An achievement exam was given to a population of 1,000 students. However, a sample of only seven of student scores is listed along with their respective z score and percentile rank in the following table. TEST SCORE 42 57 67 72 77 87 97 z score -1.50 -0.75 -0.25 0 0.25 0.75 1.25 percentile rank 10 25 30 45 50 75 95 Using the table information, the test score representing the 3rd decile is: a. 67 b. 77 c. 57 d. 72 e. 97

Answers

Answer 1

The test score representing the 3rd decile is 67. So the option a is correct.

In the given question, an achievement exam was given to a population of 1,000 students.

However, a sample of only seven of student scores is listed along with their respective z score and percentile rank in the following table.

TEST SCORE      42        57        67        72        77        87        97

z score              -1.50     -0.75    -0.25     0        0.25     0.75     1.25

percentile rank  10         25        30       45        50       75        95

Using the table information, we have to find the test score representing the 3rd decile.

As we know that the 3rd decile is equal to the 30th percentile.

So that the 3rd decile have the percentile rank = 30

The test score equivalent to percentile rank 30 is 67.

So, the test score representing the 3rd decile is 67. So the option a is correct.

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Related Questions

The formula for the area of a triangle is A=12bh. Which equation shows the formula solved for h?

Answers

Answer:

h=1/2Ab

Step-by-step explanation:

An object has a mass of 440 kg and a volume of 11 m3.
Find the density of the object in kg/m3.

Answers

Answer:

40 kg/m³

Step-by-step explanation:

To find the density divide the mass by the volume

440kg / 11 m³ = 40 kg/m³

Answer:

40 Kg/m cube

Step-by-step explanation:

Is algebra.
PLEASE HELP NO LINKS OR FILES.
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I don't want links.

Answers

Question 3 is B

Question 4 is B

Answer:

for question 3 - b

for question 4- b

Step-by-step explanation:

Why 1 [infinity] is not defined?

Answers

1 [infinity] is not defined because infinity is an abstract concept and cannot be used in the same way as numeric values. Infinity is not a number or a numerical value, and therefore it cannot be used in equations or arithmetic operations.

1. Infinity is an abstract concept and cannot be used in the same way as numeric values.

2. Infinity is not a number or a numerical value.

3. Therefore, it cannot be used in equations or arithmetic operations.

4. Therefore, 1 [infinity] is not defined.

1 [infinity] is not defined because infinity is an abstract concept and cannot be used in the same way as numeric values. Infinity is not a number or a numerical value, and therefore it cannot be used in equations or arithmetic operations.

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C is the centroid of △ABD. find the following:
1. If CD = 12, find FC.
2. If BG= 15, find BC.
3. If AE = 21, find EC.
4. If FA = 6, find BA.
5. If CG = 3.5, find BC.​

Answers

Answer:

1. FC = 6

2. BC = 10

3. EC = 7

4. BA = 12

5. BC = 7

Step-by-step explanation:

What is the centroid of a triangle?

the intersection of the medians of a trianglethe medians bisect each side in halfeach median is split in the ratio of 2:1each median has a segment from the vertex to the centroid. that segment is 2/3 the distance from said vertex to the opposite side of said vertexeach median has a segment from the centroid to a side opposite of a vertex. that segment is 1/3 the distance from said vertex to said opposite side

Using the properties of a centroid, we can determine the lengths the problem is asking us for.

1. If CD = 12, find FC.

each median is split in the ratio of 2:1

So if the median we need to look at is FD,

then CD : FC = 2:1

[tex]\frac{CD}{FC} = \frac{2}{1}\\\\\\\\[/tex] . . . . . . . . write the proportion

[tex]\frac{12}{FC} = \frac{2}{1}[/tex] . . . . . . . . . substitute the known values

[tex]12 = 2FC[/tex] . . . . . .  cross multiply

[tex]FC = 6[/tex] . . . . . . divide both sides by 2 to isolate FC

∴ FC = 6

2. If BG = 15, find BC

each median has a segment from the vertex to the centroid. that segment is 2/3 the distance from said vertex to the opposite side of said vertex

So if BG = 15, and BC is the distance from a vertex to the centroid, then BC is 2/3 of BG.

