A jazz band wants to sell $5,502 worth of tickets. If each ticket costs $42, how many tickets will the band have to sell to meet its goal?

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.

The American Institute of CPAs would like to update the study.

They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.

Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.

The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²

Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

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Step-by-step explanation:

Use conditional probability.

P(A given B) = P(A and B) / P(B)

P(instrument given freshman) = P(instrument and freshman) / P(freshman)

P(instrument given freshman) = 0.10 / 0.30

P(instrument given freshman) = 0.33

Answer:

Step-by-step explanation:

Answer: Question 1 : 1 Mile

Question 2 : 2

Step-by-step explanation:

Answer:

52 an hr

Step-by-step explanation:

Answer: A) 23

Step-by-step explanation:

You can substitute x in the equation for the unknown number.

This way, x + 2x= 69

3x=69

x=23

Answer:

23

Step-by-step explanation:

just use the multiple choices and get your answer.

I got 23 as the answer.

23 + 46 = 69

Answer:

C

Step-by-step explanation:

To find the number of licorice ropes r that came in the bag, the equation would be r = 27.

A system of equations is two or more equations that can be solved to get a unique solution.

Each student gets 3 licorice ropes to decorate the roof of his or her gingerbread house.

Let the number of licorice ropes that came in the bag be r.

The equation formed:

Therefore, to find the number of licorice ropes r that came in the bag, the equation would be r = 27.

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Answer:

89

Step-by-step explanation:

Given that Wendy took 2 tests and scored, 77 and 80 respectively, let x represent the grade of Wendy's third test.

To get an average grade of 82, let's generate an equation to find x (Wendy's grade on her third test).

Average grade = sum of all 3 grades all over 3

\( 82 = \frac{77 + 80 + x}{3} \)

\( 82 = \frac{157 + x}{3} \)

Multiply 3 by both sides

\( 82*3 = \frac{157 + x}{3}*3 \)

\( 246 = 157 + x \)

Subtract 157 from each side of the equation

\( 246 - 157 = 157 + x - 157 \)

\( 89 = x \)

Wendy must score 89 on her third test to have an average of 82.

For all positive integer, (i) The result of 3 • 7 is 1. (ii) The result of 7 • 21 is 7. (iii) The result of 1 + 3 is 3. (iv) The result of 3 + 21 is 21. (v) The result of 3′ is 7.

(i) 3 • 71

To find the result of 3 • 7, we need to calculate the greatest common divisor (gcd) of 3 and 7.

The gcd(3, 7) = 1, which means that the only positive integer that divides both 3 and 7 without leaving a remainder is 1.

The result of 3 • 7 is 1.

(ii) 7 • 21

7

To find the result of 7 • 21, we need to calculate the gcd of 7 and 21.

The gcd(7, 21) = 7, which means that the only positive integer that divides both 7 and 21 without leaving a remainder is 7.

The result of 7 • 21 is 7.

(iii) 1 + 3

3

To find the result of 1 + 3, we need to calculate the least common multiple (lcm) of 1 and 3.

The lcm(1, 3) = 3, which means that the smallest positive integer that is divisible by both 1 and 3 is 3.

The result of 1 + 3 is 3.

(iv) 3 + 21

21

To find the result of 3 + 21, we need to calculate the lcm of 3 and 21.

The lcm(3, 21) = 21, which means that the smallest positive integer that is divisible by both 3 and 21 is 21.

The result of 3 + 21 is 21.

(v) 3′

7\

To find the result of 3′, we need to divide n (which is 21) by 3.

21 divided by 3 equals 7.

The result of 3′ is 7.

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Answer:

\(2x+y=150\)

Step-by-step explanation:

Number of games = 4

Number of controllers = 2

Mr. Gutierrez and his brother want to purchase a game console that is $300.

Let \(x\) denotes number of games and \(y\) denotes number of controllers.

\(4x+2y=300\)

Divide this equation by \(2\)

\(2x+y=150\)  

So, the expression to represent the situation is \(2x+y=150\)

The probability of X falling between 5 and 8 is 0.3, and this probability is proportional to the length of the interval.

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Meg can get 1 and 3/4 servings of 1/2 jug from her 7/8 jug of orange juice.

Meg has a 7/8 jug of orange juice, and she wants to know how many 1/2 jug servings she can get from it. To solve this problem, we need to divide the total amount of orange juice by the amount of orange juice in each serving.

First, we need to convert the 7/8 jug to an equivalent fraction with a denominator of 2. To do this, we can multiply both the numerator and denominator of 7/8 by 2, which gives us 14/16.

Next, we can divide 14/16 by 1/2 to find out how many 1/2 jug servings Meg can get from the jug. To divide fractions, we invert the second fraction and multiply. So we have:

14/16 ÷ 1/2 = 14/16 x 2/1 = 28/16

Now, we need to simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 4. So we have:

28/16 = (28 ÷ 4) / (16 ÷ 4) = 7/4

Therefore, Meg can get 7/4 or 1 and 3/4 servings of 1/2 jug from her 7/8 jug of orange juice.

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Answer:

-2.

Step-by-step explanation: Since you are going left its a negative slope.

