Ap Exam A Small Class Of Five Statistics Students Received The Following Scores On Their Ap Exam: 5, (2024)

Ara sells 1/2 of her apples in the morning, so she sells 35.5 / 2 = 17.75 pounds of apples.

She sells 4/19 of the remaining apples in the afternoon, so she sells 17.75 * 4/19 = 2.7 pounds of apples.

She sells 1/4 of the remaining apples in the evening, so she sells (35.5 - 17.75 - 2.7) / 4 = 4.5 pounds of apples.

Ara has 35.5 - 17.75 - 2.7 - 4.5 = 10.5 pounds of apples left

Ten to fifty is the range of the scores. The most frequent result is a 10 with a right-skewing bias.

Probability histogram

The height of each bar must be equal to the probability, the width of each bar must be the same, and the bars must be centered on the amount of money gathered.

The distribution is skewed to the right because the highest bar in the histogram is to the left and there is a tail of lower bars to its right.

The most frequent score is 10 due to the fact that the top bar in the histogram is centered at 10.

The result is:

Ten to fifty is the range of the scores.

The most frequent result is a 10 with a right-skewing bias.

Ten to fifty is the range of the scores.

Know more about Probability histogram

https://brainly.com/question/1741571

#SPJ4

The matrices matrix A be a 5 by 7 , matrix B be a 7 by 6 and matrix C be a 6 by 5 matrix.

now, we need to determine the size of the matrices

AB = [tex](AB)_{5*6}[/tex]

BA is undefined

[tex]A^{T}[/tex]B is undefined

BC = [tex](BC)_{7*5}[/tex]

ABC = [tex](ABC)_{5*5}[/tex]

CA = [tex](CA)_{6*7}[/tex]

[tex]B^{T}[/tex]A is undefined.

B[tex]C^{T}[/tex] is undefined.

given that

matrix A is [tex]A_{5*7}[/tex]

matrix B is [tex]B_{7*6}[/tex]

matrix C is [tex]C_{6*5}[/tex]

now, we need to determine the size of the matrices

AB multiplication of two matrices

multiplication of two matrices is possible only when B has the same number of columns as rows in A,

[tex]A_{m*n}[/tex]and [tex]B_{n*p}[/tex]

If it is defined as above, then the matrix AB will have m rows and p columns, i.e., A must have n columns and B must have n rows in order for AB to be defined.

[tex](AB)_{m*n}[/tex]

In addition, a matrix gets transposed when columns turn into rows and vice versa.

Thus, if

[tex]A_{m*n}[/tex]⇒[tex](AT)_{m*n}[/tex]

So, for this particular question, we have: [tex]A_{5*7}[/tex], [tex]B_{7*6}[/tex] , [tex]C_{6*5}[/tex]

According to the aforementioned idea, AB is therefore [tex](AB)_{5*6}[/tex] in size.

Additionally, BA and [tex]A^{T}[/tex]B are not defined.

[tex](BC)_{7*5}[/tex]

ABC=(AB)C=A(BC) because matrix multiplication is associative,

[tex](ABC)_{5*5}[/tex]

[tex](CA)_{6*7}[/tex]

[tex]B^{T}[/tex]A is undefined. because they don't have same number of columns in matrix B and rows in matrix A

B[tex]C^{T}[/tex] is undefined. because they don't have same number of columns in matrix B and rows in matrix C

To learn more about matrices:

https://brainly.com/question/13595132

#SPJ4

well, as I see it Person1 is faster than Person2, but Person2 doesn't factor in the issue here, let's nevermind Person2.

most of the procedures are 45mins each, namely on average they're 45 mins each.

so Person1 say did 9 procedures, but two of those guys took much longer, too 2 hours each, so two procedures alone ate 4 hours.

Now, Person1 besides doing those two really long procedures, has to also finish the other seven, 2 + 7 = 9, so there are 7 more procedures that on average take 45 mins each.

[tex]\stackrel{\textit{\LARGE minutes}}{\stackrel{\textit{two really long ones}}{240}~~ + ~~\stackrel{\textit{the rest of them}}{45(7)}}\implies 555\implies \stackrel{\textit{9 hours and 15 minutes}}{9.25~hours}[/tex]

The slope through the line of (4, 7) and (6, 2) can be found by using the slope formula:

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

where (x1, y1) and (x2, y2) are the coordinates of the two points on the line.

Substituting the values for (4, 7) and (6, 2) into the formula:

m = (2 - 7) / (6 - 4)

m = -5 / 2

m = -2.5

So, the slope of the line through (4, 7) and (6, 2) is -2.5.

Hello:

--> find the slope between the points (4, 7) and (6, 2)

Let's consider our point given:

--> (x1, y1): (4, 7)

--> (x2, y2): (6, 2)

Let's consider what formula we need:

[tex]\text{Slope}=\dfrac{y2-y1}{x2-x1}=\dfrac{2-7}{6-4}=\dfrac{-5}{2}=-\dfrac{5}{2}[/tex]

Thus our slope is -5/2

Answer: -5/2

Answer:

$963.00

Step-by-step explanation:

.9(3x150) + .95(2x200) + 250

.9(450) + .95(400) + 250

405 + 308 + 250 = 963

If we are taking 10% off, that is like leaving 90% (.9) on.

If we are taking 5% off, that is like leaving 95% ( .95) on.

No discount for the watch because she only bought one.

The solution of the system of equations is:

(-3/2, 1/2)

What is the solution of the system of equations?

Here we have two lines of the form:

y = a*x + b

one passes through (0, 0) and (1, -3)

For the first point we know that the constant is 0, and replacing the values of the second point we get:

1 = a*-3

1/-3 = a

The line is:

y = (-1/3)*x

The second line passes through (0, 2) and (-1, 1) from the first point we can see that:

y = a*x + 2

And replacing the values of the second point we get:

1 = a*-1 + 2

1 - 2 = -a

-1 = - a

1 = a

This line is y = x + 2

Then the system of equations is:

y = x + 2

y = (-1/3)*x

We can replace use the substitution method to write:

x + 2 = (-1/3)*x

x + 1/3*x = -2

(4/3)*x = -2

x = -2*(3/4)

x = -3/2

And the y-value is:

y = -3/2 + 2

y = 1/2

The solution is (-3/2, 1/2)

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

The principal amount that Jenna put in the bank is $625.

What is simple interest?

Borrowers must pay lenders simple interest as a fee in exchange for a loan. Compound interest is excluded from the calculation and just the original principal is used. Simple interest applies to all loans, not just specific ones. Additionally, it refers to the kind of interest that banks give their customers on their savings accounts.

Given interest earned = $125

time = 4 years

rate = 5%

let the principal be p

this is the case of simple interest,

SI = (p*r*t)/100

substitute the values

125 (p* 5 * 4)/100

125 x 100 = p x 20

p = 12500/20

p = $625

Hence principal amount is $625.

learn more about simple interests;

https://brainly.com/question/25845758

#SPJ1

y-1/7x-2 & x-7y=4 are intersecting but not parallel or perpendicular lines.

Two lines are parallel if they have the same slope (or no slope at all), and two lines are perpendicular if the product of their slopes is -1. To determine if lines are parallel or perpendicular, you can find their slopes and check if they are equal or if the product of their slopes is -1.

The first line y-1/7x-2 can be rewritten in slope-intercept form y = mx + b as y = 1/7x + 2

The second line x-7y=4 can be rewritten in slope-intercept form y = mx + b as y = x/7 - 4/7

The slopes of the two lines are 1/7 and -1/7 respectively. The product of the slopes of two lines is 1/49 which is not -1, that means that the two lines are not perpendicular. Also, the slopes are not equal, which means that the lines are not parallel.

