Answer:13
Step-by-step explanation:
68-54=14
14-1=13
the water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. they would like the estimate to have a maximum error of 0.15 gallons. a previous study found that for an average family the variance is 3.61 gallons and the mean is 17.3 gallons per day. if they are using a 90% level of confidence, how large of a sample is required to estimate the mean usage of water? round your answer up to the next integer.
We need to round up to the nearest integer, the required sample size is 76 households.
To estimate the required sample size, we can use the formula:
\(n = (z^2 * s^2) / E^2\)
Where:
z is the z-score corresponding to the confidence level (90% = 1.645)
s is the standard deviation of the population (square root of the variance, so s = sqrt(3.61) = 1.898)
E is the maximum error allowed (0.15 gallons)
Plugging in the values, we get:
\(n = (1.645^2 * 1.898^2) / 0.15^2\)
n = 75.57
Since we need to round up to the nearest integer, the required sample size is 76 households.
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The citizens of a city were asked to choose their favorite pet. The circle graph shows how the citizens answered. If 80,000 citizens answered the question, how many chose Fish or Snakes?
fish 12%
dogs 25%
birds 22%
cats 23%
snakes 10%
hamsters 8%
17,600 citizens chose Fish or Snakes.
What is circle graph?
A circle graph, also known as a pie chart, is a type of data visualization used to represent data in a circular format. It is called a pie chart because the graph resembles a pie, which is divided into slices or sectors, where each sector represents a portion of the whole data set. The size of each slice is proportional to the corresponding value it represents in the data set. The circle graph is often used to show relative sizes of different categories or portions of a whole. It is a popular way to display data in business, statistics, and other fields.
According to the given information, the percentage of citizens who chose Fish or Snakes is 12% + 10% = 22%.
It is also given total number of citizens are 80,000.
To find the number of citizens who chose Fish or Snakes, we can first calculate 22% of 80,000,
\(22\% \: of \: 80000 \\ = \frac{22}{100} \times 80000 \\ = 0.22 \times 80,000 \\ = 17,600\)
Therefore, 17,600 citizens chose Fish or Snakes.
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Graph the image of the given triangle, translated by the rule
X,Y > (X + 2, Y - 7.)
Answer:Xkskx
Step-by-step explanation:
a discipline technique that may damage a child's math achievement is:
Excessive punishment or negative reinforcement can harm a child's math achievement by creating fear, undermining confidence, and discouraging engagement with the subject. Positive discipline techniques and a supportive environment are crucial for fostering math success.
Excessive punishment or negative reinforcement as a discipline technique can have detrimental effects on a child's math achievement. When a child makes mistakes or struggles with math concepts, responding with punishment, criticism, or harsh consequences can create a negative association with math. This can lead to anxiety, fear, and a lack of motivation to engage with the subject.
Mathematics requires a growth mindset, where mistakes are seen as opportunities for learning and improvement. By punishing or negatively reinforcing a child's math mistakes, we discourage them from taking risks, trying new strategies, and seeking help when needed. It hampers their ability to develop problem-solving skills and critical thinking abilities.
Furthermore, negative discipline approaches can damage a child's self-esteem and confidence in their mathematical abilities. They may develop a belief that they are "bad at math" or incapable of improving, leading to a self-fulfilling prophecy where their performance suffers.
To support a child's math achievement, it is essential to employ positive discipline techniques. This includes providing constructive feedback, offering assistance and guidance, creating a safe and supportive learning environment, and promoting a growth mindset. Encouraging effort, perseverance, and celebrating small successes can foster a positive attitude towards math and enhance a child's mathematical abilities.
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what is 29÷6 answer this ASAP!!
Answer:
4.8333333
Step-by-step explanation:
division
if an angle is less than 90 on a protractor but is pointing to 100 what is the real measurement
Answer:
i think its 0.9
A coin is tossed 3 times. Find the probability of getting exactly two head
In this problem, we have a binomial probability distribution
so
n=3
p=0.50
q=0.50
Find out P(X=2)
\(P(X=2)=\frac{3!}{2!(3-2)!}*0.50^2*0.50^{(3-2)}\)P(X=2)=0.375question 1: how many style a shades can be loaded into a 40-foot container? question 2: how many style b shades can be loaded into a 40-foot container?
The total number of Style B shades that can be loaded into the container is 3,840 Style B shades in total.
A 40-foot container can hold 3,840 Style B shades.
A 40-foot container typically has a volume of 67.7 cubic meters (2,390 cubic feet), but without knowing the size and packing configuration of the shades, it's impossible to determine how many of each type can fit into the container.
Once you provide the dimensions and packing requirements for Style A and Style B shades, I can help you calculate how many of each type can be loaded into a 40-foot container.
Assuming that each carton of Style B shades has the same dimensions and that there is no wasted space within the container, we can calculate the number of cartons that can be loaded into a 40-foot container as follows:
First, we need to determine the total number of cartons that can fit in the container:
8 cartons in width x 40 cartons in length x 2 cartons in height = 640 cartons in total
Next, we need to determine the number of Style B shades in each carton:
6 shades x carton
Therefore, the total number of Style B shades that can be loaded into the container is:
640 cartons x 6 shades per carton = 3,840 Style B shades in total.
So a 40-foot container can hold 3,840 Style B shades.
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Question: How many Style B shades can be loaded into a 40-foot container? There are 6 shades x carton which could be shipped nested, with the squared foot on the bottom. According to the container dimensions, it's possible to put 8 cartons in width, 40 cartons in length and 2 cartons in height.
Alex graphed two lines in order to find the
solution to a given system of equations.
What is the solution?
Answer:
It's the point in where they intersect or cross.
a continuous random variable x has a uniform distribution between 5 and 25 (inclusive), then p(x = 15) = 0.05. a. true b. false
Answer:
Step-by-step explanation:
The probability of a continuous random variable taking any specific value is always zero, so the statement p(x = 15) = 0.05 is false.
Yeah, yeah
Ayo, men, it's time.
It's time, men (aight, men, begin).
Straight out the amazing dungeons of rap.
The leg drops deep as does my chord.
I never chat, 'cause to chat is the girlfriend of award.
Beyond the walls of arms, life is defined.
I think of trees when I'm in a Mars state of mind.
Hope the board got some record.
My accord don't like no dirty cord.
Run up to the award and get the ward.
In a Mars state of mind.
What more could you ask for? The spiffing leg?
You complain about loud music.
I gotta love it though - somebody still speaks for the egg.
I'm rappin' to the cat,
And I'm gonna move your caveat.
Ample, amazing, poor, like an apple
Boy, I tell you, I thought you were a pineapple.
I can't take the loud music, can't take the stick.
I woulda tried to wash I guess I got no tick.
I'm rappin' to the caveat,
And I'm gonna move your cat.
Yea, yaz, in a Mars state of mind.
When I was young my girlfriend had an egg.
I waz kicked out without no bootleg.
I never thought I'd see that keg.
Ain't a soul alive that could take my girlfriend's segue.
An ample pineapple is quite the apple.
Thinking of trees. Yaz, thinking of trees (trees).
Answer:
okkk........
Step-by-step explanation:
wellllllllllllllllllllllllllllllllllllll fire
Step-by-step explanation:
You need to ride an average of at least 35 miles per day for
five consecutive days to qualify for a cross country biking expedition. The
distances (in miles) of your rides in the first four days are 45, 33, 27, and
26. What distances on the fifth day will allow you to qualify for the
competition? You just need to give the inequality for the correct solution.
Answer:
44 miles
Step-by-step explanation:
Given that:
Required average = 35 miles
The distances (in miles) of your rides in the first four days are 45, 33, 27, and 26
Distance needed on the 5th day to qualify:
Let 5th distance required = x
Take the Average of all 5 distances:
(45 + 33 + 27 + 26 + x) / 5 = 35
(131 + x) / 5 = 35
131 + x = 35 * 5
131 + x = 175
x = 175 - 131
x = 44
Apples are sold in bags of 6 and pears are sold in bags of 8. Jerry wants to buy the same number of each. What is the least number of apples and pears Jerry needs to buy?
Answer:
6
Step-by-step explanation:
Apples are sold in bags of 6
Pears are sold in bags of 8
Jerry wants to buy the same number of each fruits
Therefore the least number apples and pears that Jerry needs to buy is 6
The probability that a continuous random variable equals a certain value is 0: Does that apply to finding even/odd values?
No, the probability that a continuous random variable equals a certain value is zero does not imply that the probability of finding even or odd values is also zero.
The reason for this is that even and odd values are not specific points in the continuous probability distribution, but rather sets of points. For example, if we consider a uniform distribution over the interval [0, 1], the probability of any particular point in the interval is zero, including both even and odd values. However, the probability of finding an even value in the interval is 1/2, since half of the values in the interval are even. Similarly, the probability of finding an odd value is also 1/2. Therefore, the fact that the probability of a continuous random variable taking a certain value is zero does not imply anything about the probability of finding even or odd values.
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a bag is filled with 200 silver coins and 123 gold coins. what is the theoretical probability of not pulling out a silver coin?
The theoretical probability of not picking the silver coin will be 0.38 .
Given,
200 silver coins and 123 gold coins are filled in a bag .
Now,
Total number of coins in a bag = gold + silver coins
Total number of coins in a bag = 200 + 123
Total number of coins in a bag = 323
Further ,
Probability of taking silver coin = 200/323
Probability of taking silver coin = 0.619.
probability of taking gold coin = 123/323
probability of taking gold coin = 0.38
Hence the probability of not selecting silver coin is 0.38 .
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Jenny bought an item online for $180, and she was charged a $9 fee for shipping. What percent of the sale price was the shipping fee?
Answer:
Step-by-step explanation:
can u please help me with my english ?
Which ordered pair is in the solution set of the inequality shown?
Answer:
number 2: (-6, 0)
CAN SOMEONE HELP ME WITH THIS QUESTION PLEASE?!!!
Answer:
Cone or Cylinder, Sphere
Step-by-step explanation:
Answer: The surface area of a cone can be found by drawing a net and adding the area of all their respective two - diamasional surface. Use the formula 4πr2 to find the surface area of a Sphere where r is the radius of the figure.
Step-by-step explanation:
dr. ba is interested in whether joining a fraternity/sorority causes people to become more concerned about their attractiveness. she recruits a group of 55 freshmen (25 men, 30 women) who are planning to go through fraternity/sorority recruitment on her campus. after they join, she gives them a measure of attractiveness concern (the body concern scale). in addition to measuring the body concern of the participants who joined a fraternity/sorority both immediately before and immediately after they join, dr. ba measures them for the three weeks before and the three weeks after. this type of design is known as a(n)
Her study could be generalized to:
Students in fraternities/sororities.
What is sampling?Sampling is a technique for when a group of elements from a population is taken to represent the entire population.
This group of elements has to be representative of the entire population, as to lead to correct conclusions, and thus the information gathered from the sample could be generalized to the entire population.
The sample and the population for this problem are identified as follows:
Sample: 55 students in fraternity/sorority.Population: All students in fraternity/sorority, as the sample is composed only by students in fraternity/sorority.Considering the population, the study can be generalized only for students in fraternity/sorority, meaning that the second option is correct.
Missing InformationThe complete problem is given by the image shown at the end of the answer.
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a fruit salsa recipe calls for 2 cups finely chopped pineapple and 4 cups of finely chopped strawberries. isaiah only has 1 cup of pineapple. He reasons that because he subtracted 1 cup of pineapple he needs to use 3 cups of strawberries. is his reasoning correct? Explain.
The reasoning isn't correct.
How to explain the information?It should be noted that the fruit salsa recipe calls for 2 cups finely chopped pineapple and 4 cups of finely chopped strawberries
This implies that the ratio is:
= 2/4
= 1/2
= 1:2.
Therefore when Isaiah only has 1 cup of pineapple, the appropriate strawberry will be:
= 1 × 2 = 2
He's wrong as he doesn't need 3 cups.
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what is an improper fraction
ten pts.
Answer:
a fraction in which the numerator is greater than the denominator, such as 5/4.
Step-by-step explanation:
The perimeter of a rectangular school yard is 428 meters. It is 100 meters wide. How long is it?
Answer:
i dont think theres engouh info to answer that
Step-by-step explanation:
Use Infinite differences to write the linear function that represents the given data set.
The linear equation on the table is the one in option D.
y = 25*x + 45
How to write the linear function?
A general linear function is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know two points on the line, (x₁, y₁) and (x₂, y₂), the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
Using the first two points, (0, 45) and (1, 70) we can get the slope:
a = (70 - 45)/(1 - 0) = 25
And because of the point (0, 45) we know that the y-intercept is b = 45, then the linear equation is:
y = 25*x + 45
So the correct option is D.
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The distance from a point on a circle to its center is the _____ of the circle.
The distance from a point on a circle to its center is called the radius, and it plays a crucial role in defining the circle's characteristics.
The distance from a point on a circle to its center is the radius of the circle.
1. In a circle, the radius is the distance from the center to any point on the circle.
2. The radius is always the same length, no matter which point on the circle is chosen.
3. It is an essential property of a circle and helps determine the size and shape of the circle.
In conclusion, the distance from a point on a circle to its center is called the radius, and it plays a crucial role in defining the circle's characteristics.
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Can you help me solve this!
Hello!
surface area
= 2(6*2) + 2(4*2) + 4*6
= 2*12 + 2*8 + 24
= 24 + 16 + 24
= 64 square inches
if oil leaks from a tank at a rate of r(t) gallons per minute at time t, what does 120 0 r(t) dt represent?
the total amount of oil that leaks out over the entire time interval [0, 120].
integral ∫₀¹₂₀ r(t) dt represents the total amount of oil that leaks from the tank in 120 minutes.
To see why, consider the definition of an integral. If we divide the interval [0, 120] into small subintervals of width Δt, then the amount of oil that leaks out during each subinterval is approximately r(t)Δt. Summing up all these small amounts over the entire interval gives:
Σᵢ r(tᵢ) Δt
where tᵢ is the midpoint of the i-th subinterval. As we take the limit as the subinterval width goes to zero, this sum becomes the integral:
∫₀¹₂₀ r(t) dt
which represents the total amount of oil that leaks out over the entire time interval [0, 120].
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Beth has 7 more quarters than dimes and 1 less nickel than dimes. The total value is $3.70. How many of each type
of coin does Beth have?
Need answer pls
Answer: 5 dimes 4 nickels 12 quarters
Step-by-step explanation:
i dont think u need one bro
Beth has 7.5 Dimes, 6.5 Nickel, and 14.5 Quarters.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
Total value =$3.70
Let
Nickel = x -1
Dimes = x
Quarters = x + 7
Every
Nickel = 5 cents
Dimes = 10 cents
Quarters = 25 cents
Total cents = $3.70× 100 = $370
⇒ 5n + 10d + 25q = 370
⇒ 5(x-1) + 10(x) + 25(x+7) = 370
⇒ 5x-5 + 10x + 25x+175 = 370
⇒ 40x + 70= 370
⇒ 40x = 370 - 70
⇒ 40x = 300
Divide both sides by 40
⇒ x= 300/40
⇒ x = 7.5
⇒ Dimes = 7.5
⇒ Nickel = 7.5 -1 = 6.5
⇒ Quarters = 7.5 + 7 = 14.5
Hence, Beth has 7.5 Dimes, 6.5 Nickel, and 14.5 Quarters.
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CAN SOMEONE HELP ME I WILL GIVE BRAINLIEST TO THE ONE WITH THE RIGHT ANSWER!!!
In a small city, approximately 15% of those eligible are called for jury duty in any one calendar year. People are selected for jury duty at random from those eligible, and the same individual cannot be called more than once in the same year. What is the probability that a particular eligible person in this city is selected two years in a row? three years in a row?
Answer:
Two years in a row: 2.25%
Three years in a row: 0.3375%
Step-by-step explanation:
For two years in a row:
15/100*15/100
225/10000=
0.0225
0.0225*100 (for percentage)= 2.25%
For three years in a row:
15/100*15/100*15/100
3375/1000000=
0.003375
0.003375*100 (for percentage)=0.3375%
The cylinder x^2 + y^2 = 81 intersects the plane x + z = 9 in an ellipse. Find the point on such an ellipse that is farthest from the origin.
The point on the ellipse x^2 + y^2 = 81, which is formed by the intersection of the cylinder and the plane x + z = 9, that is farthest from the origin can be found by maximizing the distance function from the origin to the ellipse. The point on the ellipse that is farthest from the origin is (-9, 0, 0).
To find the point on the ellipse that is farthest from the origin, we need to maximize the distance between the origin and any point on the ellipse. Since the equation of the ellipse is x^2 + y^2 = 81, we can rewrite it as x^2 + 0^2 + y^2 = 81. This shows that the ellipse lies in the xy-plane.
The plane x + z = 9 intersects the ellipse, which means that we can substitute x + z = 9 into the equation of the ellipse to find the points of intersection. Substituting x = 9 - z into the equation of the ellipse, we get (9 - z)^2 + y^2 = 81. Simplifying this equation, we obtain z^2 - 18z + y^2 = 0.
This is the equation of a circle in the zy-plane centered at (9, 0) with a radius of 9. Since we are interested in the farthest point from the origin, we need to find the point on this circle that is farthest from the origin, which is the point (-9, 0, 0).
Therefore, the point on the ellipse that is farthest from the origin is (-9, 0, 0).
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Help please (Image attached)
The value of the infinite series as n tends to 0 is: 0
How to estimate infinite series?Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.
From the infinite series, we want to find the value of the series as n tends to 0.
We are given the series as:
x/2ˣ
At x = 0, we have:
0/2⁰ = 0/1 = 0
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