In a sample of 1100 U.S. adults, 215 think that most celebrities are good role models. Two U.S. adults are selected from this sample without replacement. What is the probability that both adults think that most celebrities are good role models

Answer:

Step-by-step explanation:

dddfykb

Answer:

I would say (B) 14,55

Step-by-step explanation:

The probability of picking a dime from the coins in his pocket is 1/13

1 penny = 1 cent

Hence, 100 pennies = $1

1 nickel = 5 cent

20 nickels = $1

1 dime = 10 cent

10 dime = $1

This means that :

Eduardo has :

Total coins = (100 + 20 + 10) = 130 coins

Recall :

Probability = required outcome / Total possible outcomes

P(dime) = number of dimes / total coins

P(dime) = 10 / 130 = 1/13

Hence, the probability of picking a dime = 1/13

Learn more : https://brainly.com/question/18153040

Step-by-step explanation:

seriously I haven't been in a relationship with any guy I hope I will find him soon

Actually I haven't dated anyone

I think 1 time I talked with one boy in online then we started to call then due to cast our relationship ended

eventually I did not broke up he stop talking with me then I asked he told due to cast I can't sit in a relationship with you

fromw that they onwards I have never tex guy in online

so hopee u like my story

Answer:

d=112

f=112

a=68

e=68

c=112

Explanation:

Each line is equal to 180 degrees so 180-68 is 112 f and a should be the same degree because of the way the line is slanted. E and c will be the inverse of d and 68.

Using a general form of a confidence interval,

a. The standard error of the distribution is approximately 0.094.

b. The true proportion of gifts in all purchases on the website falls between 0.336 and 0.714.

a. To construct a bootstrap sampling distribution using StatKey, we can follow these steps:

The standard error of the distribution is approximately 0.094.

b. To construct a 99% confidence interval for the proportion of gifts, we can use the following formula:

point estimate ± z* (standard error)

where the point estimate is the proportion of gifts in the sample (21/40 = 0.525), z* is the critical value from the standard normal distribution for a 99% confidence level (2.576), and the standard error can be estimated from the bootstrap sampling distribution.

Plugging in the values, we get:

0.525 ± 2.576 × 0.094

To simplify, the confidence interval is:

(0.336, 0.714)

Learn more about the confidence interval at

https://brainly.com/question/24131141

#SPJ4

The question is -

Confidence interval The owner of an online business wants to estimate the proportion of all purchases on their website that are gifts. In a random sample of 40 purchases, 21 were gifts. 1. Use StatKey to construct a bootstrap sampling distribution for a single proportion given Count = 21 and Sample Size = 40. Include a screenshot of that sampling distribution here. What is the standard error of that distribution? 2. Use the general form of a confidence interval to construct a 99% confidence interval to estimate the proportion of all purchases on this website that are gifts. Remember to always show all of your work. For a review of this procedure, see page 7.4.2 in the online course notes.

Answer:

x² - 9

Step-by-step explanation:

Step 1: Convert word to math

9 = 9

square of a number = x²

Step 2: Combine

"Difference" = subtraction

x² - 9

Answer:

x = -3    b no answer is 1/27000

Step-by-step explanation:

Answer:

$1,931.41

Step-by-step explanation:

Subtract the starting date CPI from the later date CPI and divide your answer by the starting date CPI. Multiply the results by 100. Your answer is the inflation rate as a percentage.

The real part of the particular solution to the differential equation is \((1/30)Re(e^(3it))(sin(3t) - cos(3t))\)

The real part of the particular solution to the differential equation:

\(\frac{d^2y}{dt^2} +3\frac{dy}{dt} +7y = e^(3it)\)

First, we assume a particular solution of the form:

\(y(t) = Bcos(3t) + Csin(3t)\)

where B and C are real fractions.

Taking the first and second derivatives of y(t), we get:

\(\frac{dy}{dt} = -3Bsin(3t) + 3Ccos(3t)\)

\(\frac{d^2y}{dt2} = -9Bcos(3t) - 9Csin(3t)\)

Substituting these into the differential equation, we get:

\((-9Bcos(3t) - 9Csin(3t)) + 3(-3Bsin(3t) + 3Ccos(3t)) + 7(Bcos(3t) + Csin(3t)) = e^(3it)\)

Simplifying and collecting terms, we get:

\((-9B + 21C)*cos(3t) + (-9C - 9B)*sin(3t) = e^(3it)\)

Comparing the coefficients of cos(3t) and sin(3t), we get:

\(-9B + 21C = Re(e^(3it))\)

\(-9C - 9B = 0\)

Solving for B and C, we get:

\(B = -C\)

\(C = (1/30)*Re(e^(3it))\)

Therefore, the particular solution is:

\(y(t) = -Ccos(3t) + Csin(3t) = (1/30)Re(e^(3it))(sin(3t) - cos(3t))\)

A differential equation is a mathematical equation that relates a function to its derivatives. It is a powerful tool used in many fields of science and engineering to describe how physical systems change over time. The equation typically includes the independent variable (such as time) and one or more derivatives of the dependent variable (such as position, velocity, or temperature).

Differential equations can be classified based on their order, which refers to the highest derivative present in the equation, and their linearity, which determines whether the equation is a linear combination of the dependent variable and its derivatives. Solving a differential equation involves finding a function that satisfies the equation. This can be done analytically or numerically, depending on the complexity of the equation and the available tools.

To learn more about Differential equation visit here:

brainly.com/question/14620493

#SPJ4

Answer:

\((f+g)(x) = -8x-6\)

Step-by-step explanation:

We are given the two functions:

\(\displaystyle f(x) = -5x - 4 \text{ and } g(x) = -3x - 2\)

And we want to find:

\((f+g)(x)\)

Recall that this is equivalent to:

\(\displaystyle (f+g)(x) = f(x) + g(x)\)

Substitute and simplify:

\(\displaystyle \begin{aligned} (f+g)(x) &= (-5x-4)+(-3x-2) \\ \\ &= -8x-6 \end{aligned}\)

In conclusion:

\((f+g)(x) = -8x-6\)

Answer:

See below

Step-by-step explanation:

I assume you want the quadratic that has these values

Vertex form of this parabola

y = a(x- - 1)^2  + 4     insert the given point to calculate 'a'

8 = a (1 + 1)^2 + 4    shows a = 1

y = (x+1)^2 + 4         expand this  vertex form to get the quadratic form

y = x^2 + 2x + 5

The volume of the hemisphere is approximately 7243.3 cubic feet when rounded to the nearest tenth.

The volume of a hemisphere can be calculated using the formula

V = (2/3)πr³, where r is the radius.

Since the diameter of the hemisphere is given as 30.3 ft, the radius can be calculated as 15.15 ft (half of the diameter).

Substituting this value in the formula, we get:

V = (2/3)π(15.15)³

V ≈ 7243.3 cubic feet (rounded to the nearest tenth)

Therefore, the volume of the hemisphere is approximately 7243.3 cubic feet when rounded to the nearest tenth.

Learn more about hemisphere

https://brainly.com/question/30986054

#SPJ4

Answer:

8363

Step-by-step explanation:

Solve this using BODMAS (Brackets of Division, Multiplication, Addition, Subtraction)

=> 2 + (45 + 92)63

=> 2 + (137)63

=> 2 + 8361

=> 8363

Answer:

x = 5

Step-by-step explanation:

216 ^x  = 6^(x+10)               notice that 216  = 6^3

(6^3 )^x = 6^(x+10)

6^3x = 6^(x+10)       now just equate the exponents

 3x = x + 10

   2x = 10       x = 5

The probability that a student's score is less than 81 points on the reading ability test is 0.9772. We would expect approximately 489 students to earn a score less than 81 points if 500 students took the reading ability test. The probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68 is approximately 0.2190.

To find the probability that a student's score is less than 81 points, we need to standardize the score using the z-score formula:

z = (x - μ) / σ

where x is the student's score, μ is the mean score, and σ is the standard deviation. Plugging in the values, we get:

z = (81 - 65) / 8 = 2.00

Using a standard normal distribution table or calculator, we can find the probability of a z-score less than 2.00 to be approximately 0.9772. Therefore, the probability that a student's score is less than 81 points is 0.9772.

Since the distribution is normal, we can use the normal distribution to estimate the number of students who would earn a score less than 81. We can standardize the score of 81 using the z-score formula as above and use the standardized score to find the area under the normal distribution curve. Specifically, the area under the curve to the left of the standardized score represents the proportion of students who scored less than 81. We can then multiply this proportion by the total number of students (500) to estimate the number of students who would score less than 81.

z = (81 - 65) / 8 = 2.00

P(z < 2.00) = 0.9772

Number of students with score < 81 = 0.9772 x 500 = 489

Therefore, we would expect approximately 489 students to earn a score less than 81 points.

The distribution of the sample mean reading ability test scores is also normal with mean μ = 65 and standard deviation σ / sqrt(n) = 8 / sqrt(35) ≈ 1.35, where n is the sample size (number of students in the sample). To find the probability that the sample mean score is between 66 and 68, we can standardize using the z-score formula:

z1 = (66 - 65) / (8 / sqrt(35)) ≈ 0.70

z2 = (68 - 65) / (8 / sqrt(35)) ≈ 2.08

Using a standard normal distribution table or calculator, we can find the probability that a z-score is between 0.70 and 2.08 to be approximately 0.2190. Therefore, the probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68 is approximately 0.2190.

To know more about probability:

https://brainly.com/question/30034780

#SPJ4

Answer:

school x = 12

school y = 4

Step-by-step explanation:

School X has eight more points than School Y.

School X has three times as many points as School Y .

Writing these statements in terms of equation 

x = y + 8  

 x = 3 y

Substituting the value of x in y, we get

3 y = y + 8

Taking variable on left side of equation

3 y – y = 8 (subtract y from both sides)

2 y= 8 (divid 2 from both sides)

y = 4

then plug in y to the first equation

x= y + 8

x= 4 + 8

x= 12

answer a)

soln,

or, 4x + 84 = 180° [being co-interrior angle]

or, 4x = 180 - 84

or, 4x = 96

or, x = 96/4

x = 24

answer b)

soln,

or, 2x + 5 = 135° [being corresponding angle]

or, 2x = 135 - 5

or,2x = 130

or, x = 130/2

x = 65°

Step-by-step explanation:

well if it's helpful mark me as brainlest please

a. P(Blue) = 4 / (6+4+8) = 4/18 = 2/9

b. P (White or Black) = P(White) + P(Black)= 6/18 + 8/18 = 14/18 = 7/9

c. P(Red) = 0 (No red socks are present in the drawer)

d. P (not white) = P(Blue) + P(Black) = 4/18 + 8/18 = 12/18 = 2/3

e. There are two possible scenarios to get at least 2 socks of the same color. Either we can have 2 socks of the same color or 3 socks of the same color or 4 socks of the same color. The probability of getting at least 2 socks of the same color is the sum of the probabilities of these three cases.

P(getting 2 socks of the same color) = (C(3, 1) × C(6, 2) × C(12, 2)) / C(18, 4) = 0.4809

P(getting 3 socks of the same color) = (C(3, 1) × C(6, 3) × C(8, 1)) / C(18, 4) = 0.0447

P(getting 4 socks of the same color) = (C(3, 1) × C(6, 4)) / C(18, 4) = 0.0015

P(getting at least 2 socks of the same color) = 0.4809 + 0.0447 + 0.0015 = 0.5271So, the required probability is 0.5271.

There are six white socks, four blue socks, and eight black socks in a drawer. One sock is picked out of the drawer, and there is an equal chance that any sock will be selected. The following events' likelihood must be determined:

a) The probability that the sock is blue is found by dividing the number of blue socks by the total number of socks in the drawer.

b) The probability that the sock is white or black is obtained by adding the probability of drawing a white sock and the  probability of drawing a black sock.

c) Since no red socks are present in the drawer, the probability of drawing a red sock is 0.

d) The probability of not choosing a white sock is obtained by adding the probability of selecting a blue sock and the    probability of selecting a black sock.

e) To have at least two socks of the same color, we may either have two, three, or four socks of the same color. We  find the probabilities of each case and add them up to get the probability of at least two socks of the same color.

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Cluster analysis is a valuable tool in data analysis that helps identify hidden patterns and group similar objects or data points.

It is useful in various fields, such as market research, image analysis, customer segmentation, and anomaly detection. By clustering data, we can gain insights, make predictions, and improve decision-making. Hierarchical clustering is a specific approach to cluster analysis. It organizes data points into a hierarchy of clusters, where each cluster can contain subclusters. This method allows for a hierarchical structure that captures different levels of similarity or dissimilarity between data points.

For example, in customer segmentation, hierarchical clustering can group customers based on similar attributes like demographics, purchase history, and behavior. In image analysis, it can be used to segment images into meaningful regions or objects based on their visual characteristics. Hierarchical clustering offers a flexible and interpretable way to analyze complex datasets and discover underlying structures.

To learn more about data points click here: brainly.com/question/17148634

#SPJ11

Polynomials consist of both indeterminates and coefficients. The factors of the polynomial x² - 15x + 36 is (x-3)(x-12).

A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.

Given to us

x² - 15x + 36

To find the factors of the polynomial,

\(x^2 - 15x + 36 \\\\\)

We will replace -15 with two numbers such that their sum is -15 while, their product must be 36.

\(x^2 - 15x + 36 \\\\ = x^2 -12x-3x +36\\\\\)

now, we will take x as the common term from the first two-term, while 3 as the common term from the next two terms.

\(= x^2 -12x-3x +36\\\\= x(x-12) - 3 (x - 12)\\\\= (x-3)(x-12)\)

Hence, the factors of the polynomial x² - 15x + 36 is (x-3)(x-12).

Learn more about Polynomials:

https://brainly.com/question/17822016

Answer:

its b.

Step-by-step explanation:

your welcome

The probability that a randomly selected woman is taller than 5 ft 10 in (70 inches) is approximately 0.0143 or 1.43%.

To find the probability that a randomly selected woman is taller than 5 ft 10 in, we need to convert the height to inches and then calculate the probability using the Normal distribution.

5 ft 10 in is equivalent to 5(12) + 10 = 70 inches.

Let's calculate the z-score corresponding to a height of 70 inches using the formula: z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation. In this case, x = 70 inches, μ = 63.8 inches, and σ = 2.8 inches.

\(z=\frac{70-63.8}{2.8} = 2.214\)

Using a standard Normal distribution table or calculator, we can find the probability associated with this z-score.The probability of a randomly selected woman being taller than 5 ft 10 in (70 inches) can be found by calculating the area under the Normal distribution curve to the right of z = 2.214.

P(Z > 2.214) = 1 - P(Z ≤ 2.214)

By looking up the corresponding probability in the standard Normal distribution table or using a calculator, we find that P(Z ≤ 2.214) ≈ 0.9857.

Therefore, P(Z > 2.214) = 1 - 0.9857 =0.0143.

Thus, the probability that a randomly selected woman is taller than 5 ft 10 in (70 inches) is approximately 0.0143 or 1.43%.

To know more about "Probability" refer here:

https://brainly.com/question/32004014#

#SPJ11

Step-by-step explanation:

Plz make it brainlist answer

Answer:

p^5/2

Step-by-step explanation:

Those steps are in the picture I attached.

Answer:

12.1

Step-by-step explanation:

y=a(1/2)^t/h

270=410(1/2)^t/20

Divide both sides by 410

0.6585365854 = (1/2)^t/20

Log Both sides

Log(0.6585365854) / Log(1/2)

.6026645024= t/20

20 x .6026645024 = t

12.05329005 to the nearest tenth is 12.1 = t

Solution:

Given:

The sequence given is an arithmetic progression because it increases by a common difference.

Hence, the function rule for the sequence will follow that of an arithmetic progression (A.P).

The nth term of an A.P is given by;

For the sequence given;

Therefore, the function rule for the sequence is;

the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4. To determine the minimum score needed to be in the top 7%, we need to use the properties of the normal distribution and the corresponding z-score.

First, we need to find the z-score that corresponds to the top 7%. This can be done by using the standard normal distribution table or a calculator with a normal distribution function. The z-score that corresponds to the top 7% is approximately 1.48.

Next, we can use the formula for transforming a z-score to a raw score:

raw score = z-score * standard deviation + mean    

Substituting the values given in the problem, we get:

raw score = 1.48 * 6.1 + 76.4

raw score = 85.48

Therefore, the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4.

In conclusion, the minimum score needed to be in the top 7% is 85.4. This calculation was performed by finding the z-score that corresponds to the top 7%, and then transforming the z-score to a raw score using the mean and standard deviation of the distribution.

To know more about  normal distribution click here:

brainly.com/question/29509087

#SPJ4

Answer: A. To find the number of glass squares each student will receive, we need to divide the total number of squares by the number of students.

We can write this as:

x = number of glass squares per student

x = 1240 / 121

B. To find the number of squares each student will receive, we need to solve for x by dividing 1240 by 121.

1240 ÷ 121 = 10.246753246753247

C. Each student will get 10 whole glass squares.

D. The remainder in this context is the number of glass squares that cannot be distributed evenly among the students. In this case, the remainder is 30. It means that there will be 30 glass squares left over after each student has received 10 squares. It's like remainder in division where after dividing 1240 by 121 the quotient is 10 and the remainder is 30.

Step-by-step explanation:

Step-by-step explanation:

☄ \( \underline {\underline{ \text{Given}}} : \)

☄ \( \underline{ \underline{ \text{To \: find}}}: \)

☄ \( \underline{ \underline{ \text{Solution}}} : \)

Part 1 : \( \boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}\)

plug the known values and simplify :

⟹ \( \sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}\)

⟹ \( \sf{5 \times 95}\)

⟹ \( \sf{475 \: {m}^{2} }\)

Part 2 : \( \boxed{ \sf{Total \: cost = Area \: of \: paths \: \times Rate}}\)

⟹ \( \sf{475 \times 120}\)

⟹\( \sf{Rs \: 57000}\)

\( \purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \: {m}^{2} \: and \: (ii ) = Rs \: 57000}}}}}\)

Hope I helped ! ♡

Have a wonderful day /night ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

To know more about Confidence interval visit

https://brainly.com/question/31736191

#SPJ11