Suppose two students from Georgia State University, working as interns for Select one answer the American National Elections Studies agency (ANES), are both 10 points assigned to survey a random sample of registered voters and ask whether or not they will vote for a certain candidate. The first intern plans to select 500 voters and the second intern plans to select 1500 voters. If each intern conducted the study repeatedly selecting different samples of people each time... but using the same sample size), which one of the following would be true regarding the resulting sample proportion, p, of "yes" responses for each intern? A. For either sample size, using the same size each time, as long as the sampling is done with replacement, their mean would be o. B. Different sample proportions, p, would result for each intern, but for either sample size, they would be centered (have their mean) at the true population proportion, P. C. Different sample proportions, p, would result for each intern, but for the intern using a sample size of 1500 they would be centered (have their mean) at the true population proportion, P, whereas for sample size 500 they would not. D. Different sample proportions, p, would result for each intern, but for sample size 500 they would be centered (have their mean) at the true population proportion, P, whereas for sample size 1500 they would not.
Answers
Answer: Different sample proportions, ^p, could result for each intern, but for either sample size, they would be centered (have their mean) at the true population proportion, p.
Step-by-step explanation:
Related Questions
A dragster starts from rest and accelerates at 32 m/s2m/s2. how fast is it going after tt = 4.0 secsec?
Answers
The dragster, starting from rest and accelerating at 32 m/s², reaches a speed of 128 m/s after 4.0 seconds.
A dragster starting from rest means that its initial velocity is zero. The dragster's acceleration is given as 32 m/s². To determine the speed of the dragster after 4.0 seconds, we can use the equation of motion:
where:
v = final velocity
u = initial velocity (which is 0 m/s since the dragster starts from rest)
a = acceleration (32 m/\(s^2\) in this case)
t = time (4.0 seconds in this case)
Substituting the given values into the formula:
v = 0 + (32 m/\(s^2\))(4.0 s)
v = 0 + 128 m/s
v = 128 m/s
Therefore, the dragster is traveling at a speed of 128 m/s after 4.0 seconds of acceleration.
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3(y+3)+7(2y-8)-(y-1)=0
Answers
Answer:
We have this equation:
\(3(y+3)+7(2y-8)-(y-1)=0\)
First, we do the parenthesis:
\(3y+9+14y-56-(y-1)=0\\\)
When there is a minus (-) in front of a parenthesis, all signs change inside it:
\(3y+9+14y-56-y+1)=0\\\)
Now we operate:
\(16y-46=0\)
We add 46 on both sides:
\(16y - 46 + 46 = 0 +46\)
\(16y = 46\)
And divide 16 on both sides:
\(\frac{16y}{16}=\frac{46}{16}\)
\(\bol{x = \frac{46}{16}}\) = \(\frac{23}{8}\)
Answer:
Step-by-step explanation:
3(y+3)+7(2y-8)-(y-1)=0
3y + 9 + 14y - 56 - y + 1 = 0
16y - 46 = 0
16y - 46 + 46 = 0 + 46
16y = 46
16y/16 = 46/16
y = 23/8
find an equation for the paraboloid in spherical coordinates. (enter rho, phi and theta for , and , respectively.)
Answers
The equation for a paraboloid in spherical coordinates is ρcos(φ) = kρ²sin²(φ), where ρ represents the distance from the origin, φ represents the angle between the positive z-axis, and θ represents the angle between the positive x-axis.
To find the equation for a paraboloid in spherical coordinates, we can use the following steps:
Step 1: Identify the variables involved.
In spherical coordinates, we have three variables:
- ρ (rho) represents the distance from the origin to the point.
- φ (phi) represents the angle between the positive z-axis and the line segment connecting the origin to the point.
- θ (theta) represents the angle between the positive x-axis and the projection of the line segment connecting the origin to the point onto the xy-plane.
Step 2: Determine the equation for a paraboloid.
A paraboloid is a three-dimensional shape that resembles a bowl or a vase. It can be described by the equation:
z = k(x² + y²)
Step 3: Convert the equation to spherical coordinates.
To express the equation in terms of spherical coordinates, we need to substitute x, y, and z with ρ, φ, and θ.
In spherical coordinates, the conversion formulas are:
x = ρsin(φ)cos(θ)
y = ρsin(φ)sin(θ)
z = ρcos(φ)
Step 4: Substitute the values into the equation.
Using the conversion formulas, we can substitute x, y, and z in the equation for the paraboloid:
ρcos(φ) = k(ρ²sin²(φ)cos²(θ) + ρ²sin²(φ)sin²(θ))
Step 5: Simplify the equation.