Answer:

-2

Step-by-step explanation:

To find the slope we can do rise over run or y/x

y/x = -2/1 = -2

So that is the slope

And if you need the slope-intercept, it will be -2...and the formula will be

y = -2x - 2

But the slope is -2.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

Option B.

Step-by-step explanation:

Hope it helps! =D

The value of x from the given diagram is approximately 17.7

Applying this theorem to the given triangle, we will have:

x/x+14.2  = 13.3/13.3+10.7

x/x+14.2 = 13.3/24

x/x+14.2 =0.55416

x = 0.55416(x+14.2)

x - 0.55416x = 7.8692

0.44584x = 7.8692

x = 17.7

Hence the value of x from the given diagram is approximately 17.7

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I think its .26 because am smart

The rate of change of the angle of elevation is -2π/3 radians/second.

We can use the tangent ratio to solve this problem. Since the rope is attached to the boat, we can draw a right triangle with the rope as the hypotenuse. The angle of elevation is the angle formed by the rope and the horizon.

The pulley is 5 feet above the water level, so the length of the opposite side (the side adjacent to the angle) is 5 feet. The length of the hypotenuse is 12 feet, since the boat is 12 feet from the dock.

Using the tangent ratio, we can calculate the angle of elevation:

tan(θ) = opp/hyp = 5/12

θ = arctan(5/12) = 0.927 rad

Now, since the rope is being pulled in at 3 ft/sec, the length of the hypotenuse is decreasing at a rate of 3 ft/sec. Therefore, the rate of change of the angle of elevation is:

rate of change of θ = -(3 ft/sec) / (12 ft) = -2π/3 radians/second

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Answer:

this is the answer−6x^2 +10x+7

Answer:-5-6

Step-by-step explanation:

Answer:

A square or cube....

Step-by-step explanation:

Who keep spamming random questions????

True. The central limit theorem states that if the sample size n is large enough (usually considered to be at least 30), then the sampling distribution of the mean will be approximately normal, regardless of the shape of the population distribution.

The sampling distribution of the mean can be approximated by the normal distribution if the sample size (n) is at least 30. This statement is based on the Central Limit Theorem, which states that the sampling distribution of the mean of a random sample drawn from any population will approach a normal distribution as the sample size increases, regardless of the shape of the population distribution. A sample size of 30 is often considered the threshold for approximating a normal distribution in such cases.

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Answer:

C. Are all real numbers greater than or equal to -8.

Step-by-step explanation:

Real numbers can be said to be all continuous values of quantity, which can be negative or positive values.

The range of h, h(x), in the table given are all real numbers.

The least of the range of h on the table is -8. All the other range values, namely, -7, 1, 17, and 41 are all greater than -8. None is less than -8.

Therefore, we can conclude that the range values of h "are all real numbers greater than or equal to -8".

Answer:

x=23,y=15

Step-by-step explanation:

take away 8 from 38, divide it by 2, you get 15. add 8 to one of the set of two 15s. you get 23 and 15

We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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In a genogram, various symbols and lines represent different aspects of a person's familial relationships and attributes. Here's a breakdown of the symbols you mentioned:

1. Square: A square in a genogram indicates a male individual. It represents the person's gender and is used to distinguish between male and female family members.

2. Circle: A circle in a genogram indicates a female individual. It represents the person's gender and is used to distinguish between male and female family members.

3. Solid horizontal line: A solid horizontal line in a genogram represents a marital relationship between two individuals. The line connects a square (male) and a circle (female) to show that they are married or in a committed partnership.

4. Broken line: A broken line in a genogram represents a non-blood relationship, such as an adoptive parent-child relationship or a step-sibling connection. It is used to show relationships that are not based on biological ties.

5. X through a square/circle: An X through a square or a circle indicates that the individual is deceased. This symbol is used to show that the person has passed away and is no longer living.

6. Solid vertical line: A solid vertical line in a genogram represents a parent-child relationship. It connects an individual (either a square or circle) to their parent(s), showing the biological connection between the family members.

These symbols and lines help provide a visual representation of a person's family history and relationships, making it easier to analyze and understand the various connections within a family tree.

Overall, a genogram is a visual representation of a family tree that includes important information about relationships, health issues, and other relevant details. By understanding the various symbols and indicators used in a genogram, it is possible to gain a deeper understanding of family dynamics and relationships, as well as potential risk factors for various health conditions. As such, genograms are an important tool for healthcare providers, therapists, and other professionals working with individuals and families.

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The equation that describes the simple harmonic motion of the particle is:

x = 7 * sin(2t + φ)

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be represented as:

x = A * sin(ωt + φ)

In this equation:

x represents the displacement of the particle at time t.

A represents the amplitude of the motion.

ω represents the angular frequency or angular speed of the motion.

t represents time.

φ represents the phase constant.

In the given scenario, the particle is moving uniformly around a circle of radius 7 units, with an angular speed of 2 radians per second. In circular motion, the displacement can be represented by the arc length along the circumference of the circle.

Since the angular speed is 2 radians per second, the angular frequency (ω) is also 2 radians per second.

Since the particle is moving uniformly, the amplitude of the motion (A) is equal to the radius of the circle, which is 7 units.

The phase constant (φ) determines the initial position of the particle at t = 0.

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