An investigator has a file showing family incomes for 1000 subjects in a certain study. These range from $6,000 a year to 90,000 a year. By accident, the highest income in the file gets changed to $900,000. Does this affect the average

Answers

Answer 1

Answer:

Yes it does

Step-by-step explanation:

The average is shifted to higher side if higher number is present in a data set.

suppose the following set of data

20, 40 , 60, 100

avergae of data= (20+40+60+100)/ 4 = 55

now suppose following set of data

20,40,60,1000

average of data= (20+40+60+1000)/4= 280


Related Questions

Complete the proof to show that ABCD is a parallelogram. On a coordinate plane, quadrilateral A B C D is shown. Point A is at (negative 2, negative 2), point B is at (negative 3, 4), point C is at (2, 2), and point D is at (3, negative 4). The slope of Line segment B C is StartFraction 4 minus 2 Over negative 3 minus 2 EndFraction = negative two-fifths The slope of Line segment A D is StartFraction negative 4 minus (negative 2) Over 3 minus (negative 2) EndFraction = StartFraction negative 4 + 2 Over 3 + 2 EndFraction = negative two-fifths The slope of Line segment C D is StartFraction 2 minus (negative 4) Over 2 minus 3 EndFraction = StartFraction 2 + 4 Over 2 minus 3 EndFraction = StartFraction 6 Over negative 1 EndFraction = negative 6 The slope of Line segment B A is StartFraction 4 minus (negative 2) Over negative 3 minus (negative 2) EndFraction = StartFraction 4 + 2 Over negative 3 + 2 EndFraction = StartFraction 6 Over negative 1 EndFraction = negative 6 and because the ________________________________. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.

Answers

Answer:

Slopes of parallel lines are equal

Step-by-step explanation:

On a coordinate plane, quadrilateral ABCD is shown. Point A is at (-2, -2), point B is at (-3, 4), point C is at (2, 2), and point D is at (3, -4).

The slope of the line segment BC is:  

[tex]\dfrac{4-2}{-3-2} =-\dfrac{2}{5}[/tex]

The slope of the line segment AD is:

[tex]\dfrac{-4-(-2)}{3-(-2)} =\dfrac{-4+2}{3+2}=-\dfrac{2}{5}[/tex]

The slope of the line segment CD is:

[tex]\dfrac{2-(-4)}{2-3} =\dfrac{2+4}{2-3}=\dfrac{6}{-1}=-6[/tex]

The slope of the line segment BA is:

[tex]\dfrac{4-(-2)}{-3-(-2)} =\dfrac{4+2}{-3+2}=\dfrac{6}{-1}=-6[/tex]

Because the slopes of parallel lines are equal. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.

Answer:

c.) on edg.

Step-by-step explanation:

got it right :)

At a computer store, a customer is considering 9 different computers,10 different monitors,8 different printers and 2different scanners. Assuming that each of the components is compatible with one another and that one of each is to be selected. Determine the number of different computer systems possible.

Answers

Answer:

The number of different computer systems possible is 1440.

Step-by-step explanation:

For each computer, there are 10 options of monitor.

For each monitor, there are 8 printers.

For each printer, there are 2 scanners.

There are 9 computers.

Determine the number of different computer systems possible.

9*10*8*2 = 1440

The number of different computer systems possible is 1440.

Ajar contains 2 red marbles, 3 blue marbles, and 1 green marble. What is the probability of
selecting a red marble?

Answers

Answer:

Ajar has 6 marbles and 2 marbles. the probability of selecting a red marble is 2/6, or 1/3 when simplified

Answer:

1/3

Step-by-step explanation:

total number of marbles: 2 + 3 + 1 = 6

number of red marbles = 2

The probability of an event is the number of desired outcomes divided by the total number of possible outcomes.

number desired outcomes: 2 since there are 2 red marbles, and either one is a desired outcome

total number of possible outcomes: 6

p(red) = 2/6 = 1/3

Answer: 1/3

Suppose there are 15 jelly beans in a box—4 red, 1 blue, 4 white, and 6 green. A jelly bean is selected at random. What is the probability that the jelly bean is red or blue? (Round your answer to the nearest whole number.) The probability that the jelly bean is red or blue is %.

Answers

Answer:

33% chance

Step-by-step explanation:

Well first we have to create a fraction so we can convert to percent.

It wants us to figure out what the probability will be that a red or blue jelly bean is selected, so we need to add up the blue and red jelly beans.

