Ian bought a package of gummy bears that contains 4 cups. If he eats 2/3 (fraction) cup every day, how many days of candy does he have?

Answer:

First choice, 75%

Step-by-step explanation:

Add all the numbers together:

15 + 8 + 10 + 12 + 15 = 60

So the probability that you'll get a lose a turn card is 15/60 which simplified is 1/4, 1/4 in decimal form is 0.25 which is 25%. % means out of 100 so to double check: 1/4 times 100 = 100/4 = 25%

There's a 25% chance that you will draw the lose a turn card so

100% - 25% = 75%

So there's a 75% probability you will not draw the lose a turn card

Answer:

75%

Step-by-step explanation:

27 ÷ 36 = 0.75

0.75 → 75%

75% of the crew are men

Hope this helped! :)

Answer:

               75%  

Step-by-step explanation:

\(\dfrac{27}{36}=\dfrac{27:9}{36:9}=\dfrac34=\dfrac{3\cdot25}{4\cdot25}=\dfrac{75}{100}=75\%\)

When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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Answer:

The third graph is precise

Step-by-step explanation:

-2 > n ≥ 4

n<-2 or n≥4 compound inequality is represented in the third graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given inequality is n<-2 or n≥4

The third number line represents the inequality  n<-2 or n≥4.

The open circle at -2 indicates that n is not included in the solution set, since the inequality is strict.

The closed circle at 4 indicates that n is included in the solution set, since the inequality is not strict.

Hence, n<-2 or n≥4 compound inequality is represented in the third graph.

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By using the principle of inclusion-exclusion, we find the value of n(B) is 52.

To find the value of n(B), we can use the principle of inclusion-exclusion, which states that:
n(A∪B) = n(A) + n(B) - n(AበB)

We are given n(A∪B) and n(A∩B), but we need to find n(A) first. We can do this using the formula:
n(A) = n(A-B) + n(A∩B)
Substitute the given values:
n(A) = 18 + 25 = 43
Now, we can find n(B) using the principle of inclusion-exclusion:
70 = 43 + n(B) - 25
Solve for n(B):
n(B) = 70 - 43 + 25 = 52

So, n(B) = 52.

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Let x be the number of students in the senior class.

Four-fifths of this number x is equal to 324 based on the first sentence and the beginning of the second sentence.

So the equation to set up is \(\boldsymbol{\frac{4}{5}x = 324}\) and it's the same as writing \(\boldsymbol{\frac{4x}{5} = 324}\)

If you want, you can stop reading here and attempt to solve on your own.

------------------------

On the other hand, if you want to know how to solve, then read on.

The '5' in the denominator means we're dividing 4x over 5.

To get that 5 to the other side, we'll multiply both sides by 5 to undo the division operation.

\(\frac{4x}{5} = 324\\\\ 5*\frac{4x}{5} = 5*324\\\\ 4x = 1620\\\\\)

Then to fully isolate x, i.e. get x all by itself, then we'll divide both sides by 4. This is to undo the multiplication of 4 onto x.

So,

\(4x = 1620\\\\ \frac{4x}{4} = \frac{1620}{4}\\\\ x = 405\)

This means there are 405 seniors overall.

4/5 of them went to prom, so (4/5)*405 = 324 went to prom. This confirms the answer.

In Exhibit 34-1, the opportunity cost of one unit of Y in Country B is 2 units of X.

Opportunity cost refers to the value of the next best alternative that is forgone when making a choice. In this case, the opportunity cost of one unit of Y in Country B is being compared to the amount of X that could be produced instead.

The given information states that the opportunity cost of one unit of Y in Country B is 2 units of X. This means that for every unit of Y that Country B produces, it must give up the production of 2 units of X. In other words, the resources and efforts that could have been used to produce 2 units of X are instead allocated to producing one unit of Y.

This relationship indicates the relative trade-off between the production of X and Y in Country B. By sacrificing the production of 2 units of X, Country B can produce one unit of Y. The opportunity cost of producing Y is therefore 2 units of X.

