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

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

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:

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 :)

Answer:

50% Chance

Step-by-step explanation:

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

= 1/2

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

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!

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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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 :)

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

Answer:

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

Answer:

The number added was 38.

Step-by-step explanation:

(16x10+x)/11 = 18

160+x = 198

x = 38

Best Regards!

Answer:

32

Step-by-step explanation:

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.

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.

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

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

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.

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.

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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.

Answer:

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

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

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).

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:

Answer:

8 + 2x

Step-by-step explanation:

You are adding 8 to 2 times an unknown number.

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

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

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%

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)

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.