The probability that among the students in the sample no more than 7 are female is approximately 0.982 or 98.2%.
To calculate the probability that no more than 7 students in the sample are female, we need to consider the binomial distribution.
The community college student body consists of 40% males, which means 60% are females.
We have a random sample of 8 students.
To get the probability, we can use the binomial probability formula:
P(X ≤ k) = Σ (n choose x) * p^x * (1-p)^(n-x)
Where:
n is the number of trials (sample size)
k is the number of successes (female students)
p is the probability of success (proportion of females in the population)
(n choose x) is the binomial coefficient
In this case:
n = 8 (sample size)
p = 0.6 (proportion of females in the population)
k can take the values 0, 1, 2, 3, 4, 5, 6, or 7
We need to calculate the sum of probabilities for each value of k:
P(X ≤ 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)
Calculating each term using the binomial probability formula and summing them will give us the desired probability.
Note: The binomial probability formula assumes independent and identically distributed (i.i.d.) trials and a fixed probability of success.
The community college student body consists of 40% males, which means 60% are females.
We have a random sample of 8 students.
Let's calculate the probability:
P(X ≤ 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)
To calculate each term, we use the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
Where:
n is the number of trials (sample size) = 8
k is the number of successes (female students)
p is the probability of success (proportion of females in the population) = 0.6
Let's calculate each term and sum them up:
P(X = 0) = (8 choose 0) * (0.6^0) * (0.4^8) = 0.1678
P(X = 1) = (8 choose 1) * (0.6^1) * (0.4^7) = 0.3579
P(X = 2) = (8 choose 2) * (0.6^2) * (0.4^6) = 0.3020
P(X = 3) = (8 choose 3) * (0.6^3) * (0.4^5) = 0.1463
P(X = 4) = (8 choose 4) * (0.6^4) * (0.4^4) = 0.0410
P(X = 5) = (8 choose 5) * (0.6^5) * (0.4^3) = 0.0068
P(X = 6) = (8 choose 6) * (0.6^6) * (0.4^2) = 0.0006
P(X = 7) = (8 choose 7) * (0.6^7) * (0.4^1) = 0.00003
Summing up the probabilities:
P(X ≤ 7) = 0.1678 + 0.3579 + 0.3020 + 0.1463 + 0.0410 + 0.0068 + 0.0006 + 0.00003 ≈ 0.982
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Show work and thank you
How do I solve this arithmetic sequence?
Answer:
The 16ᵗʰ term of this sequence is 82
Step-by-step explanation:
Here,
First Term = a₁ = 9
Common Difference = (d) = 2
Now, For 16ᵗʰ term, n = 16
aₙ = a + (n - 1)d
a₁₆ = 7 + (16 - 1) × 2
a₁₆ = 7 + 15 × 5
a₁₆ = 7 + 75
a₁₆ = 82
Thus, The 16ᵗʰ term of this sequence is 82
-TheUnknownScientist
1.There are 270 students at an elementary school. There are 5 boys for every 4 girls. How many boys attend the school?
2. 4 small candies cost $0.96. How much do 6 candies cost?
3. 3 bags of chips cost $5.55. How much does 2 bags of chips cost?
4. 5 movie tickets cost $55. At this rate, what is the cost per ticket?
Answer:
Step-by-step explanation:
1. Not sure...
2. $ 1.44
3. $ 3.70
4. $11 per ticket
The sheet of metal has dimensions 56 cm by 33 cm. It sis melted down
and recast into discs of the same thickness and radius 7 cm. How many
disces will be cast ?
Answer:
12 discs
Step-by-step explanation:
Sheet metal has dimensions of 56 cm by 33 cm. This indicates that it is a rectangle.
A_rectangle = length × width
A_rect = 56 × 33
A_rect = 1848 cm²
It is now melt down and recast into disc's of 7 cm radius and similar thickness.
Thus;
Area of one disc = πr² = π × 7² = 49π
Thus,number of disc's cast = 1848/49π
number of disc's cast = 12
please dont put any links or I'll report:(
Answer:
1000
Step-by-step explanation:
volume of prism formula=b*w*h(base times width times height)
10*10*10(10^3)=1000
Answer: 1,000 m
Step-by-step explanation:
To find volume you have to multiply: LengthxWidth,Height so you would do 10x10x10 and get 1,000 m
HOPE THIS HELPS ^^
When performing polynomial regression, we should use the
smallest degree that provides a good fit. Why?
When performing polynomial regression, it is advisable to use the smallest degree that provides a good fit.
Polynomial regression involves fitting a polynomial function to a set of data points. The degree of the polynomial represents the highest power of the independent variable in the equation.
By using the smallest degree that provides a good fit, we aim to strike a balance between model complexity and overfitting.
Using a smaller degree helps prevent overfitting, which occurs when a model becomes too complex and captures noise or random fluctuations in the data. Overfitting leads to poor generalization, meaning the model may perform well on the training data but poorly on new, unseen data.
By using the smallest degree that provides a good fit, we minimize the risk of overfitting and ensure that the model captures the underlying trend in the data without incorporating unnecessary complexity.
This approach helps create a more robust and reliable model for making predictions on new data.
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Suppose that in a large batch of chocolate chip cookies, the number of chips in a given cookie is in a normal distribution with mean 7.5 and standard diviation 1.2.
(a) What is the probability that a cookie has less than 9 chips?
(b) What is the probability that a random sample of 4 cookies has an average of less than 9 chips per cookie?
If a normal distribution with a mean of 7.5 and a standard deviation of 1.2. (a) The probability that a cookie has less than 9 chips is 0.8944. (b) The probability that a random sample of 4 cookies has an average of fewer than 9 chips per cookie is 0.9938.
As μ = 7.5, σ = 1.2. The number of chips in a given cookie is in a normal distribution. We need to estimate the following probabilities:
(a) For this, we need to identify the probability of a Z-score when X=9. We can calculate it using the formula,
Z = (X-μ)/σ.
Therefore,
Z = (9-7.5)/1.2 = 1.25.
Now we can use the standard normal distribution table or calculator to identify the probability associated with the Z-score of 1.25. Using the calculator, P(Z < 1.25) = 0.8944.
(b) For this, we need to identify the probability of the Z-score when X = 9, n=4. We can calculate it using the formula,
Z = (X-μ)/(σ/√n).
Therefore,
Z = (9-7.5)/(1.2/√4) = 2.5.
Now we can use the standard normal distribution table or calculator to identify the probability associated with the Z-score of 2.5. Using the calculator, P(Z < 2.5) = 0.9938.
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I NEED HELP WITH THIS PLS ASAP!!!
daniel bought 6 shirts for $28.93 if he paid the same price for each shirt how much would he spend if he bought 15 shirts?
Answer:
i dont know do it yourself chump
Step-by-step explanation:
(c) Let X and Y be independent random variables such that XY is degenerate at c≠0 i.e., P(XY = c) = 1. Show that X and Y are also degenerate.
(a) Suppose two buses, A and B, operate on a route. A person arrives at a certain bus stop on this route at time 0. Let X and Y be the arrival times of buses A
(c) Let X and Y be independent random variables such that XY is degenerate at c≠0 i.e., P(XY = c) = 1. Show that X and Y are also degenerate.
5. (a) Suppose two buses, A and B, operate on a route. A person arrives at a certain bus stop on this route at time 0. Let X and Y be the arrival times of buses A
(a) Let X and Y be the arrival times of buses A and B respectively, it is given that buses A and B are independent and hence X and Y are independent random variables.
Therefore, X and Y are also degenerate at c.
Since a person arrives at the bus stop at time 0, the arrival times of buses A and B cannot be negative
i.e., X, Y ≥ 0.
Also, both buses cannot arrive at time 0
i.e., P(X = 0, Y = 0) = 0.
Now, suppose that X and Y are not degenerate. T
hen, their joint distribution function is given by:
F(X, Y) = P(X ≤ x, Y ≤ y) > 0, for some x, y ≥ 0.
Using the independence of X and Y, we get:
F(X, Y) = P(X ≤ x)P(Y ≤ y) > 0,
for some x, y ≥ 0.
Since P(XY = 0) = 0,
we have XY ≠ 0 and
hence P(XY = c) > 0,
for some c ≠ 0.
Now, for a fixed ε > 0,
let Bε = {(x, y) : |xy - c| < ε}.
Then, P((X, Y) ∈ Bε) > 0.
Similarly, let B'ε = {(x, y) : x < ε} and
B''ε = {(x, y) : y < ε}.
Then, P((X, Y) ∈ B'ε) > 0
and P((X, Y) ∈ B''ε) > 0.
Now, we have:
Bε ⊆ B'ε ∪ B''ε and (X, Y) ∈ B'ε
if and only if X < ε and (X, Y) ∈ B''ε
if and only if Y < ε.So,
using the union bound and taking ε small enough, we get:
P(X < ε) + P(Y < ε) > P((X, Y) ∈ Bε) > 0.
This contradicts the assumption that P(X = 0, Y = 0) = 0.
Therefore, X and Y must be degenerate.
Now, we will show that if XY is degenerate at c ≠ 0
i.e., P(XY = c) = 1,
then X and Y are also degenerate at the same point.
To see this, note that for any Borel sets A, B ⊆ R, we have:
P(X ∈ A, Y ∈ B) = P(XY ∈ A × B) = P(XY = c)
= 1, if (c ∈ A × B) or (c is an isolated point of A × B).
Therefore, X and Y are also degenerate at c.
This completes the proof of the required statement.
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Will be marking brainliest for the correct answer!!
Maximum answers is 3, so please 3 of the following ^^
Answer:
x = 6
11/2x + 2/3x = 37
37/6x = 37
Step-by-step explanation:
these are correct since when you evaluate the equation, you only get 6 being the value for x. And all these three options I wrote above lead to x = 6
Hope this helped :)
What is debt-to-income ratio and how do you figure it out?
Plzz help everything is in the screen shot
Answer:
#1
Yesy = x + 1#2
Yesy = -2x#3
No#4
Nofind the values of x and y
Answer:
the answer is X = 40 Y=50
Step-by-step explanation:
Statements apply to the expression 8^3 ?check all that apply
Answer: So, 8%3 = 2
Step-by-step explanation:
{1+8+27+64+125...} find the next 9 terms
Answer: 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744
Step-by-step explanation: The terms are the cubes of the numbers 1, 2, 3, 4, 5...
A figure is made up of with seven X rodes and five Y rodes . If X= 3 and Y= 5 calculate the perimeter with the formula.
OPTIONS:
8
46
50
40
Need actual help (please hurry)
file:///C:/Users/TOSHIBA/Downloads/SISTEMA%20DE%20MEDICION%20ANGULOS%20(1).pdf
necesito solo las respuestas de la ultima pregunta, por favor
Answer:
I was unable to see this link. Sorry.
Step-by-step explanation:
Regression analysis was applied between the number of hours a student studied for a test and the test score and the following regression equation was obtained y = 50 +7 If a student spends 5 hours studying for a fost what is the test score? 50 we do not have enough information to answer this question Question: What is the critical thom the tables for alle hypothesisamos 20 when population standard deviation is unknown Considerio C-412 -1.725 1.720 4125 Question : A contingens position to an applicant the card scores foto Interviews. Eachinewasa se 200 000 An HR behou tendants score can be prices on the scores of the following regression out predict the core of the fourth based on the free ANOVA 3 MS Rey 3 15131 007 ti Ener Tot OURCE Predor Coutine Standard Lot 02145 80150 1 0033 000 DO 47400 no 01264 What is the 31
In the first question, based on the given regression equation, if a student spends 5 hours studying for a test, the predicted test score would be 50 + 7(5) = 85.
In the second question, the information provided is unclear and incomplete. The given text appears to contain multiple unrelated statements and lacks sufficient context or specific details to answer the question regarding the critical value for hypothesis testing.
1. For the first question, the regression equation is given as y = 50 + 7x, where y represents the test score and x represents the number of hours studied. To find the test score when a student spends 5 hours studying, we substitute x = 5 into the equation: y = 50 + 7(5) = 85.
2. However, the second question is unclear and does not provide sufficient information or context to determine the intended calculation or answer. It mentions something about applicant interviews, regression output, and ANOVA, but the information is not well-defined or organized. Without specific details and clear instructions, it is not possible to provide a meaningful response.
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Define a sequence a,, so that ao = 2, a₁ = 3, and an = 6an-1-8a-2.
The sequence {aₙ} defined by a₀ = 2, a₁ = 3, and aₙ = 6aₙ₋₁ - 8aₙ₋₂ produces the terms:
2, 3, 2, -12, -88, -432, ...
To define the sequence {aₙ}, given a₀ = 2, a₁ = 3, and the recursive formula aₙ = 6aₙ₋₁ - 8aₙ₋₂, we can calculate the subsequent terms of the sequence.
Using the given initial conditions, we have:
a₀ = 2
a₁ = 3
To find a₂, we substitute n = 2 into the recursive formula:
a₂ = 6a₁ - 8a₀
= 6(3) - 8(2)
= 18 - 16
= 2
To find a₃, we substitute n = 3 into the recursive formula:
a₃ = 6a₂ - 8a₁
= 6(2) - 8(3)
= 12 - 24
= -12
Continuing this process, we can find the subsequent terms of the sequence:
a₄ = 6a₃ - 8a₂
= 6(-12) - 8(2)
= -72 - 16
= -88
a₅ = 6a₄ - 8a₃
= 6(-88) - 8(-12)
= -528 + 96
= -432
and so on.
Therefore, the sequence {aₙ} defined by a₀ = 2, a₁ = 3, and aₙ = 6aₙ₋₁ - 8aₙ₋₂ produces the terms:
2, 3, 2, -12, -88, -432, ...
Please note that if you need the general formula for the nth term of the sequence, it may require a different approach as the given recursive formula is not a linear recurrence relation with constant coefficients.
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A rectangle prism has a length of 10m, a height of 9m, and a width of 15m. What is its volume, in cubic meters
Answer:
1350 m³
Step-by-step explanation:
To find the volume of a rectangular prism, we have to multiply its length, width, and height together.
The dimensions of this prism are 9, 10, and 15.
9 · 10 · 15 = 1350
The volume is 1350 meters³.
I hope this helps ^^
Select all of the prime numbers from the list that can divide the number 10 exactly.
A2
B 3
C 5
D 7
E 11
F 13
G 17
H 19
I 23
Answer:
2 and 5
Step-by-step explanation:
2×5 = 10 or visa versa
10 ÷5=2
10 ÷2 =5
5. At the end of the performance, the band marches off the field to the right, moving the entire sine curve. Asa grabs his camera to takes a picture of the entire football field. At the instant he takes the picture, the first person forming the curve now stands at the 5 yard line. What is the equation of the sine curve representing the position of the band members in Asa’s picture?
While playing, they move, but still maintain the sinusoidal function, ... 5.At the end of the performance, the band marches off the field to the ... Asa grabs his camera to takes a picture of the entire football field. At the instant he takes the picture, the first person forming the curve now stands at the 5 yard line.
Can some help me pls
Answer:
1. 0=0
2. x= -3
3. 14=0
Step-by-step explanation:
I tried I'm sorry if it's wrong
Find the percent change from the first value to the second.
20;30
The change is (select)
Answer:
increase by 10%.
which is the simplified form for
2(3a+5)+8(a-1)
a. 20a+10
b. 18a+9
c. 12a+14
d. 14a+2
miku nakano here
2(3a + 5) + 8(a - 1)
= 6a + 10 + 8a - 8
= 6a + 8a + 10 - 8
= 14a + 2
Answer: Choice C. [ 14a + 2 ]Are the ratios 1:2 and 4:7 equivalent?
Answer:
No
Step-by-step explanation:
By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent.
Find the margin of error E for a 97% confidence
interval for (p1 − p2),
given that n1 = 108, n2 = 723, x1
= 62, and x2 = 235
Round your answer to three decimal places.
The margin of error for a 97% confidence interval for (p1 - p2) is 0.159.
To find the margin of error (E) for a 97% confidence interval for (p1 - p2), we can use the following formula:
E = Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))
Where:
Z is the z-score corresponding to the desired confidence level. For a 97% confidence level, the z-score is approximately 2.170.
p1 and p2 are the sample proportions for populations 1 and 2, respectively.
n1 and n2 are the sample sizes for populations 1 and 2, respectively.
To calculate p1 and p2, we divide the sample counts (x1 and x2) by their respective sample sizes (n1 and n2).
p1 = x1 / n1 = 62 / 108 ≈ 0.574
p2 = x2 / n2 = 235 / 723 ≈ 0.325
Substituting the values into the formula, we have:
E = 2.170 * sqrt((0.574 * (1 - 0.574) / 108) + (0.325 * (1 - 0.325) / 723))
Calculating this expression, we find:
E ≈ 2.170 * sqrt(0.004957 + 0.000443)
≈ 2.170 * sqrt(0.005400)
≈ 2.170 * 0.073486
≈ 0.159
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Suppose you are planning a qualitative study to examine the problem of attrition from an online doctoral program. Describe the role of the literature review in this qualitative study.
Suppose you are planning a quantitative study of the factors that predict attrition from a doctoral program. When should you complete a literature review for this quantitative study? Before or after determining your research hypothesis or research questions?
The required answer is The literature review should be completed before developing a research hypothesis or research questions for a quantitative study.
Explanation :
The role of literature review in the qualitative study.To examine the problem of attrition from an online doctoral program in a qualitative study, a literature review is essential to identifying the theoretical frameworks and practices for reducing attrition. Researchers need to review the current theories on student retention, persistence, and attrition to examine the factors contributing to these trends.
By reviewing related literature, researchers gain insight into how student attrition is approached in existing literature. Additionally, literature review helps in developing the research problem and objectives, identifying gaps in the current literature that the study can fill. This provides a solid foundation for conducting qualitative research and enables the researcher to identify the gaps and the direction the study should take.
When should you complete a literature review for a quantitative study?For a quantitative study of the factors that predict attrition from a doctoral program, a literature review should be completed before determining your research hypothesis or research questions.
A literature review is essential as it helps researchers to identify the current literature, theories, and research studies conducted in the area of attrition in doctoral programs.
By conducting a literature review, the researcher can identify gaps, inconsistencies, and areas that require more attention. This allows researchers to develop an appropriate research design, research questions, and hypotheses that address the identified gaps in the literature.
Thus, the literature review should be completed before developing a research hypothesis or research questions for a quantitative study.
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