suppose you are one of 19 people at a dinner party. Find the probability that at least one of the other guests has the same birthday as you and that some pair of guests share the same birthday assume there are 365 days in the year

The probability that at least one other guest shares your birthday is approximately?

The probability that some pair of guests share the same birthday is approximately?

Answer:

4 pounds

Step-by-step explanation:

2.36/4 = 0.59 cents a banana

1.83/3 = 0.61 cents a banana

No, because each item does not have an equal chance of being selected. That is option D.

A simple random sample is defined as the type of random sampling where by a particular amount of data (subset) is being selected from the total population of data that is under study.

The simple random sampling method which is used by researchers has the following disadvantages such as:

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Answer:

$20,907

Step-by-step explanation:

To calculate the amount that needs to be placed in an account now to have $22,500 in 3 years, you can use the formula for compound interest:

A = P * (1 + r/n)^(nt)

Where:

A = final amount

P = principal (the initial amount placed in the account)

r = annual interest rate as a decimal

n = number of times the interest is compounded in a year

t = number of years

In this case, r = 0.048, n = 52 (since the interest is compounded weekly), and t = 3.

So, we have:

A = 22,500

P = ?

r = 0.048

n = 52

t = 3

Plugging these values into the formula:

22,500 = P * (1 + 0.048/52)^(52 * 3)

Solving for P, we get:

P = 22,500 / (1 + 0.048/52)^(52 * 3)

P = 22,500 / (1 + 0.048/52)^(156)

Rounding to the nearest dollar, we get:

P = $20,907

So, a person should place $20,907 in the account now, if the account pays 4.8% annual interest rate, compounded weekly, to have $22,500 in 3 years.

The annual interest rate on the saving account is 5%.

Also known as annual percentage rate (APR) is the interest generated by a sum charged to borrowers or paid to investors each year. Its represents the actual yearly cost of funds over the life of a loan or the income earned on an investment.

To determine our annual interest rate, we can use the formula for simple interest: I = Prt. We need to find "r" which is our interest rate.

Now, we know the interest earned (I = $200) and the principal (P = $1,000), we can substitute those values into the formula:

$200 = $1,000 * r * 4

r = $200 / ($1,000 * 4)

r = 0.05. Therefore, the annual interest rate is 0.05 or 5%.

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The slope for:

1 = 1/2  (Option E)

2 = 2 (Option C)

3 = -1/2 (Option H)

4 = -2 (Option A)

The slope or gradient of a line in mathematics is a quantity that specifies both the direction and the steepness of the line.

The formula for slope (m) is given as:

m = Rise/Run = y2-y1/x2-x1

(x1,y1) = Coordinates of the first point in the line

(x2,y2) = Coordinates of the second point in the line.

1) The points are:

x1= -2

y1 = 2

x2 =2

y2  = 4

m = (4 - 2) / (2 - (-2))

m = 2 / 4

m = 1/2

Thus, Δy/Δx = 1/2

2) The points are:

x1= -1

y1 = -12

x2 =5

yx  = 0

m = (y2 - y1) / (x2 - x1)

Substituting the given values, we get:

m = (0 - (-12)) / (5 - (-1))

m = 12 / 6

m = 2

Thus, Δy/Δx = 2


3) Where the points are:
x1= 2

y1 = -6

x2 = - 4

y2  = -3

Substituting the given values, we get:

m = (-3 - (-6)) / (-4 - 2)

m = 3 / (-6)

m = -1/2

Thus, Δy/Δx = -1/2


4)  Where the points are:
x1= 0

y1 = 3

x2 = 1.5

y2  = 0

Substituting the given values, we get:

m = (0 - 3) / (1.5 - 0)

m = -3 / 1.5

m = -2


Thus, Δy/Δx = -2

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Using a TI-83, TI-83 Plus, or TI-84 Population standard deviation is 56.4 and Population variance is 3178.5 .

To calculate the population standard deviation and variance using a TI-83, TI-83 Plus, or TI-84 calculator, we can use the following steps:

Enter the data into a list on the calculator. To do this, press the STAT key, then select Edit. Enter the data into L1.

Calculate the sample mean by pressing STAT, then CALC, then 1-Var Stats. Make sure L1 is selected as the list, then press ENTER.

Find the population variance by pressing STAT, then CALC, then 2-Var Stats. Make sure L1 is selected as the list, then press ENTER. The variance will be displayed as sX².

Take the square root of the population variance to find the population standard deviation. To do this, press the MATH key, then select PRB, then select 5:√(. Enter the population variance, then press ENTER.

Using this method, we find that the population standard deviation is approximately 56.4 and the population variance is approximately 3178.5.

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Complete question is:

A statistics professor gives a survey to each of the 10 students in an introductory statistics course. The survey asks the students how many text messages they think they sent yesterday. The data are included below. Use a TI-83, TI-83 Plus, or TI-84 to calculate the population standard deviation and the population variance. Round your answers to one decimal place .

