Consider a random variable X that denotes a random delivery time anywhere between 9 am and 10 am . X would reasonably be

The statements that complete the proof of similar triangles are (1) AA criterion for similarity and (1) segment addition

From the question, we have the following parameters that can be used in our computation:

The incomplete proof

In proof (2), we have

Corresponding angles are congruent

This represents the AA similarity

So, the first blank can be completed with (1) AA criterion for similarity

In proof (5), we have

AB = AD + DB and CB = CE + EB

This represents addition of segments

So, the second blank can be completed with (1) segment addition

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The ordered pair satisfying the given condition is (0,0)

Given that,

U = { (x,y) : x,y belong to real numbers }

A = { (x,y) : (x,y) is a solution of y=x }

B = { (x,y) : (x,y) is a solution of y=2x }

We need to find the ordered pair (x,y) that belong to AB.

Let, (x,y) belong to A∩B

i.e. (x,y) belong to A and (x,y) belong to B

i.e. y = x and y = 2x

i.e. x = 2x

i.e. x = 0

Now, substitute x= 0 in any of the equation say y = x, we get y = 0.

Hence, the ordered pair satisfying A∩B is (0,0).

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Answer:0,0

Step-by-step explanation:

right on quiz

The salary at the end of 7 years will be $32,490.

To calculate the salary at the end of 7 years, we need to use the formula for compound interest:

A = P(1 + r)^t

where A is the ending amount, P is the principal (starting salary), r is the annual interest rate (in decimal form), and t is the number of years.

In this case, we have:

P = $30,000 (starting salary)

r = 1.1% = 0.011 (annual interest rate)

t = 7 (number of years)

Plugging these values into the formula, we get:

A = $30,000(1 + 0.011)^7

A = $30,000(1.011)^7

A = $30,000(1.083)

A = $32,490

Therefore, the salary at the end of 7 years will be $32,490.

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According to the Empirical Rule or the 68-95-99.7 Rule, the center 95% of all women will have heights between 60 inches and 72 inches.

Given that;

Assume the distribution of the height of adult females can be modeled with a normal distribution with mean 66 inches and standard deviation 3 inches.

Hence, We get;

According to the Empirical Rule or the 68-95-99.7 Rule, the center 95% of all women will have heights between 60 inches and 72 inches.

Thus, The correct answer is,

⇒ 60 inches

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Theorem 4.4.2 states that the only divisors of the integer 1 are 1 and -1. In other words, no other integer except 1 and -1 can divide 1.

To prove this theorem, we can use the definition of divisibility, which states that if a and b are integers, then a divides b if and only if there exists an integer k such that b = ak. Since 1 is the smallest positive integer, it has only two divisors, namely 1 and -1.

If a is a positive integer that divides 1, then a must be equal to 1, since it is the only positive integer that is smaller than or equal to 1. If a is a negative integer that divides 1, then a must be equal to -1, since it is the only negative integer that is greater than or equal to -1.

Thus, we have shown that the only divisors of 1 are 1 and -1, which proves Theorem 4.4.2. This theorem is a simple but important result in number theory, as it establishes a fundamental property of the number 1 and its divisors.

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The length of the major axis of the ellipse x² + 16y² - 96y + 128 = 0 will be 8 units.

Given that:

Equation, x² + 16y² - 96y + 128 = 0

It is taken from the cone by cutting it at an angle.

Convert the equation into standard form, then we have

x² + 16y² - 96y + 128 + 16 = 16

x² + 16(y² - 6y + 9) = 16

x²/16 + (y - 3)²/1 = 1

The length of the major axis of the ellipse x² + 16y² - 96y + 128 = 0 will be given as,

⇒ 16 / 2

⇒ 8

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[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=33\\ \theta =1.5 \end{cases}\implies s=(33)(1.5)\implies s=49.5[/tex]

Non-parametric methods assume the sample used is the population and do not make assumptions about the underlying distribution of the population. Results obtained from non-parametric methods are specific to the sample used and cannot be generalized to the larger population.

The methods that assume the sample used is the population, and so results cannot be extrapolated beyond that particular sample, are known as non-parametric methods. Non-parametric methods do not make any assumptions about the underlying distribution of the population, and instead rely solely on the observed data. As a result, the results obtained from non-parametric methods are specific to the sample used and cannot be generalized to the larger population.

Examples  of non-parametric methods include the Wilcoxon rank-sum test, the Kruskal-Wallis test, and the Spearman's rank correlation coefficient test.

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Group A shows greater variability in mass than Group B.

Group A:

Masses: 4, 6, 8, 12, 14

Minimum: 4

Q1: (4+6)/2 = 5

Median (Q2): 8

Q3: (12+14)/2 = 13

Maximum: 14

Group B:

Masses: 6, 8, 10, 12, 14

Minimum: 6

Q1: (6+8)/2 = 7

Median (Q2): 10

Q3: (12+14)/2 = 13

Maximum: 14

Now let's construct the box plots for each group:

Group A encompasses the numeric figures 4, 5, 8, 13, and 14.

Group B encompasses the digits 6, 7, 10, 13, and 14.

We compare the groups:

Range (Group A): 14 - 4 = 10

Range (Group B): 14 - 6 = 8

IQR (Group A): Q3 - Q1 = 13 - 5 = 8

IQR (Group B): Q3 - Q1 = 13 - 7 = 6

With its range of 10 and IQR of 8, Group A exhibits a greater degree of variance in weight compared to Group B, which has a range of 8 and IQR of 6.

Thus, the variability in mass is higher for Group A.

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A scientist reports the information shown about the masses (in grams) of two groups of salamanders. Group A consists of salamanders with masses 4, 6, 8, 12, and 14 grams, and Group B consists of salamanders with masses 6, 8, 10, 12, and 14 grams. Construct a box plot for each data set. Which group of salamanders shows greater variability in mass, and explain how you know.

The surface area of the remaining solid left out after the cone is cut-out is approximately 127.23 square centimeters.

The maximum size of the cone that can be cut out from the cube is such that the base of the cone is a circle inscribed in the face of the cube.

The diameter of the circle is equal to the edge of the cube.

The diameter of the base of the cone is 14 cm, and its radius is 7 cm.

The height of the cone can be found using the Pythagorean.

The diagonal of the face of the cube is:

[tex]d = \sqrt{(14^2 + 14^2)} = 14 \times \sqrt(2)[/tex]

The height of the cone is equal to the side of the cube minus the radius of the base of the cone:

h = 14 - 7 = 7

The volume of the cone is:

V_cone = (1/3) × pi × r² × h

V_cone = (1/3) × pi × 7² × 7

V_cone = (1/3) × 343 × π

V_cone = 343/3  π

The surface area of the remaining solid left out after the cone is cut-out is the surface area of the cube minus the surface area of the cone.

The surface area of the cube is:

S_cube = 6 × (14)²

S_cube = 1176

The surface area of the cone can be found using the Pythagorean theorem again, this time to find the slant height of the cone:

s = sqrt(r² + h²)

s = sqrt(7² + 7²)

s = 7 × √(2)

The lateral surface area of the cone is:

A_lateral = pi × r × s

A_lateral = pi × 7 × 7 × √(2)

A_lateral = 49 × pi × √(2)

The surface area of the remaining solid left out after the cone is cut-out is:

S_remaining = S_cube - A_lateral

S_remaining = 1176 - 49 × pi × √(2)

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The perimeter of the Christian's sandbox is 24 feet.

The given two quadrialterals are similar

Let us find the remaining lengths of Christian's sandbox

By proportional equation

36/8=18/x=27/y=18/z

4.5=18/x=27/y=18/z

x=18/4.5 = 4

y=27/4.5 = 6

z=4

The perimeter is sum of all the sides

So perimeter of Christian's sandbox is 8+6+4+4

24 feet

Hence, the perimeter of the Christian's sandbox is 24 feet.

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Tiffany should have expected the spinner to land in the orange section 10 more times.

To find out how many more times Tiffany should have expected the spinner to land in the orange section, we need to determine the expected number of times the spinner would land in the orange section based on the given information.

Tiffany spun the spinner 96 times, and it landed in the orange section 10 times. To find the expected number of times the spinner would land in the orange section, we can calculate the proportion of spins that landed in the orange section.

Proportion of spins in the orange section = (Number of orange spins) / (Total number of spins)

Proportion of spins in the orange section = 10 / 96

Now, to find the expected number of orange spins, we multiply the proportion by the total number of spins:

Expected number of orange spins = Proportion of spins in the orange section * Total number of spins

Expected number of orange spins = (10 / 96) * 96

Expected number of orange spins = 10

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Answer:

[tex]C = 43.96 \text{ miles}[/tex]

Step-by-step explanation:

The circumference (perimeter) of a circle is defined as:

[tex]C = \pi \cdot d[/tex],

where [tex]d[/tex] is the circle's diameter.

We can plug in 14 for the diameter and 3.14 for π, then solve for C.

[tex]C = 3.14 \cdot 14[/tex]

[tex]C = 43.96 \text{ miles}[/tex]

Note that we can also write the circumference formula as:

[tex]C = 2\pi r[/tex]

because [tex]d = 2\cdot r[/tex].

Answer:

17x(487y)^2

Step-by-step explanation:

I wrote it into an expression so try to solve it if you could

The given terms represent various logical statements and operations. ¬A ∧ B → C implies that if "not A" and "B" are both true, then "C" is true. C ∨ B means either "C" or "B" or both must be true.

1. ¬A ∧ B → C: This term represents a logical statement where if "not A" (¬A) and "B" are both true, then it implies (→) that "C" is also true.
2. C ∨ B: This term represents a logical disjunction, meaning that either "C" or "B" or both must be true.
3. ¬(C ∧ D): This term represents the negation (¬) of the conjunction of "C" and "D". In other words, it is not true that both "C" and "D" are true.
4. D: This term simply represents a logical variable, which can be either true or false.
The given terms represent various logical statements and operations. ¬A ∧ B → C implies that if "not A" and "B" are both true, then "C" is true. C ∨ B means either "C" or "B" or both must be true. ¬(C ∧ D) denotes that it's not true that both "C" and "D" are true, and "D" is a logical variable that can be either true or false.

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The points that form a linear function must be collinear with respect to each other.

The set of points are not given. A linear function is of the form -

y = mx + c

In this equation, we can write -

{m} : slope of the line

{c} : the y - intercept

Now, the points that form a linear function must be collinear with respect to each other. This means that the slope of the line joining the two consecutive points should be equal.

Therefore, the points that form a linear function must be collinear with respect to each other.

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Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

Answer:

I believe it's asking, what is m + n, and it has given those values: 10 and 16.  So, following this thinking, the answer is 16 + 10 = 26, so the correct answer would be: (d) 26

An ounce of the chemical cost in 2018 is $98.54.

Given:

The function c(x) = 72 ⋅ (1.04)ˣ models the cost in dollars, c, of 1 ounce of a certain chemical used in a laboratory.

x represents the number of years since 2010.

An ounce of the chemical cost in 2018 is,

= 72 × (1.04)⁸

= $98.54

Therefore, the cost is $98.54.

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The complete question is =

The function c(x) = 72 ⋅ (1.04)x models the cost in dollars, c, of 1 ounce of a certain chemical used in a laboratory. x represents the number of years since 2010.

How much does an ounce of the chemical cost in 2018?

An interval that is likely to contain the exact percent of all U.S adults who would support this policy if the margin of error is 2.2% is 67.8% and 72.2%.

Given that,

In a survey of 2000 U.S. adults, 70% said that they would support a national policy requiring rooftop solar panels to be installed on all new homes.

Margin of error = ±2.2%

Using this,

Interval of the exact percent = (70 - 2.2, 70 + 2.2)

                                               = 67.8% and 72.2%

Hence the interval is 67.8% and 72.2%.

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The complete question is given below.

We would expect the size of the population to increase by 12 individuals.

Here are the terms we'll be using:
- Initial population size: 100 individuals
- Per capita birth rate: 0.25
- Per capita death rate: 0.13
To find the expected increase in population size, follow these steps:
Calculate the net per capita growth rate by subtracting the per capita death rate from the per capita birth rate:
Net per capita growth rate = Per capita birth rate - Per capita death rate
Net per capita growth rate = 0.25 - 0.13
Net per capita growth rate = 0.12.

Multiply the net per capita growth rate by the initial population size to find the expected increase in the number of individuals:
Expected increase = Net per capita growth rate × Initial population size
Expected increase = 0.12 × 100
Expected increase = 12 individuals.

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The sets 2, 3, 4, and 7 show proportional relationships as the variables increase at the same rate; however, the sets 5, 6, and 8 are not proportional.

