The mean of a normally distributed group of weekly incomes of a large group of executives is $1,000 and the standard deviation is $100. Therefore, the z-score for an income of $1,200 is 2.
The z-score is a measure of how many standard deviations a particular value is away from the mean in a normal distribution.
To calculate the z-score, we use the formula:
z = (x - μ) / σ
where: - z is the z-score - x is the value we want to calculate the z-score for - μ is the mean of the distribution - σ is the standard deviation of the distribution In this case, we are given:
- μ = $1,000 (mean) - σ = $100 (standard deviation) - x = $1,200 (value for which we want to calculate the z-score)
Using the formula, we can calculate the z-score as follows: z = (1,200 - 1,000) / 100 z = 200 / 100 z = 2
Therefore, the z-score for an income of $1,200 is 2.
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The table shows the amount of snow, in cm, that fell each day for 30 days. Amount of snow (s cm) Frequency 0 s < 10 8 10 s < 20 10 20 s < 30 7 30 s < 40 2 40 s < 50 3 Work out an estimate for the mean amount of snow per day
The mean amount of snow per day is equal to 19 cm snow per day.
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
For the total amount of snow based on the frequency, we have;
Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)
Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135
Total amount of snow (s cm), F(x) = 570
Now, we can calculate the mean amount of snow as follows;
Mean = 570/30
Mean = 19 cm snow per day.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Ill mark brainliest, question is attached
Answer:
-15u^2
Step-by-step explanation:
Per Capita Birth and Death Rates In growth models, scientists use proportional metrics when evaluating births (Bt) or deaths (Dt) in relation to population size (N+) at time t. This relationship results in per capita birth rates (bt) and per capita death rates (dt). To calculate, divide the absolute number of births or deaths, respectively, by the population size at time t. Population is often taken at the time interval midpoint.
Per capita birth rate (bt): probability of offspring number for an individual at time bt = Bt/Nt
Per capita death rate (dt): probability of individual's of death at time dt = Dt/Nt
Using the above equations, provide me with the formula for calculating Bt and Dt if you are given only per capita rates (bt or dt) and population size (Nt) at time t. (Hint: Use algebra!)
We have the formulas for Bt and Dt using only the per capita rates (bt or dt) and population size (Nt) at time t:
Bt = bt * Nt, Dt = dt * Nt. These formulas allow calculate absolute number of births (Bt) and deaths (Dt) using the given per capita rates and population size.
To find the formulas for Bt and Dt using the given per capita rates (bt or dt) and population size (Nt) at time t, we can rearrange the provided equations for per capita birth rate (bt) and per capita death rate (dt). Here are the steps:
The per capita birth rate (bt) is given by the equation bt = Bt/Nt. To find Bt, we need to isolate it by multiplying both sides of the equation by Nt. This gives us:
Bt = bt * Nt
Similarly, the per capita death rate (dt) is given by the equation dt = Dt/Nt. To find Dt, we need to isolate it by multiplying both sides of the equation by Nt. This gives us:
Dt = dt * Nt
Now, we have the formulas for Bt and Dt using only the per capita rates (bt or dt) and population size (Nt) at time t:
- Bt = bt * Nt
- Dt = dt * Nt
These formulas allow you to calculate the absolute number of births (Bt) and deaths (Dt) using the given per capita rates and population size at a specific time.
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Rose bought some spinach she used 3/5 of the spinach on a pan of spinach pie for a party and 3/4 of the remaining spinach for a pan for her family she used the rest to make a salad. If rose used 3 pounds of spinach to make the pan of spinach pie for the party how many pounds of spinach did rose use to make the saled
Answer:
Total pounds of spinach = 5 pounds
Pounds used for salad = 0.5 pounds
Step-by-step explanation:
Let
Total spinach = x
She used pan of spinach pie for a party = 3/5x
Remaining spinach = x - 3/5x
= 5x-3x/5
= 2/5x
She used 3/4 of the remaining spinach for a pan for her family
3/4 of 2/5x
= 3/4 × 2/5x
= 6/20x
= 3/10x
she used the rest to make a salad.