Texts sent yesterday: 29 211 130 21 5 21 19 67 60 95

The volume of the cone shown can be described to be A. 513 π cubic units

The volume of a cone can be found by the formula :

= π x radius ² x height / 3

The radius of this cone is 9 units and the height is 19 units.

The volume of this cone then is :

= π x radius ² x height / 3

= π x 9 ² x 19/ 3

= π x 81 x 19/ 3

= π x 513

= 513 π cubic units

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The amount of money the company makes per shirt  $18.90

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The chances that event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes

                                 = X/n

To calculate the expected profit per shirt, we need to consider the two possible outcomes:

the shirt is defective or not defective.

If the shirt is not defective, the company makes a profit of $20.

If the shirt is defective, the company incurs a cost of $35 and no profit.

The probability of a shirt being defective is 0.02, so the probability of a shirt not being defective is:

= 1 - 0.02

= 0.98.

Therefore, the expected profit per shirt can be calculated as:

Expected profit = (probability of not defective) x (profit per non-defective shirt)

+ (probability of defective) x (cost per defective shirt)

Expected profit = 0.98 x $20 + 0.02 x (-$35)

Expected profit = $19.60 - $0.70

Expected profit = $18.90

So the company really makes $18.90 per shirt, taking into account the cost of defective shirts.

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Answer:B

Step-by-step explanation: the graph moves x vertically -1 while y is moved vertically to 4

Answer: Yes, this statement is true. If the number x² y is a negative integer, it means that x² is a positive integer and y is a negative integer. Therefore, -y would be a positive number.

Step-by-step explanation:

Weight is 0.229 pounds after 4 weeks.

As a young channel catfish only weights 0.1 pounds,

It gains weight over the following 8 weeks at a rate of roughly 23% every week.

In this case, the exponential growth function is as follows:

Exponential formulas are provided by.

[tex]y=a(1+r)^{x}[/tex]

where an is the starting amount, r is the growth rate, x is the duration, and y is the weight at the end of "x" weeks.

Our values are a = 0.1, r = 0.23 (or 23%), and t = 4.

As a result,

[tex]y=0.1(1+0.23)^{4} \\[/tex]

y = 0.1(2.289)

y = 0.229

Consequently, the weight at 4 weeks is 0.229 pound.

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Complete question:

A young channel catfish weighs about 0.1 pound. During the next 8 weeks, its weight increases by about 23% each week. About how much will the catfish weigh after 4 weeks? Round your answer to the nearest thousandth of a pound.

The length of gasket material needed to obtain 19 sq ft of the material is approximately 25.33 ft.

What is length?

The length of something measured from end to end or along its longest side, or the length of a specific section of something.

Convert the width from inches to feet:

Since there are 12 inches in a foot, the width in feet is:

9 / 12 = 0.75 ft

Calculate the length needed:

We know that the area of the gasket material is 19 sq ft, and the width is 0.75 ft. Let L be the length needed in feet. Then we have:

Area = Width x Length

19 sq ft = 0.75 ft x L

Solving for L, we get:

L = 19 sq ft / 0.75 ft

L = 25.33 ft (rounded to two decimal places)

Therefore, the length of gasket material needed to obtain 19 sq ft of the material is approximately 25.33 ft.

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Answer:

Below

Step-by-step explanation:

See image

L side goes from    3 units   to   6 units    so scale factor is 2

The required measure of angle x in the triangle is 35°.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

From triangle,

Sin x = perpendicular/hypotenuse

Sin x = 4/7

Sin x = 0.57

X =sin⁻¹(0.57)

X = 34.9

x = 35°

Thus, the required measure of angle x in the triangle is 35°.

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Answer:

i think the answer is A and C, B and E

Answer:

D and F

A and C

B and E

Step-by-step explanation:

The procedure for angle measurement by the protractor is mentioned below:

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

To measure an angle using a protractor, follow these steps:

1. Place the protractor on the angle you want to measure, with the base of the protractor aligned with one side of the angle.

2. Make sure the protractor is centered and level, with the zero-degree mark on the protractor aligned with the vertex (corner) of the angle.

3. Read the measurement of the angle from the protractor, where the second side of the angle intersects with the protractor scale. The measurement is usually given in degrees.

If the angle is larger than 180 degrees, you may need to use a full-circle protractor or measure the angle in two parts and add the measurements together.

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Answer: Let's call the total number of action figures you need to complete your collection "x". Based on the information given, we know that 30 action figures is 40% of x, so we can write the equation:

30 = 0.40x

To solve for x, we'll divide both sides of the equation by 0.40:

x = 30 / 0.40

x = 75

So, the total number of action figures you need to complete your collection is 75. Since you purchase 5 action figures per week, it will take you 75 / 5 = 15 weeks to complete your collection.

Step-by-step explanation:

Answer:

x^2 + 3x + 2

Step-by-step explanation:

(x + 2) * (x + 1) =

= x * x + x * 1 + 2 * x + 2 * 1 =

= x^2 + x + 2x + 2 =

= x^2 + 3x + 2

The answers include the following:

This is referred to as a mathematical operation in which two or more numbers or quantities are added together to form a sum.

3x = 18

x = 18/3 = 6

x+9 =22

x = 22-9 = 13

x/4 = 6

x = 6 × 4 = 24

x-12 =19

x = 19+12 =31

2x + 9 = 25

2x = 25-9 =16

x=16/2 = 8

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Answer:

Step-by-step explanation:

Evaluate the expression 10 - 2x for the x-values given below.

a. x = 2 \quad b. x = \frac {1}{2}\quad c. x = -2

a.x=2b.x=

2

1

​

a.x=-2

Answer:t he autocorrelation of the time series X at lag 2 is approximately -0.018.

Step-by-step explanation:

To find the autocorrelation of the time series X at lag 2, we need to calculate the covariance between X(t) and X(t-2). This can be done using the following formula:

r(2) = cov(X(t), X(t-2)) / var(X(t))

where cov(X(t), X(t-2)) is the covariance between X(t) and X(t-2), and var(X(t)) is the variance of X(t).

To calculate the covariance, we'll use the following formula:

cov(X(t), X(t-2)) = sum((X(t) - mean(X(t))) * (X(t-2) - mean(X(t-2)))) / (n - 1)

where n is the number of observations in the time series. To calculate the variance, we'll use the following formula:

var(X(t)) = sum((X(t) - mean(X(t)))^2) / (n - 1)

First, let's calculate the mean of X(t):

mean(X(t)) = (47 + 64 + 23 + 71 + 38 + 64 + 55 + 41 + 59 + 48) / 10 = 51

Next, let's calculate the covariance between X(t) and X(t-2):

cov(X(t), X(t-2)) = sum((X(t) - 51) * (X(t-2) - 49)) / (10 - 1) = -10.3

Finally, let's calculate the variance of X(t):

var(X(t)) = sum((X(t) - 51)^2) / (10 - 1) = 563.7

Plugging in these values, we can find the autocorrelation at lag 2:

r(2) = cov(X(t), X(t-2)) / var(X(t)) = -10.3 / 563.7 = -0.018

So the autocorrelation of the time series X at lag 2 is approximately -0.018.

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The lower and upper bounds of h - k are 42.31 and 42.49 respectively.

Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy.

The upper and lower bounds can be written using error intervals

The lowest value of h is 47.15

The greatest value of h is 47.24

The greatest value of k is 4.84

The lowest value of k is 4.75

Thus upper bound of h -k = 47.24 - 4.75 = 42.49

Thus lower bound of h -k = 47.15 - 4.84 = 42.31

Thus the lower and upper bounds of h - k are 42.31 and 42.49 respectively. dont forget mark me brainliest

All of the options which are true of similar shapes include the following:

A. They must be the same shape.

D. They can be different sizes.

In Mathematics, two (2) geometric shapes are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):

This ultimately implies that, two (2) similar geometric shapes can have different sizes depending on the scale factor that is applied.

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Answer:

C. 2

Step-by-step explanation:

A polynomial function has one or more real numbers as roots or zeros. These roots correspond to the values of x for which the function takes on the value of zero.

In this case, y = (x-2)(x+3)², we can factor the equation to find its zeros. The expression (x-2)(x+3)² can be factored into two terms: (x-2) and (x+3)².

The first term, (x-2), is equal to zero when x = 2, meaning that x = 2 is a root of the function.

The second term, (x+3)², is equal to zero when x = -3, meaning that x = -3 is another root of the function.

So, the function y = (x-2)(x+3)² has two roots, or zeros, at x = 2 and x = -3.

Greater freedom of movement, growing entrepreneurship, more contact with Western Europe.

three benefits came from the collapse of communism in eastern europe

Entrepreneurship is the creation or receipt of financial rewards. Under this definition, entrepreneurship is generally viewed as a change that involves more risk than is normally incurred when starting a business, and that may also involve value beyond its actual economic value.

An entrepreneur is a person who creates and/or invests in one or more groups while taking maximum risk and enjoying maximum return. [citation needed] The way to start a business is known as entrepreneurship. Entrepreneurs are usually seen as innovators, sources of new ideas, objects, offerings and ventures/technologies.

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Answer: The answer is A. (-∞0, +00)

The Pythagorean inequality is given below.

Statement of Pythagoras theorem:

“In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.

                                        [tex]AC^{2}=AB^{2} +BC^{2}[/tex]

Let ABC be a triangle with the longest side opposite B

We can also write as follows:

If [tex]AC^{2} > AB^{2} +BC^{2} \\[/tex], then B is an obtuse angle.

If [tex]AC^{2} < AB^{2} +BC^{2} \\[/tex], then B is an acute angle.

If [tex]AC^{2}=AB^{2} +BC^{2}[/tex], then B is a right angle.

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Answer: Vertical asymptotes are = [tex]-4, 1,4[/tex]

Horizontal asymptote = [tex]y=0[/tex]

Step-by-step explanation:

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