Initiative is a procedure by which voters can

O

directly make laws

O

remove elected officials from office

O

propose an amendment to the U.S. Constitution

O

place candidates on a ballot

O

vote online

Previous

Answer:

1914

Step-by-step explanation:

interest for one year = 33

interest of 8 years = 264

1650+264 will be in the account in 8 years.

The equation to calculate the distance will be 12 × 2.

From the information given, she travels at 12 miles per hour and the total travel time is 2 hours.

It should be noted that:

Distance = Speed × Time

Therefore,

Distance = 12 × 2

The distance is 24 miles.

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Answer:

Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.

Step-by-step explanation:

Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

How to obtain the measures of spread?

First, we consider the dot plot, which shows the number of times that each observation appears in the data set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.

The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.

For groups of 15 students, we have that:

The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.

The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.

The quartiles for Bus 14 are given as follows:

Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Step-by-step explanation:

The perpendicular bisector of a chord passes through the center of a circle.

In geometry, a chord is a straight line segment that connects two points on the circumference of a circle. It is the longest possible segment within the circle.

The perpendicular bisector of a chord is a line that passes through the midpoint of the chord, creating two equal halves, and is perpendicular to the chord.

Notably, for any chord in a circle, its perpendicular bisector always intersects at the center of the circle, making it a significant geometric property.

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Answer: 3 times a number can be written as 3x.

Five less than 3x means you must subtract 5 from 3x.

the word "is" means equals,

so 3x-5=10

Step-by-step explanation:

since it is given that 3 times a number less than five is 1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3 x=2

Answer:

the best answer is option d

Step-by-step explanation:

4/5 x -10 = -40/5 = -8

t x t = t^2

-8t^2

Answer:

\( \sf \: d) \: - 8 {t}^{2} \)

Step-by-step explanation:

Given expression,

\( \sf \rightarrow \: \frac{4}{5}t \: ( - 10t )\)

Let's simplify the expression,

\( \sf \rightarrow \: \frac{4}{5} t \: ( - 10t) \: \)

\( \sf \rightarrow \: ( \frac{4}{5} \times - 10)( {t} \times t)\)

\( \sf \rightarrow \: ( \frac{ - 40}{ \: 5} )( {t}^{2} )\)

\( \sf \rightarrow \: - 8{t}^{2} \)

Hence, the option (d) is correct.

Answer:

Step-by-step explanation:

See ratios and step changes below

The solution of the inequality are n  ≤ -7 and n ≥ -12.

A compound inequality is an inequality that combines two simple inequalities.

Therefore, let's solve the compound inequality individually.

n + 2 ≤ −5 and  n + 6 ≥ −6

Hence,

n + 2 ≤ − 5

subtract 2 from both sides of the inequality

n + 2 - 2 ≤ − 5 - 2

n  ≤ -7

n + 6 ≥ −6

subtract 6 from both sides of the inequality

n + 6 ≥ −6

n + 6 - 6 ≥ −6 - 6

n ≥ -12

Therefore, n  ≤ -7 and n ≥ -12

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Answer:

11. 8(12)+3(2.50)=103.5

12. 43

13. 10 pounds

Answer:

-4

-4

6

6

Step-by-step explanation:

Answer:

Probability of dying on the birthday is:

Probability of not dying on the birthday is:

Probability of blue-eyed boy is:

Total frequencies = 10

Frequency of 7 and greater is 4: 7, 8, 9, 10

Required probability:

A. The sampling distribution of p is the probability of selecting a certain number of complaints from the sample of 200 complaints. This distribution can be represented as a binomial probability distribution with n = 200 and p = 0.8, where n is the sample size and p is the proportion of complaints settled in 2016. Therefore, the probability of any given outcome can be calculated using the formula p(x) = (n x) p^x (1-p)^(n-x), where x is the number of complaints settled.

B. The probability that the sample proportion will be within 0.04 of the population proportion is calculated by finding the probability of the sample proportion being greater than or equal to 0.76 and less than or equal to 0.84. This can be calculated by finding the cumulative probability of 0.76 to 0.84 using the binomial probability distribution formula. The cumulative probability of the sample proportion being within 0.04 of the population proportion is 0.8932.

