how many people must be present to guarantee that at least three of their birthdays are in one of the months january, february, march, april or at least four of their birthdays are in one of the remaining months?

15 liquids that can be found in a kitchen include:

15 solids in a kitchen are:

When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.

As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.

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When there were 375 men and 475 women, the simple ratio of men to women clients was 15/19.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Here,

Total customers=850

Total number of men=375

Total number of women,

=850-375

=475

The ratio of men to women customers,

=375/475

Divide both terms by the GCF 25,

375 ÷ 25 = 15

475 ÷ 25 = 19

=15/19

The ratio of men to women customers in its simplest form is 15/19 when there were 375 men and 475 women.

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I have attached n image showing this dot plot.

Answer:

Median

Step-by-step explanation:

In measures of centre of data are usually; mean, median and mode.

Now, mean is the best measure of centre to use when the data set is symmetric or approximately normal.

Secondly, the best to use when the data is asymmetric as a result of having outliers would be median due to the fact that it exhibits robustness to the outliers.

Since the dot plot contains 2 extreme values which are known as outliers, from the definition given earlier, we can say that the best measure of centre to use will be "median"

Answer:

y = -x + 30

Step-by-step explanation:

You will want to put the equation in the form y = mx + b where m is the slope and b is the y-intercept (an example is y = 2x - 1).

First, to find the slope you want to find how much x goes up by when y goes up by 1. You know from the table that when y goes up by 5, x goes up by -5 (using the points (10, 20) and (5, 25))

Then, you can divide each value by 5, so it would be when y goes up by 1, x goes up by -1. That means the slope is -1.

So far, the equation is y = -x + b. To find b, you can plug in one of the points you have and solve for b. For example, substitute in x = 10 and y = 20, so:

20 = -10 + b

add 10 to both sides

30 = b

So you know the equation is y = -x + 30

Please let me know if any parts of these explanation are confusing, I definitely think this concept can be confusing at time. Good luck with your work! :)

Answer:

To create an equation, you need to find the slope first. The slope formula is \(\frac{y^2-y^1}{x^2-x^1}\). Let's use two random coordinates: (10,20) and (5,25). Plug in these digits into the formula to get \(\frac{25-20}{5-10}\). Simplify to get \(\frac{5}{-5}\) or -1. The equation would look like y=-x+b. Now we need to find b. Again, let's use a random coordinate: (10,20). Plug in the digits into the variables to get 20=-10+b. Add 10 on both sides to get 30=b. So, the equation would be y=-x+30.

Thales of Miletus is believed to be the first person who claimed that natural phenomena could be described by mathematics.

Thales of Miletus was a Greek philosopher, mathematician, and astronomer who lived around 624 BCE to 546 BCE. He is widely regarded as one of the Seven Sages of Greece and is known for his contributions to various fields, including geometry, astronomy, and philosophy.

Thales believed that everything in the universe could be explained by natural causes rather than the actions of gods or other supernatural forces. He also believed that these natural phenomena could be described mathematically. For example, Thales was able to predict an eclipse of the sun using his knowledge of geometry and astronomy.

Therefore, Thales of Miletus is often regarded as the first scientist in history because of his emphasis on using reason and evidence to explain the natural world.

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Answer:

the answer is b)20+5x=55

Answer:

x = 2, 6

Step-by-step explanation:

differentiate f(x) using the power rule

f'(a\(x^{n}\) ) = na\(x^{n-1}\) and f'( constant) = 0

given

f(x) = x³ - 12x² + 6x - 8

f'(x) = 3x² - 24x + 6

equate f'(x) to - 30

3x² - 24x + 6 = - 30 ( add 30 to both sides )

3x² - 24x + 36 = 0 ( divide through by 3 )

x² - 8x + 12 = 0 ← in standard form

(x - 2)(x - 6) = 0 ← in factored form

equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 6 = 0 ⇒ x = 6

solution is x = 2, 6

Error: She did not fully simplify \(\sqrt{12x^{3}}\)

Correct simplification:

\(5x\sqrt{48x^{5}}\\\\=5x\sqrt{16x^{4}}\sqrt{3x}\\\\=5x(4x^{2})\sqrt{3x}\\\\=20x^{3}\sqrt{3x}\)

B. 31

C. 0

Note that:

Whole numbers are positive integers (counting numbers) and zero

They are numbers from zero and above that are neither decimal nor fractions

The whole numbers among the options are 31 and 0

Given:

Entrance fee per student: $5(29)

Lunch costs: $4(29 + 6)

Bus fees: $25 + 8($2 + $3)

Total cost: 5(29) + 4(35) + 25 + 8(5)

To find:

The equivalent expressions of the total cost that use the properties of operations to simplify the math.