[tex]BC = \frac{2}{2}BG[/tex] . . . . . write equation

[tex]BC = \frac{2}{3}(15)[/tex] . . . . . substitute known values

[tex]BC = \frac{30}{3}[/tex] . . . . . . . . multiply numerators

[tex]BC = 10[/tex] . . . . . .  . . compute

∴ BC = 10

3. If AE = 21, find EC

each median has a segment from the centroid to a side opposite of a vertex. that segment is 1/3 the distance from said vertex to said opposite side

So if AE is the full median, and EC is the distance from the centroid to the opposite side of a vertex, then EC is 1/3 of AE.

[tex]EC = \frac{1}{3}AE[/tex] . . . . . . . . write equation

[tex]EC = \frac{1}{3}(21)[/tex] . . . . . . . . substitute known values

[tex]EC = \frac{21}{3}[/tex] . . . . . . . . . . . multiply the numerators

[tex]EC = 7[/tex] . . . . . . . . . . . . compute

∴ EC = 7

4. If FA = 6, find BA

the medians bisect each side in half

If BA is a side length that is bisected by a median, then FA is 1/2 of BA.

[tex]FA = \frac{1}{2}BA[/tex] . . . . . . . make equation

[tex]FA = \frac{1}{2}(6)[/tex] . . . . . . . . substitute known values

[tex]FA = \frac{6}{2}[/tex] . . . . . . . . . . . multiply the numerators

[tex]FA = 3[/tex] . . . . . . . . . . . compute

∴ FA = 3

5. If CG = 3.5, find BC

each median is split in the ratio of 2:1each median is split in the ratio of 2:1

So if the median we need to look at is BG,

then BC : CG = 2:1

[tex]\frac{BC}{CG} = \frac{2}{1}[/tex] . . . . . . . . . . create the proportion

[tex]\frac{BC}{3.5} = \frac{2}{1}[/tex] . . . . . . . . . . substitute the known values

[tex]BC = 2(3.5)\\[/tex] . . . . . . . . cross multiply

[tex]BC = 7[/tex] . . . . . . . . . . . . . compute

∴ BC = 7

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Use the distributive property to fill in the blanks below. Pls help me :| This is for a grade and today for me is the last day of school :|

Answers

Answer:8 in each box

Step-by-step explanation:

U are multiplying 2 and 7 each by 8

Where is quadrant 4?

Answers

The fourth quadrant, often known as Quadrant IV, is the bottom right quadrant. The x-axis in this quadrant is positive, whereas the y-axis is negative.

Two-dimensional Cartesian axes separate the plane into four infinite areas known as quadrants, each of which is bordered by two half-axes. These are frequently numbered 1 through 4.

90° arc; one-fourth of a circle. the region enclosed by such an arc and two sketched radii, one at each extreme. a component of a machine that has a quarter-circle form.

The x- and y-coordinates are both positive in quadrant I.

The x-coordinate is negative and the y-coordinate is positive in quadrant II.

The x- and y-coordinates are positive in quadrant III.

Quadrant IV: The x-coordinate is positive and the y-coordinate is negative.

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Which expression simplifies to
m-2
—— ?
m-1

Answers

C (m ^ 2 - m - 2)/(m ^ 2 - 1)

Mrs. Hanover borrows $1,413 at a
rate of 5% per year. How much
Simple Interest will she owe if it
takes her 9 months to repay the
loan? Round your answer to the
nearest cent

Answers

well, let's recall that a year has 12 months, so 9 months is really 9/12 of a year

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1413\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (1413)(0.05)(\frac{3}{4}) \implies I = 1413(\frac{3}{80})\implies I\approx 52.99[/tex]

You can read 12 pages of a book in 15 minutes.
How many hours will it take you to read a 312-page book?

Answers

It will take you 6.5 hours to read a 312-page book

How many hours will it take you to read a 312-page book?

From the question, we have the following parameters that can be used in our computation:

Rate = 12 pages of a book in 15 minutes

This means that

Rate = 12 pages/15 minutes

Convert to per hour

Rate = 12 pages/0.25 hour

Evaluate

Rate = 48 pages per hour

For a 312-page book, we have

Time = 312 pages/48 pages per hour

Evaluate

Time = 6.5 hours

Hence, the time is 6.5 hours

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What is the value of S3= infinity sigma n-1 5(1/3)^n-1

Answers

It’s 48 because if do this then do that you get

Evie practices her violin for exactly
310 minutes each week. On Monday, she
practices twice as long as she does on
Tuesday. On Thursday, she practices the
same number of minutes as Tuesday. On
Saturday, she practices 5 fewer minutes
than three times her Tuesday practice.
How many minutes does Evie practice on
Monday?

Answers

On Monday, Evie practices 2T = 2*45 = 90 minutes.

Define percentage.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Define Fraction.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Let's call the amount of time Evie practices on Tuesday T.

On Monday, she practices twice as long as she does on Tuesday, so she practices 2T minutes.

On Thursday, she practices the same number of minutes as Tuesday, so she practices T minutes.

On Saturday, she practices 5 fewer minutes than three times her Tuesday practice, so she practices 3T-5 minutes.

We know that Evie practices 310 minutes in total in a week.

So we can set up an equation:

T + 2T + T + 3T-5 = 310

7T-5 = 310

7T = 315

T = 45

On Monday, Evie practices 2T = 2*45 = 90 minutes.

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HELP ME PLEASE :( I’m confused

Answers

Answer:

11) I haven't done these yet don't go by my answers wait for more responses.

So if TR looks exactly half way from the middle and it says its 11, and if PS is basically two of TR then it would be 22. It looks to me that TR is 11 which is exactly half way I think, and PS looks double of TR so 2 x 11 = 22. Please go by the way you learned i don't know if I'm right.

12) If MK is exactly straight and its 10, half of 10 would be 5. I did half of 10 because L to M looks as if it is 10 already but since its L to the point in the middle that would be half way of the total line from L to M. So L to the point must be 5, MK is already given which is 10 so now we add 5 since L to the point in the middle is half way of 10 which is 5.

10(MK) + 5(L to the point in the middle of the circle) = 15

I don't want to be the one who brings your grades down so do by the way you learned.

Macy has a circular pool with a diameter of 18 feet. If she swims around the pool 4 times, find the distance she will travel.

Answers

Answer:

About 226 feet.

Step-by-step explanation:

C = πd

C = π * 18 = 56.5486678

56.5486678 * 4 = 226.194671

On a number line, suppose point E has a coordinate of -3 and EG=4. What are the possible coordinates of point G?

Answers

Answer:

[tex]-1\frac{1}{3}[/tex]

Step-by-step explanation:

We can approach this equation algebraically. Since we know E = -3, we can substitute it into our Second equation, giving us:

-3G = 4

Divide both sides by 3 gives us :

G = [tex]-\frac{4}{3}[/tex]  =  [tex]-1\frac{1}{3}[/tex]

So, the possible coordinate of G is [tex]-1\frac{1}{3}[/tex].

Hope this helped!

2) What is the additive inverse of 4,000,000 ?
a) 4,000,000
b) -4,000,000

Answers

Answer:

B

Step-by-step explanation:

Answer:

(b) -4,000,000

Step-by-step explanation:

Additive inverse is what you add to a number to make the sum zero. In other words, we just need to change the sign of the number to find its additive inverse, from - to + and from + to -

How is the graph of y=3x^2+3 different from the graph of y=3x^2

Answers

Answer:

Step-by-step explanation:

y=3x^2 has a parabolic graph with its vertex at the origin, (0, 0).

y=3x^2 + 3 has the same graph shape, but its vertex and every other point are 3 units higher (away from the origin) up.

You buy clothing at a sale. You buy sneakers at 2 3 of their original price of $60, a sweater at 7 10 of its original price of $35, and a jacket at 5 6 of its original price of $45. Answer each question and show all your work. How much money did you spend

Answers

We spent a total of 40.2 + 24.5+ 37.8 = $102.50

Explain about the fractions?

A fraction is a metric unit for describing a piece or component of a whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator. The number at the top is the numerator, and the number at the bottom is the denominator.

Fractions are used to represent the parts of an entity or collection of entities. The components of a fraction are two. The figure at the top of the line is the numerator. It provides information on how many equal sections from the total or collection were taken. The number that appears below the line is the denominator.

We multiply the initial price by the fractions' decimal conversions to determine how much we spent. The quantities are then combined.

You purchased sneakers for $60 and paid 2/3 of that amount, or $0.6666, for a total of $40.20, saving $19.80.

Sweater costs $35 and you paid $7.50 for it, saving you $10.50. 35(0.7)=$24.50.

You paid $45 for a jacket, and since 5/6=0.8333, 45(0.84)=$37.80, you made a $7.20 profit.

We spent a total of 40.2 + 24.5+ 37.8 = $102.50

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If 1 and -2 are zeroes of x^2+ax+b=0. Find a and b. First and correct answer will be marked brainliest.

Answers

Answer:

a = 1, b = -2

Step-by-step explanation:

You are given values of x are 1 and 2 when the equation is 0

To solve the problem substitute the values of x into the equation

For x =1

1^2 + a(1) + b = 0

1 + a + b = 0

a+b = -1(call this equation i)

For x = -2

-2^2 + a(-2) + b = 0

4 - 2a + b = 0

-2a + b = -4 (call this equation ii)

Now solve equation i and ii simultaneously to get values of a and b.

a+b = -1

-2a+b = -4

By elimination method (also you can solve by substitution method) subtract equation ii from equation i, we get

3a = 3

Divide 3 both sides, you get

a = 1

Take the value of a above substitute it into either equation i or ii to get the value of b

Here i considered equation i

a + b = -1

1 + b = - 1

b = - 1 - 1

b = -2

Therefore a = 1, b = -2

Are you sure has 55 coins in her purse the coins consist of only dimes and quarters the total value of the coins is $10 how many dimes does it should happen how many quarters does Asia have?

Answers

Answer:

40

Step-by-step explanation:

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I keep getting this question wrong. Anyone can help me answer what the answer is?

Answers

I believe it is 4 i hope this is right :/
It’s 4 I did this test hope I helped

HELP ME PLS ILL GIVE YOU BRAINLIST

Answers

I don’t know I’m sorry …

... due tomorrow... help pls

Answers

588(pie) cm^2 - answer

SHOW WORK 10 POINTS!

Answers

Answer: 57x 38= 2166.  71x38= 2698.      31x25= 775            75x47= 3525        63x59=3717

Step-by-step explanation:

4 Select the correct answer. Annabelle wanted to find out how many people in her neighborhood were going to the rock concert over the weekend. She asked a couple of her immediate neighbors. On the basis of the answers she got, she drew her conclusion. What kind of statistical investigation did Annabelle perform

Answers

Annabelle collected data from a sample of people that were convenient for her to access, such as her immediate neighbors, and used this to draw her conclusion.

Annabelle performed a convenience sample investigation, which is a type of statistical investigation. This involves collecting data from a sample of people that are convenient for the researcher to access. In this case, Annabelle asked a couple of her immediate neighbors to find out how many people in her neighborhood were going to the rock concert..

Convenience sampling is useful when time or resources are limited, however the results may not be representative of the larger population. Therefore, it is important to consider the limitations of the sample when drawing conclusions. For example, Annabelle may not have considered that the neighbors she asked may not be representative of the whole neighborhood.

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The scale on a map of Florida is 2 inches = 50 miles. What is the distance in miles
represented by a length on the map of 7 inches?

Answers

The distance in miles represented by a length on the map of 7 inches is 0.28

What is scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

Given;

The scale of a map says that 2 inches represents 50 miles.

2 inches = 50 miles

1 Mile = 2/50 inches

Hence, 7 Mile = 7 * 2/50 inches

7 Mile = 14/50 inches

7 Mile = 0.28 inches

Therefore, the scale factor of 7miles in the map will be 0.28inches

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plz help lol i’m stuck

Answers

Answer:

the length of arc=

[tex]2\pi \times 6 \times \frac{60}{360} \\ 2\pi[/tex]km

Beth and Amy's tennis coach is picking 2 athletes from the 10 on the tennis team to speak at an assembly. What is the probability the coach will pick Beth and Amy?

Answers

Answer:

Is it beth AND amy or Beth OR Amy?

Write the equation of the line that passes through the points (6, 1) and
(6, -8). Put your answer in fully simplified point-slope form, unless it
is a vertical or horizontal line.

Answers

something noteworthy is that the x-coordinate is the same for each point, so Check the picture below.

Hector earns $12 an hour plus a daily per diem of $15. This week he worked 4 days and earned a total of 444. Write an equation to find how many hours
Hector worked this week.
Enter the correct answer in the box.

Answers

Answer:

Step-by-step explanation:

12h + 15(4) = 444

12h + 60 = 444

12h = 444 - 60

12h = 384

h = 384/12

h = 32 <===== Hector worked 32 hrs

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