The required sample size is at least 50 in order to achieve a maximum error of estimate within three years of the population mean at a 99% confidence level.
To estimate the sample size needed to achieve a maximum error of estimate within three years of the population mean, we can use the formula:
n = (Z * σ / E)^2where:
n is the required sample size,
Z is the Z-score corresponding to the desired confidence level,
σ is the standard deviation of the population, and
E is the maximum error of estimate.
In this case, the researcher wants to estimate the mean age of all Business Week readers at a 99% confidence level. The standard deviation of ages is given as nine years, and the maximum error of estimate (E) is three years.
First, we need to obtain the Z-score corresponding to a 99% confidence level. The Z-score can be obtained from a standard normal distribution table or calculated using statistical software. For a 99% confidence level, the Z-score is approximately 2.576.
Now, we can substitute the given values into the formula to find the required sample size:n = (Z * σ / E)^2
n = (2.576 * 9 / 3)^2
n = (7.01424)^2
n ≈ 49.18
Since the sample size must be a whole number, we need to round up to the nearest whole number.
Therefore, the required sample size is at least 50 in order to achieve a maximum error of estimate within three years of the population mean at a 99% confidence level.
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Sandy went for a jog and completed 2 miles. How many yards did she jog?
Answer:
3,520
Step-by-step explanation:
Answer:
3,520 yards
Step-by-step explanation:
I converted miles to yards
Question 5 The equations N1 /dt = r1N1 [(K1 - N1 - ON2)/K1] and ON2/dt = r2N2 [(K2 - N2 - BN1)/K2] describe the models for the
The equations N1/dt = r1N1[(K1 - N1 - ON2)/K1] and ON2/dt = r2N2[(K2 - N2 - BN1)/K2] describe models for population dynamics. These models are used to understand how populations of organisms change over time, based on factors like birth rates, death rates, and available resources.
In these equations, N1 and N2 represent the population sizes of two interacting species. The variables r1 and r2 are the intrinsic growth rates of these species, or the rates at which they reproduce in the absence of limiting factors. K1 and K2 represent the carrying capacities of the environment for each species, or the maximum population sizes that can be sustained by available resources.
The terms ON2 and BN1 represent the effects of interspecific interactions on population growth. ON2 refers to the negative impact of species 2 on the growth rate of species 1, and BN1 refers to the negative impact of species 1 on the growth rate of species 2. These interactions can take many forms, such as competition for resources or predation.
By manipulating these equations, scientists can make predictions about how populations will change over time, and test these predictions against real-world data. These models are particularly useful for understanding how species interact in complex ecosystems, and how human activities like habitat destruction and climate change are affecting these ecosystems.
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Consider the two functions. Which statement is true?
A)
Function 1 has the greater x-intercept by
HIN
unit
u
Function 2 has the greater x-intercept by ž unit
B)
Function 1 has the greater x-intercept by
MIN
units
D)
Function 2 has the greater x-intercept by
NON
units
о
Answer:
I'm not for sure but I think it's a
Graph each inequality
The first person will be marked brainliest!!
Answer:
2 number is correct answer
Second one is correct i think
hope it helps
mark me brainlist
The area of a rectangular concrete patio is 70 square meters. It is 10 meters long. How wide is it?
Answer:
Correct me if I'm wrong, but I'm pretty sure it is 7.
Step-by-step explanation:
because to find area you multiply length * width so 10 times 7 is 70?
a pair of dice are tossed. what is the probability that doubles are rolled, given that the sum on the two dice is less than 12? (round your answer to three decimal places.)
The probability of rolling doubles given that the sum on the two dice is less than 12 is 0.171.
We need to consider the favorable outcomes (rolling doubles) and the total possible outcomes (sum less than 12).
Favorable outcomes:
There are six possible doubles when rolling a pair of dice: (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6).
Total possible outcomes:
The total number of outcomes when rolling a pair of dice is 6× 6 = 36. Since we want to consider only the cases where the sum is less than 12, we need to exclude the outcome (6, 6), as its sum is 12.
Therefore, the total possible outcomes are 36 - 1 = 35.