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Given an observation that is two standard deviations above the expected value of the sum is 266.6667. The probability that the sum is larger than 256 is 0.0848 (approx).

The given observation is two standard deviations above the expected value of the sum. It means that the given observation is 2σ above the mean value. It implies the following relation:

(given value - expected value)/σ = 2

Putting the given values, we get

266.6667 - expected value)/σ = 2

⟹ (266.6667 - expected value)/σ = 2

⟹ 133.33335 - expected value = 2σσ

= (266.6667 - expected value)/2

Substitute σ in the above equation.

⟹ 133.33335 - expected value = (266.6667 - expected value)/2

⟹ 266.6667 - 2 × expected value = 266.6667/2 - 133.33335

⟹ 2 × expected value = 133.33335 - 266.6667/2

⟹ expected value = (133.33335 - 266.6667/2)/2

⟹ expected value = 59.99997

Now, we need to find the probability that the sum is larger than 256.Z = (X - μ) / σZ = (256 - 59.99997) / (266.6667/2)Z = 1.3745736

Probability, P(Z > 1.3745736) = 0.0848300

Therefore, the probability that the sum is larger than 256 is 0.0848 (approx).

Note: In the above solution, we have not used the standard deviation value given in the question. Rather we have found it using the given observation and expected value. This is because it is easy to find the expected value using the given data. Once we have expected value and observation, we can find the standard deviation using the relation (given value - expected value)/σ = 2.

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Answer:

G=3 gigibytes

Step-by-step explanation:

$75-$63=$12

12 divided by 4 is 3, so g is 3

Your score without the penalty is 9.424.

To find your score without the penalty, we need to add 0.3 points back to your final score of 9.124. We can use the linear equation:

x = 9.124 + 0.3

This equation represents the original score, represented by x, plus the penalty of 0.3. To solve for x, we need to add 0.3 to 9.124:

x = 9.124 + 0.3

x = 9.424

So your score without the penalty is 9.424.

In this equation, x is being used to represent the original score, before the 0.3-point penalty was applied. The equation x = 9.124 + 0.3 represents that the original score was 9.124 and 0.3 points were taken off due to stepping out of bounds. By solving the equation, we are able to find the original score without the penalty which is 9.424

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Answer:

question 2 is plus 12

Step-by-step explanation:

Answer:

it would be answer 4 (+12) because you're gaining 12 yards

Answer:

144a^2

Step-by-step explanation:

8×9×2=144

144a^1×a

144a^1×a^1

144a^1+1

144a^2

The number of flower arrangements Angela can make is 715. The number of different arrangements Angela can make with 12 tulips, 6 roses, and 6 orchids is 715. We can solve this problem by using the formula for combinations which is given as; C(n, r) = n! / (r! (n - r)!)

Where;n is the total number of items available,

r is the number of items needed.

The number of ways of selecting r items from n items is denoted by C(n, r) or nCr.

To solve the problem, we need to find the total number of possible flower arrangements with 12 tulips, 6 roses, and 6 orchids.

This is the same as finding the number of combinations of 12 tulips from 13 tulips, 6 roses from 8 roses, and 6 orchids from 10 orchids.

Mathematically, we can represent this as;C(13, 12) × C(8, 6) × C(10, 6) = 13! / (12!(13 - 12)!) × 8! / (6!(8 - 6)!) × 10! / (6!(10 - 6)!) = 715 × 28 × 210 = 5,964,000

Therefore, Angela can make 5,964,000 different arrangements with 12 tulips, 6 roses, and 6 orchids.

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Answer:

Step-by-step explanation:

parell lines have same slopes

perpendical line slope product is -1

Answer: A 3(5x-8)

Step-by-step explanation: 3 times 5x is 15x and 3 times -8 is -24

The probability of a discrete random variable X following a hypergeometric distribution, with m=7, n=5, and k=6, to have a value of 5 is dhyper(5,7,5,6).

