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The number of people that should be selected to guarantee that at least 6 were born on the same day are, 2190

The worst case scenario is one of the many possible cases where the desired outcome comes after every other probable outcome has already occurred. This case can be used to determine the number of turns with would require to make sure the desired outcome is achieved.

The number of people that will ensure at least 7 people have their birthday one single day of a non-leap year (365 days) can be determined by considering that in the number of people picked in each trial, no two people have their birthday on the same day.

According to this process, if we pick 365 people, each one is born on a different day.

We repeat this selection 6 times, and the worst-case scenario is that on each day of the year, there are 6 people who are born on that day. The total number of people selected are

365×6 = 2190.

Now, as we select one more person, the number of people born on a day for one of the days in the year will increase to 7.

Hence, the number of people that should be selected to guarantee that at least 6 were born on the same day are, 2190

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At the highest level of discrete value two kinds of data which are  exists as quantitative and qualitative.

Quantitative data which deals with numbers and things that can be measure objectively that are dimensions such as height, width, and length. Temperature as well as  humidity. Prices. Area and volume. Qualitative data deals with characteristics and descriptors that can't be easily measured, but can also be observed subjectively such as smells, tastes, textures, attractiveness, and color. if we measure something and give it a number value, we create as  quantitative data. When we classify or judge something, we create qualitative data.  hence  the highest level of data are also different types of quantitative and qualitative data. There are two types of quantitative data, which is also said  as numeric data of continuous and discrete. in general rule, counts are discrete and measurements are continuous. Discrete data  count that can't be made as more precise. Typically it involves the number of  integers. For  at instance

Continuous data, on the other hand, of variable  could be divided and reduced to maximally of  finer and finer levels.

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Answer:

39

Step-by-step explanation:

1190 + 2125 = 3315 (number of beads)

3315/85 = 36 (number of bracelets jasmine can make)

Answer:

18 days

Step-by-step explanation:

The null and alternative hypotheses for testing the claim that the proportion of people who own cats is significantly different from 90% at the 0.02 significance level are:

H0: p = 0.9 (proportion of cat owners is 90%)

H1: p ≠ 0.9 (proportion of cat owners is not equal to 90%)

Based on a sample of 500 people, where 82% owned cats, we can conduct a hypothesis test to determine the p-value at the 0.02 significance level. The p-value is the probability of obtaining a sample proportion as extreme as the observed proportion (82%) assuming the null hypothesis is true.

The p-value for this test is the probability of observing a sample proportion as different from 90% as 82%. Since the p-value is not provided in the question, it needs to be calculated based on the sample data and the assumed null distribution.

If the p-value is less than 0.02, we would reject the null hypothesis and conclude that the proportion of cat owners is significantly different from 90%. However, if the p-value is greater than or equal to 0.02, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference in the proportion of cat owners from 90%.

Without the calculated p-value, we cannot make a definitive conclusion about rejecting or failing to reject the null hypothesis.


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Answer:

Step-by-step explanation:

13 and 67

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

Approximately 34.1% of students earn a score between 75% and 89%.
the correct answer is 34.1%.

Approximately what percent of students earn a score between 75% and 89%?

To solve this problem, we need to calculate the area under the normal distribution curve between 75% and 89%.
First, we need to convert the scores into z-scores using the formula:
z = (x - mean) / standard deviation

For 75%, the z-score is (75 - 89) / 14 = -1
For 89%, the z-score is (89 - 89) / 14 = 0

Next, we use a standard normal distribution table or calculator to find the area under the curve between these two z-scores.

The area between -1 and 0 is approximately 0.3413, which is equivalent to 34.1%.

Therefore, approximately 34.1% of students earn a score between 75% and 89%.

So the correct answer is 34.1%.

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Answer:

  9 ordered pairs

Step-by-step explanation:

The requirement that the harmonic mean of two positive integers be 20 places a restriction on what those integers may be.

  20 = 2/(1/x +1/y)

  y = 10x/(x -10)

Integer values of x that produce integer values of y are ...

  x ∈ {11, 12, 14, 15, 20, 30, 35, 60, 110}

The corresponding 9 ordered pairs are ...