Now we can calculate the probability:
Probability = (Number of favorable outcomes) / (Number of total possible outcomes)
= 6 / 35
Probability = 0.171
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What is the correlation coefficient of these six data points? express your answer as a decimal, fraction, or simple mathematical expression. your fraction does not need to be reduced. x y 0 8 1 11 3 10 4 13 7 10 10 6
The correlation coefficient is -0.29.
Correlation refers to a process for establishing whether or not relationships exist between two given variables.
In statistics, correlation coefficients are used to quantify the strength of the association between two variables. Like Pearson's correlation, which is frequently employed in linear regression, there are other varieties of correlation coefficients. It is widely used in statistics and is highly well-liked.
X Y X² Y² XY
0 8 0 64 8
1 11 1 121 11
3 10 9 100 30
4 13 16 169 52
7 10 49 100 70
10 6 100 36 60
∑X = 25
∑Y = 58
∑X² = 175
∑Y²= 590
∑XY= 231
r = N×∑XY−(∑X∑Y) / √[N∑x2−(∑x)2][N∑y2−(∑y)2]
Putting all the values,
r = 6*231 - (25*58) / √(6*175-625)(6*590-3364)
r = 1368 - 1450 / √(425)(176)
r = -82/ √ 74800
r = -82/ 273.49
r= -0.29
Therefore, the correlation coefficient is -0.29.
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What time does the clock show?
Answer:
12:43
Step-by-step explanation:
true or false: the input list is comprised of a set of expected rates of return and a standard deviation matrix.
False. The input list is not comprised of a set of expected rates of return and a standard deviation matrix.
The input list typically represents a collection of data or elements, such as numbers, strings, or objects, organized in a specific order. It can be used to store and manipulate information in various programming languages. However, in the given statement, the input list is described as consisting of expected rates of return and a standard deviation matrix. This suggests that the list is specifically tailored for financial analysis or statistical calculations. In such cases, the list might contain data related to investment returns and associated risks, including expected rates of return and corresponding standard deviations. However, without additional context, it is not accurate to assume that all input lists are structured in this manner.
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What other information is needed to prove that FGE Ijh by the SAS?
To prove that triangle FGE and triangle IJH we need information like the two sides of each triangle and the included angle to be congruent.
To prove two triangles are similar by the SAS is that you need to show that two sides of one triangle are proportional to two corresponding sides of another triangles, with the included corresponding angles being congruent.
For the SAS postulate you need two sides and the included angle in both triangles.
Side-Angle-Side (SAS) postulate:-
If two sides and the included angles of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS postulate relate two triangles and says that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.
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pls help if you can asap!!!!
Answer: A
Step-by-step explanation: I would say A because the angle is greater than 90 degrees
Answer:
We have supplementary angles.
76 + 3x + 2 = 180
3x + 78 = 180
3x = 102
x = 34
describe the given set in spherical coordinates x^2+ y^2+z^ 2=64, z≥0 (use symbolic notation and fractions where needed.) = p≤ ∅≤ ∅≥
Thus, the given set in spherical coordinates can be described as: ρ = 8, 0 ≤ θ ≤ π/2, 0 ≤ φ ≤ 2π.
The given set can be described in spherical coordinates as follows: ρ² = 64 and z ≥ 0, where ρ (rho) is the radial distance, θ (theta) is the polar angle, and φ (phi) is the azimuthal angle.
In spherical coordinates, the relationship between Cartesian and spherical coordinates is:
x = ρ × sin(θ) × cos(φ)
y = ρ × sin(θ) × sin(φ)
z = ρ × cos(θ)
For x² + y² + z² = 64, we can substitute the spherical coordinates:
(ρ * sin(θ) × cos(φ))² + (ρ × sin(θ) × sin(φ))² + (ρ × cos(θ))² = 64
ρ² * (sin²(θ) × cos²(φ) + sin²(θ) × sin²(φ) + cos²(θ)) = 64
Since sin²(θ) + cos^2(θ) = 1, the equation simplifies to:
ρ² = 64
So, ρ = 8, as the radial distance must be non-negative.