Solution:

We have,

Total cost = 5(29) + 4(35) + 25 + 8(5)

To simply this expression, we need to write 29 and 35 in the expand form or as the sum of their place values because it is easy to multiply a number with multiply of 10 and single digit.

Total cost = 5(20+9) + 4(30+5) + 25 + 40

Therefore, the correct option is B.

Answer:

Entrance fee per student: $5(29) Lunch costs: $4(29 + 6) Bus fees: $25 + 8($2 + $3) Total cost: 5(29) + 4(35) + 25 + 8(5) To find: The equivalent expressions of the total cost that use the properties of operations to simplify the math. Solution: We have, Total cost = 5(29) + 4(35) + 25 + 8(5) To simply this expression, we need to write 29 and 35 in the expand form or as the sum of their place values because it is easy to multiply a number with multiply of 10 and single digit. Total cost = 5(20+9) + 4(30+5) + 25 + 40 Therefore, the correct option is B.

Step-by-step explanation:

copy me above :)))

The correct option is D. 0%.

The annual realized return for Amazon.com is 0%.

An average annual total return would be the geometric average sum of money generated by an investment over a specific time period.

Some key features of annual realised/total returns are-

Now, according to the question;

The realized returns for 4 quarters are;

15%, 15%, -15%, and-15%

Thus,

Annual realized return = (sum of realized return of 4 quarters)/ 4

                                     = (15% + 15% - 15% - 15%)/4

Annual realized return = 0%

Therefore, the annual realized return for Amazon.com is 0%.

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The correct question is-

Amazon.com stock prices gave a realized return of 15%, 15%, -15%, and-15% over four successive quarters. for the year? What is the annual realized return for Amazon.com A. -445% B. -7.12%c. -5.12% D. 0%

Andreas Höring and Thomas Peternell have made significant contributions to the study of algebraic integrability of foliations with numerically trivial canonical bundle.

Andreas Höring and Thomas Peternell are mathematicians who have made significant contributions to the study of algebraic integrability of foliations with numerically trivial canonical bundle.

Algebraic integrability refers to the property of a foliation (a geometric structure defined on a manifold) to have certain algebraic properties. In particular, it relates to the existence of rational functions that preserve the foliation structure.

A foliation is said to have a numerically trivial canonical bundle if the line bundle associated with the canonical divisor of the foliation has degree zero on every curve. The canonical bundle is a fundamental object in algebraic geometry that captures the intrinsic geometry of a variety.

Höring and Peternell have studied the algebraic integrability of foliations with numerically trivial canonical bundle from various perspectives. They have investigated the existence and properties of meromorphic first integrals, which are rational functions that preserve the foliation. These integrals play a crucial role in understanding the dynamics of the foliation.



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Complete question:

Aandreas höring and thomas peternell. algebraic integrability of foliations with numerically trivial canonical bundle. prove that the the algebraicity of leaves for sufficiently stable foliations with numerically trivial canonical bundle.

The standard error for the sample proportion is 0.014.

The standard error for a sample proportion is a measure of the variability or uncertainty in estimating the population proportion based on a sample. It is calculated as the square root of the product of the sample proportion and its complement, divided by the sample size. In this case, the sample proportion is 0.79 (or 79%), which represents the proportion of students who prefer online resources. The complement of the sample proportion is 1 - 0.79 = 0.21 (or 21%), which represents the proportion of students who prefer printed materials. The formula to calculate the standard error for the sample proportion is:

Standard Error = √((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

Plugging in the values, we have:

Standard Error = √((0.79 * 0.21) / 540) = 0.014

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Answer:

cweds

Step-by-step explanation:

Given conditions: Initial height, h0 = 0.8 m Initial velocity, u = 37 m/s Acceleration due to gravity, a = -9.8 m/s²Using the equations of motion, we have: v(t) = u + at

