The sample mean of snowfalls in the 18 midwestern cities of the United States is 24. This is calculated by applying the formula of arithmetic mean or average to the given sample of data.
What is arithmetic mean?
An arithmetic mean is examined as very similar to an average. Mathematically, it is obtained by dividing the sum of all objects by the total number of objects.
Calculation of the sample mean for given data
Given the total number of cities = 18
The total amount of snow falls = 20 + 40 + 31 + 7 + 15 + 29 + 25 + 20 + 17 + 32 + 28 + 12 + 34 + 29 + 20 + 17 + 33 + 23
The sample mean = total amount of snowfalls / total number of cities
= 432 / 18
= 24
Hence, the sample mean of the given data is 24.
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find range of f(x)=4/3x^2-3x
Answer:
y>= -27/16
Step-by-step explanation:
I just put in the calculator
a bag of jelly beans contains 4/5 of a pound. if each serving contains 1/10 of a pound, how many servings of jelly beans are available
Answer:
8 jelly beans
Step-by-step explanation:
4/5 / 1/10= 8
Answer:
8 servings
Step-by-step explanation:
4/5 x 2 = 8/10 servings
1. Three-point geometry: Interpret point to mean one of the three symbols \( A, B, C \); interpret line to mean a set of two points; and interpret lie on (or passing through) to mean "is an element of
In the three-point geometry, points are represented by the symbols A, B, and C. A line is defined as a set of two points, and the phrase "lie on" or "passing through" is interpreted as meaning that a point is an element of that line.
In this geometry, we can represent lines using the notation AB, AC, or BC, depending on which two points define the line. For example, the line AB represents the set of points that have either A or B as their elements. Similarly, the line AC represents the set of points that have either A or C as their elements.
If we say that a point X lies on the line AB, it means that X is an element of the line AB, or in other words, X can be either A or B. Similarly, if we say that a point Y lies on the line AC, it means that Y is an element of the line AC, or Y can be either A or C.
Using this interpretation of points, lines, and "lie on," we can describe various geometric relationships and properties in the three-point geometry. By understanding how the symbols A, B, and C relate to each other and how they form lines, we can analyze the connections and configurations within this geometric system.
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if cospheta =3/5 and pheta is located in the fourth quadrant, then sin2pheta=_____
-8/25
24/5
-24/25
8/25
Step-by-step explanation:
if cospheta =3/5 and pheta is located in the fourth quadrant, then sin2pheta=_____
-8/25
24/5
-24/25
8/25
The correct answer for this question is 8/25
match the type of attention with its impact on the encoding process.
Type of Attention Impact on Encoding Process
1. Sustained attention Facilitates thorough encoding of information.
2. Selective attention Enhances encoding of attended stimuli while filtering out irrelevant information.
3. Divided attention Impairs encoding by dividing attentional resources among multiple tasks.
4. Exogenous attention Captures attention involuntarily, potentially interrupting the encoding process.
5. Endogenous attention Voluntarily directed attention that can prioritize specific information for encoding.
1. Sustained attention: Sustained attention refers to the ability to maintain focus over an extended period. It has a positive impact on the encoding process as it allows for thorough and comprehensive encoding of information.
2. Selective attention: Selective attention involves focusing on specific stimuli while filtering out irrelevant information. It enhances the encoding process by directing attention to the relevant stimuli, promoting their effective encoding.
3. Divided attention: Divided attention refers to the attempt to allocate attention to multiple tasks simultaneously. Dividing attention among multiple tasks impairs the encoding process as attentional resources become fragmented, leading to less effective encoding of information.
4. Exogenous attention: Exogenous attention is captured involuntarily by external stimuli, potentially interrupting the encoding process. It can divert attention away from the intended encoding task, resulting in a negative impact on encoding.
5. Endogenous attention: Endogenous attention is voluntarily directed attention that allows individuals to prioritize specific information for encoding. It enhances the encoding process by selectively focusing on relevant stimuli and allocating cognitive resources accordingly.
