.

16+18+20+22+24=100

The numbers are 16,18,20,22, and 24.

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50

Answers

Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93

Step-by-step explanation:

E(x)= 10

It is a continuous random variable, so calculating for ✓, we have

10=E(x)1/✓

✓=1/10=0.1

1)P(x>60)=1-F(60)=e^0.1x60=0.0025

2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63

3) for 0.1, x= -1/0.1 ln0.1= 23

4) for 0.9, x= -1/0.1 ln 0.9= 1.053

5) for 0.5, x -1/0.1 ln 0.5= 6.3

Help please!!

If y varies directly with x, and x = 7 when y= 28, find y when x = 13.

1. y= 4
2. y=17
3. y= 42
4. y = 52

Answers

28/7 = 4y
4y 13 times = 52
4

Identify all values of x that make the equation true:
?
+3

Answers

Answer:

where is the equation??

Write and equations of the horizontal and vertical lines that pass though the given point.
(-3,2)
(1,4)

Answers

Answer:

Step-by-step explanation:

(-3, 2)

Horizontal is y = 2

Vertical is x = -3

In the same way (1, 4) is

y = 4

x = 1.

In circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP = 6 and PQ = 8 then which of the following is the length of MN ?
(1) 7
(2) 42
(3) 4 square root 3
(4) 2 square root 21

Answers

Answer:

42

Step-by-step explanation:

Sort the following asymptotic growth rates in an increasing order: ( 3 2 ) , 3 , 4 , !, log , (log

Answers

The increasing order of asymptotic growth rates would be, ! < log < (log < 3 < ( 3 2 ) < 4.

To arrange the given asymptotic growth rates in an increasing order, we have to compare the relative rates with each other. In this case, ( 3 2 ) is polynomial growth rate with a smaller exponent. 3 is linear growth rate. 4 is linear growth rate with higher constant factor. ! is constant growth rate. log is logarithmic growth rate. (log is logarithmic growth rate with a higher base.

So, according to the previous paragraph and by comparing all the relative rates with each other, we can see that '!' has the lowest order and '4' has the highest order and the rest lies in between these two. So, the final increasing order would be !, log, (log, 3, ( 3 2 ), 4.

Therefore, ! < log < (log < 3 < ( 3 2 ) < 4 is the increasing order of asymptotic growth rates.

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Select the correct answer.
Which of the following quantities are discrete?
1. the number of students who passed the English test
11.
the speed of a car
III. the temperature throughout the day
IV. the number of pages in a book
OA. I and IV
OB. I, II, and III
OC. only IV
OD. II and III

Answers

The correct answer is (A) I and IV. The first and fourth quantities are discrete.

What is discrete quantity?

A discrete quantity has a limited range of possible values. For instance, the number of students in a classroom is a discrete quantity because the range of possible values is not continuous and can only be a positive integer.

It can only have certain values, not just any value, according to the definition of discrete. One discrete quantity is the number of sheep in a field.

Consider, the first statement

"The number of students who passed the English test".

In this quantity a certain value is considered.

Hence this quantity is discrete.

In second and third statement there is no certain quantity is considered.

Hence, these quantities are not discrete quantities.

Also in the last statement there is come quantity of pages is considered.

Hence, this quantity is discrete quantity.

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what is the sum of the least and greatest amount of juice1 4/6 is the least 3 is the greatest show your work

Answers

Answer:

Min = 1 4/6

Max = 3

Sum = min + max

=> sum = 1 4/6 + 3

=> sum = 4 /4/6

Answer:

4 4/6

Step-by-step explanation:

Find the surface area (Leave your answer in terms of π) of a sphere with a radius of 12. Use 4πr² to solve.

76π

576π

48π

580π

Answers

The answer is 576π. Break down the formula: 4πr²=4*π*r(12)². 12² or 12*12 is 144. You still have 4 and π. So multiply 144 by the 4 to get 576 and finally multiply that by pi to get you the final answer of 576π.

Answer:

576π

Step-by-step explanation:

Surface Area of a Sphere

4πr²

Given

r = 12

Solving

S.A. = 4 x π x (12)²S.A. = 4 x 144 x πS.A. = 576π

Describe the sampling distribution of p. Assume the size of the population is 30,000. n=900, p=0.532 Describe the shape of the sampling distribution of p. Choose the correct answer below. OA The shape

Answers

The normal approximation to the binomial distribution also implies that the sampling distribution of p is roughly bell-shaped, as the normal distribution is. Therefore, the answer is A) The shape.

The sampling distribution of the proportion is the distribution of all possible values of the sample proportion that can be calculated from all possible samples of a certain size taken from a particular population in statistical theory. The state of the examining dispersion of p is generally chime molded, as it is an illustration of a binomial conveyance with enormous n and moderate p.

The example size (n=900) is sufficiently enormous to legitimize utilizing an ordinary guess to the binomial dissemination, as indicated by as far as possible hypothesis. In order for the binomial distribution to be roughly normal, a sample size of at least 30 must be present, which is achieved.

Subsequently, the examining dispersion of p can be thought to be around ordinary with a mean of 0.532 and a standard deviation of roughly 0.0185 (involving the equation for the standard deviation of a binomial distribution).The typical estimate to the binomial dissemination likewise infers that the inspecting conveyance of p is generally chime molded, as the ordinary circulation is. As a result, A) The shape is the response.

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