[tex]\frac{1}{15} + \frac{4}{15}[/tex] = [tex]\frac{5}{15}[/tex]

Now we need to convert this to percent. Work:

5 ÷ 15 = 0.33333333333

0.33333333333 ÷ 10 = 0.33

0.33 = [tex]\frac{33}{100}[/tex] = 33%

Therefore there is a 33% chance that the jelly bean picked will be red or blue.

The probability that the jelly bean picked is red or blue is 33%.

The probability that the jelly bean is either red or blue is calculated by dividing the number of jelly beans that are either red or blue by the total number of jelly beans.

= (Total number of red and blue jelly beans) / Total number of jelly beans

= (4 + 1) / (4 + 1 + 4 + 6)

= 5 / 15

= 1/3

= 33 %

In conclusion, the probability that the jelly bean that was picked is either red or blue is 33%.

Find out more at https://brainly.com/question/594813.

There are three highways in the county. The number of daily accidents that occur on these highways are Poisson random variables with respective parameters 0.3, 0.5, and 0.7.

Required:
Find the expected number of accidents that will happen on any of these highways today.

Answers

Answer:

50% Chance

Step-by-step explanation:

So Pr(0.3, 0.5, and 0.7) = (30% + 50% + 70%) / 300

= 1/2

Which of the following could not be points on the unit circle?


(view photo for options) ​

Answers

Answer:

  A, C

Step-by-step explanation:

For a point to be on the unit circle, it must be a solution to ...

  x² +y² = 1

__

The sums of squares of the x- and y-values are ...

  A: 1² +1² = 2 . . . not on the circle

  B: (-2/3)² +(√5/3)² = (4+5)/9 = 1

  C: (√3/2)² +(-1/3)² = 3/4 +1/9 = 31/36 . . . not on the circle

  D: 0.8² +(-0.6)² = .64 +.36 = 1

Points A and C do not lie on a unit circle.

Match the name of the sampling method descriptions given

Situations

- Pulling 50 names from a hat
- Asking your 20 closest friends
- Separating all students by grade level, and selecting 10 students from each grade
- Call every 15th phone number on every 5th page of the phone book
- Dividing by population by voting precinct, and sampling everyone in the precints selected

Sampling Method:
a. Cluster
b. Convenience
c. Stratified
d. Systematic
e. Simple Random

Answers

Answer:

- Pulling 50 names from a hat. <-> e. Simple Random

- Asking your 20 closest friends <->  b. Convenience

- Separating all students by grade level, and selecting 10 students from each grade <->  c. Stratified

- Call every 15th phone number on every 5th page of the phone book <->  d. Systematic

- Dividing by population by voting precinct, and sampling everyone in the precints selected <->  a. Cluster

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

- Pulling 50 names from a hat

All options in the hat and pick some of them. So Simpel Rando.

- Pulling 50 names from a hat. <-> e. Simple Random

- Asking your 20 closest friends

Closest friends lead to convenience. so

- Asking your 20 closest friends <->  b. Convenience

- Separating all students by grade level, and selecting 10 students from each grade

Divided the population into groups, and choose some from each group. Stratified.

- Separating all students by grade level, and selecting 10 students from each grade <->  c. Stratified

- Call every 15th phone number on every 5th page of the phone book

Every kth person. Systematic.

- Call every 15th phone number on every 5th page of the phone book <->  d. Systematic

- Dividing by population by voting precinct, and sampling everyone in the precints selected

Division into groups, and choosing everyone from each group. Cluster

- Dividing by population by voting precinct, and sampling everyone in the precints selected <->  a. Cluster

Determine the dimension of the vector space.
M2,4
STEP 1:Determine the number of linearly independent vectors needed to span M2,4.
The basis for M2,4 has _________ linearly independent vectors.
STEP 2:Using the result from Step 1, determine the dimension of M2,4.
_________

Answers

Answer:

a

The number of linearly independent vectors needed to span M2,4. N =8

b

The dimension of    [tex]M_{2,4}[/tex] is 8

Step-by-step explanation:

 From the question we are told that  

        The  vector space is an [tex]M_{2,4}[/tex] matrix

Now the number of linear linearly independent vectors needed to span M2,4.

is  evaluated as

      [tex]N = 2 * 4 = 8[/tex]

this is due to the fact that each entry of the matrix is independent

Given that there are eight  independent  in the vector space the dimension of

  [tex]M_{2,4}[/tex] is 8

a The number of linearly independent vectors needed to span M2,4. N =8

b The dimension of M2, 4 is 8.

Calculation of the number of linearly independent vectors and dimensions:

Since there is vector space i.e. M2, 4

So, here n be = 2(4) = 8

Also, each entry of the matrix should be considered independent. Therefore, the dimension should also be 8.

Hence,

a The number of linearly independent vectors needed to span M2,4. N =8

b The dimension of M2, 4 is 8.

Learn more about vector here: https://brainly.com/question/12623333

Solve the equation.
5x + 8 - 3x = -10
x = -1
x=1
x=9


Answers

Answer:

x=-9

solution,

[tex]5x + 8 - 3x = - 10 \\ or \: 5x - 3x + 8 = -10 \\ or \: 2x + 8 = -10 \\ or \: 2x = -10 - 8 \\ or \: 2x = -18\\ or \: x = \frac{-18}{2 } \\ x = -9[/tex]

hope this helps..

Good luck on your assignment

Answer:

x = -9

Step-by-step explanation:

5x + 8 - 3x = -10

Rearrange.

5x - 3x + 8 = -10

Subtract like terms.

2x + 8 = -10

Subtract 8 on both sides.

2x = -10 - 8

2x = -18

Divide 2 into both sides.

x = -18/2

x = -9

How many 2-digit positive integers are divisible by 3 or 5 or both?

Answers

Answer:

23 numbers can be divisible by 3 & 5 or both.

In a certain liberal arts college with about 10,000 students, 59% are males. If two students from this college are selected at random, what is the probability that they are of the same gender?

Answers

Answer:

P(S) = 0.5162 or 51.62%

the probability that they are of the same gender is 0.5162 or 51.62%

Step-by-step explanation:

The probability that the two selected students are of the same gender P(S) is;

P(S) = Probability that they are both male P(M) + probability that they are both female P(F)

P(S) = P(M) + P(F) .........1

Given;

Proportion of male = 59% = 0.59

Proportion of female = 1-0.59 = 0.41

P(M) = 0.59×0.59 = 0.3481

P(F) = 0.41 × 0.41 = 0.1681

From equation 1;

P(S) = 0.3481 + 0.1681

P(S) = 0.5162 or 51.62%

the probability that they are of the same gender is 0.5162 or 51.62%

An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs).x 15 32 51 28 50 25y 3 3 7 5 9 3Complete parts (a) through (e), given Σx = 201, Σy = 30, Σx2 = 7759, Σy2 = 182, Σxy = 1163, and r ≈ 0.872.a. Draw a scatter diagram displaying the data.b. Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r.c. Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)d. Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.

Answers

Answer:

The sample correlation coefficient is, r = 0.8722.

The equation of the least-squares line is:

[tex]y= -0.161+0.154x[/tex]

Step-by-step explanation:

(a)

The scatter diagram displaying the data for X : total number of jobs in a given neighborhood and Y : number of entry-level jobs in the same neighborhood is shown below.

(b)

The table attached below verifies the values of [tex]\sum X,\ \sum Y,\ \sum X^{2},\ \sum Y^{2}\ \text{and}\ \sum XY[/tex].

The sample correlation coefficient is:

[tex]\begin{aligned}r~&=~\frac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}} {\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}} \\r~&=~\frac{ 6 \cdot 1163 - 201 \cdot 30 } {\sqrt{\left[ 6 \cdot 7759 - 201^2 \right] \cdot \left[ 6 \cdot 182 - 30^2 \right] }} \approx 0.8722\end{aligned}[/tex]

Thus, the sample correlation coefficient is, r = 0.8722.

(c)

The slope and intercept are:

[tex]\begin{aligned} a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 30 \cdot 7759 - 201 \cdot 1163}{ 6 \cdot 7759 - 201^2} \approx -0.161 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 6 \cdot 1163 - 201 \cdot 30 }{ 6 \cdot 7759 - \left( 201 \right)^2} \approx 0.154\end{aligned}[/tex]

The equation of the least-squares line is:

[tex]y= -0.161+0.154x[/tex]

(d)

The least-squares line is graphed in the diagram below.

What is the equation of the graph below?

Answers

Answer:

y = csc(x - 3/4[tex]\pi[/tex])

Step-by-step explanation:

I forgot how to answer questions like these. I went ahead and tried re-learning this to answer this.

So, the first step is to recognize that this graph can only be the reciprocal function of sin or cosine. I will think of sine.

y = sin(x)

Look at where the x-coordinate of the sin is. (-3/4PI). This is going to be the c value. { y = asin(x-c) }

y = sin(x - 3/4[tex]\pi[/tex])

Now, what is the a value? or amplitude? Well, it's just 1.. and the simplest explanation is just to look at my picture.

Now, if we were to graph this, we would end up with the correct x and y values, but the shape is wrong, and the easiest way to fix this is to just take the recpriocal of the sine function.

y = csc(x - 3/4[tex]\pi[/tex])

Thank you for this question, I re-learned something I forgot back in pre-calc haha.

Answer:

The answer is B

Step-by-step explanation:

Please answer this correctly

Answers

Answer:

No this is not biased

Reason:

Each acts had an equal amount of songs so the possibilities are all the same so it's not biased.

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

I am pretty sure this is correct

Sorry If I'm wrong

Hope this helps :)

How much money will I need to have at retirement so I can withdraw $60,000 year for 20 years from an account earning 8% compounded annually? a) How much do you need in your account at the beginning b)How much total money will you pull out of the account? c) How much of that money is interest?

Answers

Answer:

a) $ 589,088.84

b) $ 1,200,000

c) $ 610,911.16

Step-by-step explanation:

We have that the time is 20 years and a rate of 8%, that is to say 0.08

We solve each point:

a) How much do you need in your account at the beginning, we can calculate it using the present value:

PV = 60000 * (1 - (1 + 0.08) ^ - 20) /0.08

PV = 589088.84

In other words, you need in your account at the beginning $ 589,088.84

b) How much total money will you pull out of the account?

Total money would be:

20 * 60000 = 1200000

In other words, the total money will be $ 1,200,000

c) How much of that money is interest?

It is the subtraction of the total money and the one that you need in your account at the beginning, that is:

1200000 - 589088.84 = 610911.16

In other words, $ 610,911.16 would be in interest

a painter paints the side of a house at a rate of 3 square feet per minute. if the dimensions of the side of the house are 15 feet by 18, how many minutes does it take the painter to finish the job?

Answers

Answer: 90 minutes

Step-by-step explanation:

Area of the side = 15 x 18 = 270 sq. ft.

3 sq. ft take a minute to paint

270 sq. ft. will take 270 / 3

= 90 minutes

Match each expression to its simplified form

Answers

(6r+7) + (13+7r) = 13r+20
(7r-3/2) - (2/3+6r) = r-13/6

Answer:

12-1/2r            =>  (13− 3/ 2 r)−(1−r)

r-13/6             =>  (7r-3/2)-(2/3+6r)

13r+20           =>  (6r+7)+(13+7r)

-12+r               =>  (−8−r)+(2r−4)

Step-by-step explanation:

Please answer this correctly as soon as possible I want genius or expert people to answer this correctly

Answers

6/54 times because there are 9 marbles and the orange marble is 1 out of those 9 marbles. If you multiply 6*9= 54 then you notice there is a 6/54 chance of picking any 1 marble out of the 54 times that you decide to pick marbles.

The mean of 10 positive numbers is 16. when another number is added, the mean becomes 18. Find the number added​

Answers

Answer:

The number added was 38.

Step-by-step explanation:

(16x10+x)/11 = 18

160+x = 198

x = 38

Best Regards!

The television show 50 Minutes has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to 50 Minutes. Assume that an advertiser wants to verify that 20% share value by conducting its own survey, and a pilot survey begins with 14 households have TV sets in use at the time of a 50 Minutes broadcast. Find the probability that none of the households are tuned to 50 Minutes.

Answers

Answer:

The probability that none of the households are tuned to 50 Minutes is 0.04398.

Step-by-step explanation:

We are given that the television show 50 Minutes has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to 50 Minutes.

A pilot survey begins with 14 households have TV sets in use at the time of a 50 Minutes broadcast.

The above situation can be represented through binomial distribution;

[tex]P(X = r)= \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x = 0,1,2,3,.........[/tex]

where, n = number of samples (trials) taken = 14 households

r = number of success = none of the households are tuned to 50 min

p = probability of success which in our question is probability that households were tuned to 50 Minutes, i.e. p = 20%

Let X = Number of households that are tuned to 50 Minutes

So, X ~ Binom(n = 14, p = 0.20)

Now, the probability that none of the households are tuned to 50 Minutes is given by = P(X = 0)

               P(X = 0)  =  [tex]\binom{14}{0} \times 0.20^{0} \times (1-0.20)^{14-0}[/tex]

                              =  [tex]1 \times 1 \times 0.80^{14}[/tex]

                              =  0.04398

Write an expression to represent: Eight more than the product of two and a number x.

Answers

Answer:

8 + 2x

Step-by-step explanation:

You are adding 8 to 2 times an unknown number.

A computer manufacturing company has sent a mail survey to 2,800 of its randomly selected customers that have purchased a new laptop. The survey asked the customers whether or not they were satisfied with the computer. 800 customers responded to the survey. 640 customers indicated that they were satisfied, while 160 customers indicated they were not satisfied with their new computer. Construct a 96 percent confidence interval estimate of the true proportion of customers satisfied with their new computer.

Answers

Answer:

The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).

Step-by-step explanation:

We have to calculate a 96% confidence interval for the proportion.

We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.

The sample proportion is p=0.8.

[tex]p=X/n=640/800=0.8[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8*0.2}{800}}\\\\\\ \sigma_p=\sqrt{0.0002}=0.014[/tex]

The critical z-value for a 96% confidence interval is z=2.054.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=2.054 \cdot 0.014=0.03[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.8-0.03=0.77\\\\UL=p+z \cdot \sigma_p = 0.8+0.03=0.83[/tex]

The 96% confidence interval for the population proportion is (0.77, 0.83).

Two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow. The die is rolled three times, and the colors that appear face up on the first, second, and third rolls are recorded. Find the number of elements in the sample space whose outcomes are all possible sequences of three rolls of the die. (a) Find the probability of the event that exactly one of the colors that appears face up is red. (b) Find the probability of the event that at least one of the colors that appears face up is red.

Answers

Answer:

Sample space = 27 possible outcomes

a) P(just one red) = 4/9

b) P(at least one red) = 19/27

Step-by-step explanation:

Each die has 3 possible outcomes (red, blue or yellow), so the sample space of the number of possible outcomes for rolling three dice is 3^3 = 27

a)

The probability of the face up color being red is 2/6 = 1/3, and the probability of it not being red is 4/6 = 2/3.

The die with the face up red can be any of the three dice, so we also need to multiply the probabilities by a combination of 3 choose 1. So the final probability is:

P = C(3,1) * (1/3) * (2/3)^2 = 3 * (1/3) * (4/9) = 4/9

b)

To find the probability of at least one face up being red (event A), we can find the probability of the complementary case, that is, no one of the three die being face up red (event A'), and then we calculate P(A) + P(A') = 1.

In the case where no face up are red, we have the probability of 2/3 for each die, so we have:

P(A') = (2/3)^3 = 8/27

Then we can find P(A):

P(A) = 1 - 8/27 = 19/27

What time did they arrive at the airport?

Answers

Answer:

32

Step-by-step explanation:

What is the positive square root of 64?
Enter your answer in the box.

Answers

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]=+\sqrt{64}[/tex]

[tex]=+8[/tex]

The positive square root of 64 is 8.

The given number is,

64

Since we know that,

Assuming that x is the square root of y, the equation would be written as x = √y or as x² = y.

The radical symbol for the number's root is "√" in this instance. The square of the positive number is represented by multiplying it by itself.

We also know that

64 = 8x8 or (-8)x(-8)

Therefore,

√64 = ± 8

Here we need only positive square root

Therefore - 8 is disregarded.

Hence the positive square root of 64 is 8.

To learn more about square root  visit:

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What is the measure of angle d?
A. d=59
B. d=114
C. d=55
D. d=66

Answers

Answer:

A. d = 59°

Step-by-step explanation:

We know that the 3 angles added up together are a straight line or 180°. Therefore,

m∠d° = 180 - (57 + 64)

Answer: D. 59

Step-by-step explanation:

57 + 64 + d = 180°

121 + d = 180°

180 - 121 = 59°

Hope this helps!

Part A: If (62)x = 1, what is the value of x? Explain your answer. Part B: If (60)x = 1, what are the possible values of x? Explain your answer.

Answers

Answer:

part a,x=[tex]\frac{1}{62}[/tex]

part b, x=[tex]\frac{1}{60\\}[/tex]

Step-by-step explanation:

[tex]\frac{1}{62}[/tex]=reciprocal or multiplicative inverse of 62

x multiplied by its reciprocal= 1

same goes for no.1

How many cubes with side lengths of end fraction 1/2 cm does it take to fill the prism? btw anyone who answers this first will be marked the brainiest answer and get a thanks from me :)

Answers

12 cubes can fit in the prism
The answer will be 12 :)

I need help on this question

Answers

Answer:

(-2,1)

Step-by-step explanation:

We want the points where the function is greater than zero

Looking at the function it is between the x intercepts

The x intercepts ares -2 and 1

-2 <x<1 is when y >0

We want interval notation

(-2,1)

Consider a value to be significantly low if its z score less than or equal to minus2 or consider a value to be significantly high if its z score is greater than or equal to 2. A test is used to assess readiness for college. In a recent​ year, the mean test score was 21.9 and the standard deviation was 4.9. Identify the test scores that are significantly low or significantly high.

Answers

Answer:

Step-by-step explanation:

Since we are dealing with z scores, then the distribution is a normal distribution. The formula for determining the z score is expressed as

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 21.9

σ = 4.9

For significantly low values, z = - 2

Therefore,

- 2 = (x - 21.9)/4.9

- 2 × 4.9 = x - 21.9

- 9.8 = x - 21.9

x = - 9.8 + 21.9

x = 12.1

Significantly low test score = 12.1

For significantly high values, z = 2

Therefore,

2 = (x - 21.9)/4.9

2 × 4.9 = x - 21.9

9.8 = x - 21.9

x = 9.8 + 21.9

x = 31.7

Significantly high score = 31.7

Other Questions
which best compares the authors purposes in Silent Spring and Save the Redwoods 1) Discuss extensively on the factors that led to the fall of the Jukun states which one doesn't belong? Please Help!!A ship leaves port at noon at a bearing of 293. The ships average rate of speed over this time is 18 miles per hour.Describe the location of the ship at 3:30 p.m. by writing a vector in component form. Then explain what these components mean in terms of the scenario.Drag a value into each box to correctly complete the statements. To earn full credit for this question use your own sheet of paper to solve the problem, showing all steps of your work in order to get full credit. A random sample of 30 male college students was selected, and their heights were measured. The heights (in inches) are given below. 73 68 72 74 6773 69 66 66 68 67 68 73 72 67 71 69 71 70 6769 68 7366 67 66 66 72 72 70 (a) Complete the frequency distribution for the data. Make sure to enter your answers for the relative frequency as decimals, rounded to t Height Frequency Relative Frequency 66 67 58 69 70 71 72 73 74 (b) Compute the (weighted) sample mean. Make sure to enter your answer rounded to the ni (c) Interpret the sample mean obtained in question (b) in the context of the problem. SOMEONE PLEASE HELP ME ASAP PLEASE!!! Which of the following words is a proper noun Explain a diplomatic act in the US history? Which occurs when the body responds to the environment by maintaining a stable internal environment despite changing external conditions? What is the claim in this excerpt? On January 1, ABC sold $30,000 in products to a customer on account. Then on January 10, ABC collected the cash on that account. What is the impact on ABC's accounting equation from the collection of cash on January 10? Draw the products formed from 2-methyl-2-butene by sequences (1.) and (2.). hydroboration followed by oxidation with alkaline hydrogen peroxide. acid-catalyzed hydration. You do not have to consider stereochemistry. You do not have to explicitly draw H atoms. Product of sequence 1: What is the product?386 times 24 = blank9,2649,2749,3649,474 Xochi is a corporate PR consultant. She has many clients and would like to find a more efficient way to access and send information than by e-mail alone. What tool should Xochi use to search and manage this informatio What is your book genre?(If you read) What is H.R. 3999 trying to solve? A This bill has the potential to prohibit the manufacture, transfer, possession, and use of bump stocks. B This bill has the potential to allow for the manufacture, transfer, possession, and use of bump stocks. C This bill has the potential to prohibit the manufacture and sale of all semi-automatic rifles. D This bill has the potential to allow for the sale and manufacture of semi-automatic rifles to anyone with a license. An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. The classes are open to any of the 100 students in the school. There are 28 students in the Spanish class, 26 in the French class, and 16 in the German class. There are 12 students who are in both Spanish and French, 4 who are in both Spanish and German, and 6 who are in both French and German. In addition, there are 2 students taking all 3 classes. If two students are randomly chosen, what is the probability that at exactly one of them does exactly two language classes. N(7x5 2x3 + 6) (3x 4x3 2)+ Use the fundamental identities to simply the expression. Fill in the blanks with the correct indirect object.Quieras mostrarle la cart? S, voy a mostrr____ la ahora.Les servista la carne? No, no_____ la serv.Vas a leerle me el men? No, no _____ lo voy a leer.Me recomiendas la langosta? S, ____ la recomendio.Cundo vas a prepararnos la cena? _____ la boy a preparar en una hora.