Different types of attention have varying impacts on the encoding process. Sustained attention and selective attention positively influence encoding, while divided attention and exogenous attention have negative effects. Endogenous attention, on the other hand, can enhance encoding by prioritizing specific information.
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Three and seven tenths times five
Answer:
6.5
Step-by-step explanation:
3 + (and) 7/10 x 5 = 6.5
Hope this helps!
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Find the area of the composite figure.
Round to the nearest hundreth.
Area of triangle= ___
Area of rectangle A= ___
Area of rectangle B= ___
Total area of composite= ___
Answer:
1. 31.25
2. 50
3. 48.75
4. 130
Step-by-step explanation:
The cost of a pen is 3 times the cost of a pencil. The total cost of 8 pencils and 5 pens is $11.50.
Please help me to find the costs of a pen and a pencil.
Answer:
$5.78
Step-by-step explanation:
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The circumference of a circle is 22pi cm. What is the area, in square centimeters?
Answer:
Area = 121pi sq cm
Step-by-step explanation:
Circumference is the distance around the circle. The formula for circumference is:
C = pi•d
The question has the info in it that the circumference is 22pi.
C = 22pi
remember,
C = pi•d this means that the circle has a diameter (the d in the formula is diameter) 22cm.
The radius is half the diameter. The diameter is 22cm, so the radius is 11cm.
The formula for the area is:
Area = pi•r^2
= pi•11^2
= pi•121
= 121pi
The area is 121pi sq cm.
the ph measurements of water specimens from various locations along a given river basin are normally distributed with mean 8 and standard deviation 0.3. what is the approximate probability that the ph measurement of a randomly selected water specimen is greater than 8.2?
The probability that ph measurement of a randomly selected water is greater than 8.2 is 0.25239.
What is probability?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.
What is standard deviation?
Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.
Given,
mean = 8
standard deviation = 0.3
To find P(X<8.2)
P(X<8.2) =P(\(\frac{X-mean}{standard devaition}\)> \(\frac{8.2-8}{0.3}\))
= P (Z> 0.667)
=0.25239.
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What are the subtypes of quantitative data (techniques)?
There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.
1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
a. Frequency distribution: A summary of the number of times each value appears in the dataset.
b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.
c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.
2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:
a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.
b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.
c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.
Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.
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anyone know how to do this?
if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
if leg b is unknown, then. b = √(c² - a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)
use a right triangle calculator :)
or those math apps on yo phone (photomath )
Please help! Brainliest answer! Thank You!!
Answer:
True statement: B) m∠STP=90°
Solve the following system of equations. -5x - 4y= -11 7x + 3y = 18
Step-by-step explanation:
-5x - 4y= -117x + 3y = 18
-5x +117x = 3y + 4y = 18
112x = 7y = 18
solve the equation.
1/2x^2=32
Answer:
x = ± 8
Step-by-step explanation:
\(\dfrac{1}{2}x^{2}=32\)
Multiply the equation by 2
x² = 32*2
x² = 64 = 8²
x = 8
a bookmark has a perimeter of 24 centimeters and an area of 32 square centimeters. what are the dimensions of the bookmark?
To find the dimensions of the bookmark, we need to use the given information about its perimeter and area. The dimensions of the bookmark are 4 centimeters by 8 centimeters.
Let's start by using the formula for the perimeter of a rectangle, which is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
We know that the perimeter of the bookmark is 24 centimeters, so we can write:
24 = 2(l + w)
Simplifying this equation, we get:
12 = l + w
Now, let's use the formula for the area of a rectangle, which is A = lw, where A is the area, l is the length, and w is the width.
We know that the area of the bookmark is 32 square centimeters, so we can write:
32 = lw
Next, we can use the fact that l + w = 12 to solve for one of the variables in terms of the other. For example, we can solve for l:
l = 12 - w
Substituting this into the equation for the area, we get:
32 = (12 - w)w
Expanding this equation, we get:
32 = 12w - w^2
Rearranging and simplifying, we get a quadratic equation:
w^2 - 12w + 32 = 0
We can solve this equation using the quadratic formula:
w = (12 ± √(12^2 - 4(1)(32))) / (2(1))
Simplifying, we get:
w = 4 or w = 8
If w = 4, then l = 8 (since l + w = 12). If w = 8, then l = 4.
