Dot plot 2, on the other hand, is skewed and does not have a symmetrical distribution, which may not be a good representation of the sample means.
What is normal distribution ?
Normal distribution is a statistical concept that describes a symmetrical, bell-shaped curve that is characterized by its mean and standard deviation. It is a continuous probability distribution that represents the probability of a random variable taking on a certain value.
As per the Central Limit Theorem, the sample means of a sufficiently large sample size taken from any population tend to follow a normal distribution, regardless of the shape of the population distribution. Therefore, the dot plot that is likely to represent the means of the samples of size 10 from this population is dot plot 1 because it has a more symmetrical distribution, which is more similar to a normal distribution.
Hence, Dot plot 2, on the other hand, is skewed and does not have a symmetrical distribution, which may not be a good representation of the sample means.
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this homework is due now!!!!!
Answer:
D
Step-by-step explanation:
step by step... solved
Chau works as a busboy making $9 per hour and as a theater usher making S8 per hour. Let b be the number of hours he works as a busboy this month, and
let u be the number of hours he works as an usher.
His goal this month is to earn more than $1500 total. Using the values and variables given, write an inequality describing this.
The inequality describing Chau's goal to earn more than $1500 total this month is, $9b + $8u > $1500
This inequality represents Chau's goal to earn more than $1500 in total this month by working as a busboy and a theater usher.
The first term, $9b, represents the earnings from Chau's hours worked as a busboy, where $9 is his hourly rate as a busboy, and b is the number of hours worked as a busboy.
The second term, $8u, represents the earnings from Chau's hours worked as a theater usher, where $8 is his hourly rate as an usher, and u is the number of hours worked as an usher.
Total earnings = (hourly rate as busboy x number of hours as busboy) + (hourly rate as usher x number of hours as usher)
So, we can write the inequality for Chau's goal as follows:
$9b + $8u > $1500
where b is the number of hours worked as a busboy and u is the number of hours worked as an usher.
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In observational studies, the variable of interest ____
A. cannot be numerical.
B. must be numerical. C. is controlled. D is not controlled.
Option A. In observational studies, the variable of interest can be either numerical or categorical, so it does not have to be numerical.
Observational studies are a type of study in which researchers observe and record data on variables of interest without manipulating them directly. These studies are often used in fields such as epidemiology, social sciences, and psychology to investigate relationships between variables and identify potential risk factors for diseases or other outcomes.
The variable of interest in an observational study can be either numerical or categorical. Numerical variables are those that can be measured and expressed as a numerical value, such as age, height, weight, or blood pressure. Categorical variables are those that are qualitative or nominal in nature, such as gender, race, or smoking status.
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In observational studies, the variable of interest ____
A. cannot be numerical.
B. must be numerical.
C. is controlled.
D is not controlled.
What is the conversion of 70c to fahrenheit?
70 °C is equal to 158 °F.
A temperature unit developed from the SI (International System of Units) is the Celsius (symbol: °C).
Prior to the adoption of the metric system, the Fahrenheit (symbol: °F) was a commonly used measurement of temperature.
To convert a temperature from Celsius (°C) to Fahrenheit (°F),
We can use the following formula:
°F = (°C x 1.8) + 32
Where
°F is the temperature in Fahrenheit
°C is the temperature in Celsius.
Substituting 70 for °C,
We get:
°F = (70 x 1.8) + 32
Simplifying the expression:
°F = 126 + 32
°F = 158
Therefore, 70 degrees Celsius is equal to nearly 158 degrees Fahrenheit.
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in 2004,Kenenisa Bekele of ethiopia ran 5,000 meters in 12 minutes, 37.35
what is this distance to the nearest tenth of a mile
In 2004, as per the run, the distance to the nearest tenth of a mile is 3.11 miles.
The distance that Kenenisa Bekele of Ethiopia ran in 2004 is equal to 5,000 meters, which is equivalent to 3.11 miles to the nearest tenth of a mile. To calculate this distance, you can use a simple conversion formula.
