The Booster Club has a goal of raising at least $700. The Club has already raised $125. The Booster Club is sponsoring a pancake breakfast and charging $8.00 per ticket. What inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal?

Answer:

\(x=\sqrt{153}\)

Step-by-step explanation:

\((\overline{BC})^2 = (\overline{AB})^2 + (\overline{AC})^2\\\\(13)^2=(x)^2+(4)^2\\\\169 = x^2+16\\\\169-16=x^2\\\\153=x^2\\\\\sqrt{x^2} = \sqrt{153}\\\\x=\sqrt{153}\)

The coefficient of determination is not the square root of the correlation coefficient.

The coefficient of determination refers to the proportion of the variance in the dependent variable that is accounted for by the independent variable.

It is the square of the correlation coefficient and ranges between 0 and 1, with 0 indicating no correlation, while 1

indicates a perfect correlation.

The coefficient of determination is a measure of how much variation exists between two variables, with a higher value

indicating a stronger relationship between the two variables.

Additionally, the group of answer choices can indicate whether the correlation coefficient is significant, and the

coefficient of determination is not the square root of the correlation coefficient.

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Therefore, the answer is E. A and B are true assumptions.

The correct answer is E. A and B are true assumptions.What is the constant growth dividend valuation model?The constant growth dividend valuation model is used to calculate the intrinsic value of a stock based on the assumption that dividends will increase at a constant rate indefinitely. The model values a stock's current price based on the amount of future dividends it is expected to pay. The constant growth dividend valuation model is sometimes referred to as the Gordon Growth Model.What assumptions does the constant growth dividend valuation model make?The constant growth dividend valuation model assumes that:A. a constant annual dividendB. a constant dividend growth rate for no more than the first 10 yearsTherefore, the answer is E. A and B are true assumptions.

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The probability of having 63 or more successes in the sample is approximately 0.0266, or 2.66%.

To use the normal approximation to find the probability P(X ≥ 63) for a sample size of n = 90 and population proportion of successes p = 0.6, follow these steps:

Step 1: Calculate the mean (μ) and standard deviation (σ) for the binomial distribution.
\(μ = n * p\) = 90 * 0.6 = 54
\(σ = \sqrt{(n * p * (1 - p))} = \sqrt{(90 * 0.6 * 0.4) }\)= √21.6 ≈ 4.65

Step 2: Use the normal approximation.
To find P(X ≥ 63), first convert X to a z-score:
z = \((X - μ) / σ\) = (63 - 54) / 4.65 ≈ 1.93

Step 3: Find the probability using a z-table or calculator.
Using a z-table or calculator, find the probability of a z-score less than 1.93 (since we want P(X ≥ 63), we need to find the area to the right of the z-score):
P(Z ≤ 1.93) ≈ 0.9734

Step 4: Calculate the complement probability.
Since we want P(X ≥ 63), we need to find the complement probability (1 - P(Z ≤ 1.93)):
P(X ≥ 63) = 1 - 0.9734 = 0.0266

So, the probability of having 63 or more successes in the sample is approximately 0.0266, or 2.66%.

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The quantity of purple marbles that Leslie has would be = 32 purple marbles.

The number of bags of marbles that Leslie has = 6 bags.

The quantity of marbles that is found in each bag = 16 marbles.

Therefore the total number of marbles = 6× 16 =96 marbles.

The fraction of purple marbles that Leslie has = 1/3 of 96

Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32

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Complete question:

Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?

Time in Line to Buy Groceries is Quantitative-Discrete type of data. So the option C is correct.

We can observe data in a straightforward integer format or monitor quantitative discrete data in a real line at regular intervals.

We need to utilize an integer time point, which cannot be a decimal, to keep track of time while standing in line for groceries. It cannot be delivered in 2.45 days because a grocery store is unable to provide a delivery schedule in fractions.

The correct solution is therefore quantitative discrete.

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The complete question is:

Identify the type of data that would be used to describe a response.

Time in Line to Buy Groceries

A. Qualitative (Categorical)

B. Quantitative - Continuous

C. Quantitative - Discrete

Using the hypergeometric distribution, it is found that there is a 0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.

The people are chosen without replacement from the sample, hence the hypergeometric distribution is used to solve this question.

The formula is:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that both get picked is P(X = 2), hence:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 2) = h(2,18,2,2) = \frac{C_{2,2}C_{16,0}}{C_{18,2}} = 0.0065\)

0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.

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Answer:

5300.

If you're rounding to the nearest hundred you look at the tens place. If its 5 or over you go up. So in this case we'll raise the 2 to a 5 because 6 is above 5.

Answer:

you are trying to get up to 180 ( a straight line is 180 degrees).

So 26+32 =58 and go through your answer choices to see which one adds up to 180

and it that case your answer would be A 122+58=180

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

2 plus 24 is 26

Answer:

5

Step-by-step explanation:

Answer:

gcf is 5x

Step-by-step explanation:

of the coefficients - 25, 15 and 30 - the greatest common factor is 5

each of the three terms - 25a²bx, 15b²cx³, and 30ab³cx² - has only one shared variable, which is 'x'

therefore, the gcf is 5x

Step-by-step explanation:

if you replace n = 1

(2)(7)^(1-1)

= (2)(7⁰)

= 2×1

= 2

if n = 2

(2)(7)^(2-1)

= (2)(7)^(1)

= 2×7

= 14

choice 1

Answer:

\(\dfrac{c}{2}\)

Step-by-step explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)

Applying this logic to the given expression:

\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)

↓ simplify multiplication of fractions

\(\dfrac{a \cdot bc}{2b \cdot a}\)

↓ rewrite to align like variables

\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)

↓ separate out variables that are divided by each other

\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)

↓ represent them as 1

\(1 \cdot 1 \cdot \dfrac{c}{2}\)

↓ rewrite without unnecessary 1's

\(\dfrac{c}{2}\)

The retailer's average daily sales rate is approximately 142.5 bottles per day.

To arrive at this answer, we can use the inventory turnover formula:

Inventory turnover = Cost of goods sold / Average inventory

Since we don't have the cost of goods sold, we can use the number of units sold instead:

Inventory turnover = Units sold / Average inventory

We know that the inventory turnover is 48 times per year, so we can set up the equation:

48 = Units sold / 414

Solving for units sold, we get:

Units sold = 48 * 414 = 19,872

To find the average daily sales rate, we divide the total units sold by the number of days in a year:

Average daily sales rate = 19,872 / 365 = 54.4

Therefore, the retailer's average daily sales rate is approximately 142.5 bottles per day (rounded to 1 decimal place). This means that the retailer sells, on average, 142.5 bottles of soda every day throughout the year. This information can be useful for the retailer in managing its inventory levels and ensuring that it has enough stock on hand to meet customer demand. It can also be used to calculate revenue and profit margins based on the cost of goods sold.

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Graphs, tables and equations that  can be used to find the ratio and the ratio is not constant when the relationship is non-proportional  explanation is given below

let us consider the , The graph of a linear equation is a line.

then , If b = 0 in a linear equation (so y = mx), then the equation is said to be proportional linear relationship between y and x.

If b ≠ 0, then y = mx + b is said to be  non-proportional linear relationship between y and x.

If we are able to draw a straight line through all three points and the line that passes through the origin, (0, 0), in an  ordered pairs which  represents a proportional relationship. in which the Solution to the points on the graph that  represent a proportional relationship. Such that the ordered pairs in the table represent a proportional relationship .Non-Proportional: How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin. As that of  adjectives the difference between proportional and  which is equal to  that proportional is at a constant ratio (to) two magnitudes (numbers) are said to be proportional if the second graph  varies in a direct relation arithmetically , the first while equal which is (label) the same as  in all respects.

The Difference in the  Proportional and linear functions are almost identical in their representation  form. The only difference is the addition of the “​b​” as constant to the linear function. Indeed, which is  a proportional relationship to a linear relationship where ​b​ = 0, or also said in an another way, in which the  line passes through the origin (0, 0).

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The value of the given expression will be 3√5.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression c² = 45 will be solved as below:-

c² = 45

Take the square root of the number 45.

c = √45

c = √ 9 x √5

c = 3√5

Therefore, the value of the given expression will be 3√5.

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Answer:

625

Step-by-step explanation:

250/6 =41.6666666667

41.6666666667x15 = 625

Answer:

Step-by-step explanation:

The system of equations x + y = 1 and x – y = 2 has the unique solution x = 1 and y = –1.

There are infinite pairs of system of equations which have the unique solution x = 1 and y = –1.

Hope this information will clear your doubts about the topic.

Answer:

Lo puedes poner en español?

The probability that the sum is a multiple of three is 0.2778

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will definitely occur.

If a pair of six-sided dice is rolled, and the sum is recorded, then the possible sum is the numbers from (1 + 1) = 2 to (6 + 6) = 12.

From 1 to 12, the multiples of 3 are 3, 6, 9, and 12. These can be resulted from having the following dice rolled.

3 : 1 & 2, 2 & 1

6 : 1 & 5, 2 & 4, 3 & 3, 4 & 2, 5 & 1

9 : 3 & 6, 6 & 3

12 : 6 & 6

Since there are 10 possible outcomes wherein the sum is a multiple of 3, and there are (6 x 6) total outcomes, then the probability is

p = 10 / 36 = 0.2778

Hence, the probability that this sum is a multiple of three is 0.2778.

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Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Answer:

18

Step-by-step explanation:

As stated, after solving all equations, you sum up the answers you got within the rows and columns, looking at the picture below, you can see that when you add every answer in the one column or row, you will always get 18. Making 18 our magic number

Log(1), log(-1), log(i) and ii are all numbers written in the form a + bi. Log(1) = 0; log(-1) = undefined; log(i) = 0.5i; ii = -1; a = -1 and b = 0 because the number is in the form a + bi.

Given numbers are;• log(1)• log(-1)• log(i)• iiFor all numbers written in the form a + bi, we must find a and b. Here's how to do it: log(1)In this case, the log is taken in base 10. The result of this is 0. So, we have: log(1) = 0Therefore, a=0 and b=0 because the number is not in the form a + bi. log(-1)In this case, the log is taken in base 10. The result of this is undefined. This is because there is no power to which we can raise 10 to get -1. So, we have: log(-1) = undefinedTherefore, a=undefined and b=undefined because the number is not in the form a + bi. log(i)In this case, the log is taken in base 10. The result of this is 0.5iπ. So, we have: log(i) = 0.5iπTherefore, a=0 and b=0.5π because the number is in the form a + bi. iiIn this case, we are finding the square of i. i is a complex number given as i = 0 + 1i. Therefore, we have: i2 = (0 + 1i)2= (0)2 + 2(0)(1i) + (1i)2= -1This is because i2 = -1. Now, we can write ii as: ii = i × i= (0 + 1i) × (0 + 1i)= 0 + 0i + 0i + 1i2= -1So, we have: ii = -1Therefore, a=-1 and b=0 because the number is in the form a + bi.

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Answer:

18) a^5b^-3c

19) -3xy^1z^-2

20) -5r^4s^-2t^-3

Answer:

Step-by-step explanation:

Hndnenenennjejejejekwkkwnwbfnfn

Answer:

????????????????????????????????

Step-by-step explanation:

Answer:

The image of the dilated polygon is attached below

Transformation is the movement of a point from the initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

Dilation is the increase or reduce in size of a figure by a factor k. If a point A(x, y) is dilated by a factor k about the origin, the new point is A'(kx, ky).

Let us assume that the polygon has vertices at A(0,0), B(3, 3) and C(-3, 3). If the polygon is dilated by a scale factor of 1/3 and center of dilation at ​(0, 0)​, the new vertices is at:

A'(0,0), B'(1, 1) and C'(-1, 1)

The graph of the polygon is attached.

Answer: 3.33 miles per hour

Step-by-step explanation:

This is a fraction equal to

2.5 miles ÷ 0.75 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 0.75

\(\frac{2.5 miles}{0.75 hours}\) ÷ 0.75

          ÷ 0.75

= 3.33 miles per hour

~I hope I helped you! :)~

In conclusion, the expected running time for generating random numbers p and g can be expressed as a function of m and t as follows:

\(O((1/(m ln(2))) * (m^3t)) = O(m^2t/ln(2))\)

The expected time for generating the prime number p depends on the probability of q being prime and the number of iterations required to find a Sophie Germain prime. Since q is an m-bit integer, the probability of q being prime is approximately \(1/ln(2^m) = 1/(m ln(2)).\)

The cost of performing Miller-Rabin primality testing on a composite number N is O(\(m^3t\)) time, as stated in the problem. Therefore, the expected time to find a prime q is proportional to the number of iterations required, which is 1/(m ln(2)).

Finding a primitive element g within the range 1 ≤ g ≤ p-1 involves randomly selecting integers and checking if they satisfy the condition. Since this step is independent of the primality testing, its time complexity is not affected by the value of t. Therefore, the expected time to find a primitive element g is not directly influenced by t.

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