The approximate probability that there will not be enough vegan meals is 94.88%.
Explanation:To calculate the approximate probability that there will not be enough vegan meals, we need to find the probability that 18 or more vegans will come to the restaurant. Since the survey showed that approximately 4% of people in the city are vegans, we can use this information to estimate the probability.
First, we find the number of vegans in the city and surrounding area by multiplying the total population by the percentage of vegans: 600,000 * 0.04 = 24,000.
Next, we calculate the probability of 18 or more vegans showing up out of 24,000 by using a binomial distribution with n = 350 (the number of people expected on opening night) and p = 0.04 (the probability of a person being vegan). We then sum the probabilities for 18, 19, 20, ..., 350 vegans.
Using a calculator or statistical software, we find that the approximate probability is 0.9488, or 94.88%.
In the United States, it is possible for someone to give a gift up to how much money per year to another person without that money being taxed?
Answer:
I believe the correct answer is $10,000. I'm not positive, though.
Answer:
For years 2018 and 2019 the exclusion amount is $15000.
Step-by-step explanation:
In the United States, it is possible that you can give any individual a gift up to $15000 as per year 2018 and 2019, without having to file a gift tax return to report that gift.
Hence, for the years 2018 and 2019, the annual exclusion amount is $15,000.
I NEED HELP WITH A QUICK QUESTION! 30 POINTS!
For the circle with equation (x - 2)² + (y+3)² = 9 , answer each question.
(a) What are the coordinates of the center?
(b) What are the radius and diameter of the circle?
(c) Graph the circle.
Answer:
The center is (2 ,-3)
The radius is 3
The diameter is twice the radius = 2(3) = 6
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 =r^2
where (h,k) is the center and r is the radius
(x - 2)² + (y+3)² = 9
(x - 2)² + (y- -3)² = 3^2
The center is (2 ,-3)
The radius is 3
The diameter is twice the radius = 2(3) = 6
The center of the circle is at (2, -3), the radius is 3 units, and the diameter is 6 units. To graph the circle, plot the center point (2, -3) and draw a circle with a radius of 3 units around it.
Explanation:(a) The coordinates of the center of the circle are (2, -3). The equation of the circle is in the form (x - h)² + (y - k)² = r², where (h, k) are the coordinates of the center and r is the radius. In this case, (h, k) = (2, -3).
(b) The radius of the circle is 3 units. The diameter is twice the radius, so the diameter of the circle is 6 units.
(c) To graph the circle, plot the center point (2, -3) and draw a circle with a radius of 3 units around it.
Which is the equation in the slope-intercept form for the line that passed through (2, 8) And it is perpendicular to 4x + 2y= 6?
Answer: [tex]y=\frac{1}{2}x+7[/tex]
Step-by-step explanation:
The slope-intercept form of the equation of the line is the following:
[tex]y=mx+b[/tex]
Where m is the slope and b the y-intercept.
By definition, when two lines are perpendicular, their slopes are opposite reciprocals.
Then, to find the slope of the equation of the line given, you can solve for y:
[tex]4x+2y=6\\2y=-4x+6\\\\y=-2x+3[/tex]
As you can see, the slope of this line is -2.Then, the slope of the line that is perpendicular to it, must be:
[tex]m=\frac{1}{2}[/tex]
Substitute the slope and the point given, into the equation and solve for b:
[tex]8=\frac{1}{2}(2)+b\\8=1+b\\b=7[/tex]
Therefore, the equation of this line is:
[tex]y=\frac{1}{2}x+7[/tex]
The area of Mr.Birardis pool is 63x+81. If the width of his pool is 9,what is the length?
Answer:
The length is 7x+9
Step-by-step explanation:
We know that area equals length times width
A = l*w
63x+81 = l*9
The area is 63x+81 and the width is 9
Divide each side by 9
63x/9 +81/9 = 9l/9
7x +9 = l
The length is 7x+9
Answer:
The length should be 7x+9
Ivan has 15 yards of green felt 12 yards of blue felt to make 3 quilts, how many yards does he use for each quilt
Answer:
27
Step-by-step explanation:
Y = 5x – 1 –15x – 3y = 3 How many solutions does this linear system have? one solution: (0, –1) one solution: (1, 4) no solution infinite number of solutions
Answer:
one solution: (0, –1)
Step-by-step explanation:
we have
[tex]y=5x-1[/tex] ----> equation A
[tex]-15x-3y=3[/tex] ----> equation B
isolate the variable y in the equation B
[tex]3y=-15x-3[/tex]
[tex]y=-5x-1[/tex] ----> equation C
Compare equation A and equation C
The equations are different
The slopes are different ( are not parallel lines)
therefore
The system has one solution
Solve the system
equate the equation A and equation C and solve for x
[tex]5x-1=-5x-1[/tex]
[tex]5x+5x=-1+1[/tex]
[tex]x=0[/tex]
Find the value of y
[tex]y=5(0)-1=-1[/tex]
The solution is the point (0,-1)
Luke is 5 years younger than 3 times Sydney's age, s. In this situation, what does 3s represent?
in this case, s is 5 years older than luke's age
Answer:
3s represents:
3 times of Sydney's age
Step-by-step explanation:
We are given that:
Luke is 5 years younger than 3 times Sydney's age, s.
i.e. Sydney's age is denoted by s
Then,
3s represents 3 times of Sydney's age
Hence, 3s represents:
3 times of Sydney's age
Brian wants to purchase a car wash "package" from his local car wash. He can either get unlimited car washes for a month for $35 with no additional charges. Or, he can buy a discount package, where he pays $22 for the month plus $1.50 per car wash. He wants to know how many car washes he would need to get in order to make the $35 deal a better choice.
y=22x+1.5 Substitute 35 for x: y=22(35)+1.5; y=771.5, which means it would take 772
car washes for the plans to be worth the same amount.
y=1.5x+22 Substitute 35 for y: 35=1.5x+22; y≈8.7, which means at 9 car washes, the unlimited package at $35
would be cheaper.
y=22x+1.5 Substitute 35 for y: 35=22x+1.5; y≈1.5, which means at 2 car washes, the unlimited package at $35
would be cheaper.
y=1.5x+22 Substitute 35 for x: y=1.5(35)+22; x=74.5, which means the discount package is cheaper unless Brian gets 75 car washes.
Answer:
y=1.5x+22 Substitute 35 for x: y=1.5(35)+22; x=74.5, which means the discount package is cheaper unless Brian gets 75 car washes. or d plz make Brainleist.
Step-by-step explanation:
The option that would make the $35 deal a better choice is 75 cars washes.
What makes the $35 deal better?The equation that can be used to determine the required value is:
$22 + $1.50x
Where x represents the number of car washes
Substitute x with 35
$22 + $1.5(35) = 74.5 = 75 cars
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A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.19. They have also determined that the probability that someone has lung cancer, given that they are a smoker is P(LC|S)=0.158. What is the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer P(S∩LC) ?
0.35
0.03
0.02
0.83
Answer:
0.03
Step-by-step explanation:
The given question uses the concept of Conditional Probability. The general formula of conditional probability in terms of two events A and B is:
[tex]P(A|B) = \frac{P(A \cap B}{P(B)}[/tex]
In the given case, the two events are:
LC = Event that someone has lung cancer
S = Event that someone is smoker
The formula in terms of these events will be:
[tex]P(LC | S)=\frac{P(S \cap LC)}{P(S)}[/tex]
Using the given values, we can find the probability that a random person is a smoker and has lung cancer P(S∩LC).
[tex]0.158=\frac{P(S \cap LC)}{0.19} \\\\ P(S \cap LC) = 0.158 \times 0.19\\\\ P(S \cap LC) = 0.03[/tex]
Therefore, the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer P(S ∩ LC) is 0.03
Answer:
P (S∩LC) = 0.03
Step-by-step explanation:
It is known that the probability if someone is a smoker is P(S)=0.19 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.158.
So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).
P (LC|S) = P (S∩LC) / P (S)
Substituting the given values to get:
0.158 = P(S∩LC) / 0.19
P (S∩LC) = 0.158 × 0.19 = 0.03
Find the polynomial M if 2x^2− 1/3 ax+by−M=0.
AND
Find the polynomial B if 3x^2y− 1/3 xy^3+cy+B=0.
Pls Help ASAP! Thanks
23/8 for the most part I think
Find the measure of the line segment indicated.
Assume that lines which appear tangent are tangent.
A) 10
B) 6
C) 14
D) 7
Answer:
Option A. 10
Step-by-step explanation:
we know that
Applying the Intersecting Secants Theorem
[tex]QS*RS=CS*TS[/tex]
substitute the values
[tex](11x-1+8)*(8)=(9+7)*(9)[/tex]
solve for x
[tex](11x+7)*(8)=(16)*(9)[/tex]
[tex]88x+56=144[/tex]
[tex]88x=144-56[/tex]
[tex]88x=88[/tex]
[tex]x=1[/tex]
Find the measure of QR
[tex]QR=11x-1=11(1)-1=10[/tex]
Please help me with this
Center pole = SQRT(10^2 - 4.8^2)
Center pole = SQRT(100-23.04)
Center pole = SQRT(76.96)
Center pole = 8.8 feet
Two types of survey questions are open questions and closed questions. An open question allows for any kind of? response; a closed question allows for only a fixed response. An open question and a closed question with its possible choices are given below. List the advantages and disadvantages of each question.Open? question: What can be done to get students to eat healthier? foods?Closed? question: How would you get students to eat healthier? foods?1. Mandatory nutrition course2. Offer only healthy foods in the cafeteria and remove unhealthy foods3. Offer more healthy foods in the cafeteria and raise the prices on unhealthy foods
Answer:
Let's start with the open question.
Benefits
The benefits of using an open question is that it allows you to get a wide array of answers. People asked can come up with unique answers that the person who came up with the survey may not have thought of. This allows for more possibilities of finding a good solution.
Disadvantages
The disadvantage of this system is that you may get answers that would not work. For instance, if you wanted to incentivize students to each healthier, an open ended answer might suggest giving a monetary reward for those who eat healthy. This is not feasible in a school, so therefore getting this as an answer is a waste of time.
Now let's tack the close question.
Benefits
The key benefit of the closed question is that is allows you to settle between options that the surveyor has set on. Likely, if there are 3 answers, we know that these are the only ways that we can solve the problem with the resources that we have.
Disadvantages
If you ask a question this way, there is not chance that you'll be given alternative methods to solving the problem. Someone being surveyed may have a great idea on how to solve the problem that is not listed. Using this method will not garner you the response to inform you of this way.
Open questions in surveys capture rich data and offer depth of knowledge but are harder to analyze. Closed questions allow for easy analysis and comparison but tend to limit the respondents' answers.
Explanation:Open and closed questions in surveys convey their individual advantages and disadvantages. Open questions offer the advantage of capturing rich, detailed data that can provide profound insights. For instance, in response to 'What can be done to get students to eat healthier foods?' a variety of unforeseen ideas may surface, providing a depth of knowledge. However, open questions are harder to analyze due to the broad variety of responses, and they may confuse or overwhelm respondents with their open-ended nature.
On the other hand, closed questions, such as 'How would you get students to eat healthier foods?' with provided options, have the advantage of readily quantifiable answers which allows for easy comparison and analysis. These questions also guide respondents in formulating their answers. However, they may limit respondents' answers and may not provide the full perspective or nuanced responses that open questions can elicit.
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Fourteen percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, approximately what is the town's population?
Answer:
Approximately the town´s population are 2285 people.
Step-by-step explanation:
1. Lets name the total population of the town as x, so the percentage of the population that is over the age of 65 can be expressed as:
[tex]P_{+65}=0.14x[/tex]
2. As there are 320 residens over the age of 65, means that the fourteen percent of the town´s population is equal to 14%, that is:
[tex]320=0.14x[/tex]
3. Solving for x it can be found the town´s population:
[tex]x=\frac{320}{0.14}[/tex]
[tex]x=2285people[/tex]
Which choices correctly describe reflections in the diagram? Check all that apply.
1)The red triangle A is reflected across the x-axis onto triangle B.
2)The red triangle A is reflected across the y-axis onto triangle D.
3)The blue triangle D is reflected across the x-axis onto triangle C.
4)The blue triangle D is reflected across the line y = x onto triangle B.
5)The green triangle C is reflected across the line y = –x onto triangle A.
Answer:
2
3
5
.................................................
Answer:
2, 3, 4.
I don't have an explanation I just did the test.
Two lengths of a triangle measure 6 feet and 10 feet what can the length of the third side
Answer:it could possibly equal 2[tex]\sqrt{x}[/tex]34 or 8Step-by-step explanation: by the pythagorean thoerm 6[tex]x^{2}[/tex]+10[tex]x^{2}[/tex] = 2[tex]\sqrt{x}[tex]34 or 6[tex]\sqrt{x}[/tex] +b[tex]x^{2}[/tex]=10[tex]x^{2}[/tex]
Final answer:
The length of the third side of the triangle is approximately 11.66 feet.