Salad = x - (3/5)x - (3/10)x
= (1 - 3/5 - 3/10)x
= (10-6-3/10)x
= 1/10x
If rose used 3 pounds of spinach to make the pan of spinach pie for the party how many pounds of spinach did rose use to make the saled
She used pan of spinach pie for a party = 3/5x
3/5x = 3 pounds
Divide both sides by 3/5
x = 3 ÷ 3/5
= 3 × 5/3
x = 5 pounds
Salad = 1/10x
= 1/10 * 5
= 5/10
= 0.5 pounds
use any test to determine whether the series is absolutely convergent, conditionally convergent, or divergent. [infinity] (−1)n ln(8n) n = 2 absolutely convergent conditionally convergent divergent
The series [infinity] (−1)^n ln(8n) where n starts from 2 is conditionally convergent.
To determine whether the series is absolutely convergent, conditionally convergent, or divergent, we can apply the alternating series test and examine the absolute convergence.
The series \((-1)^n ln(8n)\) alternates in sign as \((-1)^n\) and the absolute value of the terms ln(8n) decreases as n increases. However, to apply the alternating series test, we need to check if the limit of the absolute value of the terms approaches zero.
Taking the limit as n approaches infinity of |ln(8n)|, we find that it approaches infinity. Therefore, the series is not absolutely convergent.
Since the series is not absolutely convergent but still satisfies the alternating series test, we conclude that it is conditionally convergent.
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what is the difference between descriptive statistics and inferential statistics?
A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.
Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.
The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.
The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.
Hence we get the required answer.
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let a 5 {a, b}, b 5 {1, 2}, and c 5 {2, 3}. find each of the following sets.
To find the Cartesian products of three sets: A = {a, b}, B = {1, 2}, and C = {2, 3}, you need to form all possible ordered pairs from the given sets.
1. A x B: This is the set of all ordered pairs with the first element from set A and the second element from set B.
A x B = {(a, 1), (a, 2), (b, 1), (b, 2)}
2. A x C: This is the set of all ordered pairs with the first element from set A and the second element from set C.
A x C = {(a, 2), (a, 3), (b, 2), (b, 3)}
3. B x C: This is the set of all ordered pairs with the first element from set B and the second element from set C.
B x C = {(1, 2), (1, 3), (2, 2), (2, 3)}
These are the Cartesian products of the sets A, B, and C.
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25. 0 grams of sodium chloride (NaCl) is dissolved in 100 grams of solution. What is the concentration of the solution in parts per million (ppm)?
The concentration of the sodium chloride solution is 250,000 parts per million (ppm).
To calculate the concentration of the solution in parts per million (ppm), we need to determine the amount of solute (sodium chloride) present in relation to the total solution.
The concentration of a solution is typically expressed as the ratio of the mass of solute to the mass of the solution or the volume of solute to the volume of the solution. In this case, we have 0 grams of sodium chloride dissolved in 100 grams of solution.
To convert this into parts per million (ppm), we need to multiply the concentration by 1,000,000. Since ppm represents one part in a million, it is equivalent to mg/L or µg/g.
Using the given values, we have:
Concentration (ppm) = (mass of solute / mass of solution) * 1,000,000
Substituting the values, we get:
Concentration (ppm) = (0 grams / 100 grams) * 1,000,000
Concentration (ppm) = 0 * 1,000,000
Concentration (ppm) = 0
Therefore, the concentration of the solution is 0 parts per million (ppm), indicating that there is no sodium chloride present in the solution.
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The value of y varies directly with x.
When y = 3 , x =1 .
What is the value of y when x is 4 ?
Question 2 options:
12
4 1/3
8
3/4
Answer:
its 12
Step-by-step explanation:
The value of y varies directly with x.
When y=3, x=1 .
What is the value of y when x is 4 ?
so it well be 12
Any help? its the Pythagorean Theorem
Answer:
x = \(\sqrt{13}\) or 3.61 to 3 significant figures
Step-by-step explanation:
First find CD which is \(\sqrt{5^{2}-3^{2} }\) = 4
6 - 4 = 2 which is FC
so do \(\sqrt{2^{2}+3^{2} }\) = \(\sqrt{13}\) or 3.61 to 3 significant figures
Assume a car uses gas at a constant rate. After driving 10 miles since a full tank was purchased, there were 18 gallons of gas left; after driving 60 miles since the full tank was purchased, there were 8 gallons of gas left. Use a function to model the amount of gas in the tank (in gallons) Let the input be the number of miles driven since a full tank of gas was purchased. Find the function domain and range in that context.
in this context, the domain of the function is [0, ∞) and the range is [0, ∞).
To model the amount of gas in the tank based on the number of miles driven, let's assume that the rate at which the car consumes gas is constant. We can use a linear function to represent this relationship.
Let x represent the number of miles driven since a full tank of gas was purchased, and let y represent the amount of gas left in the tank (in gallons).
We can use the given information to form two data points:
(10, 18) - After driving 10 miles, there were 18 gallons of gas left.
(60, 8) - After driving 60 miles, there were 8 gallons of gas left.
Using these two points, we can find the equation of the line that represents the relationship between miles driven and the amount of gas left.
First, let's find the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
m = (8 - 18) / (60 - 10)
m = -10 / 50
m = -0.2
Now, let's find the y-intercept (b) using the formula:
b = y - mx
Using the point (10, 18):
18 = (-0.2)(10) + b
18 = -2 + b
b = 20
Therefore, the equation of the line representing the amount of gas left in the tank is:
y = -0.2x + 20
Now let's determine the domain and range in this context:
Domain: The domain represents the possible values for the number of miles driven since a full tank of gas was purchased. In this case, it can be any non-negative real number. So the domain is [0, ∞), indicating that the car can be driven any number of miles.
Range: The range represents the possible values for the amount of gas left in the tank. Since the amount of gas cannot be negative, the range is [0, ∞), indicating that the amount of gas left can be any non-negative value.
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six people ride a bus to get to work. The table shows their travel times and distance. make a graph to represent the situation
The graph that represents the situation is attached .
What is a graph? What is equation modelling? What is a mathematical equation and expression? In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have six people ride a bus to get to work. The table shows their travel times and distance.
travel time distance
0.5 4
1.5 12
2.0 16
2.5 20
3.0 26
3.5 32
The travel time is plotted along the [x] - axis and distance is along the [y] - axis. The graph is attached.
Therefore, the graph that represents the situation is attached .
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In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.
Answer:
10
Step-by-step explanation:
The measure of an angle∠I is 10 degrees between the 450 cm and 640 cm sides.
What is the Cosine Rule?The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
c² = a² + b² − 2ab cos(C)
The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.
In the given triangle ΔHIJ,
Sides:
h = 450 m
i = 210 m
j = 640 m
The angle of ∠I is 10 degrees between the 450 cm and 640 cm sides.
According to the cosine rule,
j² = h² + i² − 2ab cos(I)
Substitute the values in the Cosine Rule,
450² = 210² + 640² - 2(210)(640)cos(I)
After solving we get the value of angle ∠I :
∠I = 9.56038°
Rounded to the nearest degree.
∠I = 10°
Thus, the measure of an angle∠I is 10 degrees.
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Pls help I’m stuck on it
Answer:
Step-by-step explanation:
its a
Answer:
I believe it C
What is the vertex of y = x2 + 4x – 7?
O(-4,-7)
O (2, 5)
0 (-2, -19)
0 (-2, -11)
i will give brainliest please help
Please help. Point M is the mid-point of PQ. The coordinates of P and M are given below. M (5, -2) and P (11, -10) Based on the information given, what is the coordinates of Q?
Answer:
Q(-1 , 6)
Step-by-step explanation:
Midpoint M(5 , -2)
\(Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\P(11 , -10) \ ; x_{1} = 11 \ & \ y_{1}=-10\\\\\left(\dfrac{11+x_{2}}{2},\dfrac{-10+y_{2}}{2}\right)= \left( 5 , -2 \right )\\\\\dfrac{11+x_{2}}{2}=5 \ ; \dfrac{-10+y_{2}}{2}=-2\)
11 + x₂ = 10 ; -10 + y₂ = -4
x₂ = 10 - 11 ; y₂ = - 4 + 10
x₂ = -1 ; y₂ = 6
Q(-1 , 6)
the coordinates of point Q is (-1,6)
3. Encontrar la medida de cada angulo en grados.
a. Tres cuartos de rotación en sentido contrario a las manecillas del reloj
b. Cinco sextos de rotación en sentido contrario a las manecillas del reloj
c. Diez octavos de rotación en el sentido de las manecillas del reloj
D. Un quinto de rotación en el sentido de las manecillas del reloj
Answer:
En español:
A. Rotación de tres cuartos en sentido antihorario.
3/4 = 270 grados
B. Cinco sextos de rotación en sentido antihorario.
5/6 = 300 grados
C. Diez octavos de rotación en el sentido de las agujas del reloj.
10/8 = 450 grados
D. Un quinto de rotación en el sentido de las agujas del reloj
1/5 = 72 grados
In English:
a. Three-quarter rotation counterclockwise.
3/4 = 270 degrees
b. Five sixths of rotation counterclockwise.
5/6 = 300 degrees
c. Ten-eighths of a clockwise rotation.
10/8 = 450 degrees
d. One-fifth clockwise rotation
1/5 = 72 degrees
5-3(5x + 2) = 4(7 - 3x) + 1
Answer:
x = -10
Step-by-step explanation:
open the brackets
5-3(5x)-3(2) = 4(7)-4(3x)+1
5-15x-6 = 28-12x+1
-15x+12x = 29+1
3x = 30
x= -10
what is 7/4 - (-1/4)
Answer:
2
Step-by-step explanation:
7/4 - (-1/4)
Subtracting a negative is adding
7/4 + 1/4
8/4
Simplifying
2
Protractor postulate: given any angle, we can express its measure as a unique ______________ number from 0 to 180 degrees.
Protractor postulate: given any angle, we can express its measure as a unique real number from 0 to 180 degrees.
The protractor postulate is a fundamental concept in geometry that establishes a way to measure angles using a protractor. According to this postulate, every angle can be uniquely represented by a real number between 0 and 180 degrees.
A protractor is a geometric tool with a semicircular shape and marked degrees along its edge. To measure an angle using a protractor, we align the center of the protractor with the vertex of the angle and the baseline of the protractor with one side of the angle. We then read the degree measure where the other side of the angle intersects the protractor.
The protractor is divided into 180 degrees, with 0 degrees being the starting point at the baseline of the protractor, and 180 degrees being at the opposite end of the baseline. By aligning the protractor with an angle, we can determine its measure as a real number within this range.
For example, if we measure an angle using a protractor and find that the other side intersects the protractor at 45 degrees, we can express the measure of the angle as 45 degrees. Similarly, if the intersection point is at 90 degrees, the angle measure would be 90 degrees. The protractor postulate guarantees that these angle measures are unique within the range of 0 to 180 degrees.
It is important to note that the protractor postulate assumes that angles can be measured using a protractor and that the measurement is accurate and reliable. The postulate provides a consistent and standardized way to assign a numerical value to an angle, allowing for precise communication and comparison of angles in geometric contexts.
In summary, the protractor postulate establishes that the measure of any angle can be expressed as a unique real number between 0 and 180 degrees. This concept is fundamental in geometry and allows for the measurement, comparison, and communication of angles using a protractor.
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James has saved $560 in two years. He saved 3 times
as much during the first year as during the second
year. How much did he save each year?
Answer:
Year 1:42 Year 2:14
Step-by-step explanation:
Divide $560 x 4=14 then multiply by three to get the amount for year one and the and what's leftover($14) is year 2.
Simply this fully. Please quick
Answer:
\(\frac{x^{2} -2x}{15}\)
Step-by-step explanation:
\(\frac{2x-4}{5} \times \frac{x}{6}\)
Multiply numerators and denominators
\(\frac{x(2x-4)}{5 \times 6}\)
Taking two common from numerator
\(\frac{x(x-2)}{5 \times 3}\)
Simplifying it further
\(\frac{x^{2} -2x}{15}\)
what function lets you test if something is true or false and then do different things depending on which result you get?
The function that lets you test if something is true or false and then do different things depending on which result you get is called an "if statement".
In programming, an if statement is a conditional statement that allows you to execute certain code if a specified condition is true, and a different set of code if the condition is false. The syntax for an if statement typically involves the use of a comparison operator (such as "==" for equality or ">" for greater than) to compare a variable or expression to a specific value or set of values. If the comparison evaluates to true, the code inside the if statement is executed. If the comparison evaluates to false, the code inside the if statement is skipped and the program moves on to the next line of code. If statements can also be combined with other statements, such as else statements or nested if statements, to create more complex logic in a program.
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Choose the equation of the line passed through (-9,1) and is perpendicular to a line that has a slope of 3/2
Answer:
A
Step-by-step explanation:
I think its A if its the muli question I just answered
sorry if I'm wrong!
have a nice day!
How to show that f(x)=8x-2x² ?
Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log4 45
Answer:
Common logarithm
\(log_451= \frac{log_1_045}{log_1_08}\)
Natural logarithms
\(log_445= \frac{log_e45}{log_e4}\)
or
\(log_445= \frac{In45}{In4}\)
Step-by-step explanation:
From the question we are told that
\(Log_445\)
Generally converting log from base x to base 10 si mathematically represented as
\(log_xa=log_1_0a *log_x10\)
\(log_xa= \frac{log_1_0a}{log_1_0x}\)
Therefore
Common logarithm
\(log_451= \frac{log_1_045}{log_1_08}\)
Generally Natural logarithms \(log_ex\ or\ inx\) is mathematically represented as
\(log_xa= \frac{log_ea}{log_ex}\)
Therefore
Natural logarithms
\(log_445= \frac{log_e45}{log_e4}\)
or
\(log_445= \frac{In45}{In4}\)
50 points!!!
ok, so i was just browsing for questions to answer...and im just wondering..why are all these creeps and 12 yr olds looking for love on brainly?? like im honestly wondering
To implement effective moderation policies, provide clear guidelines, and educate users about appropriate online behavior. Individuals should exercise caution when interacting online and report any concerning behavior to the platform administrators.
It's understandable to feel surprised or concerned when encountering inappropriate or unexpected behavior on online platforms. While I cannot directly address the specific behavior you mentioned on Brainly or other platforms, I can offer some insights into why such situations might occur.
1. Anonymity: The anonymity provided by online platforms can embolden individuals to engage in inappropriate or immature behavior that they might not exhibit in face-to-face interactions. This anonymity can attract people who seek attention or want to explore subjects they may not feel comfortable discussing openly.
2. Lack of monitoring: Online platforms vary in terms of their moderation and monitoring practices. Some platforms may have limited measures in place to prevent or address inappropriate behavior. This can create an environment where certain individuals feel more inclined to engage in inappropriate activities or seek attention in ways that are not conducive to the platform's intended purpose.
3. Misinterpretation: In some cases, individuals may not fully understand the intended purpose of the platform they are using. They might mistakenly perceive it as a place to seek romantic relationships or engage in inappropriate conversations, especially if they are not properly guided or supervised by responsible adults.
4. Age verification challenges: Online platforms face challenges in verifying the ages of their users, particularly in cases where individuals misrepresent their age. This can lead to situations where younger individuals may encounter content or interactions that are not suitable for their age group.
It is important for online platforms to implement effective moderation policies, provide clear guidelines, and educate users about appropriate online behavior. Additionally, individuals should exercise caution when interacting online and report any concerning behavior to the platform administrators.
Remember, it is crucial to prioritize online safety and maintain a respectful and responsible digital presence.
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Suppose the probability that a household owns a pet is 0.45. (We can assume one house owning a pet is independent of the others.) What is the probability that there will be no pets in a randomly selected house
To find the probability of no pets in a randomly selected house, we can subtract the probability of having a pet from 1.
The probability that a household owns a pet is given as 0.45.
1. The probability of a household owning a pet is given as 0.45.
2. Since one house owning a pet is independent of others, the probability of not owning a pet is 1 minus the probability of owning a pet.
3. Therefore, the probability of no pets in a randomly selected house is 1 - 0.45.
4. This simplifies to 0.55.
Since one house owning a pet is independent of others, the probability of not owning a pet is 1 minus the probability of owning a pet. Therefore, the probability of no pets in a randomly selected house is 1 - 0.45. This simplifies to 0.55. In other words, there is a 55% chance that a randomly selected house will not have any pets.
This means that out of every 100 randomly selected houses, we can expect around 55 of them to have no pets. It is important to note that this probability assumes that the data provided accurately reflects the true probability of households owning pets, and that the assumption of independence holds true.
The probability of no pets in a randomly selected house is 0.55, which means there is a 55% chance of selecting a house with no pets.
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Find the number that makes the ratio equivalent to 4:1.
40:
Answer:
Below
Step-by-step explanation:
You multiplied the '4' by 10 to get 40 .....multiply the '1' by 10 the get the second number = 10 this will keep the ratio correct
what are the coordinate point (-1,4) after a dilation with a scale factor of k=3
Answer: eeeeeeeeeeeeeee
Step-by-step explanation: