there are blank vaues in the data set which are greater than or equal to 10 and less than or equal to 19. there are blank vlaues in the data set which are greater than or equal to 30 and less than or equal to 39. there are blank values in the data set which are greater than or equal to 20 and less than or ewual to 29

The interquartile range of the data decreases when the eighth day's amount is included in the data is true.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Joanna set a goal to drink more water daily.

The number of ounces of water she drank each of the last seven days is

60, 58, 64, 64, 68, 50, 57

On the eighth day, she drinks 82 ounces of water.

Raw data:      [60,58,64,64,68,50,57,82],

Sorted data:  [50,57,58,60,64,64,68,82]

Sample size = 8 (even)

mean  = 62.875

median  = (60+64)/2 = 62

1st quartile   = (57+58)/2 = 57.5

3rd quartile  = (64+68)/2 =  66

IQR = 66 - 57.5 = 8.5

Data without the eight day's measurement.

Raw data:      [60,58,64,64,68,50,57]

Sorted data:  [50,57,58,60,64,64,68]

Sample size = 7 (odd)

mean            = 60.143

median         = 60

1st quartile   = 57

3rd quartile = 64

IQR = 64 -57 = 7

Hence, the interquartile range of the data decreases when the eighth day's amount is included in the data is true.

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Answer: It's just

The interquartile range of the data decreases when the eighth day's amount is included in the data.

Step-by-step explanation: The question asks you to select ALL correct answers, but there is only one correct answer.

The new percentage margin that Jaguar will realize, given the new exchange rate, is approximately 10.92%.

To calculate the new percentage margin for Jaguar given the new exchange rate of $2.15/E, we need to compare the cost of manufacturing the S-type sedan in pounds with the selling price in dollars.

The cost of manufacturing the S-type sedan in pounds is £22,803. The selling price in dollars is $55,000. We can convert the cost to dollars using the new exchange rate:

£22,803 * $2.15/E = $48,993.45

Now we can calculate the margin:

Margin = (Selling Price - Manufacturing Cost) / Selling Price * 100%

Margin = ($55,000 - $48,993.45) / $55,000 * 100%

Margin = $6,006.55 / $55,000 * 100%

Margin ≈ 10.92%

Therefore, the new percentage margin that Jaguar will realize, given the new exchange rate, is approximately 10.92%.

None of the provided answer choices match this value exactly.

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The Taylor polynomial P3(x) is 1 - 3x + 3\(x^{2}\) - (5/2)\(x^{3}\), and the Taylor polynomial P4(x) is 1 - 3x + 3\(x^{2}\) - (5/2)\(x^{3}\) + (15/8)\(x^{4}\).

To find the Taylor polynomials, we need to first find the derivatives of the function f(x) = \((1+x)^{-3}\). We have:

f(x) = \((1+x)^{-3}\)

f'(x) = -3\((1+x)^{-4}\)

f''(x) = 12\((1+x)^{-5}\)

f'''(x) = -60\((1+x)^{-6}\)

f''''(x) = 360\((1+x)^{-7}\)

Then, we can evaluate these derivatives at x=0 to get the coefficients of the Taylor polynomials:

f(0) = 1

f'(0) = -3

f''(0) = 12/2 = 6

f'''(0) = -60/6 = -10

f''''(0) = 360/24 = 15

Using these coefficients, we can write the Taylor polynomials as:

P3(x) = 1 - 3x + 3\(x^{2}\) - (5/2)\(x^{3}\)

P4(x) = 1 - 3x + 3\(x^{2}\) - (5/2)\(x^{3}\) + (15/8)\(x^{4}\)

So, the third degree Taylor polynomial is P3(x) = 1 - 3x + 3\(x^{2}\) - (5/2)\(x^{3}\), and the fourth degree Taylor polynomial is P4(x) = 1 - 3x + 3\(x^{2}\) - (5/2)\(x^{3}\) + (15/8)\(x^{4}\).