Therefore, the two lines y-1/7x-2 & x-7y=4 are intersecting but not parallel or perpendicular lines.

Answer:

The x intercept is -3

Step-by-step explanation:

To find the x intercept, let y = 0 and solve for x.

-5x-2y=15

-5x-2*0=15

-5x=15

Divide each side by -5

-5x/-5 = 15/-5

x = -3

The x intercept is -3

The two ratios are inverse of each other that's why 96:38 is not the same as 38:96.

What are inverse ratios?

When two quantities are inversely related, that is, when an increase in one quantity causes a decrease in the other and vice versa, they are said to be in inverse proportion. The product of the given two quantities is equal to a constant value in inverse proportion.

Given that the two ratios are 96:38 and 38:96. The value of the two ratios will not be the same because both the ratios are inverse of each other or are reciprocals of each other.

To know more about inverse ratios follow

https://brainly.com/question/18676292

#SPJ1

Answer:

The two ratios are inverse of each other that's why 96:38 is not the same as 38:96.

Step-by-step explanation:

I took the quiz.

:

The the area of the real patio is = 50 m²

How to find the area?

Recall that area deals with the floor space occupied by the rectangular field

The area of the lawn is represented by

Area = L*W

2 cm for length = 5 m.

4 cm for width = 10 m.

Area = width • length. 10•5=50cm²

Having computed the area, we now conclude that the the area of the real patio 50cm²

Learn more about area of a rectangular lawn on https://brainly.com/question/20693059

#SPJ1

Answer:

a) e^x (3 - e^x)^4 dx

Using the formula [ f'(x)[f(x)"]dx =[ [f(x)]^n+1 / n+1] + c, where n = 1,

we have:

e^x (3 - e^x)^4 dx = (e^x)^5 (3 - e^x)^4 / 5 + c

= (e^5x - 4e^4x + 6e^3x - 4e^2x + e^x) / 5 + c

b) 3e^2x √(1 + e²x) dx

Using the formula [ f'(x)[f(x)"]dx =[ [f(x)]^n+1 / n+1] + c, where n = 1,

we have:

3e^2x √(1 + e²x) dx = (3e^2x)^2 * (1 + e²x)^(3/2) / 2 + c

= (9e^4x + 3e^2x) / 2 + c

c) 3e^-2x / (1 + e^-2x)^3 dx

Using the formula [ f'(x)[f(x)"]dx =[ [f(x)]^n+1 / n+1] + c, where n = 1,

we have:

3e^-2x / (1 + e^-2x)^3 dx = -(3e^-2x)^2 / (1 + e^-2x)^2 + c

= -(9e^-4x) / (e^-4x + 2e^-2x + 1) + c

d) 4 cos 2x sin³ 2x dx

Using the formula [ f'(x)[f(x)"]dx =[ [f(x)]^n+1 / n+1] + c, where n = 1,

we have:

4 cos 2x sin³ 2x dx = -4 cos 2x (sin 2x)^4 / 4 + c

= -(cos 2x) (1 - cos 4x)^2 / 2 + c

e) sec² 3x tan³ 3x dx

Using the formula [ f'(x)[f(x)"]dx =[ [f(x)]^n+1 / n+1] + c, where n = 1,

we have:

sec² 3x tan³ 3x dx = -sec² 3x (tan 3x)^4 / 4 + c

= -sec² 3x (sec² 3x - 1)^2 / 4 + c

f) 2+tan ² x / cos² x dx

Using the formula [ f'(x)[f(x)"]dx =[ [f(x)]^n+1 / n+1] + c, where n = 1,

we have:

2+tan ² x / cos² x dx = ln|sec x| + c

It's worth noting that all these integrals are indefinite, which means that the constant c is arbitrary, and the actual antiderivative depends on the problem context.

Step-by-step explanation:

if there are 5 people and 2 have to sit next to each other and 2 others cant sit next to each other, then 30 combinations possible

What are combinations?

A combination is a calculation that determines the number of possible arrangements in a collection of items in which the order of the selection does not matter. In combinations we can select the items in any order.

nn!/r!(n-r)!

Number of ways=5

=5!/2!2!

=5!/2*2

=5*4*3*2/2*2

=30

=30 ways

if there are 5 people and 2 have to sit next to each other and 2 others cant sit next to each other, then 30 combinations possible

Learn more about combinations at

brainly.com/question/11732255

#SPJ4

Answer:

226.1 [tex]in^{2}[/tex]

Step-by-step explanation:

Answer:

C. Angle Bisector Theorem

x = 5

PO = 34

Step-by-step explanation:

The theorem used is C: Angle bisector theorem

A can be eliminated because there is no midsegment here

B can also be eliminated - no perpendicular bisector

D relates to a median and there is no median here

C is the best choice. You can see in the figure that EO bisects ∠NEP.

Because of this angles ∠NEO and ∠OEP are equal

That makes the triangles congruent since we have one common side and two angles that are equal to each other

Therefore PO = NO

8x - 6 = 6x + 4

8x - 6x = 4 + 6

2x = 10

x = 5

PO = 8(5) - 6 = 40 - 6 = 34

The baker made a batch of chocolate chips, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 0.25, the likelihood of randomly selecting a chocolate chip is B. Likely.

What is probability?

Generally, Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

A probability of 0.5, for example, would indicate that an event has a 50% chance of occurring. Probability can be used to make predictions and inform decision-making in a wide range of fields, including statistics, finance, and engineering.

A probability of 0.25 represents a 25% chance of a randomly selected cookie from the batch being a chocolate chip cookie, which is considered "likely" to occur.

Read more about probability

https://brainly.com/question/30034780

#SPJ1

The surface area of the smaller cubical package is given S = 150 inches²

What is the surface area of cube?

The formula for surface area of a cube is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.

Surface area S = 6a² ,

where a is the side of the cube

Given data ,

Let the surface area of the smaller cube be represented as S

Now , the surface area of the larger cube L = 384 inches²

And , side length of smaller cube = side length of larger cube - 3

Now , the equation will be

Surface area of the larger cube L = 6 ( A )² ,

where A is the side length of the larger cube

So , substituting the values in the equation , we get

6 ( A )² = 384

Divide by 6 on both sides of the equation , we get

A² = 64

Taking square roots on both sides of the equation , we get

A = 8 inches

Now , side length of smaller cube a = 8 - 3 = 5 inches

So , surface area of the smaller cube S = 6 ( a )²

Substituting the values in the equation , we get

Surface area of the smaller cube S = 6 ( 5 )²

Surface area of the smaller cube S = 6 x 25

Surface area of the smaller cube S = 150 inches²

Hence , the surface area is 150 inches²

To learn more about surface area of cube click :

https://brainly.com/question/12079637

#SPJ1

The number of cut & styles that Moshde can do is 47.

How many cut and styles can she do?

The total amount that Moshde can save is the difference between the total revenue and the total cost.

Amount that can be saved = total revenue - total cost

$1246 = (charge per haircut x number of hair cuts) - $1010

$1246 = ($49 x h) - $1010

$1246 = $49h - $1010

In order to determine the value of h, take the following steps:

Combine and add similar terms:

$1246 + $1010 = 49h

2256 = 49h

Divide both sides of the equation by 49

h = 2256 / 49

h = 46.04

h = 47

To learn more about division, please check: https://brainly.com/question/194007

#SPJ1

Expression represents the probability of the given number of attempts and the success rate is given by option E. B( 60 , 45 , 30 ).

As given in the question,

In the given situation,

Let us consider 'n' represents the number of trials attempt by the weightlifter.

'p' represents the probability of success in his number of trials.

And 'r' represents the number of success out of his total number of attempts.

Here n = 60

p = 45%

r = 30

Using binomial distribution method we can represents the expression of the probability for the given condition :

B( n , p , r )

Substitute the values we get,

= B( 60, 45, 30 )

Therefore, for the given total number of lifts , success rate the expression represents the probability is given by option E . B ( 60, 45 , 30 ).

Learn more about probability here

brainly.com/question/30034780

#SPJ4

The features of the given polynomial graph are;

A) Domain: (-∞, ∞)

Range: (-∞, 16)

B) The x-intercepts are; (-2√2, 0), (0, 0), (2√2, 0)

C) The y-intercept is; (0, 0)

D) The interval(s) for which the function is increasing is; (-∞, -2) and (0, 2)

E) The interval(s) for which the function is decreasing. is; (-2, 0) and (2, ∞)

F) The graph has no constant interval.

G) It is symmetrical about the y-axis

H) Even function

How to find the domain and range of a polynomial graph?

The domain of a function is defined as the set of all possible input values for which the function holds. The range of a function is defined as the set of all possible output values for all possible input values.

A) The x-values intervals we reckon will be positive and negative infinity as the graph extends till infinity. However, the maximum value of the y-values will be 16 while the minimum is negative infinity.

B) The x-intercepts are the points where the graph crosses the x-axis and they are; (-2√2, 0), (0, 0), (2√2, 0)

C) The y-intercepts are the points where the graph crosses the y-axis and it has the coordinate; (0, 0)

D) Looking at the given graph, it is increasing when the curve rises and in this case it is; (-∞, -2) and (0, 2)

E) Looking at the given graph, it is decreasing when the curve descends and in this case it is; (-2, 0) and (2, ∞)

F) The graph has no constant interval.

G) It is symmetrical about the y-axis

H) The function is an even function

Read more about Polynomial Domain and Range at; https://brainly.com/question/2264373

#SPJ1

The standard deviation of Y is $432.00 and this can be determined by using the formula of standard deviation and the given data.

Given :

A company sells concrete in batches of 5 cubic yards.

The probability distribution of X, the number of cubic yards sold in a single order for concrete from this company, is shown in the table below.

The expected value of the probability distribution of X is 19.25 and the standard deviation is 5.76.

There is a fixed cost to deliver the concrete. The profit Y, in dollars, for a particular order can be described by (Y = 75X - 100).

The formula to obtain the standard deviation is given below:

SD(Y) = SD(75X - 100)

Simplify the above expression by substituting the value of SD(X) and SD(100) in the above expression.

SD(Y) = 75SD(X) - SD(100)

SD(Y) = 75 SD(X) - 0

SD(Y) = 75×5.76

SD(Y) = $432

Therefore, the correct option is B.

To know more about standard deviation:

https://brainly.com/question/15200712

#SPJ4

to find the shaded area you have to subtract the unshaded small rectangles area from the larger rectangles total area

the larger rectangles area (L) is found by multiplying base by height:
(x+3) • 2x = 2x^2 + 6x

the smaller rectangles area (S) is also found by multiplying base by height:
x • 5 = 5x

then to find the unshaded area take the largest rectangle area and subtract the smaller rectangle (L-S):
2x^2 + 6x - 5x = 2x^2 + x

answer: 2x^2 + x

Answer:

The cost of the wings per dollar is 18/15 = 1.2 wings per dollar.

Answer:

1.2

Step-by-step explanation:

The value of base angle θ (in degree) of the trapezium ABCD which has the greatest perimeter, is 60°

Given, AD = 2I

From ΔABD,

cos∅=[tex]\frac{AB}{AD}[/tex]

⇒ AB = AD cos∅

⇒ AB = 2I cos∅

and x = ABcos∅ = 2I [tex]cos^{2}[/tex]∅

Now perimeter,

P = 2I+ 2I - 2x + 2AB

P = 4I - 4I [tex]cos^{2}[/tex]∅ + 4Icos∅

P = 4I (1 - cos²∅ + cos∅)

Differentiating with respect to ∅, we get

dP/d∅= 4I(2 cos∅ sin∅ - sin∅)

For max/min,

dP/d∅ = O

2 cos∅ sin∅ - sin∅ = 0

⇒ cos∅ = [tex]\frac{1}{2}[/tex] (∅ [tex]\neq[/tex] 0)

= 60°

[tex]d^{2}[/tex]P/d∅ = 4i(2 cos2∅ - cos∅)

[tex]d^{2}[/tex]P/d∅ < 0

∅ = 60°

Therefore, Perimeter is maximum when ∅ = 60°

To know more about Trapezium:

brainly.com/question/137259

#SPJ4

Answer:

60, 80, 100

Step-by-step explanation:

What you need to do in this case is find animver between 55 and 101 that has a first number as an even number and the second number as zero

Answer:

60,80,100

Step-by-step explanation:

I don't even know

Answer:

They have to be similar because careful inspection will show all of their angles (the two triangles) are equal.

One can start with the fact that the two triangles have a common angle.

CAll it x.

x * 40 + q = 180

x + 50 + r = 180

q and r must equal 50 and 40 to satisfy the sum of the interior angles must sum to 180.

The average four-digit number 7254 is the only one that is a multiple of another one, as it is composed of the digits 2, 4, 5 and 7 used exactly once.

To find the four-digit number that is a multiple of another one using the digits 2, 4, 5 and 7, we can list all the possible combinations of these digits:

2457, 2475, 2547, 2574, 2745, 2754, 4257, 4275, 4527, 4572, 4725, 4752, 5247, 5274, 5427, 5472, 5724, 5742, 7245, 7254, 7425, 7452, 7524, 7542. as it is composed of the digits 2, 4, 5 and 7 used exactly once.

Next, we can check to see which of these numbers is a multiple of another one. 7254 is the only one that is a multiple of another one, as it can be divided by 2, 4, 5 and 7. Therefore, the answer is 7254.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

Answer:

draw a line between an empty point at 0 and a filled point at 3

Step-by-step explanation:

To graph this inequality we first want to isolate the y variable to make it a bit easier to deal with. This is a compound inequality and when isolating the y variable instead of just doing an operation on both sides, we do it to all sides which follows the same principle of maintaining equality.

We start with the original inequality:
[tex]-4 \le -2(y-1) < 2[/tex]

From here we divide by -2 on all sides, but since we're dividing by a negative we would flip the way the inequality is pointing so we get:
[tex]2\ge y-1 > -1[/tex]

From here we add 1 to all sides.

[tex]3 \ge y > 0[/tex]

Although generally we would write this as:

[tex]0 < y \le 3[/tex]

Now to graph this we would draw a hole on the number line at the point zero, and a filled point on the number line at 3, since 3 is included (since less than or equal to 3) and then just connect the two points. I'll include an image that demonstrates this.

Answer:

Domain: (-∞, ∞)

Range: [2, ∞)

Input: (f) = 2

Output: f(1) = 3

Step-by-step explanation:

Domain

The domain is the set of all possible input values (x-values).

There are arrows at both endpoints of the graphed continuous line, indicating that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:

Domain: (-∞, ∞)

Range

The range is the set of all possible output values (y-values).

Assuming that each square is 1 unit, from inspection of the graph, the minimum y-value is y = 2.

The arrow at the endpoint in quadrant I indicates that the line continues horizontally at y = 2.

The arrow at the endpoint in quadrant II indicates that the line continues indefinitely towards y = ∞.

Therefore, the range of the relation is restricted:

Range: [2, ∞)

Input

To find the value of f(4), find x = 4 and trace up to the line then read the y-value at that point. Therefore:

f(4) = 2

Output

To find the x-value when y = 3, find y = 3 and trace horizontally to the line then read the x-value at that point. Therefore:

f(1) = 3