The Community College Survey of Student Engagement reports that 46% of the students surveyed rarely or never use peer or other tutoring resources. Suppose that in reality 40% of community college students never use tutoring services available at their college. In a simulation, we select random samples from a population in which 40% do not use tutoring. For each sample, we calculate the proportion who do not use tutoring. If we randomly sample 100 students from this population, the standard error is approximately 5%. Would it be unusual to see 46% who do not use tutoring in a random sample of 100 students?a) Yes, this would be unusual because 46% is more than one standard error from the mean. It is very rare for a sample to be more than one standard error from mean. b) Yes, this would be unusual because 46% is 6% higher than 40%. c) No, this would not be unusual because the error is only 6%. d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Answer:

Answer:

B only

Step-by-step explanation:

In A and in C, only the angles of

one triangle are congruent to the

corresponding angles of the other

triangle. That proves similar triangles but

not necessarily congruent triangles.

Definition of congruent triangles:

Two triangle are congruent if all angles

of one triangle are congruent to all

corresponding angles of the other

triangle and all sides of one triangle are

congruent to all corresponding sides of

the other triangle.

That happens only with the triangles in B.

Answer: B only

Answer:

Which of the following pairs show(s) two congruent triangles?

ans:A,B,and C

Answer:

Step-by-step explanation:

The answer is C

Answer:

Value-Added Tax

Step-by-step explanation:

Value-added tax (VAT) is a consumption tax on goods and services that is levied at each stage of the supply chain where value is added, from initial production to the point of sale.

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

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Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

Answer:

The null hypothesis is \(H_0: \mu = 444\)

The alternative hypothesis is \(H_1: \mu < 444\)

The p-value of the test is 0.1148 > 0.05, which means that the sample does not give enough evidence to conclude that the machine is underfilling the bags.

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting.

At the null hypothesis, we test if the machine works correctly, that is, the mean is of 444. So

\(H_0: \mu = 444\)

At the alternative hypothesis, we test if they are underfilling, that is, if the mean is of less than 444. So

\(H_1: \mu < 444\)

The test statistic is:

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

444 is tested at the null hypothesis:

This means that \(\mu = 444\)

A 41 bag sample had a mean of 440 grams with a variance of 441.

This means that \(n = 41, X = 440, s = \sqrt{441} = 21\)

Value of the test statistic:

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{440 - 444}{\frac{21}{\sqrt{41}}}\)

\(t = -1.22\)

P-value of the test:

Right-tailed test(test if the mean is less than a value), with 41 - 1 = 40 df and t = -1.22.

Using a t-distribution calculator, this p-value is of 0.1148

The p-value of the test is 0.1148 > 0.05, which means that the sample does not give enough evidence to conclude that the machine is underfilling the bags.

Answer:

16 blue, 11 yellow, and 4 red

Step-by-step explanation:

Answer:

Se pagará $7200.

Step-by-step explanation:

La ecuación del costo puede descomponerse en dos factores que luego se multiplican:

1) Siendo A el area del del muro, la parte del costo que depende del área se calcula como un tercio (1/3) del doble (2) del área A. Este factor se puede escribir como:

\(C_1=(1/3)\cdot 2 \cdot A=(2/3)\cdot A\)

2) Siendo T el número de trabajadores, el siguiente factor es el triple del numero de trabajadores T. Esto es:

\(C_2=3T\)

Multiplicando ambos factores, tenemos la ecuacion del costo en función de A y T:

\(C=C_1\cdot C_2=(2/3)A\cdot 3T=2 AT\)

Si se planea pintar un muro de 1200m² y se contrataran a 3 trabajadores, el costo será:

\(C=2AT=2(1200)(3)=7200\)

The amount of time you spent running to your friend's house was 3 / 7 hours

The amount of time you spend walking home was 1. 5 hours

To find the time taken, when given distance and speed, the formula is:

= Distance / Speed

The time you spent running to your friend's house is therefore :

= Distance / Speed

= 3 / 7

= 3 / 7 hours

The time you spent walking back home was :

= 3 / 2  x 60

= 1. 5 hours

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The questions are:

a. How long did you spend running to your friend's house? hour(s)

b. How long did you spend walking home?

Answer:

X=12

Step-by-step explanation:

Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

Answer:

C is at 400

Step-by-step explanation:

-600+500 = -100

-100+500 = 400

Answer: X = 21/6

Step-by-step explanation:

The angle is a 90 degree angle.

that means we know 21x+6=90

21x = 90-6

21x=84

x = 84/24

x = 21/6

x = 21/6

A set of data that could be represented by the box-and-whisker plot include the following: D.

The median of the set of data is equal to 10.

In Mathematics and Statistics, a box-and-whisker plot is a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided about the data set (2, 2, 7, 10, 10, 11, 13, 15, 17, 20, 20, 24, 26, 27, 27, 28), the five-number summary for the given data set include the following:

Minimum (Min) = 2.

First quartile (Q₁) = 16.

Median (Med) = 10.

Third quartile (Q₃) = 25.5.

Maximum (Max) = 28.

In conclusion, we can logically deduce that the median of the data set is 10 and it has no outlier.

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The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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a) The computation of the quality-control overhead cost to be assigned by Trendy Toys to the toddler toy line for August:

1) Using the traditional product costing system is $76,130 ($331,000 x 23%).

2) Using the activity-based costing system is $61,280 (42,000 x $0.80 + 163,000 x $0.16 + 800 x $2.00).

= ($33,600 + $26,080 + $1,600)

b) The traditional product costing system overcasts the overhead by $14,850 ($76,130 - $61,280) when compared with the activity-based system.

c) The classification of the activities as value-added or non-value-added is as follows:

Materials Inspection           Non-value added

Assembly Line Inspection  Non-value added

National Toy Association   Non-value added

A non-value-added activity is a production activity that does not increase the value of the product or service delivered to the customer.

Examples of non-value-added production activities undertaken by Trendy Toys are materials inspection, assembly-line inspection, and payment for the National Toy Association Certification.

d) Under the new proposal, the overhead cost assigned to the toddler toy line for August using activity-based costing is $60,450.

= $60,450 (42,000 x $0.80 + 163,000 x $0.15 + 800 x $3.00)

= $60,450 ($33,600 + $24,450 + $2,400)

e) Trendy Toys should accept the offer from National Toy Association because it reduces its overhead cost by $830 ($61,280 - $60,450).

Quality control overhead costs rate = 23% of direct labor cost

Direct labor cost for August = $331,000

Activity Cost Pools      Cost Drivers         Overhead      Number of Cost

                                                                       Rate               Drivers Used

                                                                                               per Activity

Materials Inspection  Number of pounds $0.80 per pound 42,000pounds

Assembly Line           Inspection Number $0.16 per toy      163,000 toys

                                  of finished toys

National Toy              Retail orders           $2.00 per order        800 orders

Association

Certification

Thus, by accepting the National Toy Association's offer, Trendy Toys' overhead cost will be reduced by $830 under the activity-based costing system.

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Answer:

x=7.5

Step-by-step explanation:

Let's solve your equation step-by-step.

3(x+4.5)=36

Step 1: Simplify both sides of the equation.

3(x+4.5)=36

(3)(x)+(3)(4.5)=36(Distribute)

3x+13.5=36

Step 2: Subtract 13.5 from both sides.

3x+13.5−13.5=36−13.5

3x=22.5

Step 3: Divide both sides by 3.

3x/3=22.5/3

x=7.5

Answer:

x=7.5

By algebraic handling, the expression 9 / 6 - 4 · (2 / 3 - 7 / 6)² is equivalent to the expression 1 / 2.

In this problem we must simplify an expressions involving powers and rational numbers by algebra definitions and theorems:

9 / 6 - 4 · (2 / 3 - 7 / 6)²                                Given

9 / 6 - 4 · [[(2 · 6) - (3 · 7)] / (3 · 6)]²              Subtraction of fractions with different denominators

9 / 6 - 4 · [(12 - 21) / 18]²                               Definition of multiplication

9 / 6 - 4 · (- 9 / 18)²                                       Definition of subtraction

3 / 2 - 4 · (1 / 2)²                                           Definition of simplification

3 / 2 - 4 · (1 / 4)                                             Power properties

3 / 2 - 1                                                         Definition of division / Existence of multiplicative inverse

3 / 2 - 2 / 2                                                   Definition of division / Existence of multiplicative inverse

1 / 2                                                               Subtraction of fractions with same denominator / Result

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Answer:

1/5

Step-by-step explanation:

20/4=5

The reciprocal of 5 = 1/5

Answer:

L = 3W + 3.

Step-by-step explanation:

Twice the width = 2W,

Adding 3 gives 2W + 3.

The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5  d ) -25/12

Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent.  Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse

the give parameters are:

tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2

a)  sin(α+β)

Using the trig ratios tan = opp/adj

but from pyth. rule, 4² + 3² = h²

16+9 = h²

h = √25 = 5

Now from trig Sin(α+β)

4/5 + 3/5

=- 7/5

b) cos(α+β)

cos = ad/hypo

4/5 + 3/5

= -7/5

c) Sin(α-β)

4/5 - 3/5

-1/5

d) tan(α-β)

= -4/3 - 3/4

= (-16 - 9)/ 12

-25/12

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Answer:

The answer is 4,5.

Step-by-step explanation:

Go over 4 times and go up 5, and there is your answer.

a=34.697, only one triangle is formed.

And B=40°.7'

A≈77°.79'.So, option A is correct.

Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one.

Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.

Given,

C​=61° 50, c​=31.2, b=23.6

Sine rule:

sin B/b=Sin C/c

sin B=b sin C/c

=(23.6 sin 61° 50)/31.2

sin B=0.65219

sin B=139.3

A+B+C=180

A=180-B-C

A=180-139.3-61.50

A= -20.8 which is not possible.

Because the angle must be positive.

sin B=sin 40.70

A+B+C=180

A=180-40.70-61.50

A=77.79'

sin A/a=sin C/c

a=c sin A/sin C

So, a=34.697

Only one triangle is formed

And B=40°.7'

A≈77°.79'

Hence, option A is correct.

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Guests who appear on talk shows and converse with one another for the benefit of the audience make up a (C) panel discussion.

Participants in a panel discussion are guests who appear on talk shows and engage in conversation with one another for the benefit of the audience.

A panel discussion, or simply a panel, is a gathering of people who talk about something in front of an audience, usually at fan conventions, conferences for business or academia, or on television.

Panels often have a moderator who leads the conversation and occasionally solicits questions from the audience with the intention of being both educational and entertaining.

Fan convention film panels have been attributed with increasing box office revenues by creating anticipation.

Therefore, guests who appear on talk shows and converse with one another for the benefit of the audience make up a (C) panel discussion.

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The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

A car traveling at 35 miles per hour would be 25.865 miles per gallon.

Step-by-step explanation:

a. To determine the best-fit model for the given data, we can plot the data on a graph and visually inspect it. From the scatter plot, we can see that the data points roughly form a linear shape, suggesting that a linear equation may be the best fit.

b. To find the equation of the best-fit line, we can use linear regression analysis. The best-fit equation for the given data is:

y = 0.0294x + 24.355

c. To predict the fuel economy for a car traveling at 35 miles per hour, we can substitute 35 for x in the best-fit equation:

y = 0.0294(35) + 24.355 = 25.865

Therefore, we can predict the fuel economy for a car traveling at 35 miles per hour to be 25.865 miles per gallon.

Hoped this help! Again, sorry if it's wrong. If you need more help, ask me! :]

Answer:

B

Step-by-step explanation:

Since the equation is all positive, the curve should concave towards the 4th quadrant.