The velocity of the ball v(t) at time t is given as,

v(t) = 37 - 9.8tv(t) = 37 - 9.8t m/s

Height is given by the relation,

h(t) = h0 + ut + ½at²

The height of the ball h(t) at time t is given as:

h(t) = 0.8 + 37t - 4.9t² meters/sec

When a ball is thrown upward, it moves against the force of gravity acting on it. As soon as the ball is thrown upward, it begins to lose its speed as it moves against gravity, which opposes the motion of the ball. At the highest point of the ball's motion, its speed is momentarily zero. The ball then begins to fall back to earth, increasing in speed again as it moves in the direction of the gravitational pull. The velocity of the ball at any point in time can be calculated using the formula v(t) = u + at, where v(t) is the velocity of the ball at time t, u is the initial velocity of the ball, and a is the acceleration of the ball due to gravity. The height of the ball can be calculated using the formula:

h(t) = h0 + ut + ½at²,

where h(t) is the height of the ball at time t, h0 is the initial height of the ball, u is the initial velocity of the ball, and a is the acceleration of the ball due to gravity. Neglecting air resistance, the velocity of the ball v(t) and the height of the ball h(t) at any point in time t can be calculated using the above formulas.

In conclusion, the velocity v(t) and the height h(t) of the ball at any point in time t can be calculated using the formulas v(t) = u + at and h(t) = h0 + ut + ½at² respectively. For the given conditions of initial height, h0 = 0.8 m, initial velocity, u = 37 m/s, and acceleration due to gravity, a = -9.8 m/s², the velocity of the ball v(t) and the height of the ball h(t) at any point in time t can be calculated as v(t) = 37 - 9.8t m/s and h(t) = 0.8 + 37t - 4.9t² meters/sec respectively, neglecting air resistance.

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Answer:

x = - 1

Step-by-step explanation:

Given

\(\frac{x-7}{4}\) = - 2 ( multiply both sides by 4 to clear the fraction

x - 7 = - 8 ( add 7 to both sides )

x = - 1

Answer:

x= -1

Step-by-step explanation:

Answer:

The price of T-shirts before the sale = 42 euros

The price of scarves before the sale = -77/2 euros

Step-by-step explanation:

The cost of the items Zina buys from the store initially are;

Two scarves and three T-shirts for 49 euros

The reduction in the price of scarves a week later during sales = 1.5 euros

The reduction in the price of T-shirts a week later during sales = 2 euros

The items Zina bought for 40 euros at the reduced price of the sales opportunity are;

Four scarves and five T-shirts for 40 euros

Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we  have;

2·x + 3·y = 49...(1)

4·(x - 1.5) + 5·(y - 2) = 40...(2)

Expanding equation (2) gives;

4·x - 6 + 5·y - 10 = 40

4·x + 5·y = 40 + 6 + 10 = 56

∴ 4·x + 5·y = 56...(3)

By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;

4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63

-y = -42

y = 42

The price of T-shirts before the sale = 42 euros

x = (49 - 3 × 42)/2 = -77/2

x = -77/2

The price of scarves before the sale = -77/2 euros

(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;

The price of T-shirts before the sale = 12 euros

The price of scarves before the sale = 6.5 euros.

The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)

We are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

The point estimate for the difference in proportions between France and the United States is:

p₁ - p₂ = (60/120) - (26/50) = 0.5 - 0.52 = -0.02

We can use the following formula to calculate the standard error of the difference in proportions:

SE = √(p₁ * (1 - p₁) / n₁ + p₂ * (1 - p₂) / n₂)

where n₁ and n₂ are the sample sizes.

SE = √((0.5 * 0.5 / 120) + (0.52 * 0.48 / 50))

SE = 0.0936

To construct a 90% confidence interval, we can use the formula:

(point estimate) ± (critical value) * (standard error)

The critical value for a two-sided 90% confidence interval with 169 degrees of freedom (calculated as df = (p₁ * n₁ + p₂ * n₂) / (p₁ + p₂)) can be found using a t-distribution table or calculator.

For a 90% confidence level, the critical value is approximately 1.656.

Using these values, the 90% confidence interval for the difference in proportions is:

-0.02 ± 1.656 * 0.0936

which simplifies to:

-0.1783 to 0.1383

Therefore, we are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.

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Answer:

Kindly check explanation

Step-by-step explanation:

From the table above :

Find the value of a-g

a) Σfrequency:

(4+2+3+12+7+2+4+20+5+7+2+12) = 80

b) 3 / 80 = 0.0375

C) 20 / 80 = 0.250

D) (4 + 2 + 3 +12 + 7) = 28

E) (59 + 7) = 66

F) (0.375 + 0.050) = 0.425

G) (0.850 + 0.150) = 1

Answer:

t = 4d + 5

Step-by-step explanation:

The answer can be obtained through trial and error method.

Checking :

(1) d = 1

t = 4d + 5

t = 4 (1) + 5

t = 4 + 5

t = 9

(2) d = 5

t = 4d + 5

t = 4 (5) + 5

t = 20 + 5

t = 25

a. There are 54 elements in the sample space.

b. P(A) = 0.2778

c. No, events A and B are not mutually exclusive.

d. No, events A and C are not mutually exclusive.

a. To find the total number of elements in the sample space, we need to multiply the number of cards by the number of possible outcomes from the coin toss. Therefore, the sample space has 54 elements (9+11+7) x 2.

b. The probability of event A is the probability of picking a green card first (9/27) multiplied by the probability of getting a head on the coin toss (1/2). Therefore, P(A) = (9/27) x (1/2) = 0.2778 (rounded to 4 decimal places).

c. Events A and B are not mutually exclusive because it is possible to pick a red or blue card and still have a head on the coin toss. Therefore, there are some elements in the sample space that belong to both events.

d. Events A and C are not mutually exclusive because it is possible to pick a green card and still have a head on the coin toss. Therefore, there are some elements in the sample space that belong to both events.

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Answer:

undefined

Step-by-step explanation:

The slope of a line is given by

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

    = ( -19 -23)/(-32 - -32)

     = 42 / 0

Dividing by zero gives us an undefined answer so the slope is undefined

Using the concepts of continuous and discrete variables it is found that the reaction time of students would be a continuous variable.

This problem is incomplete, but researching it on a search engine, it asks to classify the variable reaction time of students as discrete or continuous.

A reaction time of 500.5 milliseconds is a valid reaction time, hence a decimal value is accepted, meaning that the reaction time of students would be a continuous variable.

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Answer:

x ∈ { ( 6 + \(\sqrt{23}\) * i) , { ( 6 - \(\sqrt{23}\) * i) }

Step-by-step explanation:

Given: \(x^2-12x+59=0\)

First, collect like terms. \(x^2\) and -12x, 59 and 0:

\(x^2-12x=0-59\)

+59 is changed to -59 when transferred. Then subtract:

( x - 12 ) x = -59

Finally divide both sides by -59:

x ∈ { ( 6 + \(\sqrt{23}\) * i) , { ( 6 - \(\sqrt{23}\) * i) }

To get from the number of eggs used to make a certain number of cookies to the number of eggs needed to make some other number of cookies, you would use a proportional relationship.

Let's say x represents the number of eggs used to make a certain number of cookies, y represents the number of cookies made, and z represents the number of eggs needed to make some other number of cookies.

Then, we can set up the proportion:

x eggs / y cookies = z eggs / (some other number of cookies)

We can then solve for z by cross-multiplying:

z eggs = x eggs * (some other number of cookies) / y cookies

This formula tells us how many eggs are needed to make the specified number of cookies, based on the number of eggs used and the number of cookies originally made.

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Answer:

Let the first equation be x + y = 10

x = 10 -y

2nd equation will be 1x + 1.2y = 11

Substituting in 2nd equation

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

.2y = 1

y = 5

If y = 5, x = 5: coz x + y = 10

She have buy 5 stamps of each $1 stamps and  5 stamps of each $1.20 stamps.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Let the first equation be;  

x + y = 10

x = 10 -y

2nd equation will be,

1x + 1.2y = 11

Substituting in 2nd equation;

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

0.2y = 1

y = 5

If y = 5, x = 5:

x + y = 10

Hence, She have buy 5 stamps of each $1 stamps and  5 stamps of

each $1.20 stamps.

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Answer:

  16.  -2 . . . thousand

  17. a = 20 -2(m -1) . . . . . a = amount (thousands); m = month

  18. a(11) = 0

Step-by-step explanation:

Given a plan to pay down a credit card so that the amounts remaining in months 1, 2, 3 are 20, 18, 16 thousands, you want to know the common difference, the explicit formula, and the amount to be paid in month 11.

The difference between remaining amounts is ...

  18 -(20) = -2 . . . . thousands

It is the same for each pair of successive months, so is a common difference.

The sequence of remaining amounts is an arithmetic sequence. The explicit formula for an arithmetic sequence can be written ...

  a(n) = a(1) +d(n -1)

We have first term a(1) = 20, and common difference d = -2, so the explicit formula for the remaining amount in thousands can be ...

  a(m) = 20 -2(m -1) . . . . . . where m is the month number

The amount remaining in month 11 is found using the above formula:

  a(11) = 20 -2(11 -1) = 0

The remaining amount to be paid in month 11 is 0.