  (11, 110), (12, 60), (14, 35), (15, 30), (20, 20), (30, 15), (35, 14), (60, 12), (110, 11)

Answer:

y=2x+4

Step-by-step explanation:

m is slope.

Slope is change in y over change in x.

Line goes up (+y) two for every move to the right (+x), so the slope is 2.

B is the y-intercept, where the line crosses the y-axis. It crosses at 4, so B is 4.

Plug those into y=mx+b to get

y=2x+4.

Answer:

y=15, 9, 3, -3

Step-by-step explanation:

if x=-4, y=-3x+3

y=-3(-4)+3

y=12+3

y=15

if x=-2, y=-3x+3

y=-3(-2)+3

y=6+3

y=9

if x=0, y=-3x+3

y=-3(0)+3

y=0+3

y=3

if x=2, y=-3x+3

y=-3(2)+3

y=-6+3

y=-3

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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Answer:

14 x 4

Step-by-step explanation:

volume = base area x height

volume = length x width x height

volume = 2 x 7 x 4 = 14 x 4

or

the hole box = total volume of 4 levels of the 14 box on top of each other

so it is 14 x 4

Answer: y=-25

Step-by-step explanation:

step 1: simplify both sides of the equation

y+9=−16

step 2: subract 9 from both sides

y+9−9=−16−9

y=−25

Answer: wider distribution.

Step-by-step explanation:

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

To transform the regression equation, you would divide both sides of the equation by the square root of Var(ut), which is σ√(zt). This transformation helps in obtaining the transformed regression coefficients and standard errors that account for the heteroscedasticity in the error term.

When the variance of the error term (ut) is related to a known variable (zt), it implies the presence of heteroscedasticity in the regression model. Heteroscedasticity means that the variability of the error term is not constant across different levels of the independent variables.

To address this issue, we can transform the regression equation by dividing both sides by the square root of the variance of the error term, which is σ√(zt). This transformation is known as the weighted least squares (WLS) estimation.

By dividing both sides of the equation, we can obtain the transformed regression equation with the error term divided by its standard deviation. This transformation accounts for the heteroscedasticity by giving different weights to the observations based on the variability of the error term. It allows for a more appropriate estimation of the regression coefficients and standard errors, as it gives more weight to observations with smaller error variances and less weight to observations with larger error variances.

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Answer:

When adding or subtracting a constant outside the radical sign, it only affects the overall value of the expression, but not the square root itself. The square root symbol only applies to the value inside it, so any constant added or subtracted outside will not change the result of the square root. For example:

√(9 + 4) = √9 + √4 = 3 + 2 = 5

√(9) + 4 = 3 + 4 = 7

As you can see, adding or subtracting a constant outside the radical sign only changes the final result of the expression, but not the value inside the square root.

Answer:

the effect is when graphing the constant determines how far up or down to move it, compared to the original parent function.

Step-by-step explanation:

The band boosters had custom t-shirts made for homecoming and need to sell a certain number of shirts to cover their expenses. An equation, 10x = 25.90 + 8.15x, can be used to determine the number of shirts they need to sell to break even.

Let's break down the given information and formulate an equation to represent the situation.

The band boosters paid a setup fee of $25.90 and an additional cost of $8.15 per shirt to have the custom t-shirts made. They plan to sell each shirt for $10.

Let's represent the number of shirts they need to sell as 'x'. The cost to produce 'x' shirts would be the sum of the setup fee and the cost per shirt multiplied by the number of shirts:

Cost to produce 'x' shirts = Setup fee + (Cost per shirt × Number of shirts)

Using the given values, the equation becomes:

Cost to produce 'x' shirts = $25.90 + ($8.15 × x)

To break even, the revenue from selling the shirts should equal the cost to produce them. The revenue can be calculated by multiplying the selling price per shirt ($10) by the number of shirts sold:

Revenue from selling 'x' shirts = Selling price per shirt × Number of shirts sold

The equation representing the situation can be written as:

$10x = $25.90 + ($8.15 × x)

Simplifying the equation, we have:

10x = 25.90 + 8.15x

Now we have the equation that represents the situation.

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About 12.9% of businesses in the United States are partnerships.

As of 2021, there were approximately 32.5 million businesses in the United States, according to the Small Business Administration (SBA). Of those, about 4.2 million were classified as partnerships.

To find the percentage of businesses that are partnerships, we can divide the number of partnerships by the total number of businesses and then multiply by 100:

$\frac{4.2 \text{ million}}{32.5 \text{ million}} \times 100% \approx 12.9%$

Therefore, about 12.9% of businesses in the United States are partnerships.

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In conclusion, the conveyor belt moves at a rate of approximately 100.54 centimeters per second.

Since the information should be concise, I'll focus on the important parts and provide a step-by-step explanation.
1. Each roller has a radius of 8 centimeters.
2. The rollers turn at a rate of 2 revolutions per second.
Step 1: Calculate the circumference of one roller.
Circumference = 2 * π * radius
Circumference = 2 * π * 8 cm
Circumference ≈ 50.27 cm
Step 2: Calculate the distance the conveyor belt moves in one revolution.
Since the belt is wrapped around the rollers, it moves the same distance as the roller's circumference.
Distance per revolution ≈ 50.27 cm
Step 3: Calculate the distance the conveyor belt moves per second.
Distance per second = distance per revolution * revolutions per second
Distance per second ≈ 50.27 cm * 2
Distance per second ≈ 100.54 cm
In conclusion, the conveyor belt moves at a rate of approximately 100.54 centimeters per second.

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Answer:

7

Step-by-step explanation:

The domain of this function graph is A) [0,∞) as the graph does not include input values less than 0.

It is a visual representation of the relationship between two variables, usually expressed as an equation. The domain of a function graph is the set of all possible input values, typically expressed as a range of numbers. In this case, the function graph has a domain of [0,∞).

The reason why the domain of this graph does not include input values less than 0 is because the graph does not contain any points for which the x-value is negative.

The graph starts at the origin, where the x-value is 0, and continues upward from there.

This means that the graph does not include any points where x is negative, and therefore its domain does not include any negative numbers.

To determine the domain of a function graph, look at the x-values of the points in the graph.

If the graph includes any negative numbers, then the domain includes negative numbers.

If the graph does not include any negative numbers, then the domain includes only positive numbers, starting at 0.

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Question:

What's the domain of this function graph?

A)

[0,∞)

B)

[1,∞)

C)

(–∞,∞)

D)

(–∞, 0)

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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A logarithm that is equal to the number of years it will take for the population to increase to 15,000 students is: 4. \(\frac{ln(1.25)}{0.025}\)

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

\(A(t) = P_{0}e^{rt}\)

Where:

By substituting the given parameters into the formula for compound interest, we have the following;

\(15000 = 12000e^{0.025t}\\\\\frac{15000}{12000} = e^{0.025t}\\\\1.25=e^{0.025t}\)

By taking the natural logarithm (ln) of both sides, we have:

ln(1.25) = 0.025t

\(t=\frac{ln(1.25)}{0.025}\)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

If bill is 28 years older than him, but also 3 times older than him, then you divide 28 by 3, which gives you 9.3. So that means kevin is around 9 1/4 years old and bill is around 37 and 1/4 years old, but you dont ahve to count the fraction if you dont want to, all that matters is the whole number.

Step-by-step explanation:

Bill is 42, while Kevin is 14 years old

Represent Bill's age with B, and Kevin's age with K.

So, we have the following equations

B = 3K and B = 28 + K

Substitute 3K for B in the second equation

\(3K = 28 + K\)

Collect like terms

\(-K + 3K = 28\)

\(2K = 28\)

Divide both sides by 2

\(K = 14\)

Substitute 14 for K in the first equation

\(B =3 \times 14\)

\(B =42\)

Hence, Bill is 42, while Kevin is 14 years old

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