For z ≥ 0, we use the relationship z = ρ × cos(θ):
8 × cos(θ) ≥ 0
This inequality is satisfied when 0 ≤ θ ≤ π/2, as the cosine function is non-negative in this range.
Since the azimuthal angle φ covers the entire range of possible angles in the xy-plane, we have 0 ≤ φ ≤ 2π.
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Please help!! Show work
HEEEEEEEELLLLLLPPPPPPPPP Graph the equation using the slope and y-intercept y = 1/3x + 4
Answer:
Step-by-step explanation:
the first four terms of a geometric sequence are 27, x, 3, 1. find the value of x
Answer:
9
Step-by-step explanation:
Explain whether or not a continuous function can be considered a sequence.
Answer:
A function is considered continuous when it has no drastic changes in the sequence known as discontinuities. If not continuous, a function is said to be discontinuous.
If data on a scatterplot shows points scattered in a random fashion, the variables have _____ relationship.
If data on a scatterplot shows points scattered in a random fashion, the variables have no relationship or a weak random relationship.
When the points on a scatterplot are scattered randomly, it indicates that there is no apparent pattern or trend between the variables being plotted. In other words, the values of one variable do not seem to have any influence on the values of the other variable. This suggests that there is no correlation or relationship between the two variables.
A scatterplot is a graphical representation that helps visualize the relationship between two variables. When the points on the scatterplot are randomly scattered, it means that the values of the variables are not related to each other in any systematic way
. There is no clear direction or trend that can be observed in the data. This indicates that changes in one variable do not result in predictable changes in the other variable.
In such cases, the variables are said to have no relationship or a weak random relationship. It is important to note that the absence of a relationship on a scatterplot does not necessarily imply that there is no relationship between the variables; it simply means that no apparent relationship can be observed based on the available data.
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Please help I need to get this one question right so I can pass my lesson
Answer:
I think the answer is
Statement A
Step-by-step explanation:
Can anyone help me !!!
Answer:
Yes the equation is a linear one because it is an equation for a straight line.
Step-by-step explanation:
Answer:
Yes. Read below for explanation.
Step-by-step explanation:
y=3x+1 is in-fact linear. It is not a function though as it's y-intercept is 1 not 0. If you graphed this on a graphing calculator such as Desmos, it would create a line. It also uses slope-point formula which definitely makes it a line.
What is the answer to this onee?
Answer:
7.241 X 10(power of -5)
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.
prove that if five cards are chosen from an ordinary 52-card deck, at least two of the cards will be of the same suit. use the pigeonhole proof only.
The original statement holds true: if five cards are chosen from an ordinary 52-card deck, at least two of the cards will be of the same suit.
To prove that if five cards are chosen from an ordinary 52-card deck, at least two of the cards will be of the same suit using the pigeonhole principle, we can proceed as follows:
Assume the opposite, that is, assume that all five cards are of different suits. Each suit (clubs, diamonds, hearts, and spades) has a maximum of 13 cards in a deck. Therefore, if all five cards are of different suits, the maximum number of cards we can select is 13 (one card from each suit).
However, we need to select five cards. According to the pigeonhole principle, if we distribute five objects (cards) into four pigeonholes (suits), at least one pigeonhole must contain more than one object. In our case, if all five cards are of different suits, it would mean that each pigeonhole (suit) contains exactly one card, which contradicts the fact that we need to select five cards.
Hence, our assumption that all five cards are of different suits leads to a contradiction. Therefore, the original statement holds true: if five cards are chosen from an ordinary 52-card deck, at least two of the cards will be of the same suit.
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Write 4 x 10^-3 in standard notation.
Answer:
0.004
Step-by-step explanation:
PLEASE mark as brainliest :DD
A printer can print 25 pages in a minute. Which inequality shows the number of minutes, n, the printer takes to print more than 250 pages?
Group of answer choices
Answer:
What are the answers?