Hypergeometric distributions are used to calculate the probability of success in an independent sample drawn from a finite population without replacement. The probability of success is given by the equation: dhyper(x, m, n, k), where x is the number of successes, m is the population size, n is the number of draws, and k is the number of successes in the population.

In this case, x = 5, m = 7, n = 5, and k = 6. Therefore, the probability of success for X = 5 is dhyper(5,7,5,6).

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Answer:

C

Step-by-step explanation:

There are two corresponding angles shown and one included angle meaning the angle is in-between the two sides, allowing this to be characterized by SAS similarity.

a. To estimate the proportion of Americans who have a tattoo with a margin of error of 3.5 percentage points and 95% confidence, we need to determine the sample size required.

. we can discuss the formula and reasoning behind determining the sample size. The formula to calculate the sample size for estimating proportions is given by n = (Z^2 * p * (1-p)) / (E^2), where Z is the Z-score for the desired level of confidence (in this case, 95% corresponds to a Z-score of approximately 1.96), p is the estimated proportion, and E is the desired margin of error.

Given that the estimated proportion is unknown, we can conservatively assume a 50% proportion, which would maximize the required sample size. Plugging in the values into the formula, we have n = (1.96^2 * 0.5 * (1-0.5)) / (0.035^2). Calculating this, the result is approximately 1041.

Therefore, we would need to randomly sample approximately 1,000 people in order to estimate the proportion of Americans with tattoos with a margin of error of 3.5 percentage points and 95% confidence. Thus, the closest answer choice is B. 1,000.

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The Miller-Rabin test is a probabilistic primality test that is based on the observation that if a number is prime, certain congruence conditions should hold.

By testing multiple random values, we can determine with a high level of confidence whether a number is prime or composite.

The Miller-Rabin primality test is used to determine if a number is prime or composite. It is based on the observation that if a number, let's call it "p," is prime and satisfies the condition x^2 ≡ 1 mod p, then x ≡ ±1 mod p.

This means that if x is congruent to -1 mod p or p-1 mod p, it indicates that p is likely to be prime.

To use the Miller-Rabin test, we select a number, let's call it "n," to test for primality. We can choose a random number between 2 and n-2.

If n is prime, then for any x between 2 and n-2, the condition x^2 ≡ 1 mod n should hold. However, if n is composite, there will be values of x that do not satisfy this condition.

Here's a step-by-step explanation of the Miller-Rabin primality test:

1. Select a number, n, to test for primality.

2. Choose a random number, a, between 2 and n-2

3. Compute b = a^k mod n, where k = (n-1)/2.

4. If b ≡ 1 mod n or b ≡ -1 mod n, go to step 7.

5. For i = 1 to i = s-1 (where s is a parameter that determines the accuracy of the test):
  - Compute b = b^2 mod n.
  - If b ≡ -1 mod n, go to step 7.
  - If b ≡ 1 mod n, go to step 6.
6. Return "n is composite."

7. Repeat steps 2-6 for a different random number, a.

8. If all the tests pass without finding n to be composite, return "n is probably prime."

The Miller-Rabin primality test can provide a high level of confidence in determining if a number is prime.

By repeating the test with different random values, we can increase the probability of correctly identifying a composite number.

However, it is important to note that the Miller-Rabin test is probabilistic, meaning there is a small chance of falsely identifying a composite number as prime (known as a "false positive").

In summary, the Miller-Rabin test is a probabilistic primality test that is based on the observation that if a number is prime, certain congruence conditions should hold.

By testing multiple random values, we can determine with a high level of confidence whether a number is prime or composite.

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Answer:

R: { -8,-3,5,7}

Step-by-step explanation:

The range is the output values

R: { -8,-3,5,7}

Answer:range={-8,-3,5,7} option A

Step-by-step explanation:

So the first one is 1 square meter of ceiling, and it says 1 square meter of cieling is 10.75. So the first one is just that, 10.75

The second one says 10 square meters, so just multiply 10.75, by 10.

In which case you get 107.5. So that's the answer.