Explanation:
To find the length of the third side of a triangle, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the lengths of the two sides given are 6 feet and 10 feet. So, we can calculate the length of the third side as follows:
a² + b² = c²
6² + 10² = c²
36 + 100 = c²
136 = c²
c = √136
c ≈ 11.66 feet
Susan Sound predicts that students will learn most effectively with a constant background sound, as opposed to an unpredictable sound or no sound at all. She randomly divides twenty-four students into three groups of eight. All students study a passage of text for 30 minutes. Those in group 1 study with background sound at a constant volume in the background. Those in group 2 study with noise that changes volume periodically. Those in group 3 study with no sound at all. After studying, all students take a 10-point multiple choice test over the material. Their scores follow: Table Constant sound Random Sound No Sound 7 5 2 4 5 4 6 3 7 8 4 1 6 4 2 6 7 1 2 2 5 9 2 5 1. State the type of statistical test that you will use to conduct your hypothesis test.
Answer:
An ANOVA test
Step-by-step explanation:
You will use the ANOVA test, which is a test that compares the means of more than 2 samples. Since the teacher used 3 test groups, she would have to use this test if she wanted to do a hypothesis test to determine if the means are equal.
*This test only tells us if the means are equal, it won't say which is greater than the other. You would have to do 3 individual hypothesis tests comparing 2 means at a time in order to determine that.
An ANOVA (Analysis of Variance) is the appropriate statistical test to use when comparing the test scores of students studying under different sound conditions (constant sound, random sound, and no sound).
The type of statistical test to use for conducting a hypothesis test in this scenario would likely be an ANOVA (Analysis of Variance), which is specifically designed to compare the means of three or more groups. Since we have three independent groups of students (constant sound, random sound, and no sound) and we want to test if there is a significant difference in the test scores that could be attributed to the study condition, ANOVA is the appropriate choice of test.
The information provided about the music and sound conditions suggests that the volume of any background music should be low enough to not disrupt conversation and that it may serve as an auditory memory cue if used consistently. Additionally, the studies mentioned indicate various effects of background music on task performance among students, be it learning a passage, recalling information, or completing reading comprehension tasks. These factors would be considered when interpreting the results of the ANOVA.
Given the figure, what is x?
A) 216
B) 144
C) 96
D) 72
D) x = 72
If this helps, please mark brainliest
Answer:
if ur doing usa test prep it’s D) 72
Step-by-step explanation:
The losing team in a baseball game scored 2 runs. Which inequality represents the number of runs, r , that the winning team could have scored? A. R?2 B. R>2 C. R<2 D. R=2
B. R>2 because to win the game they must have had more runs than the losing team
Final answer:
The inequality that represents the number of runs the winning baseball team could have scored is r > 2, since the winning team must score more than the losing team, which scored 2 runs.
Explanation:
The student is asking for the inequality that represents the number of runs, r, that the winning team could have scored in a baseball game, given that the losing team scored 2 runs. The condition to win a game is that the winning team must score more runs than the losing team. Therefore, if the losing team scored 2 runs, the inequality that represents the number of runs the winning team scored is r > 2. This is because the winning team must have scored more than 2 runs to win.
Bart works 36 hr a week and makes $612.Charles worked 34hr a week and makes$663.Who makes more per he how do you know
Answer:
Charles
Step-by-step explanation:
Bart worked for 36 hours, and earned $612.
$612 / 36 = $17 is what he earned per hour
Charles worked for 34 hours, and earned $663.
$663 / 34 = $19.5 is what he earned per hour
You don't even need to solve for anything actually. Just looking at the given values, you will see that Charles earned more money despite working less hours compared to Bart.
Alexi's restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi needs to pay?
Answer:
8.00
Step-by-step explanation:
its all about moving over the decimal
The question also the answer options are below in the attachment. Please and thanks in advance! :)
Answer:
35 7/8.
Step-by-step explanation:
The total length of the wood before any cutting was done = 4 * the mean
= 4* 36 5/8 = 4* 293/8
= 146 1/2 feet.
So the length of the fourth piece = 146 1/2 - (36 3/4 + 36 3/8 + 37 1/2)
= 146 1/2 - 110 5/8
= 36 + 1/2 - 5/8
= 35 7/8 answer.
Turn the mean into an improper fraction.
36 5/8 = 293/8
Multiply the mean by four.
293/8 * 4/1 = 1172/8 or 146 1/2
Add all the sides together.
36 3/4 + 36 + 3/8 + 37 1/2 = 110 5/8 or 885/8
Subtract.
1172/8 - 885/8 = 287/8 or 35 7/8
Best of Luck!
If a fair die is tossed, find the probability that the uppermost face displays a(n):
if a fair dice is tossed the probability is (T, H) (H, T) ( T, T) (H, H)
A fair, six-sided die has six equally likely outcomes. The probability of any one face showing up when the die is tossed is 1/6 or approximately 0.1667. Probability is a long term expectation under ideal theoretical conditions.
Explanation:The question is asking about the probability of each face showing up when a six-sided die is tossed. A fair, six-sided die has six possible outcomes: the faces are numbered 1, 2, 3, 4, 5, or 6. Each face is equally likely to be the uppermost face when the die is tossed. Therefore, the probability of any one face showing up is 1 out of 6, or approximately 0.1667.
Probability is a theoretical concept that tells us how likely an event is to occur. It does not describe the short-term results of an experiment. Rather, it gives information about what can be expected in the long term. Thus, if you were to toss a fair, six-sided die many times, you would expect that each face would come up about one-sixth of the time. This expectation is based on the assumption of ideal theoretical conditions where the die is fair.
Probability is a key concept in statistics and is used in many different areas of life, including in decision making, prediction, risk management, and games of chance.
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A Farmer divisids 20acre sections into 1-4 Acer sections into how many sections does the farmer divide her land
Answer:
80 - 1/4 acre sections
Step-by-step explanation:
If the farmer is dividing her land into 1/4 acre sections...
1. there will be 4 sections in one acre (4/4 = 1)
2. multiply 4 (sections) by 20 (acres)
4*20 = 80
Consider the function below. x -1 0 1 2 f(x) -2 3 8 13 Which of the following functions could be the inverse of function f? A. x 1 0 -1 -2 s(x) -2 3 8 13 B. x -2 3 8 13 q(x) -1 0 1 2 C. x -2 -3 -8 -13 r(x) 1 0 -1 -2 D. x -1 0 1 2 p(x) 2 -3 -8 -13
Answer: B
x q(x)
-2 -1
3 0
8 1
13 2
Step-by-step explanation:
An inverse of a function is a reflection across the y=x line. This results in each (x,y) point becoming (y,x).
x f(x)
-1 -2
0 3
1 8
2 13
So the inverse becomes:
x Inverse
-2 -1
3 0
8 1
13 2
Answer:
The correct option is B.
Step-by-step explanation:
The table of values of a function is given below:
x : -1 0 1 2
f(x) : -2 3 8 13
If a function is defined f:R→R
[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]
them the inverse of function is defined as
[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]
The table of values of inverse function is
x : -2 3 8 13
f⁻¹(x): -1 0 1 2
We can say that q(x) is the inverse function of f(x). Therefore the correct option is B.
If P(A)=0.35, then the probability of the complement of A is
0.55
-0.35
0.35
0.65
Answer:
P(A') = 0.65
Step-by-step explanation:
We are given that the probability P(A) = 0.35 and we are to determine the probability of the complement of A.
According to the Complement Rule of any probability, the sum of the probabilities of an event and its complement must be equal to 1.
So for for the event A,
P(A) + P(A') = 1
0.35 + P(A') = 1
P(A') = 1 - 0.35
P(A') = 0.65
The probability of the complement of A is 0.65
How to determine the probability of the complement of AThe probability of A is given as:
P(A) = 0.35
To calculate the probability of the complement of A, we make use of the following complement formula
P'(A) = 1 - P(A)
So, we have:
P'(A) = 1 - 0.35
Evaluate
P'(A) = 0.65
Hence, the probability of the complement of A is 0.65
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A circle with circumferemce 18 has a arc with a 120 degrees central angle. What is the length of the arc
360°=18
120°=x
x=120*18/360=6
Here is a list of numbers: 3.8, 5.3, 8.8, 1.6, 4.7, 8.8, 2.6 ,9.6 ,5.6 ,4 State the median.
Write an expression to represent: Four more than the product of three and a number x
Answer: 4+3x
Step-by-step explanation:
Describe, in your own words, the identity sin^2(x) + cos^2(x) = 1.
Look at the attached figure. We define the unit circle as a circle with center [tex]A[/tex] in the origin (0,0) and radius 1.
Then, we consider a point P on the circumference. We call [tex]\alpha[/tex] the angle between the positive half of the x axis and the radius AP.
We define
[tex]\cos(\alpha) = \overline{AD},\quad \sin(\alpha) = \overline{AC}[/tex]
As you can see, ACD is a right triangle, and so we have
[tex]\overline{AD}^2+\overline{AC}^2=\overline{AP}^2[/tex]
But since we know that AD is the cosine, AC is the sine, and AP is the radius (which is 1, and remains 1 when squared), we have just found out that
[tex]\cos(\alpha)^2+\sin(\alpha)^2=1[/tex]