Many unversities and colleges have instituted supplemental instruction (SI) programs, in which student facilitator meets regularly with a small group of students enrolled in the course to promote discussion of course material and enhance subject mastery. Suppose that students in a large statistics course are randomly divided into a control group group that will not participate in SI and a treatment group that will participate. At the end of the term each student’s total score in the course is determined.
A) Are the scores from the SI group a sample from an existing population? If so, what is it? If not, what is the relevant conceptual population?
B) What do you think is the advantage of randomly dividing the students into the two groups rather than letting each student choose which group to join?
C) Why didn’t the investigators put all students in the treatment group?

Answer:

1/3

Step-by-step explanation:

1/4×3/2×8/9

Rewriting

8/4 * 3/9 *1/2

Simplify

2 * 1/3 * 1/2

Rewriting

2/2 * 1/3

1 * 1/3

1/3

Answer:

See answer in the image below.

Answer:

0.943125.

Step-by-step explanation:

I used an website which is Desmos.com. it works great and is very helpful. you should give it a try.

Answer:

2

Step-by-step explanation:

1. Start by substituting 3 for every h, so it looks like 3^2-3(3)+2

2. Do the exponent first 9-3(3)+2

3. Multiply 3(3) to get 9-9+2

4. Subtract 9-9, 0+2

5. Add 0 and 2 to get 2

Answer:

x=5

Step-by-step explanation:

4x−8=12

4x-8+{\color{#b14ba5}{8}}=12+{\color{#b14ba5}{8}}

4x−8+8=12+8

simplify

4x=20

divide both sides of the equation by the same term

4x=20

4

4x

​  

=  

4

20

​

the answer is

x=5

Steps to solve:

-4x - 8 = 12

~Add 8 to both sides

-4x = 20

~Divide -4 to both sides

x = -5

Best of Luck!

Answer:

1) x = ln(7) -1

2) x = [tex]\frac12(3+e^5)[/tex]

Step-by-step explanation:

In the first one, take the ln left and right and isolate x.

In the second one, take the e power left and right and isolate x.

Answer:

The average is:

105 cm

Step-by-step explanation:

1 m = 100cm

2m = 2*100 = 200cm

then:

(200 + 20 + 95)/3 = 315/3 = 105cm

answer.next time out the graph

Step-by-step explanation:

Answer:

It's A, an odd function

Answer:

[tex]\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}[/tex]

Step-by-step explanation:

Given the quadratic equation as:

[tex]2sin^2x+sinx=1\\OR\\2sin^2x+sinx-1=0[/tex]

Let us put [tex]sinx=y[/tex] for simplicity of the equation:

Now, the equation becomes:

[tex]2y^2+y-1=0[/tex]

Now, let us try to solve the quadratic equation:

[tex]\Rightarrow 2y^2+2y-y-1=0\\\Rightarrow 2y(y+1)-1(y+1)=0\\\Rightarrow (2y-1)(y+1)=0\\\Rightarrow 2y-1 = 0, y+1 = 0\\\Rightarrow y = \dfrac{1}{2}, y = -1[/tex]

So, the solution to the given trigonometric quadratic equation is:

[tex]sinx = \dfrac{1}{2}[/tex]

and

[tex]sinx=-1[/tex]

Let us try to find the values of [tex]x[/tex] in the interval [tex][0, 2\pi)[/tex].

[tex]sin\theta[/tex] can have a value equal to [tex]\frac{1}{2}[/tex] in 1st and 2nd quadrant.

So, [tex]x[/tex] can be

[tex]30^\circ, 150^\circ\\OR\\\dfrac{\pi}{6}, \dfrac{5\pi}{6}[/tex]

For [tex]sinx=-1[/tex],

[tex]x = 270^\circ\ or\ \dfrac{3 \pi}{2}[/tex]

So, the answer is:

[tex]\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}[/tex]

here's the answers

LCM = 30

15 = 3×5

2 = 2¹

10 = 2×5

LCM = 2×3×5 = 30

Answer:

Distributive Property

Step-by-step explanation:

5y + 2 + 6 + 2y

= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition

= 6y − y + 2y + 10 − 4 + 2

The distributive property of multiplication with respect to addition  is the one  which separates each term by using multiplication and then addition.

So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.

Answer:

a) [tex]f(x) = 6x[/tex]

if x = input

then the function of the input is to  "multiply the input by 6"

b)  [tex]f(x) = 2x - 3[/tex]

the function of the input = two multiply by the input minus six

c) [tex]h(t) = t^3 - 5[/tex]

the function of the input = the cube of the input minus five

Step-by-step explanation:

Given that:

a) [tex]f(x) = 6x[/tex]

b) [tex]f(x) = 2x - 3[/tex]

c) [tex]h(t) = t^3 - 5[/tex]

The objective is to state in words the rule defined by each of the functions

We are being given the first question as a sample that:

a) [tex]f(x) = 6x[/tex]

if x = input

then the function of the input is to  "multiply the input by 6"

b)  [tex]f(x) = 2x - 3[/tex]

the function of the input = two multiply by the input minus six

c) [tex]h(t) = t^3 - 5[/tex]

the function of the input = the cube of the input minus five

Answer: equation of the tangent plane is z = 1

Step-by-step explanation:

Given equation

z = e^(-x²-y²) at point (0,0,1)

now let z = f(x,y)

Δf(x,y) = [ fx, fy ]

= (-2xe^(-x²-y²)), (-2ye^(-x²-y²))

now

Δf (0,0) = [ 0, 0 ] = [ a, b ]

equation of the tangent plane therefore will be

z - z₀ = a(x-x₀) + b(y-y₀)

z - 1 = 0(x-0) + 0(y-0)

z - 1 = 0 + 0

z = 1

Therefore equation of the tangent plane is z = 1

Answer:

16

Step-by-step explanation:

Given :

Three points ,  P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) .

To Find :

The length of sides .

Given :

We know , length of two points P(x,y ,z) and Q(a,b,c) is given by :

[tex]L=\sqrt{(x-a)^2+(y-b)^2+(z-c)^2}[/tex]

Length of PQ :

[tex]PQ=\sqrt{(4-2)^2+(3-1)^2+(4-3)^2}\\\\PQ=\sqrt{4+4+1}=\sqrt{9}\\\\PQ=3[/tex]

Length of QR :

[tex]QR=\sqrt{(2-2)^2+(1-7)^2+(3-0)^2}\\\\QR=\sqrt{0+6^2+3^2}\\\\QR=\sqrt{36+9}\\\\QR=\sqrt{45}\\\\QR=3\sqrt{5}[/tex] :

Length of RP :

[tex]RP=\sqrt{(2-4)^2+(7-3)^2+(0-4)^2}\\\\RP=\sqrt{2^2+4^2+4^2}\\\\RP=\sqrt{4+16+16}\\\\RP=\sqrt{36}\\\\RP=6[/tex]

Hence , this is the required solution .

The angle above the y is 90 degrees ( shown by the little square)

The 3 inside angles of a triangle need to equal 180.

Y = 180 - 90 - 48

Y = 42

Answer: y = 42°

Step-by-step explanation:

Triangle Sum Theorem states the sum of the angles of a triangle is 180°

y + 48° + 90° = 180°

y + 138° = 180°

y = 42°

Answer:

84 cm²

Step-by-step explanation:

Surface are of the net = sum of the area of each section

Area of the 2 right triangles:

base (b) = 4cm, height (h) = 3 cm

Area = 2(½*b*h) = 2(½*4*3) = 4*3 = 12 cm²

Area of rectangle with the following dimensions:

length (L) = 6 cm, width (W) = 4 cm

Area = L*W = 6*4 = 24 cm²

Area of rectangle with the following dimensions:

length (L) = 6 cm, width (W) = 5 cm

Area = L*W = 6*5 = 30 cm²

Area of rectangle with the following dimensions:

length (L) = 6 cm, width (W) = 3 cm

Area = L*W = 6*3 = 18 cm²

Surface area of the net = 12 + 24 + 30 + 18 = 84 cm²

Answer:

21

Step-by-step explanation:

Answer:

A. 15%

Step-by-step explanation:

Answer:

-1<x<9

(I think you notated it wrong, it should be |x-4|-2<3)

Answer:

9.1 or 10 weeks

Step-by-step explanation:

First you need to create an equation: 150 + 45w = 560

You need to get the w by itself. To do this we need to take 150 from both sides: 150 (-150) + 45w = 560 (-150)

45w = 410

Now we have to divide both sides by 45:

w = 9.1

So it took Briyana just over 9 weeks to save $560 for spring break

I hope this helps  

Let's work this out using the inequality it suggests.

We can use the form [tex]y=mx+b[/tex], but have the equals sign substitute out for whatever sign we need.

When you need to buy something, do you need to have more, less, or the same amount of money to buy something?

You need to have at least the same amount of money.

Which means that we'll be using the ≥ sign.

[tex]y\geq mw+b[/tex]

Now let's substitute in some values we know.

She has 150 to start off with, think of this as the y-intercept of the graph.

What variable represents the y-intercept?

You should've said b.

[tex]y\geq mw+150[/tex]

Now how much is she saving her week? $45.

Since this is how much she's saving every week, this represents the slope.

[tex]y\geq 45w+150[/tex]

Now, we can solve this plugging in 560 for [tex]y[/tex], which is how much money she needs.

[tex]560\geq 45x+150[/tex]

[tex]410\geq 45w[/tex]

[tex]\frac{82}{9}\geq w[/tex]

[tex]\frac{82}{9}[/tex] is 9.111 (repeating), but we need to round up to the nearest whole number because she probably doesn't deposit money constantly during the week, and rather all at once.

Which means that she needs to save money for 10 weeks to have enough money for the spring break trip.

Hope this helps.

頑張って!

Answer : -Idenify the slope, and the y-intercept, then graph.

-Find the x - and y - intercept and then graph.

Step-by-step explanation:

Options (C) identify the slope and y - intercept and then graph and (D) find the x and y intercepts and then graph are the correct answers.

A line graph is a graph formed by segments of straight lines that join the plotted points that represent given data. The line graph is used to solve changing conditions, often over a certain time interval.

For the given situation,

The line graph consists of a horizontal x-axis and a vertical y-axis.

Methods to graph a line are

Hence we can conclude that options (C) identify the slope and y - intercept and then graph and (D) find the x and y intercepts and then graph are the correct answers.

Learn more about line graph here

https://brainly.com/question/23680294

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Answer:

[tex]\huge\boxed{\mathrm{Yes.}}[/tex]

Step-by-step explanation:

If the two lines are perpendicular, Multiplying their slopes must give the result of -1.

=> [tex]\sf -\frac{2}{9} * \frac{9}{2}[/tex]

=> -1

Since, the result of multiplying these slopes give -1, So, the two lines are perpendicular.

Answer : 4.5 × 10⁴ square inches can be washed per hour.

Step-by-step explanation :

As we are given that an area can be washed at a rate of 4,900 cm²/min. Now we have to determine the square inches can be washed per hour.

Given conversions are:

1 cm = 0.39 in    and    1 hr = 60 min

As, 1 cm² = (0.39)² in²    and    1 min = 1/60 hr

So, [tex]1cm^2/min=(0.39)^2\times 60in^2/hr[/tex]

[tex]1cm^2/min=9.126in^2/hr[/tex]

Now we have to determine the square inches can be washed per hour.

As, [tex]1cm^2/min=9.126in^2/hr[/tex]

So, [tex]4900cm^2/min=\frac{4900cm^2/min}{1cm^2/min}\times 9.126in^2/hr=44717.4in^2/hr=4.5\times 10^4in^2/hr[/tex]

Therefore, 4.5 × 10⁴ square inches can be washed per hour.

Answer:

d

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

For any real number x, if x > 0 then |x| = x and if x < 0 then |x| = -x. In this case, x < 0 so |-7| = -(-7) = 7.

Answer:

answer is 7

Step-by-step explanation:

if its a negative, its always the positive of that number....if that makes sense

Answer:

Options 2, 3, and 4

Step-by-step explanation:

So overall Dominique gets $3 plus $1.25/mile and totals out $11.75

If we call the miles driven x, like they say, then the equation for earnings is:

1.25x+3=11.75

or some variation of that. We can see that as option 4, but a closer look at the other options shows us that options 2 and 3 are also true. These choices are simply the original equation correctly multiplied by a factor of 2 (the other options are incorrect multiplications).

So those are our answers.

Answer:

24x^7 y^4 √7y

Step-by-step explanation:

The value of expression would be 24x⁷y⁴√7y  which is determined by simplification of the given expression  8 √63x¹⁴y⁹.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have been the given expression as :

8 √63x¹⁴y⁹

We can simplify as:

⇒ 8 √63x¹⁴y⁹

The square root of a number is a number that can be multiplied by itself and gives the actual number.

⇒ 8 √[3×3×7( x⁷)²x (y⁴)² y]

Assume x and y are nonnegative.

⇒ 24x⁷y⁴√7y

Hence, the value of expression would be 24x⁷y⁴√7y.

Learn more about the algebraic expression here :

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Answer:

[tex]\frac{xy^{3}}{25}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5x^6y^6}{125x^5y^3}[/tex]

Required

Simplify the given expression

[tex]\frac{5x^6y^6}{125x^5y^3}[/tex]

Start by applying law of indices

[tex]\frac{5x^{6-5}y^{6-3}}{125}[/tex]

[tex]\frac{5xy^{3}}{125}[/tex]

Divide numerator and denominator by 5

[tex]\frac{xy^{3}}{25}[/tex]

Hence; the expression is equivalent to [tex]\frac{xy^{3}}{25}[/tex]