how many 3 combinations can you make with 11 numbers

Answer: it’s square root(72) and no the length is not a rational number

Step-by-step explanation:

The probability of getting at least one head in two flips of a coin is 3/4 or 0.75, which means that there is a 75% chance of getting at least one head in two flips of a coin.

To find the probability of at least one head in two flips of a coin, we can use the complement rule. The complement of the event "at least one head" is "no heads."

The probability of getting no heads in two flips of a coin is (1/2) x (1/2) = 1/4.

Therefore, the probability of getting at least one head in two flips of a coin is:

1 - (probability of no heads) = 1 - 1/4 = 3/4

The probability of getting at least one head in two flips of a coin is 3/4 or 0.75, which means that there is a 75% chance of getting at least one head in two flips of a coin.

In other words, if you flip a coin twice, the probability of getting at least one head is relatively high, and you are more likely to get at least one head than to get no heads at all.

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1. The height of the cone is equal to

2. You can solve for the slant height, s by applying Pythagorean's theorem.

3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.

In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:

Volume of cone, V = 1/3 × πr²h

Where:

By substituting the given parameters into the formula for the volume of a cone, we have the following;

8792 =  1/3 × 3.14 × 20² × h

26,376 =  3.14 × 400 × h

Height, h = 26,376/1,256

Height, h = 21 mm.

Question 2.

In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.

Question 3.

By applying Pythagorean's theorem, we have the following:

r² + h² = s²

20² + 21² = s²

400 + 441 = s²

s² = 841

Slant height, s = √841

Slant height, s = 29 mm.

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Answer: n= 18

Step-by-step explanation: 3/8 of 48 is the same as 3/8 times 48

Answer:

18

Step-by-step explanation:

48 divided into 8 parts is 6

3x6=18

The correct response is D. a segment of a line that goes on forever in one direction from one terminal.

A line is a one-dimensional, perfectly straight shape that extends forever and is infinitely thin in both directions. A line may be referred to as a straight line or, more formally, a right line (Casey 1893), to stress that there are no "wiggles" throughout its entire length. When two points are connected with the smallest possible distance between them and both ends stretched to infinity, a line is the shape that results. Despite the fact that lines don't have a clear beginning or finish, they are represented in our daily lives by things like railroad tracks and freeways. Any section of a line with two fixed endpoints is referred to as a line. Line segments make up a line.

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The statement "I estimate that the probability of my getting married in the next 3 years is 0.7" does make sense.

As individuals, we can make personal estimates or predictions about events that are relevant to our lives, such as the probability of getting married in a certain timeframe. These estimates are based on our own subjective beliefs, experiences, and expectations. While they may not be based on precise mathematical calculations or rigorous statistical analysis, they can still reflect our personal opinions or perceptions.

In this case, the person is providing an estimate that they believe there is a 0.7 (or 70%) probability of getting married within the next 3 years. This estimate is a subjective assessment of their own chances based on various factors such as their current relationship status, personal goals, or cultural norms.

It is important to note that personal estimates like this are not necessarily based on concrete evidence or universally applicable probabilities. They can vary greatly from person to person and are subjective in nature. However, they can still hold personal meaning and influence one's decision-making or expectations regarding future events.

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The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

m = (y2 - y1)/(x2 - x1)

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

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Answer:

The formula for the future value of a single sum is:

F = P * (1 + r/n)^(nt)

Where:

F is the future value

P is the principal (the initial deposit)

r is the annual interest rate

n is the number of compounding periods per year

t is the number of years

For our calculation, we have:

P = £7000

r1 = 3% = 0.03

r2 = 1.5% = 0.015

n = 1 (annual compounding)

t1 = 1 (first year)

t2 = 1 (second year)

So, the future value of Ella's investment at the end of the first year is:

F1 = £7000 * (1 + 0.03/1)^(1 * 1) = £7000 * (1.03)^1 = £7,210

And the future value of Ella's investment at the end of the second year is:

F2 = £7,210 * (1 + 0.015/1)^(1 * 1) = £7,210 * (1.015)^1 = £7,333.15

So, at the end of 2 years, the value of Ella's investment is £7,333.15.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let total money be m

Then, the money spent on 2 video games is 1/5m

Each game costs:

So each video game costs 1/10 of birthday money

Answer:

1/10

Step-by-step explanation:

spent 1 on 2 video games

          5

= 1/5

    2 games

= 1/10 of money spent on each game

MOV eax, val2 ; Load val2 into eax , NEG eax ; Negate eax , IMUL eax, 7 ; Multiply eax by 7 , IMUL edx, val3, val1 ; Multiply val3 by val1 and store in edx , SUB eax, edx ; Subtract edx from eax and store the result in eax

To implement the given arithmetic expression in assembly language, we need to follow a series of steps. First, we load the values of val1, val2, and val3 into separate registers. Assuming these values are stored in memory, we use appropriate load instructions (e.g., mov) to fetch them into registers. Next, we perform the multiplication of val2 by 7 using the appropriate assembly instruction (e.g., imul) and store the result in a temporary register. Then, we multiply the value of val3 by val1 using another multiplication instruction, storing the result in a separate temporary register.

To negate the value of the first temporary register (containing -val2 * 7), we can use the neg instruction. Finally, we subtract the value of the second temporary register (containing val3 * val1) from the negated value obtained earlier. This subtraction can be accomplished using a subtraction instruction (e.g., sub). The result of this subtraction should be stored in the register eax.

It's important to note that the specific assembly instructions used may vary depending on the architecture and assembly language being used. The provided explanation offers a general outline of the steps involved in implementing the given arithmetic expression in assembly language.

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For a given probability distribution, The random variable also contains discrete values, The variance and standard deviation are computed in terms of Expected values E(X).

The mathematical formalization of a number or object that is subject to chance events is known as a random variable. It is a function or mapping between a space of potential outcomes, commonly real numbers, to a space of measurement.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

for discrete probability distribution , E(x) = x*P(x)

for continuous probability distribution ,  E(x) = x *f(x)

Variance = \(E(X^2)-(E(X))^2\)

standard deviation = \(\sqrt {Variance}\)

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Answer:

36

Step-by-step explanation:

24 div 2, 12.

48 div 2, 24.

24+12,36

The angle 'z' is 30 degrees. the angle 'y' is 110 degrees. the angle 'y' is 110 degrees.

An angle is a geometric figure formed by two rays or line segments that share a common endpoint, called the vertex of the angle. The two rays or line segments that form the angle are referred to as the sides of the angle.

The size of an angle is typically measured in degrees, with a full circle comprising 360 degrees. Angles less than 90 degrees are called acute angles, angles that measure exactly 90 degrees are called right angles, angles greater than 90 degrees but less than 180 degrees are called obtuse angles, and angles that measure exactly 180 degrees are called straight angles.

In addition to these basic types of angles, there are several other important concepts related to angles, such as complementary angles (two angles whose sum is 90 degrees), supplementary angles (two angles whose sum is 180 degrees), adjacent angles (two angles that share a common side and vertex), and vertical angles (a pair of angles that are opposite each other and have the same measure).

The sum of internal angles of a triangle is 180 degrees.

Take the triangle ABC.

∠A= (30 + 40)°
    = 70°
∠B = 80°

The sum of internal angles of a triangle is 180 degrees.

∠A + ∠B + ∠z°= 180°

                 ∠z° = (∠A + ∠B)
Substitute values in the above expression.

∠z° = 180° - (70° + 80°)
     =  180° - 150°
     =  30°
Thus, the angle 'z' is 30 degrees.

From triangle ADC,

∠A = 40°

∠C = z°

     = 30°

The sum of internal angles of a triangle is 180 degrees.

∠A + z° + y° = 180°
               y° = 180° - (∠A + z°)

Substitute values in the above expression.

y° = 180 - (40° + 30°)

   = 180° - 70°

   =  110°

Thus, the angle 'y' is 110 degrees.

From the given figure, the angle x and y are supplementary angle. That is the sum of angles is 1800.

x° + y° = 180°
      x°= 180° - y°
Substitute the values in the above expression.

x° =  180° - 110°

   =  70°

Thus, the angle 'x' is 70 degrees.

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The complete question is:  

Answer:

x=-3

Step-by-step explanation:

The values of y with respect to the points created is constant, hence the two points will have the same y values but difference their respective x values

The two options that could result from combining two linear functions with addition are "16x – 12" and "17x – 12". The r to your question is:

To combine two linear functions with addition, you simply add the coefficients of the same variables. For example, if you have the functions 3x + 4 and 2x - 5, when you combine them with addition, you add the coefficients of x and the constant terms. So, 3x + 4 + 2x - 5 becomes (3 + 2)x + (4 - 5) = 5x - 1.

To combine two linear functions with multiplication, you multiply the coefficients of the same variables. For example, if you have the functions 3x + 4 and 2x - 5, when you combine them with multiplication, you multiply the coefficients of x and the constant terms. So, (3x + 4)(2x - 5) becomes

(3 * 2)x^2 + (3 * -5)x + (4 * 2x) + (4 * -5)

= 6x^2 - 15x + 8x - 20

= 6x^2 - 7x - 20.

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Answer:

the asnwer is D

Step-by-step explanation:

sheeeeeesh

When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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Answer: 16z

Step-by-step explanation: So ,  Let's simplify step-by-step.

4a+12a

Combine Like Terms:

=4a+12a

=(4a+12a)

=16a

Answer:

=16a

Hope this helps :)) _Have a great day!

i believe a(4+12) is an equivalent expression for 4a+12a

all I did was simplify the equation to make it shorter. you'll still receive the same answer for both.

According to a recent survey of 1,001 adult Canadians, 27 percent of respondents indicated that they do not want to be unionized.

The survey of 1,001 adult Canadians asked respondents about their preference regarding unionization. Out of the total respondents, 27 percent expressed that they do not want to be unionized. This percentage represents the proportion of individuals who indicated a lack of interest or desire to be part of a labor union.

It is important to note that without additional information about the survey methodology, sample representation, and any potential biases, the result should be interpreted within the context of the survey's limitations. The percentage obtained from the survey reflects the preferences of the respondents in the sample but may not necessarily represent the opinions of the entire population of adult Canadians.

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The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

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The average daily loss of Anthony's shop in April is $20.

The average daily loss is the total net profit (loss) divided by the number of days in April.

An average is the mean of the value in a data set, which is determined as the quotient between the total value and the number of items.

Days in April = 30

Daily profit in 12 days = $400

Daily loss in 18 days (30 - 12) = $300

Total daily profit = $4,800 ($400 x 12)

Total daily loss = $5,400 ($300 x 18)

Net daily loss = $600 ($5,400 - $4,800)

Average daily loss = $20 ($600/30)

Thus, in April, Anthony's shop incurred an average daily loss of $20.

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Answer:

Step-by-step explanation:

Given "Two triangles that have three pairs of proportional sides are always similar."

Triangle 1: 18, 24, 36

Triangle 2: 16, 18, 24

16/18 = 8/9

18/24 = 3/4

24/36 = 2/3

So the three pairs of sides are not proportional and the triangles are not similar.

No as

One ratio is unsimilar so triangles are not similar

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:

9(8t^2+25)

Step-by-step explanation:

The sampling distribution of the proportion of people who respond "yes" in samples of 4 individuals is not binomial. This is because the binomial distribution has specific requirements that must be met, including a fixed number of trials, independent outcomes, and a constant probability of success. the probability of observing a sample proportion of 0.75 or higher is approximately 0.16.        

Assuming that the sample size is sufficiently large and the proportion of people who respond "yes" in the population is not too close to 0 or 1, the sampling distribution of the proportion of people who respond "yes" in samples of 4 individuals can be approximated by a normal distribution using the Central Limit Theorem. This means that the distribution of the sample proportion will be approximately normal with a mean equal to the population proportion and a standard deviation equal to the square root of [p(1-p)/n], where p is the population proportion and n is the sample size.

For example, let's say that we know that 60% of the population believes that gun laws should be more stringent. If we take samples of 4 individuals and calculate the proportion of people who respond "yes" in each sample, the sampling distribution of these proportions can be approximated by a normal distribution with a mean of 0.6 and a standard deviation of sqrt[(0.6)(0.4)/4] = 0.15.

Using this normal approximation, we can calculate probabilities and confidence intervals for the sample proportion. For example, if we take a sample of 4 individuals and find that 3 of them respond "yes," the sample proportion is 0.75. We can calculate the probability of observing a sample proportion of 0.75 or higher by standardizing the sample proportion using the mean and standard deviation of the sampling distribution:

z = (0.75 - 0.6)/0.15 = 1

Using a standard normal distribution table or calculator, we can find that the probability of observing a standard normal random variable greater than or equal to 1 is approximately 0.16. This means that the probability of observing a sample proportion of 0.75 or higher is approximately 0.16.

In summary, while the sampling distribution of the proportion of people who respond "yes" in samples of 4 individuals is not binomial, it can be approximated by a normal distribution using the Central Limit Theorem under certain conditions. This approximation allows us to calculate probabilities and confidence intervals for the sample proportion, even when the exact distribution is unknown.

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Answer:

y= 3x

Step-by-step explanation:

This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.

Answer:

slope of the linear equation is 3

a point on the graph of a linear equation is (4,12)

linear equation can be written as y-12 = 3 (x-4)

Step-by-step explanation:

Cuz it is

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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Answer:

Step-by-step explanation:

Shaded area = Area of big circle - area of small circle as two half-circles add up to small circle

Area formula:

Shaded area

Answer:     120

Step-by-step explanation:

Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display.

LengthWidth=scaleactual=4l=scaleactual=8w

Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet.

LengthWidth=4l=1160=8w=1160

Next, cross multiply each equation.

LLWW=4×160=640 feet=8×160=120 feet

Then, to find the area of the display, multiply length times width.

The actual size of the dinosaur is 90 feet.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

A model of a dinosaur is 3.75 feet,

and the scale-factor for the actual dinosaur is 1:24.

So,

the size of the actual dinosaur = model size x the scale-factor

The size of the actual dinosaur = 24 x 3.75

The size of the actual dinosaur = 90 feet.

Therefore, the actual size is 90 feet.

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