y ticket. each ticket has a probability of 0.3 of winning a prize. after seven days, what is the probability that jorge has won at least one prize? round your answer to four decimal places.

The sum of the 1st and three-term of the GP is 87.75.

What is geometric progression?

A geometric progression often referred to as a geometric sequence, is a series of non-zero values where each term following the first is obtained by multiplying the preceding value by a constant, non-zero number known as the common ratio.

Here, we have

Given:  3rd term is 27 and whose 6th term is 8​

Let the GP terms are a, ar, ar², ar³, ar⁴ and ar⁵,

Given ar² = 27 and ar⁵ = 8

Take the ratio of the sixth term to the third term:

ar⁵ / ar² = 8/27 => r³ = (2/3)³

r = 2/3

We know that

ar² = a(2/3)² = 27

=> a(4/9) = 27

=> a = 27*9/4 = 243/4

So, the terms are 243/4, 243/4*(2/3), 243/4*(4/9), 243/4*(8/27), 243/4*(16/81), 243/4*(32/243)

= 243/4 + 27

= 60.75 + 27

= 87.75

Hence, the sum of the 1st and three-term of the GP is 87.75.

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Answer: A

Step-by-step explanation:

Convert the equation into quadratic form (y=ax^2+bx+c)

y=-3(x-4)(x+6)   =  y=-3x^2-6x+72

Calculate -b/2a

which is 6/-6=-1

then put the value -1 into the equation for x.  

-3+6+72=75

The answer is therefore A.

Answer: figure 1 is 9

figure 2 is 81

figure 3 is 72

= 162

Step-by-step explanation:

Answer:

23.50y+1

Step-by-step explanation:

2(4.25y-7.5+7.5y+8)

2(4.25y+7.5y-7.5+8)

2(11.75y+0.5)

2(11.75y) + 2(0.5)

23.50y + 1

The process of converting individual raw scores in a distribution to a set of scores for which we know the percentiles is known as "normalizing the data" or "standardizing the data."

The steps for standardizing the data are as follows:

Order the raw scores in the distribution from smallest to largest.

Assign each score a percentile rank. This is the percentage of scores in the distribution that are equal to or lower than the score. For example, if a score has a percentile rank of 75, it means that 75% of the scores in the distribution are equal to or lower than that score.

Convert the raw scores to standardized scores (also known as z-scores). This is done by subtracting the mean of the distribution from each score and then dividing by the standard deviation of the distribution. The resulting standardized score represents the number of standard deviations above or below the mean that the raw score falls.

The process of standardizing the data helps to put the raw scores into a common context, which makes it easier to compare scores from different distributions and to draw meaningful conclusions about the data. Additionally, standardized scores can be used to determine the probability of a score falling within a particular range.

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Since the length of the string is not specified, we cannot find the Y value (fret position) exactly.

Given in this word problem:

Length of the string: Not specified

Number of notes higher than the root note: 3 (G note is 3 notes higher than the E string's root note)

Scale: Not specified

The equation for the fret position can be represented as follows:

fret position = length of string * 2^(-12 * n)

where n is the number of notes higher than the root note.

To find the X value, we need to know the length of the string, which is not specified in the problem.

To find the Y value, we need to calculate the fret position using the equation:

fret position = length of string * 2^(-12 * n)

fret position = length of string * 2^(-12 * 3)

fret position = length of string * 2^-36

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Answer: 4

Step-by-step explanation:

2 multiplied by 2 is 4. You have 2 of the 2's so it becomes 4.

Answer:4

Step-by-step explanation:

have a good day :)

Answer:

multiply the big number

Step-by-step explanation:

multiply it theres ur answer sub to Lil-Jrplayz for more help

Option D and E are equivalent to the given expression.

First we find the x and y values of the equation -2y+3/2x+7/4.

For example x= 0, substitute:

-2y+3/2x+7/4=0

-2y=-7/4

y=7/8

For example y=0, substitute:

-2y+3/2x+7/4=0

3/2x=-7/4

x=-7/6

Then we look for choices A, B, C, D and E, which one produces x=-7/6 and y=7/8 if for example x=0 and y=0.

And those that have the same value are equations D and E.

Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class, but also in everyday life.

The simplest example of an equivalent equation doesn't have any variables.

For example, these three equations are equivalent to each other:

3 + 2 = 5

4 + 1 = 5 5 + 0 = 5

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The distribution was skewed or had other non-normal characteristics, it would be more difficult to make a definitive statement about the probability of paying less than $7,700 without additional information.

The probability distribution of a variable that is normally distributed is bell-shaped, with the majority of observations centred around the mean and decreasingly more observations as you travel away from the mean. The mean and standard deviation of the variable influence the shape of the distribution.

