MATHEMATICS COLLEGE

The archaeological site of Tara is more than 4000 years old. Tradition states that Tara was the seat of the high kings of Ireland. Because of it's archaeological importance, Tara has received extensive study (Reference: Tara: An Archaeological Survey by Conor Newman, Royal Irish Academy, Dublin). Suppose an archaeologist wants to estimate the density of ferromagnetic artifacts in the Tara region. For this purpose, a random sample of 55 plots, each of size 100 square meters, is used. The number of ferromagnetic artifacts for each plot is determined.

Answers

Answer 1
Answer:

Answer: Hello your question is incomplete attached below is the complete question.

answer:

a) The number of ferromagnetic artifacts per 100 square meters ( option A )

b) quantitative  ( option D )

c) Entire Tara region ( option A )

Step-by-step explanation:

a) Determine The Variable

The number of ferromagnetic artifacts per 100 square meters

b) The Variable is quantitative

This is because the variable used in the study has numerical value attached to it hence we can say it is a quantitative variable.

c) The implied population

Entire Tara region

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Molly is at the Ice Cream Store. To get there, she went 1 unit right and 7 units down. Which location did Molly start from?

Answers

Answer:

To get to the ice cream store, Molly went 1 unit right and 7 units down. This means that she moved 1 unit to the right from her original position and 7 units down from her original position.

So, to find Molly's starting position, we need to move 1 unit to the left from the ice cream store and 7 units up from the ice cream store.

Therefore, Molly started from a location that is 1 unit to the left and 7 units up from the Ice Cream Store.

Step-by-step explanation:

The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) μ and standard deviation σ=0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but you believe that the mean nicotine content is actually higher than advertised. To explore this, you test the hypotheses H0:μ=1.5, Ha:μ>1.5 and you obtain a P-value of 0.052. Which of the following is true? A. At the α=0.05 significance level, you have proven that H0 is true. B. This should be viewed as a pilot study and the data suggests that further investigation of the hypotheses will not be fruitful at the α=0.05 significance level. C. There is some evidence against H0, and a study using a larger sample size may be worthwhile. D. You have failed to obtain any evidence for Ha.

Answers

Answer:

Step-by-step explanation:

This is a test of a single population mean since we are dealing with mean.

From the information given,

Null hypothesis is expressed as

H0:μ=1.5

The alternative hypothesis is expressed as

Ha:μ>1.5

This is a right tailed test

The decision rule is to reject the null hypothesis if the significance level is greater than the p value and accept the null hypothesis if the significance level is less than the p value.

p value = 0.052

Significance level, α = 0.05

Since α = 0.05 < p = 0.052, the true statement would be

At the α=0.05 significance level, you have proven that H0 is true. B.

What is the difference? StartFraction x Over x squared + 3 x + 2 EndFraction minus StartFraction 1 Over (x + 2) (x + 1) EndFraction
StartFraction x minus 1 Over 6 x + 4 EndFraction
StartFraction negative 1 Over 4 x + 2 EndFraction
StartFraction 1 Over x + 2 EndFraction
StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction

Answers

Answer:

The answer is option D.

Step-by-step explanation:

First we must first find the LCM

The LCM of x² + 3x + 2 and (x + 2)(x + 1 ) is

x² + 3x + 2

So we have

\frac{x}{ {x}^(2) + 3x + 2 } - (1)/((x + 2)(x + 1)) \n \n = \frac{x - 1}{ {x}^(2) + 3x + 2 }

Hope this helps you

Answer:

The answer is OPTION D!

Step-by-step explanation:

HoPe ThIs HeLpS!

Use the data set to create a quadratic function if it applies. Use the model to predict the value of x when y = -4. (-3, 10), (0, 4), (3, -1), (6, -5), (9, -8)


Question 3 options:

A)

29.32 and 3.97


B)

32.27 and 4.57


C)

27.48 and 5.20


D)

No Solution

Answers

Answer:

The closest choice is ...

C)  27.48 and 5.20

Step-by-step explanation:

Using the equation ...

  y = ax² + bx + c

You can substitute the first three points to get linear equations in a, b, and c.

  10 = a(-3)² +b(-3) +c = 9a -3b +c

  4 = a(0)² + b(0) +c = c

  -1 = a(3)² + b(3) +c = 9a +3b +c

The second equation tells us c=4. Subtracting the first equation from the last, we get ...

  (9a +3b +c) -(9a -3b +c) = (-1) -(10)

  6b = -11

  b = -11/6

Then we can find "a" from the first equation:

  10 = 9a -3(-11/6) +4

  1/2 = 9a . . . . subtract 19/2

  1/18 = a . . . . . divide by 9

The model is ...

  y = (1/18)x² -(11/6)x +4 . . . . . . . . [call this "model A"]

  y = (x² -33x +72)/18

Solving this for y = -4, we have ...

  -4 = (x² -33x +72)/18

  x² -33x +144 = 0 . . . . . . multiply by 18, add 72

  (x -16.5)² -128.25 = 0 . . . . put in vertex form

  x = 16.5 ±√128.25 ≈ {5.17525, 27.8248}

___

The closest values to these among the choices offered are those of choice C. It appears that the coefficients of model A were rounded to 3 decimal places (or so) before the predicted x-values were computed.

You are relieved from your position as a machine operator at the plant at 11:25 for a 50-minute lunch break. When must you begin working again.

Answers

Answer:

12:15

Step-by-step explanation:

A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given: 50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45 The following histogram is a representation of the data. Calculate the median ages

Answers

What you have to do to find the median of the data is first put that data into order numerically. You can go largest to smallest or smallest to largest, it doesn't matter.   

22, 24, 28, 28, 30, 31, 31, 32, 32, 35, 36, 37, 38, 41, 42, 42, 44, 44, 45, 46, 46, 47, 47, 49, 50

Once you put them into order, you count towards the middle. You have 25 data points, so the middle, which will be your median number, will be 13 points in. 

The median is 38
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