Let's simplify the equation by factoring out ρ²sin²(φ):
ρcos(φ) = kρ²sin²(φ)(cos²(θ) + sin²(θ))
Step 6: Further simplify the equation.
We know that cos²(θ) + sin²(θ) equals 1, so we can substitute this into the equation:
ρcos(φ) = kρ²sin²(φ)
Thus, the equation for the paraboloid in spherical coordinates is:
ρcos(φ) = kρ²sin²(φ)
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Algebra 2, I remember doing this but i’m confused bc I remember like (f)g)(x) something like that so do I multiply or what?
Answers
If the function g(t) is -4t + 5 then (g o g)(t) will be 16t - 15.
What is a function?A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain. Originally, functions were the idealization of how a varying quantity depends on another quantity.f(g(x)) means so wherever there is an x in the function f, the function g(x) is substituted.Here given function,
g(t) = -4t + 5
We have to find (g o g) (t)
(g o g)(t) = g(g(t))
= g(-4t + 5)
= -4(-4t + 5)+ 5
= 16t -20 +5
= 16t - 15
Therefore the function (g o g)(t) is 16t - 15.
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Someone please help me ASAP!!
Answers
Answer:
B' = (-6,6)
Step-by-step explanation:
The coordinates of B are (-2,2)
If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)
Two dice are cast. What is the probability that the sum of the two numbers does not exceed 10 (i.e. is less than or equal to 10)?
Answers
The probability is approximately 0.9167 or 91.67%.
To find the probability that the sum of two dice numbers does not exceed 10, we need to determine the favorable outcomes (sums less than or equal to 10) and the total possible outcomes when rolling two dice.
There are 36 possible outcomes when rolling two dice because each die has six faces (1, 2, 3, 4, 5, and 6), and the total number of outcomes is obtained by multiplying the number of outcomes for each die (6 * 6 = 36).
Now let's determine the favorable outcomes (sums less than or equal to 10):
When the sum is 2: There is only one combination (1 + 1).
When the sum is 3: There are two combinations (1 + 2 and 2 + 1).
When the sum is 4: There are three combinations (1 + 3, 2 + 2, and 3 + 1).
When the sum is 5: There are four combinations (1 + 4, 2 + 3, 3 + 2, and 4 + 1).
When the sum is 6: There are five combinations (1 + 5, 2 + 4, 3 + 3, 4 + 2, and 5 + 1).
When the sum is 7: There are six combinations (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, and 6 + 1).
When the sum is 8: There are five combinations (2 + 6, 3 + 5, 4 + 4, 5 + 3, and 6 + 2).
When the sum is 9: There are four combinations (3 + 6, 4 + 5, 5 + 4, and 6 + 3).
When the sum is 10: There are three combinations (4 + 6, 5 + 5, and 6 + 4).
Adding up the favorable outcomes, we get: 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 = 33.
Therefore, the probability that the sum of the two dice numbers does not exceed 10 is given by:
Probability = Favorable outcomes / Total outcomes = 33 / 36 = 11/12 ≈ 0.9167.
So, the probability is approximately 0.9167 or 91.67%.
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I am ust typing this so it will let me post this But Please Help
Answers
Answer:
\( {4}^{3} = 64\)
Step-by-step explanation:
\( \frac{ {4}^{8} }{ {4}^{5} } = {4}^{3} \)
Subtract the numerator exponent from the denominator exponent.
\(8 - 5\)
11) Given: the function f defined by f(x) = 3x2 . Which statement is true?
1) f(0) = 0
2) f(-2) = f(2)
3) f(5) + f(2)= f(7)
4) f(5) - f(2)= f(10)
Answers
Let f(x)=x
2/3
+6 (a) Is f continuous at x=0 ? Yes No (b) Is f differentiable at x=0 ? Yes No
Answers
(a) No, f(x) is not continuous at x = 0.
(b) No, f(x) is not differentiable at x = 0.
(a) To determine if f(x) is continuous at x = 0, we need to check if the limit of f(x) as x approaches 0 exists and is equal to the value of f(0).
In this case, as x approaches 0, the expression x^(2/3) approaches 0, but the constant term 6 remains.
Therefore, the limit of f(x) as x approaches 0 does not exist since the terms do not approach a common value.
Additionally, the value of f(0) is 6. Since the limit does not exist or is not equal to f(0), f(x) is not continuous at x = 0.
(b) To determine if f(x) is differentiable at x = 0, we need to check if the derivative of f(x) exists at x = 0.
The derivative of f(x) is obtained by finding the derivative of each term separately and combining them.
However, the expression x^(2/3) does not have a derivative at x = 0 because the power 2/3 is not defined for negative values.
Therefore, the derivative of f(x) does not exist at x = 0, and f(x) is not differentiable at x = 0.
In summary, the function f(x) = x^(2/3) + 6 is not continuous at x = 0 because the limit of f(x) as x approaches 0 does not exist or is not equal to the value of f(0).
Additionally, f(x) is not differentiable at x = 0 because the expression x^(2/3) does not have a derivative at x = 0.
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f(x) = x2. What is g(x)?
5
f(x) = x²
-5
5
g(x)
O A. g(x) = -x2 - 4
B. g(x) = x2 - 4
O c. g(x) = - 4x²
O D. g(x) = x2 + 4
Answers
Answer:
Step-by-step explanation:
We can see g(x) is -f(x) and it is shifted downward by 4 units so
g(x)=-x^2-4 (answer B)
The graph of the function g ( x ) = -x² - 4 is plotted
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the parent function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x²
where the graph of the function g ( x ) is
g ( x ) = -x² - 4
Hence , the function is g ( x ) = -x² - 4
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Ginny divided the cake into 12 pieces. She gave 4 pieces to Sammy. What fraction of the cake did she have left?
Answers
Answer: 2/3 or 1/3
Step-by-step explanation: If we have a cake that has a total of 12 pieces, and we gave four to someone else we would have 8/12 pieces left. Now if we simplify then we would have 2/3 left.
Alternate explanation: Now if we just want to divide 4/12 then we would have 1/3.
I'm happy to help let me know if I'm wrong!
Tammy already has 9 stickers, and she will get 29 additional stickers from each sticker pack
she buys. How many sticker packs does Tammy have to buy to have a total of 96 stickers?
Answers
Answer:
3 packs would be needed
We will add 29 3 times to get the and also nine
Answer:
the answer is 3
Step-by-step explanation:
subtract 96 minus 9 witch is 87 then divide that by 29 and that gives you 3
не 22° K What is the measure of angle HJI? O 389 0 68° 112 1589
Answers
As, from the figure :
Angle HJK = 90 and IJK =22
Substitute the value :
Angle HJK = Angle HJI and the angle IJK
So, equations will be :
\(\begin{gathered} \angle HJK=\angle HJI\text{ + }\angle IJK \\ 90=\angle HJI+22 \\ \angle HJI\text{ = 90 -22} \\ \angle HJI=68 \end{gathered}\)Answer : Angle HJI = 68 degrees
Answer B) 68 degrees
A 1-m m^3 tank contains 2.1085 kg of steam at 0.6MPa. The gas constant, the critical pressure, and the critical temperature of steam are R=0.4615kPa⋅m^3/kg⋅K,TCr =647.1 K, and PCr =22.06MPa. Use data from the steam tables. Determine the temperature of the steam using the steam tables.
Answers
The temperature of the steam is 441.7 K.
A 1-m³ tank contains 2.1085 kg of steam at 0.6 MPa.
The gas constant, critical pressure, and critical temperature of steam are
R = 0.4615 kPa.m³/kg.K,
TCr = 647.1 K, and
PCr = 22.06 MPa.
Using data from the steam tables, let's find the temperature of the steam.
According to the steam table, the specific volume of the steam is 0.194 m³/kg at 0.6 MPa and 393.71 K. Since 1 m³ tank contains 2.1085 kg of steam, the total volume of steam is:
V = m/v
= (2.1085 kg)/(0.194 m³/kg)
= 10.8665 m³
The ideal gas equation of state is:
Pv = mRTor
T = PV/mR
Substituting the values we get:
T = (0.6 MPa)(10.8665 m³)/(2.1085 kg)(0.4615 kPa.m³/kg.K)
T = 441.7 K
Therefore, the temperature of the steam is 441.7 K.
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Which inequality describes this scenario?
Choose 1 answer:
Choose 1 answer:
(Choice A)
2. 75
+
S
≤
55
2. 75+S≤552, point, 75, plus, S, is less than or equal to, 55
A
2. 75
+
S
≤
55
2. 75+S≤552, point, 75, plus, S, is less than or equal to, 55
(Choice B)
2. 75
+
S
≥
55
2. 75+S≥552, point, 75, plus, S, is greater than or equal to, 55
B
2. 75
+
S
≥
55
2. 75+S≥552, point, 75, plus, S, is greater than or equal to, 55
(Choice C)
2. 75
+
11. 50
S
≤
55
2. 75+11. 50S≤552, point, 75, plus, 11, point, 50, S, is less than or equal to, 55
C
2. 75
+
11. 50
S
≤
55
2. 75+11. 50S≤552, point, 75, plus, 11, point, 50, S, is less than or equal to, 55
(Choice D)
2. 75
+
11. 50
S
≥
55
2. 75+11. 50S≥552, point, 75, plus, 11, point, 50, S, is greater than or equal to, 55
D
2. 75
+
11. 50
S
≥
55
2. 75+11. 50S≥55
Answers
The inequality that describes this scenario is 75 + 11.50S ≥ 55. This inequality represents a situation where someone has an initial balance of 75 dollars and is earning 11.50 dollars per hour of work.
The inequality states that the total earnings must be greater than or equal to 55 dollars. In other words, the person needs to work a certain number of hours to earn enough money to meet the 55-dollar requirement. This inequality can be solved for S (the number of hours worked) by subtracting 75 from both sides and dividing by 11.50. This would give the minimum number of hours required to meet the 55-dollar requirement. Overall, this inequality provides a clear guideline for the minimum amount of work needed to meet a specific financial goal.
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The perimeter of a rectangle is 56 feet. What are the dimensions of the rectangle with maximum area?
Answers
Answer:
A rectangle is a 2-dimensional geometrical shape formed by four perpendicular sides. Out of four sides, two sides are unique, and the other two sides are similar to the unique sides. These two unique sides are the dimensions of a rectangle.
Step-by-step explanation:
A rectangle is a 2-dimensional geometrical shape formed by four perpendicular sides. Out of four sides, two sides are unique, and the other two sides are similar to the unique sides. These two unique sides are the dimensions of a rectangle.
Lily has walked 2 miles. Her goal is to walk 6 miles. Lily plans to reach her goal by walking 3 miles each hour h for the rest of her walk. Write an equation to find the number of hours it will take Lily to reach her goal.
Answers
Answer: \(1\dfrac13\) hours
Step-by-step explanation:
Lily's goal to walk = 6 miles
Lily has walked 2 miles.
Let h= number of hours it will take Lily to reach her goal.
She walk 3 miles an hour.
Total miles she can walk in h hour = 3h
According to the question,
\(3h +2 = 6\) (Required equation)
Subtract 2 from both sides , we get
\(3h = 4\)
Divide both sides by 3 , we get
\(h=\dfrac43=1\dfrac{1}{3}\)
Hence, it will take \(1\dfrac13\) hours to reach her goal.
The equation to find the number of hours it will take Lily to reach her goal is (2 + 3h = 6) and this can be determined by using the given data.
Given :
Lily has walked 2 miles. Her goal is to walk 6 miles. Lily plans to reach her goal by walking 3 miles each hour h for the rest of her walk.The following steps can be used in order to determine the equation to find the number of hours it will take Lily to reach her goal:
Step 1 - The linear equation can be formed in order to determine the number of hours it will take Lily to reach her goal.
Step 2 - Let the number of hours be 'h'.
Step 3 - So, the linear equation that represents the given situation is given below:
2 + 3h = 6
Step 4 - Simplify the above equation in order to determine the value of 'h'.
3h = 4
h = 4/3 hours
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974 divided 0.379=?
round the answer to the nearest whole number
Answers
Answer:
2570.
Step-by-step explanation:
974 / 0.379
= 2569.92084433
= 2570 (rounded to the nearest whole number)
Hope this helped!
Answer:
947÷0.379=2.498 to the nearest whole number is 2
Step-by-step explanation:
since number from 0-4 will round down and the number at the back of point is needed to round to the neareat whole number
plzzzzzzzzzzzzzzaaaaaaaaaa
Answers
Answer:
A
Step-by-step explanation:
\(3x^2+5x+2=0\)
\(x=\dfrac{-5\pm \sqrt{5^2-4(2)(3)}}{6}=\dfrac{-5\pm 1}{6}=-\dfrac{2}{3}, -1\)
Therefore, the answer is choice A. Hope this helps!
a couple has four children. neither the father nor the mother is bald; one of the two sons is bald, but neither of the daughters is bald. (a) if one of the daughters marries a nonbald man and they have a son, what is the chance that the son will become bald as an adult? (b) if the couple has a daughter, what is the chance that she will become bald as an adult?
Answers
If one of the daughters marries a non-bald man and they have a son, the chance that the son will become bald as an adult is 0%
If the couple has a daughter, the chance that she will become bald as an adult is 0%
In the question, we have been given that the neither the father nor the mother is bald, and out of the four children only one son is bald, but the other son and the two daughters are not bald, now we solve the following:
Part a
A chance that the son will become bald as an adult:
If the daughter has no bald gene (XX), and she marries a non bald man then there is 0% chance that the son will become bald as an adult because neither the mom nor the dad has the baldness gene
Part b
The chance that she will become bald as an adult:
If the daughter having a bald gene (\(X^{b} X\)) marries a non bald (XY)man then also there is a 0% chance that the daughter will be bald as an adult. As the baldness is a recessive trait, for the daughter to be bald she needs to have two baldness gene( one from father and one from mother). And since this is not the case the daughter might have baldness gene but the phenotype will be non-bald.
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An expression is shown below.
−(2x−1)(3x+4)
Drag and drop numbers into the boxes to make the expression below equal to the expression above.
Answers
For a GLM with canonical link function, explain how the likelihood equations imply that the residual vector e-(y-?) is orthogonal with C(X).
Answers
The resulting score equations imply that the residual vector e = y - û is orthogonal to the column space of X, indicating that the residuals are uncorrelated with the predictors.
In a generalized linear model (GLM) with a canonical link function, the likelihood function can be written as:
L(β) = ∏[f(yi; μi)]^wi
where β is the vector of regression coefficients, yi is the observed response for the ith observation, μi is the corresponding mean response, wi is the weight associated with the ith observation, and f is the probability density function of the response distribution.
The maximum likelihood estimates of the regression coefficients can be obtained by solving the score equations, which are given by:
XᵀW(y-μ) = 0
where X is the design matrix of the model, W is a diagonal matrix of the weights, and μ is the vector of mean responses, which are related to the linear predictor by the link function.
Let e = y - û be the vector of residuals, where û = Xβ is the vector of fitted means. Then, we can rewrite the score equations as:
XᵀWe = XᵀW(y-û) = XᵀW(y-Xβ) = XᵀW(y-X(XᵀWX)^(-1)XᵀW y) = 0
where we have used the fact that X(XᵀWX)^(-1)XᵀWX = XᵀWX and X(XᵀWX)^(-1)XᵀW = I, where I is the identity matrix.
This implies that XᵀWe = 0, which means that the residual vector e is orthogonal to the column space of X. In other words, the residuals are uncorrelated with the predictors, which is a desirable property of the model.
This result can be interpreted geometrically as follows: the residual vector e lies in the orthogonal complement of the column space of X, which is the space spanned by the null space of Xᵀ. Therefore, the projection of e onto the column space of X is zero, which means that the residuals do not contain any information about the predictors that is not already captured by the fitted means.
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The give question is incomplete, the complete question is:
For a GLM with canonical link function, explain how the likelihood equations imply that the residual vector e = y – û is orthogonal to the column space of X. Here, y and û denote the vectors of the observed responses and the fitted means, respectively.
Rewrite the following as a product of trigonometric functions:sin 3° + sin 37°
Answers
Recall the following sum-to-product formulas of trigonometric function
\(\sin \alpha+\sin \beta=2\sin \mleft(\dfrac{\alpha+\beta}{2}\mright)\cos \mleft(\dfrac{\alpha−\beta}{2}\mright)\)Given the sum
\(\begin{gathered} \sin 3\degree+\sin 37\degree \\ \\ \alpha=3\degree \\ \beta=37\degree \end{gathered}\)Then the product is
\(\begin{gathered} \sin 3\degree+\sin 37\degree=2\sin \mleft(\dfrac{3\degree+37\degree}{2}\mright)\cos \mleft(\dfrac{3\degree-37\degree}{2}\mright) \\ \\ \text{Simplifying we get} \\ \sin 3\degree+\sin 37\degree=2\sin \Big{(}\dfrac{40\degree}{2}\Big{)}\cos \Big(\dfrac{-34\degree}{2}\Big) \\ \sin 3\degree+\sin 37\degree=2\sin (20\degree)\cos (-17\degree) \end{gathered}\)Suppose that 10 years ago you bought a home for $110,000, paying 10% as a down payment, and financing the rest at 9% interest for 30 years. Knowing also This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $88,536 left to pay on your loan. Your house is now valued at $160,000.
How much interest have you paid so far (over the last 10 years)?
and How much interest will you pay over the life of the new loan?
Answers
The amount of interest paid so far (over the last 10 years) is $78,636 and the amount of interest you will pay over the life of the new loan is $99,999.17.
In order to find out how much interest has been paid so far, we need to find out how much the initial loan was. The down payment made on the home was 10%, so:
Down payment = 10% of $110,000
Down payment = 0.10 × $110,000 = $11,000
So the initial loan was the difference between the price of the home and the down payment:
Initial loan = $110,000 - $11,000
Initial loan = $99,000
Now we can use the loan balance and the initial loan to find out how much of the loan has been paid off in 10 years:
Amount paid off so far = Initial loan - Loan balance
Amount paid off so far = $99,000 - $88,536
Amount paid off so far = $10,464
Now we can find out what percentage of the initial loan that is:
Percent paid off so far = (Amount paid off so far / Initial loan) × 100
Percent paid off so far = ($10,464 / $99,000) × 100
Percent paid off so far = 10.56%
So the amount of interest paid so far is the total payments made minus the amount paid off:
Interest paid so far = Total payments - Amount paid off
Interest paid so far = ($99,000 × 0.09 × 10) - $10,464
Interest paid so far = $89,100 - $10,464
Interest paid so far = $78,636
So the interest paid so far is $78,636.
The life of the new loan is the remaining 20 years of the original 30-year loan. The interest rate is still 9%. To find out how much interest will be paid over the life of the new loan, we can use an online loan calculator or a spreadsheet program like Microsoft Excel.
Using an online loan calculator with a loan amount of $88,536, a term of 20 years, and an interest rate of 9%, we get the following result:
Total payments over life of loan = $188,535.17
Principal paid over life of loan = $88,536.00
Interest paid over life of loan = $99,999.17
So the interest paid over the life of the new loan is $99,999.17.
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Enter the equation of the circle described below.
Center (-3,0), radius = sqrt5
Answers
Answer: \((x+3)^{2}+y^{2}=5\)
you deposit $500 in an account that pays 5% annual interest compound continuously what is the balance after 3 years
Answers
Answer:
So I= p x r/100 x t
= 500 x 5/100 x 3
= 25 x 3
$75 interest
Balnce will be $575
Iq scores are known to be normally distributed. the mean iq score is 100 and the standard deviation is 15. what percent of the population has an iq over 115?
Answers
The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115
According to the statement
we have to find that the what percent of the population has an iq over 115.
And from given information,
the mean iq score is 100 and the standard deviation is 15.
And
Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
And by use of this formula, we find the percentage of the population has an iq over 115.
Then the result will comes as 100%.
hence, 100%-Norm.Dist(value,mean,sd,true)
So, The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115.
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I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?
Answers
The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).
Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.
Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).
Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).
Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).
To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.
(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)
Expanding this expression, you get:
(0+a+b, 1+a+b, 0+a, 0+b)
Simplifying, you obtain the following set of solutions:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Therefore, the correct set of possible results would be:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.
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Plsss help I’ll give u brainlest and 10 points number 13 pls
Answers
Answer:
A
Step-by-step explanation:
I added 6.5 to the equation, found the mean, and it was 3.5.
The Peace and Development Club raised $5000 for a trip to Guatemala in the future. The club invested part of the money in an account that paid 4% simple interest, and the rest in a government bond that paid 3.5% simple interest per year. After one year, the club earned a total of $190 in interest. How much was invested at each rate?
Answers
Answer:
In the 4% interest account, $3,000 was invested while in the 3.5% interest account, $2,000 was invested
Step-by-step explanation:
Here, we want to know the amount of money invested in each of the two accounts.
Let the amount invested be $x and $y for each of the two accounts
Since the total invested is $5,000
Mathematically;
x + y = 5000 •••••••(i)
Let’s now work with the interest
for the 4% account, interest will be;
4/100 * x = 4x/100
For the 3.5% account, interest will be;
3.5/100 * y = 3.5y/100
The total amount of interest earned is $190
Thus;
4x/100 + 3.5y/100 = 190
Multiply through by 100
4x + 3.5y = 19000 •••••••(ii)
So we have two equations to solve simultaneously
From i, x = 5000-y
Substitute this into ii
4(5000-y) + 3.5y = 19000
20000-4y + 3.5y = 19000
0.5y = 20,000-19,000
0.5y = 1,000
y = 1,000/0.5
y = $2,000
x = 5,000 - y = 5,000 - 2,000 = $3,000