Step-by-step explanation:
because the ratio is 25:1 aka 25 pages: 1 minute
(4w+32)(-w-5)=0 solution set
Answer:
W=5 w=8
Step-by-step explanation:
Please can anyone help me
Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(-3, ?) for the equation 4x + y = 5
Answer:
17 (I think)
Step-by-step explanation:
substitue -3 in for x so 4(-3) + y = 5
-12+ y =5
+12 +12
y=17
Which is a right triangle formed using a diagonal through the interior of the cube?
A .triangle BDH
B .triangle DCB
C .triangle GDC
D .triangle GHE
Answer:
GDC
Step-by-step explanation:
For exponential models, express as a logarithm the solution to a b^{c t}=d where a, c , and d are numbers and the base b is 2 , 10 , or e , evaluate the logarithm using technology.
The solution to the exponential equation of the form a * b^(c * t) = d, where b can be 2, 10, or e, can be expressed as a logarithm.
By taking the logarithm of both sides of the equation, we can isolate the variable t and evaluate it using technology. Let's consider the three cases separately, where the base b can be 2, 10, or e.
1. Base 2: To express the equation a * 2^(c * t) = d as a logarithm, we can take the logarithm base 2 of both sides: log2(a * 2^(c * t)) = log2(d). Applying the logarithm properties, we get log2(a) + (c * t) * log2(2) = log2(d). Since log2(2) = 1, the equation simplifies to log2(a) + c * t = log2(d). Now we can isolate t by rearranging the equation as t = (log2(d) - log2(a)) / c.
2. Base 10: For the equation a * 10^(c * t) = d, we take the logarithm base 10 of both sides: log10(a * 10^(c * t)) = log10(d). Using the logarithm properties, we have log10(a) + (c * t) * log10(10) = log10(d). As log10(10) = 1, the equation simplifies to log10(a) + c * t = log10(d). Rearranging the equation, we find t = (log10(d) - log10(a)) / c.
3. Base e (natural logarithm): For the equation a * e^(c * t) = d, we take the natural logarithm (ln) of both sides: ln(a * e^(c * t)) = ln(d). Applying the logarithm properties, we get ln(a) + (c * t) * ln(e) = ln(d). Since ln(e) = 1, the equation simplifies to ln(a) + c * t = ln(d). Rearranging the equation, we obtain t = (ln(d) - ln(a)) / c.
To evaluate the logarithm and obtain the value of t, you can use a scientific calculator, computer software, or online tools that have logarithmic functions. Simply substitute the given values of a, c, and d into the respective logarithmic equation and calculate the result using the available technology.
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I NEED HELP WITH THIS. PLZZZZ HELP!!!!!!!! :(
Simple
Step-by-step explanation:
State 3 or more details why and where you want to go on the plane ride. Use full sentences and good punctuation. Hope you get an A+!
Answer:
Here's the new and improved essay. I made sure to add the literary devices.
Step-by-step explanation:
My mom said that this is the last time I can help you because she needs me to focus on my own priorities even if I say I want to do it on my freetime shes saying that I can't do homework for people, because she says I'm helping them cheat and I'm giving them a bad example. I'm really sorry. I hope this essay works out for you.
to grow properly, each tomato plant needs 1.5 square feet of soil and each broccoli plant needs 2.25 square feet of soil. the graph shows the different combinations of broccoli and tomato plants in an 18 square foot of soil. match each point to the statement that describes it.
The match for the graph would be
at Point A: 0 tomato and 8 broccoli planted, this is matched to 2.Point B: 3 tomato planted and 2 broccoli planted. this is matched to 3Point C: 6 tomato planted and 4 broccoli matched this is matched to 1Point d: 4 tomato and 6 broccoli matched to point 1.What is a graph?This is used to refer to the graphical or the diagrammatical representation that is used to show relationship between variables. With the vy axis and the x axis.
In this graph the two vegetables have the y and the x axis with number of broccoli in the y axis and in the x axis we have tomato.
From the graph we came up with the representation here: The match for the graph would be
at Point A: 0 tomato and 8 broccoli planted, this is matched to 2.Point B: 3 tomato planted and 2 broccoli planted. this is matched to 3Point C: 6 tomato planted and 4 broccoli matched this is matched to 1Point d: 4 tomato and 6 broccoli matched to point 1.Read more on graphs here:
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