On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for trials of this experiment.

170, 206, 218, 232, 238, 248, 254, 264, 268, 281, 281, 281, 316, 320, 320, 329, 336, 365, 399, 400, 438, 438, 452, 524, 724, 806

1. measures of central tendency do not exist for this data set?
a. Mean
b. Median
c. Mode
d. None of these measures

2. Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. Which measures of central tendency would be affected by the change? Choose all that apply.

Answer:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n-values of normal variable:

Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is [tex]M = n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]

Calls to a customer service center last on average 2.8 minutes.

This means that [tex]\mu = 2.8[/tex]

75 calls each day.

This means that [tex]n = 75[/tex]

What is the expected total amount of time in minutes the operator will spend on the calls each day

This is M, so:

[tex]M = n\mu = 75*2.8 = 210[/tex]

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

Grapefruit=108

Orange=100

Apple=90

a) (108-90)/90*100 = 18/90*100=20%

b) (108-90)/108= 18/108*100=16 2/3%

Answer:

The grapefruit is 20% heavier than the orange:)

Step-by-step explanation:

Let the weight of orange be x.

This means that the weight of grapefruit is:

       1.08x

( Since grapefruit is: 8% heavier than orange )

Also, the weight of apple is 10% lighter than apple.

This means that the weight of apple is: 0.90 x

Answer:

Step-by-step explanation:

Answer:

this probability is 0.68

Step-by-step explanation:

the probability she buys fruit but not a CD is

0.6 × (1 - 0.2) = 0.48

the probability she buys a CD by not fruit is

0.2 × (1 - 0.6) = 0.08

the probability that she buys both is

0.6 × 0.2 = 0.12

the probability that she buys fruit or a CD or both is adding all 3 probabilities :

0.48 + 0.08 + 0.12 = 0.68

Answer: PiN, Pi/3+2PiN, 5Pi/3+2PiN

Step-by-step explanation: Use formula sheet

Answer:

Step-by-step explanation:

11.04 = 10(1.02)^n

1.104 = 1.02^n

ln 1.104 = ln 1.02^n

ln 1.104 = n ln 1.02

n = ln 1.104/ ln 1.02

n = 4.99630409516

4.99 can be rounded to 5.

So a reasonable domain would be 0 ≤ x < 5

PART B)

f(0) = 10(1.02)^0

f(0) = 10(1)

f(0) = 10

The y-intercept represents the height of the plant when they began the experiment.

f(1) = 10(1.02)^1

f(1) = 10(1.02)

f(1) = 10.2

(1, 10.2)

f(5) = 10(1.02)^5

f(5) = 10(1.1040808)

f(5) = 11.040808

f(1)=10(1.02)^1

f(1)=10.2

Average rate= (fn2-fn1)/(n2-n1)

                     =11.04-10.2/(5-1)

                    =0.22

the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.  

Answer: True

Explanation:

Let point G be the center of both the hexagon and the circle.

The measure of arc AB is the same as central angle AGB, both of which are 360/6 = 60 degrees. This applies to the other arc measures as well. The full 360 degree circle is split up into 6 equal pieces, each piece being 60 degrees.

Answer:

True.

Step-by-step explana

-4/5 + 4/5 is 0

Answer:

3:1

Step-by-step explanation:

90:30 simplified is 3:1

An obvious substitution would be to take u = x - y and v = x + 2y, so that 0 < u < 1 (which follows from y = x   ==>   x - y = 0 and y = x - 1   ==>   x - y = 1), and 0 < v < 1.

Solve for x and y in terms of u and v :

u - v = (x - y) - (x + 2y) = -3y   ==>   y = (v - u)/3

2u + v = 2 (x - y) + (x + 2y) = 3x   ==>   x = (2u + v)/3

Compute the Jacobian and its determinant:

[tex]J=\begin{bmatrix}D_ux&D_vx\\D_uy&D_vy\end{bmatrix}=\begin{bmatrix}\dfrac23&\dfrac13\\\\-\dfrac13&\dfrac13\end{bmatrix} \implies |\det(J)|=\dfrac13[/tex]

Now in the integral, we have

[tex]\displaystyle\iint_R\frac{x+2y}{\cos(x-y)}\,\mathrm dx\,\mathrm dy = \frac13\int_0^1\int_0^1\frac{v}{\cos(u)}\,\mathrm du\,\mathrm dv \\\\ \displaystyle= \frac13\left(\int_0^1v\,\mathrm dv\right)\left(\int_0^1\sec(u)\,\mathrm du\right) \\\\ \displaystyle= \frac13\bigg(\frac{v^2}2\bigg)\bigg|_0^1\bigg(\ln|\sec(u)+\tan(u)|\bigg)\bigg|_0^1 \\\\ \displaystyle= \boxed{\frac16\ln(\sec(1)+\tan(1))}[/tex]

Answer:

B, 4x6x7 and 1x3x3.

Step-by-step explanation:

First, remember the formula: V=LWH (Volume equals length times width times height). Lastly, find the equations that match that formula, therefor B, 4x6x7 and 1x3x3 matches the formula, so B  is your correct answer.

Answer:

mug = 4

plate = 7

Step-by-step explanation:

10 x + 2y =54

8x + 2y = 46

2x = 8

x = 4

2y = 14

y = 7

Answer:

Below in bold.

Step-by-step explanation:

x + y = 33      where x = 10 cent coin and y = 20 cent coin

10x + 20y = 460

Multiply first equation by 10:

10x + 10y = 330

Subtract this from the second equation:

10y = 130

y = 13

So there are 13 20c coins

and 33 - 13 = 20 10c coins.

Answer:

3 divided by 7 and x=-1.5*x

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

You were right to divide 55 by 163. The problem, however, asks for the answer to be rounded to the nearest tenth.

Therefore, 55 / 163 = 0.3374 = 33.7%

Hope this helps!

Answer:

I. m = 2401

II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

Step-by-step explanation:

I. Determination of m

x ∆ y = x² − 2xy + y²

2 ∆ − 5 = √m

2² − 2(2 × –5) + (–5)² = √m

4 – 2(–10) + 25 = √m

4 + 20 + 25 = √m

49 = √m

Take the square of both side

49² = m

2401 = m

m = 2401

II. Simplify ((n+1) ∆ y)/n

We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:

x ∆ y = x² − 2xy + y²

(n+1) ∆ y = (n+1)² – 2(n+1)y + y²

(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²

(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1

(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1

(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1

(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1

(n+1) ∆ y = (n – y + 2)(n – y) + 1

((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n

((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

Answer:

64.2 minutes

Step-by-step explanation:

We are given that

Shen set timer to run=93 minutes

He has finished his run=69%

We have to find total number of minutes have gone by.

69% of 93

=[tex]\frac{69}{100}\times 93[/tex]

By using

a%[tex]=\frac{a}{100}[/tex]

69% of 93=[tex]\frac{6417}{100}[/tex]

69% of 93=64.17 min

69% of 93[tex]\approx 64.2min[/tex]

Hence, 64.2 minutes have gone by.

The statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.

a quadrilateral is a four-sided polygon, having four edges and four corners.

DEFG is a parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

DF=FG is a true statement.

The diagonal passing through a parallelogram are equal in length.

EF=DG is a true statement

The opposite sides of a parallelogram are equal.

∠DEG ≅ ∠FGE are congruent angles.

Because the opposite angles of a triangle are equal in meausure.

Hence, the statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.

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Answer:

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Answer:

The best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.

Step-by-step explanation:

Best point estimate:

The best point estimate of a population mean is the sample mean.

In this question:

The sample mean amount of money spent for textbooks was $121.60, which means that the best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.

Step-by-step explanation:

6 weeks : 49 days

42 days : 49 days

42/49(HCF is 7, so divide both values by 7)

that will equal to 6/7

a.

Answer:

1170cm^3

Step-by-step explanation:

Break it into two prisms. 5 x 9 x 15 and 11 x 3 x 15. Find the volume of each and add.

(5 x 9 x 15) + (11 x 3 x 15)

675 + 495

1170cm^3

b.

Answer:

846cm^2

Step-by-step explanation:

Add each side's area together.

(9x15) + (5x15) + (6x15) + (3x15) + (12x15) + (11x15) + (5x9) + (5x9) + (11x3) + (11x3)

135 + 75 + 90 + 45 + 180 + 165 + 45 + 45 + 33 + 33

846 cm^2

Answer:

(a)1170 cm^3

(b)846 cm^2

Step-by-step explanation:

(a) Rectangle #1= 11 x 3 = 33 cm^2

Rectangle #2 = 5 x 9 = 45 cm^2

Volume = 45 + 33 = 78 x 15 = 1170 cm^3

(b) First find the surface are of all 8 faces in the prism and then add them all.

1st face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2

2nd face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2

3rd face = 15 x 3 = 45 cm^2

4th face = 15 x 6 = 90 cm^2

5th face = 15 x 9 = 135 cm^2

6th face = 15 x 5 = 75 cm^2

7th face = 15 x 12 = 180 cm^2

8th face = 15 x 11 = 165 cm^2

1st + 2nd + 3rd +4th + 5th+ 6th + 7th + 8th = 846 cm^2

Hope this helps!

Step-by-step explanation:

everything can be found in the picture

Answer:

Hello There!!

Step-by-step explanation:

Museums are regarded as information resources because there are historical things and artifacts there.

hope this helps,have a great day!!

~Pinky~

Step-by-step explanation:

everything can be found in the picture

Answers:

(a) [tex]n = 2(r+m)[/tex]

(b) [tex]n = \frac{h^2}{9}[/tex]

===========================================

Work Shown:

Part (a)

[tex]\frac{n}{2} - m = r\\\\\frac{n}{2} = r+m\\\\n = 2(r+m)[/tex]

In the second step, I added m to both sides. Afterward, I multiplied both sides by 2 to fully isolate n.

------------------------

Part (b)

[tex]3\sqrt{n} = h\\\\\sqrt{n} = \frac{h}{3}\\\\n = \left(\frac{h}{3}\right)^2\\\\n = \frac{h^2}{3^2}\\\\n = \frac{h^2}{9}\\\\[/tex]

First I divided both sides by 3. After that, I squared both sides. The (h/3) squares to (h^2)/9.

Answer:

Step-by-step explanation:

There are not rotational symmetry.

Answer:

The intersection region shown in the graph attached is the solution of the system of inequalities

Answer:

Negative. The answer gives - 5

Answer:

Negative

Step-by-step explanation:

-40/8 is equivalent to -5. Since -5 or "negative five" is negative (as it states), the equation is negative.

The number of times that the band played an encore at 7 out of the next 14 shows.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The band should do an encore at a rate of 2 out of every 4 gigs, or 2/4 = 1/2 shows, according to the available statistics.

We may use the following percentage to determine how many of the following 14 performances will likely have an encore:

1/2 = x/14

14 = 2x

x = 7

Therefore, we can expect the band to play an encore at 7 out of the next 14 shows.

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