Correct Question :

Find the Taylor polynomials \(P_{3}\) and \(P_{4}\) centered at a=0 for f(x) = \((1+x)^{-3}\)

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From the diagram given

1. Inscribed angle of the circle

2. AC is a tangent to the circle

3. HI is a chord of the circle

4. L is the center of the circle

5. GEH is a major arc

6. HL is the radius of the circle

7. central angle

8. central angle

9. BD is a secant

10. GHI is a semi-circle

Therefore , the solution of the given problem of angles comes out to be  the slide is roughly 23.93 feet long.

The junction of the lines joining the ends of a skew determines the size of its greatest and smallest walls. A junction is where two paths may converge. Angle is another outcome of two things interacting. They resemble, if anything, dihedral forms. A two-dimensional curve can be created by placing two line beams in various configurations between their extremities.

Here,

Call the slide's length "x" for now. Trigonometry can then be used to determine the length of the slide.

The ratio of the opposing side's length to the adjacent side's length is known as the tangent of an angle in a right triangle.

Since we already know the slide's angle and the length of the side next to it (18 feet), we can use the tangent function to get the slide's actual length:

=> tan(47°) = x/18

We can multiply both sides by 18 to find the solution for x:

=> x = 18 tan(47°)

Calculating the answer, we discover:

=> x ≈ 23.93

Consequently, the slide is roughly 23.93 feet long.

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The correct ordered pair representing the location of the reflected point when point M is reflected across the x-axis is (-5.5, -2).

To determine the location of the reflected point when point M is reflected across the x-axis, we need to understand the concept of reflection and its effect on the coordinates.

Reflection across the x-axis involves changing the sign of the y-coordinate while keeping the x-coordinate unchanged. In other words, if a point (x, y) is reflected across the x-axis, its reflected point will have the coordinates (x, -y).

Given the options for the reflected point's coordinates: (5.5, -2), (-5.5, -2), (-5.5, 2), and (5.5, 2), we can determine the correct answer by applying the reflection rule.

Let's examine each option:

(5.5, -2): If point M is reflected across the x-axis, the y-coordinate should change its sign. Therefore, the correct reflected point would be (5.5, 2) rather than (5.5, -2). This option is incorrect.

(-5.5, -2): If point M is reflected across the x-axis, the y-coordinate should change its sign. Therefore, the correct reflected point would be (-5.5, 2) rather than (-5.5, -2). This option is incorrect.

(-5.5, 2): If point M is reflected across the x-axis, the y-coordinate should change its sign. This option satisfies the reflection rule, and the reflected point would be (-5.5, -2). This option is correct.

(5.5, 2): If point M is reflected across the x-axis, the y-coordinate should change its sign. Therefore, the correct reflected point would be (5.5, -2) rather than (5.5, 2). This option is incorrect.

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Answer:

35, 36, 37

Step-by-step explanation:

let the 3 consecutive numbers be n , n + 1 and n + 2 , then

n + n + 1 + n + 2 = 108

3n + 3 = 108 ( subtract 3 from both sides )

3n = 105 ( divide both sides by 3 )

n = 35

and

n + 1 = 35 + 1 = 36

n + 2 = 35 + 2 = 37

the 3 numbers are 35, 36, 37

Answer:

125 miles

Step-by-step explanation:

Speed travelled every hour = 50 miles

Time travelled for - 2 1/2 hours = 2.5 hours

Distance = Speed * Time

50*2.5 = 125 miles

Hope this helps!

Solution:

Note that:

Using the equation (50 miles = 1 hour) to solve for 2 1/2 hours:

The Laplace transform of the function g(t) = 5e^(3t)cos(2t) is (s - 3) / [(s - 3)^2 + 4]. This can be obtained by applying the Laplace transform properties and using the table values for the Laplace transform of exponential and cosine functions.



To find the Laplace transform of g(t), we can break it down into two parts: 5e^(3t) and cos(2t). Using the Laplace transform table, the transform of e^(at) is 1 / (s - a) and the transform of cos(bt) is s / (s^2 + b^2).

Applying these transforms and the linearity property of Laplace transforms, we obtain:

L{g(t)} = L{5e^(3t)cos(2t)}

        = 5 * L{e^(3t)} * L{cos(2t)}

        = 5 * [1 / (s - 3)] * [s / (s^2 + 2^2)]

        = 5s / [(s - 3)(s^2 + 4)]

        = (5s) / [s^3 - 3s^2 + 4s - 12 + 4s]

        = (5s) / [s^3 - 3s^2 + 8s - 12]

Simplifying further, we obtain the final expression:

L{g(t)} = (s - 3) / [(s - 3)^2 + 4]

Therefore, the Laplace transform of g(t) is given by (s - 3) / [(s - 3)^2 + 4].

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Answer: A = 117 units^2

Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.

A = (w)(l)                                                                                                                   A = (9)(13)                                                                                                               A = 117 units^2

The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

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False. The complement of an event A, denoted by A', is the event consisting of all outcomes in the sample space S that are not in A.

In probability theory, a sample space S represents the set of all possible outcomes of an experiment or random phenomenon. An event A is a subset of the sample space S, representing a specific outcome or a combination of outcomes of interest.

The complement of event A, denoted by A', includes all the outcomes in the sample space S that are not part of event A. In other words, A' consists of all outcomes that do not satisfy the conditions for event A to occur.

For example, let's consider rolling a fair six-sided die. The sample space S consists of the numbers {1, 2, 3, 4, 5, 6}. Now, let event A be the event of rolling an odd number. In this case, A = {1, 3, 5}, and the complement of A, denoted by A', would be A' = {2, 4, 6}. A' includes all the outcomes that are not odd numbers.

It's important to note that the complement of an event A and the event itself together cover the entire sample space S. In other words, A and A' are mutually exclusive and exhaustive, meaning that any outcome must either be in A or in A'.

So, in summary, the complement of an event A is the set of all outcomes in the sample space S that do not belong to A.

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Hi friend!  Apologies, this says "Unit 6 Test".  We can't help you on this one.  Good luck though!

Answer:

$3990

Step-by-step explanation:

So first,you need to add the dollars that Sarah spend and which is equal to $1330($360+$970) and you need to subtract the money that Sarah spend($1330) and the budget of her money ($5320) so which is $5,320-$1,330 so the answer is $3,990

Answer:

a= 77, b= 77, c= 103.

Step-by-step explanation:

a= 77 (vertically opposite)

b= a= 77 (corresponding angles)

c= 180-77

 = 103 (angles on a straight line)

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

Step-by-step explanation:

If you're solving for m:

3.18 + 2m = 12.7

-3.18            -3.18

Therefore making the new equation: 2m = 9.52

Divide- \(\frac{2m}{2\\} =\frac{9.52}{2}\)

m = 4.76

Answer:

a) 70 m

b) 35 m

c) 57 m

d) 500 m

e) 7.5 m

f) 57 m

Step-by-step explanation:

10 dm = 100 cm = 1 m.

1 dam = 10 m

1 km = 1000 m

100 cm = m

Correct ☑ ✔ Question :-

Transform in metre

a) 7 dam

b) 350 dm

c) 57000 mm

d) 0.5 km

e) 750 cm

f) 5.7 dam

a) 7 dam

1 dam = 10 m

so, 7 dam = 7 × 10 m = 70 m

b) 350 dm

10 dm = 1 m

so, 350 dm = 350/10 = 35 m

c) 57000 mm

1000 mm = 1 m

so, 57000mm = 57000/1000 = 57 m

d) 0.5 km

1 km = 1000 m

0.5 km = 1000 × 0.5 = 500 m

e) 750 cm

100 cm = 1 m

750 cm = 750/ 100 = 7.5 m

f) 5.7 dam

1 dam = 10 .

5.7 dam = 5.7 × 10 = 57 m

Answer:

10

Step-by-step explanation:

70 / 70 = 1

700 / 70 = 10

The rate is 70.

Answer: 10 weeks

Step-by-step explanation:

3  weeks ould be 70 *3

so for 700  books it would be 700/70 and you would get 10

Answer:

It's of science not of mathematics

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{10 \: N}}}}}\)

Step-by-step explanation:

Given,

Load distance ( LD ) = 2m

Load ( L ) = 800 N

Effort distance ( ED ) = 160 m

Effort ( E ) = ?

Finding the Effort applied

Apply the principal of simple machine :

\( \boxed{ \sf{L \times LD = E\times ED}}\)

\( \longrightarrow{ \sf{800 \times 2 = E \times 160}}\)

\( \longrightarrow{ \sf{1600 = 160 \: E}}\)

\( \longrightarrow{ \sf{160E = 1600}}\)

\( \longrightarrow{ \sf{ \frac{160E}{160} = \frac{1600}{160} }}\)

\( \longrightarrow{ \sf{E = 10 \: \: newton}}\)

Effort applied = 10 N

Hope I helped!

Best regards! :D

Test c had 60 items

It is the most accurate statement that can be made about the reliability of these tests.

The reason that objective tests include so many items is to increase the reliability of the test.

Reliability Test

It is the characteristic of a set of test scores that relates to the amount of random error from the measurement process that might be embedded in the scores. Scores that are highly reliable are precise, reproducible, and consistent from one testing occasion to another.

Probability

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

A measure of reliability between two variants of the same test is known as alternate forms reliability. The results of two identical (but distinct) tests are correlated, and a reliability coefficient is computed. If variations in one test's observed results correspond to variations in the scores of an equivalent test, the test is said to be dependable. A psychological test's practise effect which is typical of test-retest reliability, can be mitigated by a survey instrument's alternate-form reliability. The goal is to reword the survey questions in a way that makes them functionally identical, or just rearrange the questions in the first and second surveys of the same respondents.

Test c had 60 items

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Answer:

25 km

Step-by-step explanation:

1 km in 4m

so

100/4 = 25

25km

Answer:

The last option, 10 is correct

Step-by-step explanation:

f(x) = 3x^2 - 4

f(2) = 3(2)^2 - 4

f(2) = 12 - 4

f(2) = 8

g(x) = 2x - 6

g(8) = 2(8) - 6

g(8) = 16 - 6

g(8) = 10

This means that g(f(2)) is equal to 10

Answer:

Its 10 or D

Step-by-step explanation:

Simple interest is a basic form of calculating interest on a loan or an investment. Elsa put $1850 in the account when she opened it.

To find out how much money Elsa put in the account when she opened it, we can use the formula for simple interest, which is

I = P * r * t.

Where:

I = Interest earned

P = Principal amount (initial deposit)

r = Interest rate

t = Time in years

Given that Elsa earned $37 in simple interest after 6 months and the annual interest rate is 4%, We can rearrange the formula to solve for the principal amount (P):

P = I / (r * t)

Substituting the given values:

P = 37 / (0.04 * 0.5)

P = 37 / 0.02

P = 1850
Calculating this, we find that Elsa put $1850 in the account when she opened it.

Therefore, Elsa put $1850 in the account when she opened it.

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Regression to the mean and selection bias are the superfluous variables that are removed by randomly choosing schools for the experiment and control groups.

A statistical phenomenon known as regression to the mean (RTM) states that if a random outcome of any measurement or event is severe in the first example, the second or following outcomes will be less extreme. In other words, it will be somewhat near to the distribution's mean or center.

According to regression to the mean (RTM), if an experiment's first result is extreme, the second result will be more in line with the population mean.

Decisions are made incorrectly as a result of this prejudice.

To mitigate the detrimental impacts of regression to the mean, organizations can exercise critical thinking and undertake a randomized controlled trial (RCT) with an experimental group and a control group.

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Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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Answer:

B

Step-by-step explanation:

given,

circumference of circle= 37.68ft

diameter of circle= 12ft

now,

circumference of circle = 2πr

37.68=2πr

37.68/2=πr

18.84 = 22/7 × r

radius (r) = 6ft

according to question, we have

number of students that can fit on circle = circumference/ radius

which is

37.68/6 ft

Answer:

well on the x and y coordinate graph the the translation is what moves the shape