1. What does the trend look like
2. Do the variables show a positive, negative correlation? Or is there no apparent relationship between them

1. The modal number of pairs of shoes owned by the children is 3.

2. The median number of pairs of shoes owned by the children is 3.

3. The Mean is 3.

1. The modal number of pairs of shoes owned by the children is 3.

2. The median number of pairs of shoes owned by the children

= 14/2 th term

= 7 th term

= 3

3. The Mean

= (1 x 2+ 2 x 3+ 3 x 5+ 4 x 2 + 5 x 1+ 6x 1)/ (2 +3 +5 +2 + 1 +1)

= 42/14

= 3

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One way in which water resources are consumed, given the options would be d. all of the above.

Water resources are consumed through various means, including drinking, industrial usage, and business operations. The availability and utilization of water play a pivotal role in multiple sectors.

Water serves as a fundamental resource for human and animal hydration, industrial processes, and diverse commercial activities. These sectors rely on water to fulfill their operational requirements, leading to the overall consumption of water resources.

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The full question is:

Which of the following is a way in which water resources are consumed? a. drinking b. industry c. business d. all of the above

Answer:

75 dollars.

Step-by-step explanation:

Each person costs 25 dollars and p=3 we just put this into a equation.

25 × 3 = 75

C = 75

Based on the specific output of the ANOVA test, such as the F-statistic and p-value, further conclusions can be drawn about the differences in mean per customer purchase by the day of the week.

I can explain the general concept of an ANOVA test in this context. In your case, the fast food chain operation wants to determine if the mean per customer purchase differs by the day of the week. To test this hypothesis, they collected random samples of customers for each day of the week.

An ANOVA test is used to compare means across multiple groups or categories. In this scenario, the days of the week would be the different groups. The null hypothesis (H0) would state that there is no difference in the mean per customer purchase across the days of the week. The alternative hypothesis (Ha) would suggest that there are significant differences in the means.

The ANOVA test calculates the F-statistic, which compares the variability between the group means to the variability within the groups. If the F-statistic is large enough and the associated p-value is below a predetermined significance level (e.g., 0.05), then the null hypothesis is rejected, indicating that at least one group mean is significantly different from the others.

Based on the specific output of the ANOVA test, such as the F-statistic and p-value, further conclusions can be drawn about the differences in mean per customer purchase by the day of the week.

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Using the Binomial probability distribution,

The probability that exactly two customers in the sample will default on their payments is 0.31..

We have given that,

4% of total customers a mortgage company default on their payments .

The probability of success i.e number of customers default on their payments (p) = 4%

= 0.04

The probability of failure (q) = 1-p = 1-0.04 = 0.06

Total number of customers in sample (n) = 20

we have to find out the probability that exactly two customers in the sample will default on their payments.

Using the Binomial probability distribution,

P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

the required probability is P(X= 2 )

Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸

=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31

Hence, the required probability is 0.31

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Answer:

A is the correct answer i took the test

The equation of the given parabola is: y = (x - 4)² + 2

The equation of the given parabola graphed below, which is concave up and has a vertex located at coordinates (4, 2), can be determined using the standard form of the equation of a parabola. The equation of the given parabola with a vertex at (4, 2) can be found using the standard form of the equation of a parabola.

The standard form of the equation of a parabola is y = a(x - h)² + k, where (h, k) is the vertex and a is the constant determined by the focus and directrix of the parabola

Since the given parabola is concave up and has a vertex located at (4, 2), we know that the equation of the parabola must be of the form: y = a(x - 4)² + 2The value of a is determined by the distance between the vertex and focus of the parabola. Since the parabola is concave up, the focus is located above the vertex and the directrix is located below the vertex, both equidistant from the vertex.

The distance from the vertex to the focus is equal to a, and the distance from the vertex to the directrix is also equal to a. Since the vertex is located at (4, 2), the focus is located at (4, 2 + a), and the directrix is located at y = 2 - a. The distance between the vertex and focus is given by the formula:

d = |y-coordinate of focus - y-coordinate of vertex|

d = |(2 + a) - 2| = |a|

Similarly, the distance between the vertex and directrix is given by:

d = |y-coordinate of directrix - y-coordinate of vertex|

d = |2 - a - 2| = |-a|

Since the distances are equal, we can equate them:

|a| = |-a|
a = ± a

However, we know that a must be positive since the parabola is concave up. Therefore, a = |a|, and we can write:

a = 2 + a - 2
a = a²
a² - a = 0
a(a - 1) = 0

Thus, a = 0 or a = 1. Since a cannot be equal to 0, we have a = 1. Therefore, the equation of the given parabola is:

y = (x - 4)² + 2

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Answer:85cm is kept comstant for a while

Step-by-step explanation:

For 2nd part

1m 80 cm

=1×100cm+ 80 cm

=100cm+ 80 cm

=180cm

So

#According to question,

If both are added then,

=85cm+180 cm

=265cm

please brainlest

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

dilated by 2/3 = shrink to 2/3, so it'll be smaller.

but their shape will be similar so correct answers:

Triangle X'Y'Z' is similar to triangle XYZ.

The perimeter of X'Y'Z' is 2/3 the perimeter of XYZ.

the area will be the square of the factor of 2/3

also it's been shrunk so it's not an enlargement

i. The formula that correctly relates Y and T is T=Y+1 and today's closing price is 33.

Given information is that:

Carlie's stock rose by 1 point in trading today.

Let Y represent yesterday's stock price at closing

Let T represent today's stock price at closing

=> formula that correctly relates Y and T is:

T=Y+1

ii) If yesterday's closing price was 32 what was today's closing price?

today's closing price = yesterday's closing price + 1

<=> T=Y+1  

<=> T=32+1=33.

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Answer: B) No, every x-value does not have exactly one y-value

Explanation:

We have the input x = 3 map to the outputs y = 2 and y = 8 at the same time. A function is only possible if any given x value goes to exactly one y value.

Put another way, if x repeats itself, then we don't have a function. This assumes we don't repeat the same y value when we repeat the x value.

True, Every normal unitary operator u: x! x exists.
False, An if only if it is invertible, a matrix qualifies as unitary.

What is the matrix?

A group of numbers built up in a rectangular array with rows and columns. The elements, or entries, of the matrix, are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

Here, we have

a. Every unitary operator U:X→X is normal as an operator A is unitary if A*A = AA* = I and an operator is normal if A*A = AA*.

Hence, every unitary operator u: x → x is normal.

b. A unitary matrix is always invertible but an invertible matrix need not be unitary. An invertible matrix A is unitary if A⁻¹ = A*

Hence, it is not true.

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Always check the quantity in each package to determine the appropriate number of hotdog bun packages needed for the given number of hotdog packages.
The dependent variable in this situation is the number of packages of hotdog buns needed, as it relies on the number of packages of hotdogs (the independent variable).

We want to know the dependent variable when considering the number of packages of hotdog buns needed for a certain number of packages of hotdogs.

Let me explain this relationship:
First, let's define the terms involved.

The dependent variable is the variable that depends on another variable (called the independent variable).

In this case, we are examining the relationship between the number of packages of hotdogs and the number of packages of hotdog buns needed.
The independent variable is the number of packages of hotdogs.

This is because the number of hotdog buns needed depends on the number of hotdogs you have.
The dependent variable, in this case, is the number of packages of hotdog buns needed.

This variable depends on the number of packages of hotdogs, as you need a certain amount of buns to accommodate the hotdogs.

To determine the relationship between these two variables, we would likely use a proportion or a ratio.

For example, if one package of hotdogs contains 10 hotdogs and one package of hotdog buns contains 10 buns, then the ratio is 1:1, meaning you need one package of hotdog buns for every package of hotdogs.
This relationship may vary depending on the number of hotdogs and buns in each package.

Remember to examine the proportion between the two variables to ensure you have the correct amount of buns for the hotdogs.

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Answer:

8x+7

Step-by-step explanation:

Use the given functions to set up and simplify  

(f+g)(x)

Answer:

8x + 7

Step-by-step explanation:

(f+g)(x)= f(x) +g(x) = 3x + 10 + 5x - 3 = 8x + 7

The shape of the resulting cross section of the hexagonal pyramid in the diagram given is: a hexagon.

A hexagonal pyramid is a pyramid with six lateral faces and an hexagonal base.

In the diagram, the plane cuts each of the lateral faces of the pyramid, giving a resultant shape that has 6 sides and angles, which is a hexagon.

Thus, the cross section shape is: a hexagon.

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Answer:

Step-by-step explanation:

The shape of the resulting cross section of the hexagonal pyramid in the diagram given is: a hexagon.

What is Hexagonal Pyramid?

A hexagonal pyramid is a pyramid with six lateral faces and an hexagonal base.

In the diagram, the plane cuts each of the lateral faces of the pyramid, giving a resultant shape that has 6 sides and angles, which is a hexagon.

Thus, the cross section shape is: a hexagon.

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The total number of possible values of k is 13

The sum of two sides of a triangle is more than the third side

11 + 15 > k

26 > k   ..(1)

difference between the two sides of a triangle is less than the third side

15 - 11 < k

4 < k   ...(2)

From (1) and (2)

4 < k < 26

Triangle to be obtuse

Either 11² + 15² < k²

or 11² + k² < 15²

For 11² + 15² < k²

k = 19, 20, 21, 22, 23, 24, 25

For 11² + k² < 15²

k = 5, 6, 7, 8, 9, 10

The total number of possible values of k is 13

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Answer:

5000

Step-by-step explanation:

1000 ÷ 2 = 500 x 10 = 5000

Answer:

Step-by-step explanation:

Formula for compound interest:

A= P(1+r/n)^n x t

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

We know that Serena pays annually meaning yearly (12 months or 1 year)

So after substituting all the numbers in,

A= 1000(1+0.02/12)^(12x10)

We change the rate to 0.02 because we must divide 2% by 100%. And divide the rate by number of times applied per time (n).

DISCLAIMER:

I have not done compound interest questions in a long time but if you want to confirm my answer, go to a calculator site and just input the numbers on there.

The solution to lim h→0 (9 + h)−1 − 9−1 h is -1/9.

To find the solution to lim h→0 (9 + h)−1 − 9−1 h, we can simplify the expression first.

Starting with (9 + h)−1, we can use the formula for the difference of squares to get:

\((9 + h)-1 = (9 + h - 9) / ((9 + h)(9 - 9)) = h / (9h + h^2)\)
Substituting this back into the original expression gives:

\((9 + h)-1 -9-1 h = h / (9h + h^2) - 1 / 9h\)

We can combine the two fractions by finding a common denominator of 9h(9 + h), giving:

(9h - (9 + h)) / (9h(9 + h)) = -1 / (9 + h)

Now we can take the limit as h approaches 0:

lim h→0 (9 + h)−1 − 9−1 h = lim h→0 -1 / (9 + h) = -1 / 9

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To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

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The cross-sectional area will be π*(y^2-x^2) as area of a circle with radius r is π*r^2.

Hence, The cross-sectional area will be π*(y^2-x^2) as area of a circle with radius r is π*r^2.

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The percentage answer is 32% of the beads on Tracy's necklace are blue.

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol "%". For example, 50% is equivalent to the fraction 1/2 or the decimal 0.5.

Percentages are commonly used to express proportions, rates, and changes over time in a wide range of fields, including finance, statistics, and science.

To find the percentage of beads that are blue, we can use the formula:

percentage = (part/whole) x 100%

In this case, the "part" is the number of blue beads (24) and the "whole" is the total number of beads (75). So we have:

percentage = (24/75) x 100%

percentage = 0.32 x 100%

percentage = 32%

Therefore, 32% of the beads on Tracy's necklace are blue.

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Brian Mai and Ricardo would need to wait approximately 100 minutes to get their turn on the slide at the water park.

One way to resolve this is by calculating the total time required for each person in the line, which can be done by multiplying the number of individuals in front of them by the amount of time taken per person.

In this case, that would be:

20 people * 5 minutes/person = 100 minutes.

So, Brian Mai and Ricardo would need to wait approximately 100 minutes to get their turn on the slide at the water park.

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The Complete Question

What is Brian Mai and Ricardo's wait time at the water park given that they are waiting for a slide that takes 5 minutes per person and there are 20 people ahead of them?

Answer:

Hello The answer is D

Step-by-step explanation:

Why would you submit FICTIONAL dates for a autobiography about

your REAL life.

A. To find the value of 3 - 2, we simply subtract 2 from 3, which equals 1.

B. To solve the system of simultaneous equations, let's represent the given equations in matrix form:

[A | B] * [x; y; z] = [C]

where A is the coefficient matrix, B is the constant matrix, and C is the solution matrix.

Substituting the given values, we have:

A = 0 1 -2

   2 -3 1

B = -2 1

    2 3

C = -2 -1

    1 1

Now, let's solve for [x; y; z] using the matrix method. We need to find the inverse of matrix A:

A^-1 = 1/((0*(-3)) - (1*2)) * (-3 2)

                                (-2 0)

Calculating the inverse, we get:

A^-1 = 1/6 * (-3 2)

              (-2 0)

A^-1 = (-1/2 1/3)

           (-1/3 0)

Now, multiply A^-1 by matrix C to find the solution [x; y; z]:

[x; y; z] = A^-1 * C

[x; y; z] = (-1/2 1/3) * (-2 -1)

                                   (1 1)

[x; y; z] = (3/2)

             (-1/3)

Therefore, the solution to the system of simultaneous equations is x = 3/2, y = -1/3, and z is arbitrary.

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Answer: the height is 18 cm.

Step-by-step explanation:

The equation for the volume of a cone is the following: V = 1/3 × B × h, where B (base) = πr². Because we are given the radius of the base, but not the base’s area itself, we will use V = 1/3πr²h.

Here, we are trying to solve for h, the height, so first we can first rearrange the equation to solve for h:

1) V = 1/3πr²h

2) h = V ÷ 1/3πr² (divide both sides by 1/3πr²h)

Now, we just need to input the given values: V = 471, π = 3.14, r = 5

h = 471 ÷ 1/3(3.14)(5²)

= 471 ÷ 1/3(3.14)(25)

= 471 ÷ 1/3(78.5)

= 471 ÷ (78.5/3)

= 18 cm

Answer:

28/85

Explanation:

First Urn

Total number of balls = 7+10 =17

Number of white balls =7

P(White) = 7/17

SecondUrn

Total number of balls = 8+2=10

Number of white balls =8

P(White) = 8/10

Therefore, if a ball is drawn at random from each urn, the probability that both balls are white will be:

According to Census 2000, Utah had the highest proportion of married-couple households.

During the Census 2000, data was collected on the marital status of households in various states across the United States. The analysis revealed that Utah had the highest proportion of married-couple households among the given options of Utah, Mississippi, and Montana. This indicates that a larger percentage of households in Utah consisted of married couples compared to the other states during that time period. The Census data provides valuable insights into the demographic composition of different regions, helping to understand societal trends and patterns.

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Answer:

(3x - 5°) = 52°

Step-by-step explanation:

Formula we use,

→ A + B + C + D + E = 540°

Then the value of x will be,

→ A + B + C + D + E = 540°

→ (6x + 25°) + (5x + 10°) + (3x - 5°) + (5x + 10°) + (6x + 25°) = 540°

→ (6x + 5x + 3x + 5x + 6x) + (25° + 10° - 5° + 10° + 25°) = 540°

→ 25x + 65° = 540°

→ 25x = 540° - 65°

→ 25x = 475°

→ x = 475/25

→ [ x = 19° ]

The value of angle (3x - 5°) will be,

→ (3x - 5°)

→ (3 × 19) - 5°

→ 57° - 5°

→ [ 52° ]

Hence, value of angle (3x - 5°) is 52°.