Evaluate b(x) = 18 - 0.5x when I
-2,0, and 5.

Sample Mean: 3.25

Standard Deviation: 2.29

CI: 1.36 to 5.14

To compute the sample mean, add up all the values and divide the sum by the number of values in the data set. In this case, the data set is 3, 4, 6, 8, 2, 1, 0, 2.

Summing up the values: 3 + 4 + 6 + 8 + 2 + 1 + 0 + 2 = 26.

There are 8 values in the data set, so divide the sum by 8: 26 / 8 = 3.25.

Therefore, the sample mean is 3.25 cups of coffee per day.

To compute the sample standard deviation, we need to find the square root of the variance. The variance is the average of the squared differences from the mean.

First, calculate the squared differences from the mean for each value:
(3 - 3.25)^2 = 0.0625
(4 - 3.25)^2 = 0.5625
(6 - 3.25)^2 = 7.5625
(8 - 3.25)^2 = 20.0625
(2 - 3.25)^2 = 1.5625
(1 - 3.25)^2 = 5.0625
(0 - 3.25)^2 = 10.5625
(2 - 3.25)^2 = 1.5625

Next, find the average of these squared differences:
(0.0625 + 0.5625 + 7.5625 + 20.0625 + 1.5625 + 5.0625 + 10.5625 + 1.5625) / 8 = 5.25.

Finally, take the square root of the variance to find the sample standard deviation:
sqrt(5.25) ≈ 2.29.

Therefore, the sample standard deviation is approximately 2.29 cups.

To construct a 95% confidence interval for the mean number of cups of coffee consumed among all undergraduates, we can use the formula:

CI = sample mean ± (t * (sample standard deviation / sqrt(n))),

where t is the t-value for the desired confidence level, sample standard deviation is the calculated standard deviation, sqrt(n) is the square root of the sample size, and the sample mean is the calculated mean.

For a 95% confidence level, with a sample size of 8, we can find the t-value from a t-table. The t-value for a 95% confidence level with 8 degrees of freedom is approximately 2.306.

Plugging in the values, the confidence interval is:

CI = 3.25 ± (2.306 * (2.29 / sqrt(8))).

Calculating the lower limit:
3.25 - (2.306 * (2.29 / sqrt(8))) ≈ 1.36.

Calculating the upper limit:
3.25 + (2.306 * (2.29 / sqrt(8))) ≈ 5.14.

Therefore, the 95% confidence interval for the mean number of cups of coffee consumed among all undergraduates is approximately 1.36 to 5.14 cups per day.

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29.13 square units is the area of the composite figure.

The given composite figure is a triangle and a semicircle. Then formula for the area is expressed as:

A= area of triangle + area of semicircle

Area of triangle = 0.5(5)(6)
Area of triangle = 15 square units

Area of semicircle = πr²/2

Area of semicircle = 3.14(3)²/2

Area of semicircle = 14.13 square units

Area of the shape = 15 square units + 14.13 square units

Area of the shape = 29.13 square units

Hence the given area of the figure is  29.13 square units

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Answer:

x = 2

Step-by-step explanation:

8(4-x) = 7x + 2

1) Distribute : 32 - 8x = 7x + 2

2) Subtract 32 : -8x = 7x - 30

3) Subtract 7x : -15x = -30

4) Divide 15 : x = 2 :)

Answer:

5

Step-by-step explanation:

Find the prime factorization for both of them

10=2 x 5

125=5 x 5 x5

What factors are common in both of them: 5

Answer:

Coupon second discount = 200 off

Step-by-step explanation:

Given:

Price of laptop = $1,313

Coupon first discount = 15% off

Coupon second discount = 200 off

Find:

Choose coupon get the bigger discount

Computation:

Coupon first discount = 15% off

Coupon first discount = 1,313 x 15%

Coupon first discount = $196.95

So,

Coupon second, for get the bigger discount

Answer: y = −(4/3)x  +   3.

Step-by-step explanation: 4x+3y=9  is the standard form for a linear equation. To convert the standard form to slope-intercept form, solve the standard form for y

4x+3y=9

Subtract 4x from both sides.

3y=−4x+9

Divide both sides by 3.

Answer: y = −(4/3)x  +   3.

Answer:

y = − 4/3x+3  

Step-by-step explanation:

4 x + 3 y = 9

Subtract  

4 x  from both sides.

3 y = − 4 x + 9

Divide both sides by 3

y=-4/3x+9/3

Simplify and you get y=-4/3x+3

The rule for the function g(x) is:

g(x) = 1.15*(x^2 - 3x -16)

First we know that the function f(x) is f(x) = x^2 - 7x

And we know that h(x) is a translation of 6 units down and 2 units to the left of f(x), then:

h(x) = f(x + 2) - 6

Now we know that g(x) is 115% of h(x), then we can write:

g(x) = 1.15*h(x)

Replacing h(x) by the rule above we get:

g(x) = 1.15*(f(x + 2) - 6)

Replacing the actual function there:

g(x) = 1.15*( (x + 2)^2 - 7*(x + 2) - 6)

g(x) = 1.15*( x^2 + 4x + 4 - 7x - 14 - 6)

g(x) = 1.15*(x^2 - 3x -16)

This is the rule for function g(x).

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Answer:

x = 21

Step-by-step explanation:

4x = 84

Divide each side by 4

4x/4 = 84/4

x = 21

Answer:

x = 21

Step-by-step explanation:

84/4 = 21

x=21

The equation will be:

\(m\angle 1=\dfrac{1}{2}(arc\ a-arc\ b)\)

The arc of the circle is the curved line on the circle formed by the angle and the radius of the circle.

In the attached picture of the question, we can see that

The measure of the interior angle is the semi-sum of the arches that comprise it and its opposite.

So the equation will be

\(m\angle 1=\dfrac{1}{2}(arc\ a-arc\ b)\)

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Answer: a

Step-by-step explanation:

Answer:

StartFraction T Subscript h Baseline minus T Subscript C Baseline over T Subscript h Baseline EndFraction times 100

Step-by-step explanation:

could i have brainliest plz i so close to next rank

Answer:

its a

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

75% is 3/4. 3/4 of 44 is 33.

Answer:

Vertex  Distance to   Vertex  Distance to  

A 3.6  AEF 3.6

B 2.2  BEF 2.2

C 2.0  CEF 2.0

D 3.4  DEF 3.4

Step-by-step explanation:

Vertex  Distance to   Vertex  Distance to  

“For prescriptions extra than an importance of 4 D, the accuracy of the vertex distance is extremely critical in figuring out the essential energy because there's a giant distinction between a glasses prescription and the equivalent power at the corneal plane or phakic IOL aircraft,” Dr.

The physician throughout your exam does now not take your PD every time throughout your exam, as that is left to the optician who's going to make your eyewear. Having an erroneous PD will now not harm you, however, may make your vision uncomfortable, strained, and in the worse case state of affairs, reason double imaginative and prescient.

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Answer:

k= h/7 + p/7 +4

We can convert the equation of the line in vector form by imposing i cap ,j cap and k cap with direction ratios.

The movement of an object from one place to another is described using vectors. Vectors can be represented as points in a coordinate system in the cartesian system. Similar to this, a "n" tuple can be used to represent vectors with "n" dimensions.

In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. Simply subtract the starting point from the terminal point to determine the vector in component form given the initial and terminal points.

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.

To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:

0 = -b * log(base a)(3 - h) + k

Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:

2 = -b * log(base a)(0 - h) + k

Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.

In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.

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If a between-subjects design uses random assignment, the design will be called an independent groups design.

This means that participants are randomly assigned to either the experimental or control group, ensuring that the groups are equivalent at the start of the study. This type of design allows for a comparison of the effects of the independent variable on the dependent variable between the groups. I

t is important to note that an independent groups design is different from a matched groups design, in which participants are paired based on certain characteristics before being assigned to different groups. The use of random assignment in an independent groups design helps to control for extraneous variables and increase the internal validity of the study.

If a between-subjects design uses random assignment, the design will be called a(n) c. independent groups design. This design involves assigning participants to different experimental groups or conditions using random allocation. This ensures that each participant has an equal chance of being assigned to any group, reducing potential confounds and increasing the validity of the results. The independent groups design allows for comparison between the groups and the examination of the effects of the independent variable on the dependent variable.

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Answer:

10 = c

Step-by-step explanation:

Distribute -4 to the parentheses:

8 = 8c - 4(c + 8)

8 = 8c - 4c - 32

Add like terms:

8 = 4c - 32

Add 32 to both sides:

40 = 4c

10 = c

Answer:

Question:

8=8c-4(c+8)

Step-by-step explanation:

8=8c-4c-32

8=4c-32

8+32=4c

40=4c

Or

4c=40

c=10

the answer

155

324

5/9 (87/3(1/12)= 155/324

Answer:

P = 10n + 50

Step-by-step explanation:

fixed charge 50

10 / unit

for n units of water charge is n * 10

Water bill is P

P = n * 10 + 50

P = 10n + 50

Answer:

2

Step-by-step explanation:

I know this because they both can go into 2 easily

Answer:

To find the slope of a line, we need to know the slope formula. The slope formula is:

m = , with m being the slope and (x₁, y₁) being the coordinates of one point and (x, y) being the coordinates of the other. Now we can substitute the values of the points in our problem ( (-1,-1) and (1, -4) ) into the slope formula. Substituting, we get:

=

==

=-1.5

That means the slope of our line is -1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

It can end with a 0.

For example 12 * 5 = 60.

Answer:

b) 2x=9=>x=9/2=4.5

c)x/5=7=>x=5×7=35

d)x/2=6.5=>x=6.5×2=13

In parametric models, "two-way association" refers to the relationship between two variables where each variable has an influence on the other. It implies that changes in one variable affect the other, and vice versa.

In parametric models, two-way association is characterized by a mutual dependency between the variables. This means that the values of both variables are determined by each other rather than being independent. The association can be described in terms of a mathematical equation or model that represents the relationship between the variables.

For example, in a regression model, if we have two variables X and Y, a two-way association implies that changes in X will cause corresponding changes in Y, and changes in Y will cause corresponding changes in X. This indicates a bidirectional relationship where both variables influence each other. Two-way associations are important in understanding and analyzing complex systems and can provide insights into causal relationships and interactions between variables.

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The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz

To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.

By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.

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\(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

\(\frac{1 - 4}{0 + 1}\)

\(\frac{-3}{1}\)

the slope is -3

y intercept is 1

y = -3x + 1

hope this helped :))

The expression for the situation regarding the wedding singer is 15 + 60x.

The independent variable is the travel expense.

The dependent variable is the amount per hours.

It ie important to note that an expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Let the number of hours be x

Since the wedding singer is paid $60 per hour plus $15 for travel expenses, the expression will be:

= 15 + (60 × x)

= 15 + 60x

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