Therefore, the dimensions of the bookmark are either 8 centimeters by 4 centimeters, or 4 centimeters by 8 centimeters.
To find the dimensions of the bookmark with a perimeter of 24 centimeters and an area of 32 square centimeters, follow these steps:
1. Let the length be "L" centimeters and the width be "W" centimeters.
2. The formula for perimeter is P = 2L + 2W. Since the perimeter is 24 centimeters, we have the equation: 24 = 2L + 2W.
3. The formula for area is A = LW. Since the area is 32 square centimeters, we have the equation: 32 = LW.
4. To solve for one of the variables, we can simplify the perimeter equation: 12 = L + W.
5. Next, we can solve for one of the variables in terms of the other. Let's solve for W: W = 12 - L.
6. Now, substitute W in the area equation: 32 = L(12 - L).
7. Expand the equation: 32 = 12L - L^2.
8. Rearrange to form a quadratic equation: L^2 - 12L + 32 = 0.
9. Factor the equation: (L - 4)(L - 8) = 0.
10. Solve for L: L = 4 or L = 8.
11. Use the value of L to find W: If L = 4, W = 12 - 4 = 8; If L = 8, W = 12 - 8 = 4.
The dimensions of the bookmark are 4 centimeters by 8 centimeters.
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Write an equation of the line below
Answer:
I don't see the equation so when you put it I can answer
but I will help when you put the equation
Step-by-step explanation:
A given rms value of a sine wave is equal to the same value of DC voltage with respect to the heat produced in a resistor (True/False)?
Answer:
False.
Step-by-step explanation:
The RMS (Root Mean Square) value of a sine wave represents the equivalent DC voltage that would produce the same amount of power in a resistive load. However, the heat produced in a resistor is directly proportional to the square of the current passing through it (according to Joule's Law). In the case of an AC waveform, the current continuously changes direction, resulting in a time-varying power dissipation. Therefore, comparing the RMS value of an AC waveform to a DC voltage is not directly applicable in terms of heat produced in a resistor.
If 20% of a number is 16, what is the number?
Answer:
80
Step-by-step explanation:
20% of a number is 16 so we can set up the equation like this
0.2n = 16
you then divide each side by 0.2
and you get 80
Answer: 80
Step-by-step explanation:
\(Rate = \frac{Percent}{Base} = \frac{16}{20} = \frac{4}{5} = 0.8 *100=80\)
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375 x228 step by step How to solve
simplify 3.4n+9.6-2.1n
Answer:
1.3n + 9.6
Step-by-step explanation:
3.4n-2.1n is 1.3n and we have the left over +9.6 .
.Which of the following cases would most likely result in a team member engaging in social loafing?
A. When the group is excessively large
B. When individual contributions to a group are identifiable
C. When valuable contributions of individual members are emphasized
D. When rewards are linked to individual performance
E. When the group size is at an appropriate level
When the group is excessively large is the case that would most likely result in a team member engaging in social loafing. Social loafing is a phenomenon where individuals in a group tend to reduce their effort and contribution when working collectively. This happens when individuals feel that their contribution is not identifiable, and the group is too large for them to feel accountable for their actions. Therefore, in larger groups, individuals may feel less responsible for the overall outcome, leading to decreased motivation and effort.
Your answer: A. When the group is excessively large.
In this case, a team member is more likely to engage in social loafing because their individual contributions may not be easily identifiable, making it easier for them to "hide" within the group without actively participating. In contrast, options B, C, D, and E emphasize individual contributions, rewards, and optimal group size, which would discourage loafing and promote engaging behavior.
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Un móvil sale con una rapidez de 5m/s y alcanza una rapidez de 40m/s en 10s. Determine la distancia recorrida.
Answer:
d = 225 m
Step-by-step explanation:
Initial speed, u = 5 m/s
Final speed, v = 40 m/s
Time, t = 10 s
Acceleration,
\(a=\dfrac{v-u}{t}\\\\a=\dfrac{40-5}{10}\\\\a=3.5\ m/s^2\)
Let d is the distance covered. Using second equation of motion to find it i.e.
\(d=ut+\dfrac{1}{2}at^2\\\\d=5\times 10+\dfrac{1}{2}\times 3.5\times 10^2\\\\d=225\ m\)
So, it will cover 225 m.
100 POINTS!!!! Simplify. n6 • n5 • n4 ÷ n3 • n2 ÷ n
ITS NOT n^9
Answer: Must be n13 the 13 would be like smaller but i dont know how to do that
Step-by-step explanation:
Answer:
n^13
Step-by-step explanation:
i dont know if this is right? is n6 = n to the square root of 6
5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)
Here is ur answer
- BRAINLIEST answerer
5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)know i need points
Step-by-step explanation:
hi
AABC is rotated 90° clockwise about the origin.
-48
-16
-14
12
10
4
N
C(6. 12)
B(18,6)
A(12, 0)
24 6 8 10 12 14 16 18
What are the coordinates of B'?
A. (-18,6)
B. (-6, 18)
C. (6, 18)
D. (6, -18)
what is the equivalent expression of (2x+3)(4x^2-x-5)
Answer:
8x^(3)+10x^(2)-13x-15
Step-by-step explanation:
Determine whether each sequence is arithmetic or geometric then find the Common Difference or Common Ratio
24, 21, 18, 15....
O Geometric: Common Difference is 3
O Geometric: Common Ratio is -3
O Arithmetic: Common Difference is -3
O Arithmetic: Common Ratio is 3
Therefore, the common difference of the arithmetic sequence is -3.
An arithmetic sequence is a sequence of numbers where each term is obtained by adding or subtracting a fixed value, called the common difference, to the previous term. In this case, the sequence is 24, 21, 18, 15, and so on.
To determine the common difference, we can observe that each term is obtained by subtracting 3 from the previous term. For example, we have:
21 = 24 - 3
18 = 21 - 3
15 = 18 - 3
This pattern continues for all the terms in the sequence. Therefore, the common difference in this arithmetic sequence is -3, which means that we subtract 3 from each term to get the next term in the sequence.
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What is the value of the product (3 - 2i)(3 + 2i)
Answer:
13
Step-by-step explanation:
(3 - 2i)(3 + 2i)
FOIL
first 3*3 = 9
outer 3*2i = 6i
inner -2i*3 = -6i
last -2i * 2i = -4i^2 = -4(-1) =4
Add together
9+6i-6i+4 = 13
A shopkeeper paid £24 for 16 boxes of washing powder. He sells them for £2.97 a box or 2 for £5. How much profit will he make if someone buys 3 boxes?
The shopkeeper will make a profit of £3.47 if someone buys 3 boxes of washing powder.
To calculate the profit made by the shopkeeper when someone buys 3 boxes of washing powder, we need to determine the selling price and subtract the cost price.
The shopkeeper purchased 16 boxes of washing powder for £24.
So, the cost price of each box is £24 divided by 16, which equals £1.50 per box.
The shopkeeper sells each box for £2.97, but there is also a special offer of 2 boxes for £5.
So, if someone buys 3 boxes, they would pay for 2 boxes at the special offer price and an additional box at the regular price.
Let's break down the cost for 3 boxes:
2 boxes at the special offer price: £5
1 box at the regular price: £2.97
The total selling price for 3 boxes would be £5 + £2.97 = £7.97.
To calculate the profit, we subtract the cost price from the selling price:
Profit = Selling Price - Cost Price
Profit = £7.97 - (3 \(\times\) £1.50)
Profit = £7.97 - £4.50
Profit = £3.47.
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