56 boys and 34 girls visit a zoo.

46 of these children have a voucher.

Three times as many boys as girls do not have a voucher.

Complete the frequency tree

The probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10.

To find the probability that both digits in a New York State daily lottery game are different, we need to first calculate the total number of possible outcomes. Since there are 10 digits (0-9) that can be selected for each of the two digits in the sequence, there are a total of 10 x 10 = 100 possible outcomes.

Now, we need to determine the number of outcomes where both digits are different. There are 10 possible choices for the first digit and only 9 possible choices for the second digit, since we cannot choose the same digit as the first. Therefore, there are a total of 10 x 9 = 90 outcomes where both digits are different.

The probability of both digits being different is equal to the number of outcomes where both digits are different divided by the total number of possible outcomes. Thus, the probability is 90/100, which simplifies to 9/10, or 0.9.

In summary, the probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10. This means that there is a high likelihood that both digits selected will be different.

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There are 23 quarters and 29 dimes in the bag.

Let's denote the number of quarters as "q" and the number of dimes as "d".

We can set up a system of two equations based on the given information:

The total number of coins is 52:

q + d = 52

The total value of the coins is $8.35, where each quarter is worth $0.25 and each dime is worth $0.10:

0.25q + 0.10d = 8.35

To solve this system of equations, we can use substitution, elimination, or any other appropriate method.

Let's use elimination to solve this system of equations.

0.10(q + d) = 0.10(52)

25q + 10d = 835

25q + 10d = 835

0.25q + 0.10d = 8.35 (multiply by 100)

Now, let's multiply both sides of the first equation by 2 and the second equation by 8 to make the coefficients of "q" the same:

50q + 20d = 1670

200q + 80d = 6680

Now, let's subtract the first equation from the second equation to eliminate "q":

200q + 80d - (50q + 20d) = 6680 - 1670

150q + 60d = 5010

Now, let's divide both sides of the resulting equation by 30 to solve for "q":

150q/30 + 60d/30 = 5010/30

5q + 2d = 167

After trying different values, we find that when "q" = 23 and "d" = 29, the equation is satisfied and the condition "q + d = 52" is also satisfied. Therefore, there are 23 quarters and 29 dimes in the bag.

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Answer:

x2 + 4x +4

Step-by-step explanation:

did this

The probability of winning prize is 8 / 377348994

Probability is a measure of the possibility of an event occurring.

The likelihood could range from 0 to 1, where 0 indicates an impossibility and 1 indicates a certainty. Every event in a sample space has an overall probability of one. By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula.  

Probability = Favorable Outcomes/Total Outcomes

Probability of possible outcome = ⁸C₇

Probability of total outcome = ⁴⁶C₈

The probability of winning prize =  ⁸C₇ / ⁴⁶C₈

                                                     = 8 / 377348994

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To find the period ofTo find the period of simple harmonic motion for a mass attached to a spring, we can use the formula T = 2π√(m/k), where T represents the period, m is the mass, and k is the spring constant.

In this case, the mass of the object is given as 4 lb, and the spring constant is 16 lb/ft. To find the period, we need to convert the mass from pounds to slugs, since the formula requires mass in slugs and the conversion factor is 1 slug = 32.174 lb/ft^2.

To solve the problem:

Let's calculate it:

4 lb / 32.174 lb/ft^2 ≈ 0.124 slugs.

T = 2π√(0.124 slugs / 16 lb/ft) = 2π√(0.124 / 16) ≈ 0.785 seconds.

Therefore, the period of simple harmonic motion for this system is approximately 0.785 seconds.

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The number that represents the distance and direction from her office to the parking garage is; -8

The absolute value of a number is defined as the distance of that specific number from zero.

Now, when we talk about an elevator, an upward motion indicates a positive sign while a downward motion indicates a negative sign. Now, we are told that from Raisa's office, she took  the elevator down eight floors to the parking garage.

Since it is a downward motion, the distance will be negative and since it is 8 floors downward, we conclude that the distance and direction is given by -8

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Answer:

Step-by-step explanation:

ask cymath it will help you with any mathmatical problem

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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Doris needs to complete a total of 30 hours of continuing education to renew her real estate license for the first time. As she has already completed 20.5 hours of CE, she needs to complete an additional 9.5 hours of CE.

It's important to note that continuing education requirements vary by state and licensing board, so it's always a good idea to check with the relevant authorities to ensure you meet all the requirements for license renewal. Real estate agents are typically required to complete a certain number of continuing education hours within a specific time frame in order to maintain their license and stay up-to-date with industry developments and best practices. This is important to ensure they are equipped with the necessary knowledge and skills to provide quality services to their clients.
In summary, Doris needs to complete an additional 9.5 hours of CE to meet the 30-hour requirement for renewing her real estate license for the first time.

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a) There are 126 ways to select and write four letters of the word ALGORITHM in a row.

b) There are 70 ways to select and write five letters of the word ALGORITHM in a row, with the requirement that the first two letters must be AL or LA.

a) The number of ways to select and write four of the letters of the word ALGORITHM in a row, we can use the concept of combinations.

The word ALGORITHM has a total of 9 letters. We want to select and arrange 4 letters in a row.

The number of ways to select and arrange 4 letters out of a set of 9 can be calculated using the combination formula

C(n, r) = n! / (r!(n - r)!)

where n is the total number of items and r is the number of items to be selected.

In this case, we have n = 9 and r = 4.

Using the formula, we can calculate:

C(9, 4) = 9! / (4!(9 - 4)!)

= 9! / (4! × 5!)

= 126

b) Now let's consider the case where five letters are selected from the word "ALGORITHM," and the first two letters must be either "AL" or "LA" at the beginning.

There are two possible arrangements for the first two letters: "AL" or "LA." After selecting the first two letters, we need to select and arrange three more letters from the remaining seven letters.

Using the concept of combinations, we can calculate the number of ways to select and arrange three letters out of a set of seven:

C(7, 3) = 7! / (3!(7 - 3)!)

= 7! / (3! × 4!)

= 35

Since there are two possible arrangements for the first two letters, we multiply this by 2:

Total number of ways = 2 × C(7, 3) = 2 × 35 = 70

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Answer:

B

Step-by-step explanation:

B is on the upper half of the plane meaning its y-value is positive, however it is on the left side of the plane meaning its x-value is negative.

A would be (+,+)

C would be (-,-)

D would be (+,-)

Answer:

it all =22

Step-by-step explanation:

Answer:

The 16th term is 91

Step-by-step explanation:

The 16th term is U16 given by

U16=a+(n-1)d

U16=1+(16-1)×6

U16=1+(15×6)

U16=91

Sarah's final position would be negative. Therefore, option B is the correct answer.

Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.

A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.

Therefore, option B is the correct answer.

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Answer:

each notebook would cost $4

Step-by-step explanation:

21-13=8.    8/2=4

Answer: f(-2) = -7

Explanation: If f(x) = 3x - 1, then f(-2) is 3(-2) - 1 which simplifies to -7.

So the value of the function at -2 is -7.

The standard equation of this ellipse is x²/144 + y²/80 = 1.

The standard equation of an ellipse is (x-h)²/a² + (y-k)²/b² = 1, where (h,k) is the center of the ellipse, a is the semi-major axis, and b is the semi-minor axis.

In this case, the center of the ellipse is (0,0) since the vertices and foci are both on the y-axis. The distance between the vertices is 24 (12 - (-12)), so the semi-major axis is 12. The distance between the foci is 16 (8 - (-8)), so the distance between the center and each focus is 8. Using the formula c² = a² - b², where c is the distance between the center and each focus, we can solve for b:

c² = a² - b²
8² = 12² - b²
64 = 144 - b²
b² = 80

So the equation of the ellipse is (x-0)²/12² + (y-0)²/80 = 1, or x²/144 + y²/80 = 1.

You keep getting (x²)/80 + (y²)/144 because you are switching the values of a and b. The semi-major axis should be in the denominator of the x term, and the semi-minor axis should be in the denominator of the y term.

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Answer:

27/35

write all numerators above the LCD 35

20 + 7 over 35

add the numerators

The answer is in the two images below and one of them shows step-by-step on how to solve it.

Hope this helps my friend! :)

The rate of change of the radius of the balloon is approximately 0.0441 inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches compared to when it is 16 inches.

Let's begin by establishing some important relationships between the radius and diameter of a sphere. The diameter of a sphere is twice the length of its radius. Therefore, if we denote the radius as "r" and the diameter as "d," we can write the following equation:

d = 2r

Now, we are given that the balloon is being inflated at a constant rate of 20 cubic inches per second. We can relate the rate of change of the volume of the balloon to the rate of change of its radius using the formula for the volume of a sphere:

V = (4/3)πr³

To find how fast the radius is changing with respect to time, we need to differentiate this equation implicitly. Let's denote the rate of change of the radius as dr/dt (radius change per unit time) and the rate of change of the volume as dV/dt (volume change per unit time). Differentiating the volume equation with respect to time, we get:

dV/dt = 4πr² (dr/dt)

Since the volume change is given as a constant rate of 20 cubic inches per second, we can substitute dV/dt with 20. Now, we can solve the equation for dr/dt:

20 = 4πr² (dr/dt)

Simplifying the equation, we have:

dr/dt = 5/(πr²)

To determine how fast the radius is changing at the instant the balloon's diameter is 12 inches, we can substitute d = 12 into the equation d = 2r. Solving for r, we find r = 6. Now, we can substitute r = 6 into the equation for dr/dt:

dr/dt = 5/(π(6)²) dr/dt = 5/(36π) dr/dt ≈ 0.0441 inches per second

Therefore, when the diameter of the balloon is 12 inches, the radius is changing at a rate of approximately 0.0441 inches per second.

To determine if the radius is changing more rapidly when d = 12 or when d = 16, we can compare the values of dr/dt for each case. When d = 16, we can calculate the corresponding radius by substituting d = 16 into the equation d = 2r:

16 = 2r r = 8

Now, we can substitute r = 8 into the equation for dr/dt:

dr/dt = 5/(π(8)²) dr/dt = 5/(64π) dr/dt ≈ 0.0246 inches per second

Comparing the rates, we find that dr/dt is smaller when d = 16 (0.0246 inches per second) than when d = 12 (0.0441 inches per second). Therefore, the radius is changing more rapidly when the diameter is 12 inches compared to when it is 16 inches.

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Answer:

1/2 or 0.5

Step-by-step explanation:

(y2-y1)/(x2-x1)

(4 - - 3)/ (8 - -6)

7/14

1/2 or 0.5

The given data sample contains all integers from 530 to 380 and all integers from 379 to 531. This means that the sample includes 152 integers in total. To find the mean of the sample, we need to add up all the numbers and divide by the total number of integers.

To do this, we can take the average of the two endpoints (530 and 380), which is 455. Then we can add the sum of the integers between 380 and 530, which is (530-381+1) + (530-379) = 150 + 151 = 301. Finally, we divide the total sum by the number of integers, which is 152, and get:

Mean = (455 + 301) / 152 = 3.980263158

Therefore, the mean of the given data sample is approximately 3.9803.

In summary, we can find the mean of a sample by adding up all the numbers and dividing by the total number of items. In this particular sample, we first found the average of the two endpoints and then added the sum of all the integers between them to find the total sum. Finally, we divided the total sum by the number of integers to find the mean of the sample.

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Jane has (2/3)d dollars left after buying one beanie boo.

Let's call the cost of one beanie boo "x".

Then, if Jane wants to buy 3 beanie boos, she would spend 3x.

However, she only bought one beanie boo, so she spent x. We know that she spent all of her money, which is "d", so we can set up the equation:

3x = d (the cost of 3 beanie boos is equal to the amount of money Jane has)

To find out how much money Jane has left after buying one beanie boo, we need to subtract the cost of one beanie boo (x) from the total amount of money she has (d). We can solve for x by dividing both sides of the equation by 3:

3x/3 = d/3

x = d/3

Now we can substitute this value of x into our original equation:

3x = d

3(d/3) = d

d = d

So we can see that the amount of money Jane has is "d", and since she only spent "x" to buy one beanie boo, she has "d - x" left:

d - x = d - (d/3)

d - x = (2/3)d

Therefore, Jane has (2/3)d dollars left after buying one beanie boo.

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Answer: 7.5 pounds.

Step-by-step explanation: 2.5 x 3 = 7.5.

Answer:

Your answer would be 96vw^7/x

Step-by-step explanation:

0.96w^7v/x

I'm pretty sure this is the right anwser I hope this helps.

Answer:

We can’t see the question

Step-by-step explanation:

we need a question to solve for the question

Answer:

The GCF of 35 and 30a, will be 5.

Step-by-step explanation:

5 is the greatest number that can be factored into 35 and 30a.

Answer:

x = 11

Step-by-step explanation:

In this question, you would solve for x.

Solve for x:

7(x - 4) = 4x + 5

Use the distributive property.

7x - 28 = 4x + 5

Subtract both sides by 4x.

3x - 28 = 5

Add 28 to both sides.

3x = 33

Divide both sides by 3.

x = 11

Your final answer would be x = 11

Answer:

x=11

Step-by-step explanation:

First, do the parentheses (PEMDAS).

7(x-4)=4x+5 to 7x-28=4x+5

Then, add 28 to either side to get all the numbers on one side.

7x-28=4x+5 to 7x=4x+33

After that, subtract 4x to get all the x's on one side.

7x=4x+33 to 3x=33

Finally, divide by 3 to get your final answer.

3x=33 to x=11

(hope this helps :P)

Answer:

C

Step-by-step explanation:

The points wont be absolute on the line since they are decimals so you could gather 2 points like (27,162) and (32,141) and calculate for y which is y2-y1/x2-x1 but it would not give you the right answer so you would need to use linear regression using 3 values. First Calculate the sum of the x-values, then the y -values. Now sum the products of each data point and then, calculate the sum of the x-values squared and the y-values squared. Finally, count the number of data points you have. In this case we have three data points (N=3), then use the Number of points you have times the x and y sums you got from squaring and adding to get the slope.

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Hypotheses are used to make predictions about data. They help identify what the data analyst wants to confirm or disprove.

Supervisor asks Junior Data Analyst to present her two hypotheses for a data analysis project.

We must explain the purpose of your hypothesis.

In other words, a type of statistical inference called

hypothesis testing uses data from a sample to infer population parameters or population probability distributions. First, an educated guess is made about the parameter or distribution.

Here, the hypothesis goal is to make inferences about the

data. Data analysts use them to decide what to prove or disprove.

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