Data is said to be proportional if it increases or decreases at the same rate. This means there is a pattern or sequence in the data. Let's examine some examples:

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Answer:

  see attached

Step-by-step explanation:

You want the graph of (x, y) = (2 -t, (t+3)²) on the interval t ∈ [-4, 0].

You can use the parametric equations to find several points on the graph, or you can write y in terms of x:

  x = 2 -t

  t = 2 -x . . . . . . . . . add t-x to both sides

Substituting into the expression for y, we have ...

  y = (t +3)²

  y = (2 -x +3)²

  y = (5 -x)² = (x -5)²

The graph of this is the parent parabola function y=x² shifted right by 5 units.

The domain of t is [-4, 0], so the domain of x is 2 -[-4, 0] = [6, 2]. The above-described parabola will be found between x=2 and x=6, on the interval [2, 6].

The range is from the minimum at (5, 0) to the maximum at (2, 9). The range is described by the interval [0, 9].

__

Additional comment

You know that x² ≡ (-x)², so we can write y = (5 -x)² in the form y = (x -5)² without changing any of the ordered pairs it describes. Having a positive x-coefficient tends to reduce anxiety (and errors), so the latter form is usually preferred.

Step-by-step explanation:

For now ignore the inequalities, you can replace them by =

So,

You have y=1 first right?

This one is pretty simple it's where y is 1. x can change but y needs to stay 1. Find 1 on the line y and draw your line there. (orange line)

Next, y = 2x+2

You can do a littleeee table to find the coordinates of this line.

You give x any random value and replace it in the equation y and get y.

[tex]x \: \:0 \: \: 1 \\ y \: \:2 \: \:4 [/tex]

For example here, we used 0 and 2 as x.

Y = 0(2)+2 = 0+2 = 2

Y = 2(1)+2 = 2+2 = 4

So we got two coordinates. (0,2) and (1,4)

Plot your points, and then use your ruler to draw the line.

(red line)

Next, x+y=3

This one you have to go to the x and y axis both and take 3 as your points and draw your line. (you go the the x axis and take 3 there, go to the y axis and take 3 there too)

(blue line)

Now, the inequalities. If you have > then it means the line is broken

If there is a line below the > (>=) then it's a solid line. I hope you understand why I broke the red and yellow lines now. But you can ignore this if it confuses you.

Just know if you have a:

• Horizontal or diagonal line, > is for above the line and < is for below the line

• Vertical, > is for right, < is for left.

It indicates the direction where the area should be

That's how you find R

The surface area of the rectangular prism is 166 in².

To arrive at the surface area, we will use the following formula which gets the area for the right, left, and bottom parts.

Surface Area = 2(wl+hl+hw)

Surface Area = 2 (6*2 + 9*2 + 9*6)

SA = 2(12 + 18 + 54)

SA =2(84)

SA = 166 in²

So, the surface area is 166 in².

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The solution of the system of equations f(x) = 2^x + 1 and g(x) = 3^x is x = 1

From the question, we have the following parameters that can be used in our computation:

f(x) = 2^x + 1

g(x) = 3^x

The above expression is a system of exponential equations

We are required to solve by graph

That implies that we graph the equations in the system on the same plane and write out ordered pairs from the point of intersection of the equations in the system

Next, we plot the graph

See attachment for the graph of the equations

The ordered pairs of the intersection point is (1, 3)

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In statistics, a straight-line model of the relationship between two variables, X and Y, is called a linear regression model.

This model is used to understand the relationship between two variables and to predict the value of one variable based on the value of the other variable. Linear regression models can be used to model a wide range of relationships between variables, including positive, negative, and no relationship at all.

The linear regression model assumes that there is a linear relationship between the two variables, meaning that a change in one variable is associated with a proportional change in the other variable. The model also assumes that there is some level of randomness or error in the relationship between the two variables.

Overall, linear regression models are a powerful tool for understanding the relationship between two variables and making predictions based on that relationship. However, it is important to use caution when interpreting the results of these models.

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T-tests are used to test for differences between group means.

So, the correct answer is A.

T-tests can be used to compare two groups, or multiple groups, and can be either independent or dependent samples.

T-tests are often used in research studies to analyze data and draw conclusions about the differences between groups.

It is important to note that T-tests assume normal distribution of data and homogeneity of variance between the groups being compared.

In other words, the variances of the groups should be similar enough to accurately compare their means. If the variances are not equal, then other statistical tests such as Welch's T-test should be used instead

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