C. The sampling distribution of p for a sample of 450 complaints can also be represented as a binomial probability distribution with n = 450 and p = 0.8, where n is the sample size and p is the proportion of complaints settled in 2016. Therefore, the probability of any given outcome can be calculated using the formula p(x) = (n x) p^x (1-p)^(n-x), where x is the number of complaints settled.

D. The probability that the sample proportion will be within 0.04 of the population proportion is calculated by finding the probability of the sample proportion being greater than or equal to 0.76 and less than or equal to 0.84. This can be calculated by finding the cumulative probability of 0.76 to 0.84 using the binomial probability distribution formula. The cumulative probability of the sample proportion being within 0.04 of the population proportion is 0.9675.

E. As measured by the increase in probability, the precision of taking a larger sample of 450 complaints rather than a sample of 200 complaints increases the probability by 0.0743 (0.9675 - 0.8932 = 0.0743).

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Answer:

Yes

Step-by-step explanation:

1 ton = 2000 pounds

6 tons = 12000 pounds

13000>12000

The truck is 1000 pounds overweight so yes it is too heavy to cross the bridge.

On solving the provided question, we can say that the inequality that will be formed is  \(1\leq x\leq 1.5 and 6\leq y\leq 8\) and Two possible combinations are (1.25.7). (1.35.7.5)

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

the inequality that will be formed is

\(1\leq x\leq 1.5\\6\leq y\leq 8\)

Two possible combinations are (1.25.7). (1.35.7.5)

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Answer:

The amount of withdrawals she made.

Step-by-step explanation:

The probability of all heads occurring at the end of the sequence is 1/2^100, or approximately 0.00000000079.

Probability is the branch of mathematics that deals with the likelihood or chance of an event occurring. It is a value between 0 and 1 (or 0% to 100%), where 0 represents an impossible event and 1 (or 100%) represents a certain event.

The probability of each outcome in the sequence is 1/2 (i.e. heads or tails). The total number of possible outcomes is 2^100. This means that the probability of all heads occurring at the end of the sequence is 1/2^100. This can be expressed as 1/2 * 1/2 * 1/2 * ... (100 times), which simplifies to 1/2^100, or approximately 0.00000000079.

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On solving the provided question we can say that on permutation choose which two of the six positions contain the two digits = 685464000

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order.

Assuming we regard upper and lower case letters as different, there are  52^4 ways = 7311616 ways

sequences of four letters and 100 sequences of two digits

there are 15 ways choose which two of the six positions contain the two digits = 685464000

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\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad N(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +2}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M} }{(5~~,~~1)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +2 }{2}=5\implies x+2=10\implies \boxed{x=8} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3 }{2}=1\implies y-3=2\implies \boxed{y=5}\)

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

x < 4

x ≥ - 2

Step 02:

system of linear inequalities:

x < 4:

x = 4 ===> vertical line

x ≥ - 2:

x = - 2 ===> vertical line

graph:

The answer is:

Unbounded

The dual linear program is as follows:

y1 + 4y2 - w1 = 1

2y1 + 3y2 + w2 = -2

-y1 + 4y2 + 2y3 >= 1

y1 - 2y3 <= 0

y2, y3 >= 0

The primal linear program is:

x1 + 2x2 - x3 + x4 >= 0

4x1 + 3x2 + 4x3 - 2x4 <= 3

-x1 - x2 + 2x3 + x4 = 1

x2, x3 >= 0

To find the dual, we introduce dual variables y1, y2, and y3 for the primal's three constraints, and w1 and w2 for the primal's two non-negativity constraints on x2 and x3, respectively.

The dual linear program is:

maximize 0y1 + 3y2 + y3

subject to:

y1 + 4y2 - w1 = 1

2y1 + 3y2 + w2 = -2

-y1 + 4y2 + 2y3 >= 1

y1 - 2y3 <= 0

y2, y3 >= 0

The objective function of the dual is the sum of the products of the primal's objective coefficients and the dual variables, which gives 0y1 + 3y2 + y3. The new objective is to maximize this expression subject to the dual constraints.

Note that the dual program is also written in standard form, with all inequality constraints replaced by equality constraints and non-negativity constraints.

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Answer:

√64/8 = √8 ≈ 2.8284

Step-by-step explanation:

According to the recursive definition for the length of a string, the length |001| is 3. The term "recursive" refers to a process that defines something in terms of itself, "length" refers to the number of characters in the string, and "string" is a sequence of characters. In this case, the string "001" has three characters (0, 0, and 1), so its length is 3.

According to the recursive definition for the length of a string, |001| is 3. The length of a string is defined as 0 if the string is empty, and 1 plus the length of the string without its first character if the string is not empty. In this case, the string "001" is not empty, so its length is 1 plus the length of the string "01" without its first character. Since the string "01" is also not empty, its length is 1 plus the length of the string "1" without its first character. Finally, the string "1" is a single character and has a length of 1, so the total length of "001" is 1 + 1 + 1 = 3.
Recursion is the process of calling itself. This process provides a way to break complex problems into simpler processes that are easier to solve. Recursion can be a bit confusing. The best way to determine how it works is to experiment with it.

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True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.

Steps to calculate the Average:

Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.

To find the average we first have to take the total of all values.

2+8+22+48=80.

Our next step will be to divide this total by the number we have in our question i.e., 4.

so, our average will be 80/4= 20.

So, 20 will be our average.

So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.

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Answer:

$748.72

Step-by-step explanation:

Multiply 1337 times 4%

4% = 0.04

1337 x 0.04 = 53.48

Multiply the product by the amount of years -

53.48 x 14 = 748.72

She will pay back $748.72 intrest for the money borrowed.

The interest rate is 4%. So, it can be written as 0.04

$1337 × 0.04 × 14 = 748.72

So, she'll pay $748.72 interest for the borrowed money...

Answer:

is it an abc or what??

Step-by-step explanation:

Answer:

x₁(2x₁x₂² - x₂ - 3) - 3x₂

Step-by-step explanation:

The expression you provided is a polynomial in two variables, x₁ and x₂. Let's simplify it step by step:

2x₁²x₂² - x₁x₂ - 3x₁ - 3x₂

To simplify, we can look for common terms that can be factored out:

x₁(2x₁x₂² - x₂ - 3) - 3x₂

Now let's simplify the expression inside the parentheses:

2x₁x₂² - x₂ - 3

Answer:

Step-by-step explanation:

Reading the box and whisker plot for Brand X, we identify that:

25% of batteries lasted for 10 - 14 hours and the rest lasted longer than 14 hours.

It means the number of batteries lasted more than 14 hours is:

The triangle is an isosceles right-angle triangle. Then the hypotenuse of the triangle will be 3 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The measure of one angle of right-angle is 45°. Then the right triangle is an isosceles right-angle triangle.

Then the hypotenuse is given by the sine of angle 45°. Then the equation is given as,

sin 45° = 3√2 / H

1/√2 = 3√2 / H

H = 3√2 x (1 / √2)

H = 3 units

The triangle is an isosceles right-angle triangle. Then the hypotenuse of the triangle will be 3 units.

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Answer:

Part A: Options D and E

Part B: Disagree

Step-by-step explanation:

Part A:

From the graph attached,

Option A

The object is launched from the ground.

False.

Since, the object is launched from the 5 feet above the ground.

Option B

The flight is symmetric about the line t = 10

False.

Since, the flight is symmetric about the line t = 12

Option C

The object reaches a maximum height of 12 feet.

False.

At t = 12 seconds maximum height of the object = 19.4 feet

Option D

The object is flying in the air during the interval 0 < t < 25.93

True.

Option E

The object reaches its maximum height after 12 seconds of flight.

True.

After 12 seconds object is at the maximum height 19.4 feet.

Therefore, Options D and E are the correct options.

Part B:

From the table attached,

h(4) = 13

h(20) = 13

At t = 4 and 13 seconds height of the object is same.

h(4) = h(20)

But Timothy said h(4) < h(20)

Therefore, disagree with the statement of Timothy.

Answer:

They have the same x value.

Step-by-step explanation: