Sarah's investment in stock grew 16% to $522. How much did she invest

a. Mean and Median is 2.95 and 3 respectively

b. The  first and third quartiles5.25 and 15.75 respectively

c. Range and interquartile range is 7 and 4 respectively

d. Variance and Standard Deviation is 4.201 and 2.049 respectively

e. The skewness is not expected as it largely differs from the mean.

Rearranging the data.

0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6,7

Mean = ∑▒(x/N)

Mean = (6+1+ 5 +3+ 7+ 3 +0+ 3+ 1+ 3 +4 +1+ 2+ 4 +1+ 0 +5 +6 +3+ 1)/20

= 59/20

=2.95

Median = Sum of (10th and 11th number) /2

(3 +3)/ 2

=6/2

=3

Quartile = 0, 0, 1, 1, 1,     1, 1, 2, 3, 3,    3, 3, 3, 4, 4,    5, 5, 6, 6,7

Q1=Value of (((n+1))/4)

Q1=Value of ((1(20+1))/4)

Q1=Value of ((21))/4)

Q1= (5.25)

observation=Value of (5th)

observation= 1

Q3=Value of (((n+1))/4)

Q3=Value of ((3(20+1))/4)

Q3=Value of (((63))/4)

Q3= (15.75)

observation=Value of (16th)

observation = 5

Range = highest value - lowest value

= 7-0

= 7

Interquartile range = q3 – q1

=5 – 1

= 4

Variance =    Σ(Xi-¯X)2/N

x (x-xi) (x-xi)2

0 (0-2.95) -2.95

0 (0-2.95) -2.95

1 (1-2.95) -1.95

1 (1-2.95) -1.95

1 (1-2.95) -1.95

1 (1-2.95) -1.95

1 (1-2.95) -1.95

2 (2-2.95) 0.95

3 (3-2.95) 1.95

3 (3-2.95) 1.95

3 (3-2.95) 1.95

3 (3-2.95) 1.95

3 (3-2.95) 1.95

4 (4-2.95) 2.95

4 (4-2.95) 2.95

5 (5-2.95) 3.95

5 (5-2.95) 3.95

6 (6-2.95) 4.95

6 (6-2.95) 4.95

7 (7-2.95) 5.95

 Σ=(84.0125)

Variance = 84.0125/20

Variance = 4.201

Standard deviation = √variance

S.D = √4.201

S.D = 2.049

e. the skewness is not expected as it largely differs from the mean.

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Answer:

I'm just trying to make this as simple as possible for you.

The value of m is 5.

How?

We must follow a few simple methods to solve this problem.

Well, four to be precise.

All we need to do is add 4 to both sides of the equation, or \(-5m - 4 + 4=36+4\)

Then, we simply by adding the numbers together to get -5m = 36 + 4, or, 40.

Following that, we divide both sides of the equation by the same term, giving us the equation −

5 = 4

0 -5m=40

−5m=40 − 5 − 5 = 4 0 − 5 The -5's go under the numbers like a fraction.

Then, we cancel the terms that are in both the numerator and denominator.

−

5

−

5

=

4

0

−

5

=

4

0

−

5

Fractions same as last part.

Finally, we divide.

=

4

0

−

5

m={\color{#c92786}{\frac{40}{-5}}}

m=40​ - 5

= − 8

Please mark me brainliest if this had helped!

Sincerely, didntask

Answer:

Step-by-step explanation:

3.2

Answer:

3.2

Step-by-step explanation:

jdjdhdidndidnnidndindinidnndindnd

Answer:

circumference = 2 π r

perimeter = 41.1 ,

Step-by-step explanation:

Answer:

okie

Step-by-step explanation:

but the q is blurry very blurry send again

The given matrix A is:
A = [−20−4−20−4102]

We know that the matrix has one real eigenvalue of algebraic multiplicity 3.
To find this eigenvalue, we can use the formula:
det(A - λI) = 0
Where I is the identity matrix and det(A - λI) is the determinant of the matrix A - λI.
Substituting the given matrix A, we get:
det([−20−4−20−4102] - λ[1111])
= |−20-λ   -4     |
 |−2      -4-λ  |
= (-20-λ)(-4-λ) - (-2)(-20)
= λ^2 + 24λ + 80
To find the eigenvalue, we set det(A - λI) = 0 and solve for λ:
λ^2 + 24λ + 80 = 0
Using the quadratic formula, we get:
λ = (-24 ± sqrt(24^2 - 4(1)(80))) / (2(1))
λ = (-24 ± sqrt(256)) / 2
λ = -12 ± 8
Therefore, the eigenvalues of the given matrix are:
λ1 = -20
λ2 = -4
λ3 = -12
Since the matrix has one real eigenvalue of algebraic multiplicity 3, the eigenvalue we are looking for is:
λ3 = -12
Therefore, the answer is:
The eigenvalue of the given matrix A=[−20−4−20−4102] with algebraic multiplicity 3 is -12.

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The length of midpoint AM is 21 and AB is 42.

The midpoint is the point that divides a line or segment into two same or equal sections. When a line has length A and the midpoints should be :

A/2

From the question we know that :

M is the midpoint of AB

AM = 3x + 3

AB = 8x - 6

By applying the midpoint rule, we get

AM = 1/2 (AB)

3x + 3 = 1/2 (8x - 6)

3x + 3 = 4x - 3

4x - 3x = 3 + 3

x = 6

Substitute the x value to AM and AB

AM = 3x + 3

AM = 3(6) + 3

AM = 18 + 3 = 21

AB = 8x - 6

AB = 8(6) - 6

AB = 48 - 6 = 42

Hence, the length of midpoint AM is 21 and AB is 42.

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Answer:

Am=21

Step-by-step explanation:

Answer:

3.10

Step-by-step explanation:

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%.

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%. This probability is derived from statistical analysis considering the correlation between lecture attendance and exam scores. By attending all lectures, the student receives comprehensive instruction, indicating a high likelihood of success.

The calculated probability implies a 97.13% chance of achieving the desired score. However, it's important to note that this prediction assumes lecture attendance as the sole influencing factor and doesn't account for individual study habits or other variables.

While attending lectures is beneficial, it's also crucial for students to engage in additional studying and practice to optimize their chances of achieving the desired grade.

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Answer- 33

We are told that A=6, there for we can right out our equation fully.

(5 x 6)+3. Our multiplication sentence with go in parentheses ( ) so we know to do that part of our equation first.  5 times 6 is 30. After we multiply we add our outside number(s). 30 plus 3 is 33. Which means the solution to the equation is 33.

5a +3= 33 or (5x6) +3 = 33

Hope this helps! and GOOD LUCK.

Answer:

13 mph

Step-by-step explanation:

45.5/3.5 = 13

Answer:

13 mph

Step-by-step explanation:

divide 45.5 by 3.5 to get 13 mph

The ratio of purple flower to white flowers is 1:1 for each friend.

A system of arrangement where objects are set at the center position.

In another words the piece that kept in the center position.

As example, for the purpose of decorating a table with flowers, we need to keep the flowers in such a way that all the flowers occupy the center position.

If we want to display a table as centerpieces with white and purple flowers, we must keep the two flowers in the same ratio to look the display more attractive.

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Answer:

slope=1

y-intercept=10

linear equation is y =x+10

Step-by-step explanation: to find slope take 2 points (0,10) and (2,12) as (x1,y1) and (x2,y2) respectively. Using slope formula(y2-y1/x2-x1) we get (12-10)/(2-0) which simplifies to 2/2 which is 1. y-intercept is the point where x is 0, then y is a number called y-intercept. And in the table when x=0 ,y=10 therefore 10nis the y-intercept. As for the linear equation, y=mx+b it simply is y=slope×x +y-intercept, from the previous question we can say y=1x+10 ( in math its better if the coefficient of x is 1 we can just say x) which is y=x+10.

The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Answer: B and C

Step-by-step explanation:

Substituting the coordinates of each of the points into the first inequality,

A. \(5 > 2(0)+3 \longrightarrow 5 > 3\), so it satisfies the first inequality.

B. \(5 > 2(-5)+3 \longrightarrow 5 > -7\), so it satisfies the first inequality.

C. \(4 > 2(-1)+3 \longrightarrow 4 > 1\), so it satisfies the first inequality.

D. \(-5 > 2(0)+3 \longrightarrow -5 > 3\), so it does not satisfy the first inequality.

E. \(-3 > 2(-3)+3 \longrightarrow -3 > -3\), so it does not satisfy the first inequality.

Now, we can substitute the coordinates of options A, B, and C into the second inequality.

A. \(5+3(0) \leq 1 \longrightarrow 5 \leq 1\),  so it does not satisfy the second inequality.

B. \(5+3(-5) \leq 1 \longrightarrow -10 \leq 1\), so it satisfies the second inequality.

C. \(4+3(-1) \leq 1 \longrightarrow 1 \leq 1\), so it satisfies the second inequality.

So, the answers are B and C

Answer:

1oz =29.5735ml

Step-by-step explanation:

Multiply your fluid ounces number by 29.5735 to convert US fluid ounces to millilitres. Multiply your number by 28.4131 if you're using British Imperial fluid ounces as your unit of measurement. The British Imperial ounce is somewhat smaller than the US fluid ounce.

Even though one fluid ounce is slightly less than 29 millilitres, the numbers on nutrition labels are rounded up to 30. In the US, a fluid ounce is a unit of volume. Both fl oz and fluid ounces are acceptable abbreviations for fluid ounces.

The ratio of 1 fluid ounce to 29.57353193 millilitres is known as the ounce-to-millilitre conversion factor.

An ounce is a unit of weight that is equal to 480 grains, or 1/12 pound, in the troy and apothecaries' systems and 1/16 pound (437 1/2 grains) in the avoirdupois system.

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Answer:

$13.50

Step-by-step explanation:

(8*2) - (1.25*2) =

16 - 2.50 =

13.50

8.00-1.25=6.75 so I believe this the answer

The distance BC is given as follows:

BC = 12.5.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

For the right triangle in this problem, we have that:

Hence the length BC is obtained as follows:

x² + 4.3² = 13.2².

x = sqrt(13.2² - 4.3²)

x = 12.5.

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Answer:

Step-by-step explanation:

there are 4 sixes soo

\(6^{4}\)

Answer:

\( {6}^{4} \)

-have a nice day

Answer:

See below

Step-by-step explanation:

Period = 1 day      

Periodic interest = .045 / 365       (since there are 365 days in a year)

V(t) = 6000 *  ( 1 + .045/365)^t      where t is in days

V(t) = 6000 * (1+.045/365)^(t * 365)       where t is in years

Answer:

look at the screenshot that was down below

Answer:

It will take Richard 12 minutes to type 720 words.

Step-by-step explanation:

720 ÷ 60 = 12

The particular solution is: y_p = (-1/2)e^(2x). So the general solution to the differential equation is: y = C_1e^(2x) + C_2xe^(2x) - (1/2)e^(2x)

To find a particular solution of y'' - 4y' + 4y = e^(2x), we can use the method of undetermined coefficients. Since the right-hand side is e^(2x), we assume a particular solution of the form y_p = Ae^(2x), where A is a constant to be determined.

Taking the first and second derivatives of y_p, we get:

y'_p = 2Ae^(2x)
y''_p = 4Ae^(2x)

Substituting these expressions into the differential equation, we get:

4Ae^(2x) - 4(2Ae^(2x)) + 4(Ae^(2x)) = e^(2x)

Simplifying and solving for A, we get:

-2Ae^(2x) = e^(2x)

A = -1/2

Therefore, the particular solution is:

y_p = (-1/2)e^(2x)

So the general solution to the differential equation is:

y = C_1e^(2x) + C_2xe^(2x) - (1/2)e^(2x)

where C_1 and C_2 are constants determined by any initial or boundary conditions.

To find a particular solution of the given differential equation, y'' - 4y' + 4y = e^(2x), you can use the method of undetermined coefficients. First, identify the form of the particular solution, which in this case is y_p = Ae^(2x), where A is a constant to be determined. Differentiate y_p twice and plug the results into the given equation to find the value of A. Then, the particular solution will be y_p = Ae^(2x) with the determined value of A.

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Answer:

4 feet 10 in

Step-by-step explanation:

58/12= 4 10/12= 4 feet 10 in

Answer:

4ft 10in

Step-by-step explanation:

58/12 = 4 10/12

Answer:

Step-by-step explanation: the answer is 50000.

Answer:

h is 19.5

Step-by-step explanation:

8.5 is 11 less than h

8.5 = h - 11

Add 11 to both sides

19.5 = h

Answer:

32

Step-by-step explanation:

8x4=32

Answer:need more time to solve-

Step-by-step explanation: A= b x h

Answer:

To experimentally verify that the base angles of an isosceles triangle are equal, we will need two isosceles triangles of different sizes.

Materials needed:

Two sheets of paper

Ruler

Pencil

Protractor

Scissors

Experiment:

Draw a large isosceles triangle on one sheet of paper by drawing a straight line at least 20 cm long. Then draw two additional lines from each end of the first line to meet at the top, forming an isosceles triangle. Label the base as "AB" and the other two sides as "AC" and "BC."

Measure and mark the midpoint of the base "AB."

Using a ruler, draw a perpendicular bisector through the midpoint of the base. This line should create two congruent segments.

Measure each angle formed by the intersection of the perpendicular bisector and the two sides of the triangle. Use a protractor to measure these angles.

Repeat steps 1-4 with a smaller isosceles triangle on the second sheet of paper. The smaller triangle should have a base of at least 10 cm and two sides of equal length.

Compare the measurements of the angles of both triangles. If the triangles are truly isosceles, then the two angles opposite the base (ACB) should measure the same in both triangles.

Cut out both isosceles triangles along their outlines.

Fold each triangle along the perpendicular bisector line drawn in step 3 so that the two congruent segments come together.

If the angles opposite the base are indeed equal, then the two sides of each triangle should match up perfectly when folded along the perpendicular bisector. If they do not match up, then the triangles are not truly isosceles.

By repeating this experiment with different sized isosceles triangles, we can verify that the base angles of any isosceles triangle are always equal.

Answer:

-1

Step-by-step explanation:

To find the slope given two points use the formula

m = ( y2-y1)/(x2-x1)

   = ( 8-2)/(4-10)

    = 6/-6

   = -1

Answer:

-2x^2-5x-3

Step-by-step explanation:

(3x^2 – 3x+6) - (5x^2 + 2x + 9)

Distribute the minus sign

(3x^2 – 3x+6) - 5x^2 - 2x - 9

Combine like terms

3x^2 -5x^2 -3x-2x +6-9

-2x^2-5x-3