Third one, it gives you how many ceiling tiles you have. So you divide the 100 tiles by 10.75, which gives you 9.30232558, which becomes 9.3

I'm sure you can figure out the last one.

A Pearson's product-moment correlation can result in a coefficient ranging from -1 to 1, with 0 indicating no correlation and positive or negative values indicating the direction and strength of the correlation.

A coefficient close to 1 or -1 indicates a strong correlation, while a coefficient close to 0 indicates a weak correlation. It is important to note that correlation does not imply causation and that the results should be interpreted with caution. Additionally, the validity of the results depends on the quality of the data and the content loaded into the analysis.

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- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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The first three terms of the sequence is -5,-4,-1.

What is sequence of the number?

The fundamental concepts in mathematics are series and sequence. A series is the total of all elements, but a sequence is an ordered group of elements in which repetitions of any kind are permitted. One of the typical examples of a series or a sequence is a mathematical progression.

Here the given sequence nth term formula is,

=> \(T_n=n^2-2n-4\)

Now put n=1 into given formula then

=>\(T_1=1^2-2*1-4=1-2-4 =-5\)

Now put n=2 into given formula then

=> \(T_2=2^2-2*2-4=4-4-4=-4\)

Now put n=3 into given formula then

=> \(T_3=3^2-2*3-4=9-6-4=-1\)

Hence the first three term of the sequence i -5,-4,-1.

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The cot's diagonal distance from corner to corner is approximately 6.95 feet. (option 1)

To find the diagonal distance, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs (the shorter sides) is equal to the square of the length of the hypotenuse (the longest side).

In this case, the cot forms a right triangle with sides of length 6 feet and 3.5 feet. We can find the length of the diagonal (the hypotenuse) using the formula:

d = √(6² + 3.5²)

d ≈ √(36 + 12.25)

d ≈ √48.25

d ≈ 6.95 feet (rounded to the nearest hundredth)

Therefore, the cot's diagonal distance from corner to corner is approximately 6.95 feet.

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Complete Question:

Suppose a homeless shelter provides meals and sleeping cots to those in need. A rectangular cot measures 6 feet long by 3 ½ feet wide. Find the cot's diagonal distance from corner to corner. Round your answer to the nearest hundredth foot.

The equation of the graph shown can be written in factored form as follows:

y = a(x - h)(x - k)(x - m)

To find the equation, we need to identify the x-intercepts and the minimum point of the graph.

From the description, we know that the graph starts at the top left and continues down through the x-axis at x = -4. This means that one of the factors is (x + 4).

Next, the graph reaches a minimum around y = -2.8. This indicates that the graph touches the x-axis at this point, so another factor is (x + 2).

Moving forward, the graph goes back down to another minimum around y = -0.4. Again, this means the graph touches the x-axis at this point. So we have another factor, (x + 1).

Now we have all the necessary factors: (x + 4), (x + 2), and (x + 1). To determine the coefficient "a," we can use the fact that the graph goes up after crossing the x-axis at x = -2. This suggests that "a" must be positive.

Therefore, the equation of the graph in factored form is:

y = a(x + 4)(x + 2)(x + 1)

Please note that without specific points, it is not possible to determine the exact value of "a" or the precise shape of the graph. The equation provided represents a general equation that satisfies the given conditions.

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The range of the function f(x) = |x| + 7 is given by the option presented as follows:

7 ≤ y < ∞.

The range is composed by the set containing all the values assumed by the output of the function, that is, all the numeric values assumed by the function.

In the context of this problem, the function is defined as follows:

f(x) = |x| + 7.

The parent function is the absolute value function g(x) = |x|, which gives the distance of a point x from the origin, assuming real values of at least 0, as a distance cannot be negative.

The addition by 7 means that the parent function was translated up seven units, meaning that the minimum value assumed by the range is seven, and the range of the function is given by the last option given as follows:

7 ≤ y < ∞.

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The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).

In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.

A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.

When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.

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Answer:

4

Step-by-step explanation: