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2 years ago

14

Multiple samples of students were asked four questions , with the sampling variablility of their answers to question 3 being the

highest . Question 2 had the second highest sampling variability, question 1 came next , and finally question 4 had the lowest sampling variability, the answers to which of the questions are most reliable?

1 answer:

OleMash [197]2 years ago

3 0

Answer:

Question 1

Step-by-step explanation

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Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Funct

expeople1 [14]

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

$\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}$

Function B:

$y = -4.5x + 15$

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (1.5,5)$

$(x_2,y_2) = (2.5,0)$

So, we have:

$m = \frac{0-5}{2.5 - 1.5}$

$m = \frac{-5}{1}$

$m = -5$

For function B

The general function is:

$y = mx + b$

Where

m is the rate of change

By comparing $y = mx + b$ to $y = -4.5x + 15$

$m = -4.5$

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

4 0

3 years ago

What is the length of the line segment whose endpoints are (1, 1) and (3, - 3)

Shtirlitz [24]

Answer:

length= √[ (a-c)^2 + (b-d)^2 ]

Step-by-step explanation:

5 0

2 years ago

What are two ways to rewrite the following expression?<br> 5 + b

Akimi4 [234]

Answer:

1(5+b) or 2+3+b

hope this helps

have a good day :)

Step-by-step explanation:

6 0

3 years ago

What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0

Tom [10]

Answer:

$x=\frac{-7-\sqrt{5}}{2}$ or $x=\frac{-7+ \sqrt{5}}{2}$

Step-by-step explanation:

The given equation is

$(2x+3)^2+8(2x+3)+11=0$

Let us treat this as a quadratic equation in $(2x+3)$ .

where $a=1,b=8,c=11$

The solution is given by the quadratic formula;

$(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}$

We substitute these values into the formula to obtain;

$(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}$

$(2x+3)=\frac{-8\pm \sqrt{64-44} }{2}$

$(2x+3)=\frac{-8\pm \sqrt{20} }{2}$

$(2x+3)=\frac{-8\pm2\sqrt{5} }{2}$

$(2x+3)=-4\pm \sqrt{5}$

$(2x+3)=-4-\sqrt{5}$ or $(2x+3)=-4+ \sqrt{5}$

$2x=-3-4-\sqrt{5}$ or $2x=-3-4+ \sqrt{5}$

$2x=-7-\sqrt{5}$ or $2x=-7+ \sqrt{5}$

$x=\frac{-7-\sqrt{5}}{2}$ or $x=\frac{-7+ \sqrt{5}}{2}$

5 0

3 years ago

The amount of garbage, G produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is mea

barxatty [35]

Alright, so this is simple.

P= 50,000 or 50 thousands

G= 13 Tons

The variable f isn't known.

So your equation would be 13 = 50 (f), if you were to put your known variables in the equation.

If you were to find variable f, you would divide 13 tons by 50,000 to get 0.00026 or in scientific notation: 2.6 x 10 (exponent(s):-4)

5 0

3 years ago