We may use the characteristics of the normal distribution to calculate the likelihood that a person would pay less than $7700 in taxes if we assume that the variable in question is normally distributed. To perform this computation, we would need to know the variable's mean and standard deviation.

For instance, if we were aware that the average tax paid by individuals was $10,000 with a $2,000 standard deviation, we could use a calculator or table of the standard normal distribution to estimate the likelihood that a person would pay less than $7,700. As $7,700 is more than two standard deviations below the mean, if the distribution were totally normal, we could argue that it would be exceedingly unusual for an individual to pay less than that amount. Without more information, it would be more challenging to make a firm determination regarding the likelihood of paying less than $7,700 if the distribution was skewed or had other non-normal characteristics.

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The sides h of the similar triangle is 2√6 units.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

The triangles are similar. Therefore, the side h can be found using the proportion of the sides.

using proportion,

6 / h = h / 4

cross multiply

6 × 4 = h²

h² = 24

square root both sides of the equation

h = √24

h = 2√6

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By substituting the linear equations, we know that the value of x and y are -2 and -8 respectively.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Ax+By=C is the usual form for two-variable linear equations.

A standard form linear equation is, for instance, 2x+3y=5.

When an equation is given in this format, finding both intercepts is rather simple (x and y).

So, we have the equation:

y=4x ...(1)

x+y=-10 ...(2)

Now, substitute y = 4x in equation (2):

x+y=-10

x+4x=-10

5x = -10

x = -10/5

x = -2

Then, substitute x = -2 in equation (1):
y = 4x

y = 4(-2)

y = -8

Therefore, by substituting the linear equations, we know that the value of x and y are -2 and -8 respectively.

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The ratio of the CosA will be 12 / 37 for the right-angle triangle.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that there is a right angle triangle having the Hypotenuse = 37, Base = 12, and Height = 35.

The value of CosA will be calculated as:-

CosA = Base / Hypotenuse

CosA = 12 / 37

Therefore, the ratio of the CosA will be 12 / 37 for the right-angle triangle.

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Answer:

E

Step-by-step explanation:

Answer:

16.2m^2

16.2*20=324

324 rupees

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/10 = 0.1

4/5 = 0.8

What's halfway between 1 and 8?

Let's show it on a number line:

             ¬                                                                                        ¬

_0____1____2_____3______4_____5____6_____7_____8__________

It's 4 and 5, therefore it's 4.5

0.45 comes halfway through 1/10 and 4/5

Expressed as a fraction: 45/100 = 9/20

Hope that helps! Please make me brainliest!

Answer: 0.45

Step-by-step explanation:

Answer:

Step-by-step explanation:

root of -48 is equal to 4iroot3, so plus/neg 4iroot3

Probability that Erin selects a bulb for a yellow flower or a dahlia is 52.8%.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Given, by the table

Total number of flowers = 5+4+3+3+1+2+2+5+6+0+1+4 = 36

Number of yellow flowers = 4 + 1 + 5 + 1 = 11

Number of Dahlia flowers = 5 + 4 + 3 = 12

Number of yellow Dahlia = 4

Probability of selecting bulb for a yellow flower P(y)= 11/36

Probability of selecting bulb for dahlia P(d) = 12/36

Probability of selecting bulb for yellow Dahlia P(y and d) = 4/36

Probability of selecting bulb for yellow flower or dahlia

= P(y) + P(d) - P(y and d)

= 11/36 + 12/36 - 4/36

= (11 + 12 - 4)/36

= 19/36

= 0.528

= 52.8%

Hence, 52.8% is probability that she selects a bulb for a yellow flower or a dahlia.

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Answer:

$27/month

Step-by-step explanation:

300-220=80

100%= 300

1%= 300÷100

= 3

10%= 3×10

= 30

300-30=270

270÷10= $27

The number of observations will always be the same as the sample size. Therefore, the answer is A.

What is permutation ?

In mathematics and statistics, a permutation refers to a way of arranging a set of objects in a particular order. More specifically, a permutation is an arrangement of a set of distinct objects in a specific order. For example, if we have the set {1, 2, 3}, there are six possible permutations: {1, 2, 3}, {1, 3, 2}, {2, 1, 3}, {2, 3, 1}, {3, 1, 2}, and {3, 2, 1}.

In permutations, the order of elements matters, which means that changing the order of any of the elements will result in a different permutation. Permutations are used in many areas of mathematics and statistics, including combinatorics, probability theory, and group theory. They are also used in computer science and cryptography for generating random sequences and encryption keys.

According to given conditions:

The number of observations refers to the number of data points or cases that you have in your dataset. For example, if you're collecting data on the heights of people in a certain population, each person's height measurement would be considered one observation.

A sample size, on the other hand, refers to the number of observations that you have included in your sample from the larger population. For example, if you're taking a random sample of 100 people from a population of 10,000, your sample size would be 100.

The number of elements typically refers to the number of individual items or units that you're measuring or counting. For example, if you're counting the number of cars in a parking lot, the number of elements would be the total number of cars.

The number of variables refers to the number of characteristics or attributes that you're measuring for each observation. For example, if you're collecting data on people's heights, weights, and ages, you would have three variables.

Finally, the population size refers to the total number of individuals or units in the population that you're interested in studying. This may or may not be relevant depending on the type of analysis you're doing. If you're conducting a sample survey, for example, the population size would be important to determine the appropriate sample size.

The number of observations will always be the same as the sample size. Therefore, the answer is A.

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Answer:

y=4,x= -1

Step-by-step explanation:

2y-3 =y+1

2y-y=1+3

y=4

∆CBD

2x+7=2y-3

2x+7=5

2x= 5-7

2x= -2

x= -1

Answer: Given that a, b, and c form an arithmetic sequence, so they are equally spaced, meaning the difference between each of them is constant. Let's denote the common difference between a, b, and c as d.

So, we have:

a = b - d

c = b + d

Using these two equations, we can prove that 2^a, 2^b, and 2^c form a geometric sequence.

We have:

2^a = 2^b / 2^d

2^c = 2^b * 2^d

Since the product of two powers of the same base is equivalent to the power of the base with the sum of the exponents, we have:

2^a * 2^c = 2^b * 2^b * 2^d * 2^d = 2^(b+b+d+d) = 2^(2b+2d)

So, we have:

2^a * 2^c = 2^(2b+2d) = 2^(2b) * 2^(2d) = 2^b * 2^b * 2^d * 2^d = 2^b * 2^c

This means that 2^a, 2^b, and 2^c form a geometric sequence, with the common ratio of 2^d.

Step-by-step explanation:

Lauren spent a total of 10 hours on the duties if he spent 1 3/8 hour cleaning, 7/8 hour doing laundry, and 1 5/8 cooking dinner.

A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.

Here,

To find the total time Lauren spent on the tasks, we need to add the time she spent cleaning the house, doing the laundry, and preparing food.

Cleaning the house: 1 3/8 hours

Doing the laundry: 7/8 hours

Preparing food: 1 5/8 hours

Adding these three quantities, we get:

1 3/8 + 7/8 + 1 5/8 = 1 3/8 + 7/8 + (2 3/8)

Next, we simplify each fraction by finding a common denominator of 8:

(18/8) + (7/8) + (28/8) = 1 + 7 + 2 = 10

So, Lauren spent a total of 10 hours on the tasks if he spent 1 3/8 hour cleaning the house, 7/8 hour doing the laundry, and 1 5/8 preparing food.

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Answer:

240in^3

Step-by-step explanation:

V = whl

= (12in)(8in)(2.5in)

= 240 in ^3

The value of a geometric sequence can not be zero, because for that we have to include 0 as a term in it and that will turn the sequence into zero.

A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

In geometric sequences, the terms given by the ratio of every two successive terms is a constant. they can be either negative or positive but not zero, because if any term will be zero it will directly make the common ratio equal to 0, that will make the sequence turning to  0, and it won't be a geometric progression anymore, therefore, the successive values of a geometric sequence could become infinitesimally small but never be equal to 0.

An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.

If suppose 2nd term is 0, then common ratio = 0/2 = 0, that will disturb the pattern and the sequence will not be a GP

Hence, the successive values of a geometric sequence could become infinitesimally small but never be equal to 0.

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Based on the information of area of rhombus and length of diagonal, the other diagonal of rhombus is 10.5 cm in length.

The diagonal and area of rhombus are related to each other by the formula -

Area = diagonal1 × diagonal2/2

Keep the values in formula to find the diagonal.

360 = 40 × diagonal 2/2

Rewriting the formula -

Diagonal 2 = (360 × 2)/40

Performing multiplication on Right Hand Side of the equation

Diagonal 2 = 420/40

Performing division on Right Hand Side of the equation

Diagonal 2 = 10.5 cm

The other diagonal is 10.5 cm.

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The numerical value of x in the expression 3x + 6 is 3.

The diagonals of a rectangle bisects each other and are equal.

Given that;

Since the diagonals of a rectangle bisects each other and are equal.

DG = CG

Plug in the given values and simplify.

15 = 3x + 6

Solve for x

Subtract 6 from both sides

15 - 6 = 3x + 6 - 6

9 = 3x

Divide both sides by 3

9/3 = 3x/3

9/3 = x

3 = x

x = 3

Therefore, the value of x is 3.

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