Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance. The data below represent the weight losses for people on three different exercise programs. Exercise A Exercise B Exercise C 2.5 5.8 4.3 8.8 4.9 6.2 73 1.1 5.8 9.8 7.8 8.1 5.1 1.2 79 At the 1% significance level, does it appear that a difference exists in the true mean weight loss produced by the three exercise programs? 4 a. The P-Value is Round to 2 decimal places and if in scientific notation type in "1.23E-4" for example. b. The Test Statistic is Round to 2 decimal places. c. There sufficient evidence to conclude that a difference exists in the true mean weight loss produced by the three exercise programs. Type in "is" or "is not" exactly as you see here..

The average rate of change of f(x) = -11√x + 14 over the interval [-10, -9]. is 0.7

The average Rate of Change of the function f(x) can be calculated as;

\(f(x) = \dfrac{f(b) - f(a)}{b-a}\)

We have been given the function as; f(x) = -11√x + 14 over the interval [-10, -9].

i.e. a = -10 and b = -9

Therefore,  f(x) = -11√x + 14

f(-9) = -11√(-9) + 14

f(-9) = -33 + 14

f(-9) = -19

Also,  f(-10) =  -11√(-10) + 14

f(-10) = - 34.7 + 14

f(-10) = 20.7

Now, substitute the values;

\(f(x) = \dfrac{f(b) - f(a)}{b-a}\\f(x) = \dfrac{f(-9) - f(-10)}{-9+ 10}\\f(x) = \dfrac{-19-20.7}{1}\\f(x) = 0.7\)

Hence, the average rate of change of f(x) = -11√x + 14 over the interval [-10, -9]. is 0.7

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Answer:

40

Step-by-step explanation:

32÷100= 0.32

0.32×125= 40

convert your percentage into a number first, so that you are working with normal numbers only, and then multiply that by your total.

Reasonable inputs for the function are values of t ≥ 0, while reasonable outputs for the function are values of F(t) ≥ 180.

The function for this problem is defined as follows:

F(t) = 180 + 12t.

The input and output variables are given as follows:

The time cannot be negative, hence reasonable values for the input are given as follows:

t ≥ 0.

The frequency is modeled by an increasing linear function with initial value of 180, hence reasonable values for the output are given as follows:

F(t) ≥ 180.

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Answer:

Circumference ~ 53.4

Step-by-step explanation:

Use the distance formula to get the radius of the circle. The radius is about 8.5. Now put 8.5 into the formula 2(pi)r for the Circumference. Rounding to the nearest tenth the answer is 53.4

The maximum value of z = 4x + 5y subject to the given constraints is 9, which occurs at the vertex (1, 1).

We have,

To find the maximum value of z = 4x + 5y subject to the given constraints, we can solve the linear programming problem using the graphical method.

First, let's graph the feasible region formed by the constraints:

Plotting the lines:

3x + 2y = 5 (represented by line A)

2x + 3y = 5 (represented by line B)

Next, shade the region below or on line A (since it is less than or equal to 5), and shade the region below or on line B:

Now, let's plot the line z = 4x + 5y for various values of z.

By observing the graph, we can find the point where the line z = 4x + 5y is maximized within the feasible region.

The maximum value of z will occur at one of the vertices of the feasible region.

In this case, the vertices are (0, 5/2), (5/3, 0), and the intersection point of lines A and B, which can be found by solving the two equations simultaneously:

3x + 2y = 5

2x + 3y = 5

Solving these equations, we find the intersection point to be (1, 1).

Now, substitute the coordinates of each vertex into the objective function z = 4x + 5y:

z(0, 5/2) = 4(0) + 5(5/2) = 25/2 = 12.5

z(5/3, 0) = 4(5/3) + 5(0) = 20/3 ≈ 6.67

z(1, 1) = 4(1) + 5(1) = 9

Thus,

The maximum value of z = 4x + 5y subject to the given constraints is 9, which occurs at the vertex (1, 1).

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It also illustrates a situation where different methods can lead to what appear to be entirely different answers, yet they may be identical. A circle O is circumscribed around a triangle ABC, and its radius is r. The angles of the triangle are CAB = a, ABC = b, BCA = c.

Answer:

-300 because of the negative sign attached to the 4

Answer:

1) I would remove the '-2' first by adding '2' to both sides. Technically, it does not matter the order you remove the '5' or '-2' though it would be more of a hassle if you were to remove the number associated w/ a variable as you would do extra steps when there is a possibility to do it in less steps. So, ideally, it does matter but depending on your perspective.

2) You would begin by turning '1' into a fraction that has the same denominator as the fraction it is to be added to. This would get you 7/7. Then, you add 7/7 to 4/7 in order to get your final answer of 11/7. You could also just put the two numerical values together as '1 4/7' but I am inferring they want it in an improper fraction format. The steps to get an improper fraction are ideal since it is the simplest way to get to the final answer.

If you have any more questions please comment them and I will be happy to answer them if I can ^^

The given regressions analyze the relationship between wages and gender by considering the average hourly earnings for females and males in a population. The coefficients in the equations provide insights into the average wage differences between genders.

The given question asks us to consider three regressions that hold for the same population. The three regressions are as follows:

1. Wage = A0 + A1 * Female + Ui
2. Wage = B0 + B2 * Male + Vi
3. Wage = C1 * Female + C2 * Male + Ei

In these equations, "Wage" refers to average hourly earnings, "U," "V," and "E" are the error terms of the regressions, and "Female" is a variable that takes the value of 1 if the observation refers to a female and 0 if it refers to a male. Similarly, "Male" is a variable that takes the value of 1 if the observation refers to a male.

Let's break down these equations:

1. The first regression equation states that the wage is equal to A0 plus the product of A1 and the "Female" variable, added to an error term "Ui."

2. The second regression equation states that the wage is equal to B0 plus the product of B2 and the "Male" variable, added to an error term "Vi."

3. The third regression equation states that the wage is equal to the product of C1 and the "Female" variable, plus the product of C2 and the "Male" variable, added to an error term "Ei."

These regressions are used to analyze the relationship between wages and gender. By including the variables "Female" and "Male" in the equations, we can estimate the impact of gender on wages.

The coefficients A1, B2, and C1 represent the average difference in wages between females and males, while the coefficients A0, B0, and C2 represent the average wages for males when the respective gender variable is 0.

It's important to note that these equations are specific to the population being studied and the variables included in the analysis.

The error terms (Ui, Vi, and Ei) account for factors not included in the regressions that affect wages, such as education, experience, and other socioeconomic variables.

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To complete the identity of sin u cos v, we can use the trigonometric identity:

sin(A + B) = sin A cos B + cos A sin B

By comparing this identity to sin u cos v, we can see that the expression that completes the identity is sin(u + v).

Therefore, the expression that completes the identity of sin u cos v is sin(u + v).

For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.

What is linear inequality?

A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.

We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.

The dotted graphs are drawn for the inequalities having < or >

Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.

Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not

1. 3x-2y≤6

⇒ 0≤6

So, the equation is true for the point.

Hence, the third graph represents this equation.

2. 3x-2y<6

⇒ 0<6

So, the equation is true for the point.

Hence, the first graph represents this equation.

3. 3x-2y>6

⇒ 0>6

So, the equation is false for the point.

Hence, the fourth graph represents this equation.

4. 3x-2y≥6

⇒ 0≥6

So, the equation is false for the point.

Hence, the second graph represents this equation.

Hence, the graphs are matched with the inequalities.

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Since, there are multiple questions so, the question answered above is attached below.

Answer:

C

Step-by-step explanation:

-4d is greater or equal to -12

d is less  than  or equal to 3

Answer:

c

Step-by-step explanation:

c is the answer

The answer to the given binary operation is 10012. The binary operation of adding 1112 and 102 will be solved by converting the binary numbers to base 10, performing the addition in base 10, and then converting the result back to base 2.

Converting the binary numbers to base 10, we have 1112 = 7 and 102 = 2. Adding 7 and 2 in base 10 gives us 9. To convert the result back to base 2, we divide 9 by 2 repeatedly until the quotient becomes 0. The remainder in each division gives us the binary digits of the answer. In this case, 9 divided by 2 is 4 with a remainder of 1, and 4 divided by 2 is 2 with a remainder of 0. Therefore, the binary representation of 9 is 1001. Hence, the answer to the given binary operation is 10012.

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Answer:

-7 = -7

a. infinite solution

At the 0.1 level of significance, the conclusion we come up with is to reject the null hypothesis.

we are given that a random sample of 150 people was taken. 98 of the people in the sample favored the candidate, were it to determine whether or not the proportion of the population in favor of candidate a is significantly more than 57%.So we need to find the test statistic, which is 1.98  determined from the z score, here the rejection region is the number more than 1.28, and 1.98 is greater than 1.28, so it is better to simply reject the null hypothesis.

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Answer:

{3/2, 4}

Step-by-step explanation:

Set x - 4 = 0 and solve for x:  x = 4 is a solution.

Seet 2x - 3 = 0 and solve for x:  3/2 is another solution.

Answer:  t = 10m

Step-by-step explanation:

We know the lengths of the two legs, but not the length of the hypotenuse.  To calculate this, we use the Pythagorean Theorem: a^2 + b^2 = c^2.

So (6)^2 + (8)^2 = (t)^2

36 + 64 = t^2

100 = t^2

sqrt (100) = sqrt (t^2)

t = 10

*sqrt = square root

Answer:

3.5x + 2.50y = 1237.50

425 = x + y

Step-by-step explanation:

number of adult tickets: x

number of student tickets: y

3.5x + 2.50y = 1237.50

( value of adult ticket [3.50]* number of adult tickets [x]) + (value of student ticket [2.50] * number of student tickets [y]) = total value (1237.50)

425 = x + y

(number of adult tickets [x]) + (number of student tickets [y]) = total (425)

The algebraic expression simplify to:

185) 10/3v  (The excluded values are 7 and v)

186) 7/3  (The excluded values are 10 and x⁴)

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

We can simplify the expressions as follow:

185) 70v / 21v² = (7 * 10 * v) / (7 * 3 * v * v)

                         = 10/3v          (Notice: 7 and v are common)

Thus, the excluded values are 7 and v.

186) 70x⁴ / 30x⁴ = (10 * 7 * x⁴) / (10 * 3 * x⁴)

                         = 7/3          (Notice: 10 and x⁴ are common)

Thus, the excluded values are 10 and x⁴.

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125.66ft

Hope this helps!

Answer:

10 chairs are 102 inches

Step-by-step explanation:

Beacause 5 chairs are 51 so the double of chairs will be 102 inches

The vector A is (49.9m) x and vector B is (1.5m) x.

In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.

Find the vector A. Find the vector B.

We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).

A − B = −51.4.............................(1)

C = 62.2.............................(2)

A + B + C = 13.8.............................(3)

Now putting the value of C from Equation (2) in Equation (3)

A + B + C = 13.8

A + B + 62.2 = 13.8

Subtract 62.2 on both side, we get

A + B = 13.8 - 62.2

A + B = - 48.4.....................(4)

Adding the equation (1) and (4), we get

2A = - 99.8

Divide by 2 on both side, we get

A = - 49.9

Now subtracting the equation (1) and (4), we get

2B = -48.4 - ( -51.4)

2B = 3

Divide by 2 on both side, we get

B = 1.5

Since all of the calculations are done in terms of the unit vector x.

So the answer is vector B = (1.5m) x and vector A = (49.9m) x.

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7. the graphed solution (bold line) shows inequalities x≥-1

this is the same as inequality: x + 1 ≥ 0 (A)

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

Answer:

d

Step-by-step explanation:

The total bill is the sum of all the items purchased.

The items purchased includes;

A shirt for $29.85

Pants for $32.15

Jewelry for $15.45

The sum of this items is;

Therefore, the total bill comes to $77.45 before tax.