To convert meters to miles, you need to divide the number of meters by 1609.34.
In this case, we would divide 5,000 meters by 1609.34, which gives us 3.11 miles.
=> 5000/ 1609.34 = 3.11 miles.
This is the total distance that Kenenisa Bekele ran in 2004 to the nearest tenth of a mile.
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q= (2-4t)/(t+3)
MAKE T the SUbject.
/ stands for division.
ty.
The answer is t = (2 - 3Q)/(4+Q).
According to given information:To make t the subject of the given equation:
(2-4t)/(t+3)
We can start by cross-multiplying both sides by (t+3) to eliminate the denominator on the left-hand side:
(2 - 4t) = (t+3) * Q
where Q is an unknown value that is the result of the cross-multiplication.
Next, we can distribute the right-hand side:
2 - 4t = Qt + 3Q
Then, we can rearrange the equation by moving all the terms with t to one side and the constant terms to the other side:
2 - 3Q = t(4+Q)
Finally, we can divide both sides by the coefficient of t to isolate t:
t = (2 - 3Q)/(4+Q)
Therefore, the equation in terms of t is:
t = (2 - 3Q)/(4+Q)
What is equation ?In mathematics, an equation is a statement that two expressions are equal to each other. It consists of two sides: the left-hand side and the right-hand side, which are connected by an equals sign (=). An equation typically contains one or more variables, which are represented by symbols such as x, y, or z, and the goal is often to solve for these variables in order to find their values that make the equation true.
For example, the equation x + 2 = 5 is an algebraic equation that states that the sum of x and 2 is equal to 5. Solving this equation for x gives us x = 3, which means that the value of x that makes the equation true is 3.
Equations are used to model many real-world problems in mathematics, science, engineering, economics, and other fields, and they are an important tool for understanding and solving complex problems.
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seven of the twelve basic functions have the property that f(0) = 0. which five do not?
The constant function, reciprocal function, exponential function, natural log function, and cos function have the property of f(0) ≠ 0.
There are 12 basic functions
Constant function f(x) = CIdentity function f(x) = xReciprocal function f(x) = 1/xSquare function f(x) = x²Cubic function f(x) = x³Square root function f(x) = √xOdd function f(x) = -f(-x)Even function f(x) = f(-x)Exponential function f(x) = eˣNatural log function f(x) = lnxCosine function f(x) = cosxSine function f(x) = sinxNow here we are asked those 5 basic functions where f(0) ≠ 0
Here if we see serial wise
the constant function will always be a constant irrespective of the value of x. Now f(0) here, will not be provided the constant is not 0.
Then we have the reciprocal function where f(0) = 1/0 which is undefined.
The next function is the exponential function
here f(0) will be e⁰ = 1
Then there is the natural log function where ln0 is undefined.
Last we have the cos function where f(0) = cos0 = 1
Hence, the constant function, reciprocal function, exponential function, natural log function, and cos function have the property of f(0) ≠ 0.
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A glass case is in the shape of a rectangular prism. The volume of the case is 4/125 cubic foot. How many cubic blocks with a side length of 1/5 foot would be required to find the volume of glass case?
2
3
4
5
A glass case is in the shape of a rectangular prism where the volume of the case is 4/125 cubic foot. The number of cubic blocks with a side length of 1/5 foot required to find the volume of glass case is option C: 4.
What is the rectangular prism?
A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional solid shape that has six faces, where each face is a rectangle.
The volume of the glass case is 4/125 cubic foot. We can write this as:
V = l × w × h = 4/125
where l, w, and h are the length, width, and height of the rectangular prism, respectively.
To find how many cubic blocks with a side length of 1/5 foot would be required to find the volume of the glass case, we need to find the number of cubic blocks that can fit in the rectangular prism. Since the side length of each block is 1/5 foot, the volume of each block is (1/5)^3 = 1/125 cubic foot.
Therefore, the number of cubic blocks required is:
number of blocks = V / volume of one block
number of blocks = (4/125) / (1/125)
number of blocks = 4
So, we would need 4 cubic blocks with a side length of 1/5 foot to find the volume of the glass case.
Hence, the answer is 4.
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What is the result 31 x 2 ?
Answer: 62
Step-by-step explanation:
The result of multiplying the numbers 31 by 2 is 62.
When you multiply two numbers, you are essentially adding the first number to itself a certain number of times, determined by the second number.
In this case, when you multiply 31 by 2, you are adding 31 to itself two times:
31 + 31 = 62
Therefore, the result of multiplying 31 by 2 is 62.
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What is a value of inches to the nearest hundredth? 1/22
Answer:
Step-by-step explanation:
0.14285714285714286
What is constant acceleration equations?
The constant acceleration equations are:
The position equation: x = x0 + v0t + 1/2at^2
The velocity equation: v = v0 + at
The acceleration equation: a = (v - v0)/t
Constant acceleration equations describe the motion of an object that is experiencing a constant acceleration. When an object experiences a constant acceleration, its velocity changes by the same amount in equal time intervals. The equations that describe this motion are as follows:
The position equation: x = x0 + v0t + 1/2at^2
where x is the position of the object at time t, x0 is the initial position of the object, v0 is the initial velocity of the object, a is the constant acceleration of the object, and t is the time elapsed.
The velocity equation: v = v0 + at
where v is the velocity of the object at time t, v0 is the initial velocity of the object, a is the constant acceleration of the object, and t is the time elapsed.
The acceleration equation: a = (v - v0)/t
where a is the constant acceleration of the object, v is the velocity of the object at time t, v0 is the initial velocity of the object, and t is the time elapsed.
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The consumer price index tends to:
a. Overstate changes in the cost of living because it does not take account of quality changes
b. Overstate change in the cost of living because consumers substitute toward goods whose relative prices are declining
c. Understate change in the cost of living because consumers substitute toward goods whose relative prices are declining
d. Understate changes in the cost of living because services are excluded, whose prices tend to grow more quickly than good prices
e. Understate changes in the cost of living because the prices of volatile items such as fruit, vegetables and petrol are excluded
The correct answer is (c) Understate change in the cost of living because consumers substitute toward goods whose relative prices are declining.
consumers do substitute toward goods whose relative prices are declining. This means that they are able to maintain their standard of living even if the overall cost of living increases. Therefore, the CPI tends to understate changes in the cost of living because it does not fully account for consumer substitution.
The other options are not correct because:
a. The CPI does take into account quality changes by adjusting prices for changes in quality.
b. The CPI adjusts for changes in relative prices, so it does not overstate changes in the cost of living due to substitution effects.
d. The CPI includes services, but it may understate changes in the cost of living if the prices of services are increasing faster than the prices of goods.
e. The CPI includes a wide range of items, including volatile items such as fruit, vegetables, and petrol. However, the weights assigned to these items may change over time to reflect changes in consumer spending patterns.
The correct answer is (c) Understate change in the cost of living because consumers substitute toward goods whose relative prices are declining.
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the number x of bottles of garden plant fungicide sold by a garden center each day was recorded with the following results: x 0 1 2 3 4 5 6 7 p(x) .135 .141 .150 .143 .134 .122 .101 .074 the probability that at most three bottles will be sold on a randomly selected day is about:
The probability that at most three bottles will be sold on a randomly selected day is about is 0.569
What is probability?The probability of an event is a number that indicates how likely the event is to occur.
Given that, the number x of bottles of garden plant fungicide sold by a garden center each day was recorded, we need to find the probability that at most three bottles will be sold on a randomly selected day is about,
The possible values of x is 0, 1, 2, 3, 4, 5, 6 and 7
The probability that at most three bottles will be sold on the randomly selected day will be =
P(x≤3) = P(X=0) + P(X=1) + P(X=2) + P(X=3)
= 0.135 + 0.141 + 0.150 + 0.143
= 0.569
Hence, the probability that at most three bottles will be sold on a randomly selected day is about is 0.569
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A scale drawing of Julie's living room is shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 8 cm, and the width is labeled as width equal to 6 cm. If each 2 cm on the scale drawing equals 4 feet, what are the actual dimensions of the room?
Group of answer choices Length = 16 feet, width = 12 feet Length = 10 feet, width = 8 feet Length = 32 feet, width = 24 feet Length = 14 feet, width = 12 feet
Answer:
Length = 16 feet, width = 12 feet
Step-by-step explanation:
Scale is 2 cm = 4 feet
Therefore 1 cm = 4/2 = 2 feet
8 cm length = 8 x 2 = 16 feet
6 cm width = 6 x 2 = 12 feet
So the room size is Length = 16 feet, width = 12 feet
Answer: In the scale drawing, each 2 cm represents 4 feet. So, 1 cm represents 2 feet (since 2 cm is twice 1 cm). Therefore, the length of the room in feet is:
8 cm x (2 feet/1 cm) = 16 feet
Similarly, the width of the room in feet is:
6 cm x (2 feet/1 cm) = 12 feet
So, the actual dimensions of the room are length = 16 feet and width = 12 feet.
Answer: Length = 16 feet, width = 12 feet
Step-by-step explanation:
the number line is ______(to left or right) to show all of the _______ solutions that make the inequality______.
The required number line is typically drawn from left to right to show all of the possible solutions that make the inequality true.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The number line is typically drawn from left to right to show all of the possible solutions that make the inequality true.
The inequality may involve a variable x, and the number line would represent all possible values of x that satisfy the inequality. The solutions could be, for example, all values of x greater than 3, in which case the number line would start at 3 and extend to the right to represent all values of x greater than 3. Alternatively, the solutions could be all values of x less than or equal to -2, in which case the number line would start at -2 and extend to the left to represent all values of x less than or equal to -2.
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-x+5-7y-3y-5+3 combining like terms
-x - 10y +3 after grouping related terms and adding their respective coefficients.
what is coefficients ?A polynomial, a set, or the quadratic coefficient of a specific term in an equation are almost all examples of coefficients in algebra. Usually numeric, but any phrase is acceptable. If the correlates are variables, them can also be referred to as "specifications" by themselves. A coefficient is calculated multiplied by a component. Examples of ratios include: In the expression 14c 14c 14c, the coefficient is 14. Word g has to have a coefficient of 1, which doubles the element by this figure. example A coefficient is 6 becuase "z" is a variable and the definition of the word is 6z. The square that x's coefficient is one.
given
-x+5-7y-3y-5+3
We add the coefficients of like phrases after combing them.
-x - 7y -3y +3
= -x - 10y +3
-x - 10y +3 after grouping related terms and adding their respective coefficients.
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Find L. (PLEASE HURRY)
Answer:
Step-by-step explanation:
Use the Pythagorean theorem a^2 +b^2 =c^2
So 15^2 + 5^2 = c^2
sqrt c = sqrt 250
Janes age is 10 more than three times her son's age. In two years, her age will be 12 less than the square of her son's age. What is Jane's age now?
The age of Jane is 22 years.
How to find Jane's age?Janes age is 10 more than three times her son's age. In two years, her age will be 12 less than the square of her son's age. Therefore, let's find Jane's age as follows:
Hence, using equation,
let
son's age = x
Jane age = 3x + 10
In two years,
(x + 2)² - (3x + 10 + 2) = 12
(x + 2)(x + 2) - 3x - 12 = 12
x² + 2x + 2x + 4 - 3x - 24 = 0
x² + x - 20 = 0
x² - 4x + 5x - 20 = 0
x(x - 4) + 5(x - 4) = 0
(x + 5)(x - 4) = 0
Therefore,
x = -5 and x = 4
We can only use positive numbers.
Therefore,
Jane's age = 3x + 10
Jane's age = 3(4) + 10
Jane's age = 12 + 10
Jane's age = 22
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14.35x - 3.62 x= 3 4/5
Answer:
34/5
Step-by-step explanation:
Thuli invests R5000 for 3 years at 8% p.a simple interest.What is the total value of Thuli's investment after 3 years?Calculate the answer.
The total value of Thuli's investment after 3 years is R6200
What is the total value of Thuli's investment after 3 years?From the question, we have the following parameters that can be used in our computation:
principal, P = 5000
Rate = 8%
Time = 3 years
Using the above as a guide, we have the following:
Amount = P * (1 + RT)
Substitute the known values in the above equation, so, we have the following representation
Amount = 5000 * (1 + 8% * 3)
Evaluate
Amount = 6200
Hence, the amount is R6200
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A man claims to have extrasensory perception. As a test, a fair coin is flipped 29 times, and the man is asked to predict the outcome in advance. He gets 20 out of 29 correct. What is the probability that he would have done at least this well if he had no ESP?
A man claims to be capable of extrasensory perception. A fair coin is flipped 25 times as just a test, and the man is asked to predict the outcome ahead of time. He gets 17 of the 25 questions right.
What is the likelihood that he could have performed at least as well if he didn't have ESP?
Let X = the number of correct responses he receives without using ESP (25, 0.5)
p(X = 17) = 1 - p(X = 16)
With n = 25 and p = 0.5, p(X = 16) = 0.9461.
As a result, p(X = 17) = 1 - 0.9461 = 0.0539.
If you don't have Binomial tables, a normal approximation to the Binomial can be used.
X is roughly equal to N(np, npq) = N. (12.5, 6.25)
p(X = 17) = 1 - p(X < 16.5) with a continuity correction = 1 - p(Z (16.5 - 12.5) / v6.25) = 1 - F(1.6) = 1 - 0.9452 = 0.0548
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How to convert grams into moles?
Answer:
use a calculator online
Step-by-step explanation:
Calculating the Molecular Mass
Gather the necessary tools for solving a chemistry problem. Having everything you need easily accessible will simplify the process of solving the assigned problem. You will need the following:
A pencil and paper. Calculations are easier to solve when you write them out. Be sure to show all your steps to get full credit.
A periodic table. You will need to be able to find atomic weight of elements using the periodic table.
A calculator. Calculators are necessary to simplify calculations of complex numbers.
What are algebraic equations?
Answer:
An algebraic expression is a statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations.
Step-by-step explanation:
An example could include x^3 + 1, or something more complicated, like (y^4x^2 + 2xy – y)/(x – 1) = 12
Answer:
Step-by-step explanation:
These are equations which have an = sign and have a variable that needs to be found.
E.g x + 3 = 24
Answer these in true or false
Answer: True, False, False
Step-by-step explanation:
Answer:
8. true
9. false
10. false
Which expressions are equivalent to − � − 5 ( 2 � − 3 ) −f−5(2f−3)minus, f, minus, 5, left parenthesis, 2, f, minus, 3, right parenthesis ?
Answer: -15
Step-by-step explanation:
Write a nondirectional hypothesis using t score -. 493, df 14 and p of. 629
A nondirectional hypothesis using the t-score of -.493, degrees of freedom of 14, and a p-value of .629 could be:
"There is no significant difference between the two groups on the variable being measured."
This hypothesis is nondirectional because it does not specify which group would have a higher or lower score. The t-score and p-value indicate that the difference between the two groups is not statistically significant at the 95% confidence level.
"For the variable being measured, there is no significant difference between the two groups."
Because it does not state which group would have a greater or lower score, this hypothesis is nondirectional. The difference between the two groups is not statistically significant at the 95% confidence level, according to the t-score and p-value.
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How many inches are in 54 cm?
54 centimetres, rounded to two decimal places, is comparable to around 21.26 inches.
The Imperial and US Customary measuring systems both utilise the inch as their unit of measurement.
It is the unit of length.
Furthermore, length is measured in centimetres,
Used in the International System of Units,
This is the metric system's present configuration.
There are 21.26 inches in 54 cm (centimeters).
To convert centimeters to inches,
You can use the following conversion:
1 inch = 2.54 cm
Therefore,
To convert 54 cm to inches,
You can divide 54 by 2.54:
54 cm / 2.54 = 21.26 inches
So 54 cm is equivalent to approximately 21.26 inches,
Rounded to two decimal places.
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When Jayden left his house in the morning, his cell phone battery was partially charged. Let B represent the charge remaining in Jayden's battery, as a percentage, t hours since Jayden left his house. The table below has select values showing the linear relationship between t and B. Determine how many hours after leaving his house it would take until the phone's battery level got down to 31.5%. t B 1.5 38.25 6 18. 8. 9
It would take 11.25 hours after leaving his house until the phone's battery level got down to 31.5%.
According to given conditions :
To determine how many hours after leaving his house it would take until the phone's battery level got down to 31.5%, we need to use the information provided in the table to find the equation of the line that represents the relationship between B and t. We can then use this equation to solve for the value of t when B is 31.5%.
To find the equation of the line, we can use the two points (1.5, 38.25) and (9, 9). The slope of the line is:
slope = (B2 - B1) / (t2 - t1) = (9 - 38.25) / (9 - 1.5) = -29.25 / 7.5 = -3.9
The equation of the line in point-slope form is:
B - 38.25 = -3.9(t - 1.5)
Simplifying, we get:
B = -3.9t + 44.1
Now we can solve for the value of t when B is 31.5%. Setting B to 31.5% (or 0.315) and solving for t, we get:
0.315 = -3.9t + 44.1
-3.9t = -43.785
t = 11.25
Therefore, it would take 11.25 hours after leaving his house until the phone's battery level got down to 31.5%.
What is percentage ?
A percentage is a number or ratio expressed as a fraction of 100. The symbol used to represent percentages is "%". Percentages are used to compare values and express proportions. For example, if a group of 100 people includes 60 men and 40 women, we can say that the percentage of men in the group is 60%, and the percentage of women is 40%.
To calculate a percentage, we divide the value we want to express as a percentage by the total value, and then multiply by 100. For example, if we want to express 25 as a percentage of 100, we divide 25 by 100 to get 0.25, and then multiply by 100 to get 25%. Similarly, if we want to find what percentage of 200 is 50, we divide 50 by 200 to get 0.25, and then multiply by 100 to get 25%.
Percentages are used in many different fields, including finance, science, and statistics, as well as everyday life. For example, we might use percentages to calculate the amount of tax on a purchase, to compare the results of scientific experiments, or to track the progress of a fundraising campaign.
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what is 1 year in seconds?
1 year has 31,536,000 seconds.
1 year = 365days
1 day = 24 hours
1 hours = 3600 second
1 year = 365*24*3600 =31,536,000
A year is the orbit of a planetary body, such as Earth, moving in orbit around the Sun. Due to the tilt of the earth's axis, the seasons change at the turn of the year, characterized by changes in weather, daylight hours, and thus vegetation and soil fertility. In the temperate and subpolar regions of the planet, four seasons are generally known: spring, summer, autumn and winter. In tropical and subtropical regions, several geographic sectors do not have defined seasons. but in the seasonal tropics, an annual wet and dry season is identified and observed.
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Rosanne has 142 songs on her MP3 player.teresa has 7 times as many songs as Rosanne .How many song does teresa have
Answer:
Teresa has 994 songs on her MP3 player.
Step-by-step explanation:
We know that Rosanne has 142 songs on her MP3 player, and that Teresa has 7 times more songs than Rosanne does. Therefore, we can conclude that the number of songs that Teresa has 142 × 7 = 994 songs on her MP3 player.
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