Answer:
C
Step-by-step explanation:
 HELP PLEASE!
16 people fill 1/4 of a bus, how many full 1 bus
Answer:
64 people
Step-by-step explanation:
if 1/4 of a bus is 16, do 16x4 and u will get 64
what is the difference between the multiplication rule for independent event and the general multiplication rule
Unsurprisingly, the general rule can be applied more broadly than the specific rule, which is the difference between the two. The specific rule is only applicable to dependent events; it applies to both independent and dependent events.
What is the main rule for multiplying?
Multiplication Rule The likelihood that both events A and B will occur if events A and B originate from the same sample space is equal to the probability that A will occur times the probability that B will occur provided that A has already occurred.
What is the rule for multiplying independent events?
The multiplication rule for independent events is the sixth rule of probability. P(A and B) = P(A) * P if A and B are two INDEPENDENT events (B).
P(A and B) = P(A) * P(B) is a special multiplication rule that is only applicable when the two occurrences are independent of one another. To put it another way, it only functions if the probability of one occurrence does not change for the other.
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what can we conclude about the endogeneity of an explanatory variable if the ols and 2sls estimates are significantly different? assume that the instrument used was exogenous.
Note that assuming that the instrument used was exogenous, one can conclude about the endogeneity of an explanatory variable if the OLS and 2SLS estimates are significantly different: "The explanatory variable is endogenous and therefore 2SLS should be considered." (Option C)
What is 2SLS?Two-stage least squares (2SLS) regression analysis is a statistical approach used in structural equation analysis. The OLS approach has been extended using this methodology. It is employed when the error terms of the dependent variable are associated with the independent variables.
The ordinary least squares (OLS) approach is a linear regression methodology used to estimate a model's unknown parameters. The strategy is based on reducing the sum of squared residuals between the expected and actual values.
2SLS is utilized as an alternate strategy when we encounter endogeneity Problems in OLS. Endogeneity arises when the explanatory variable correlates with the error word. Then we utilize 2SLS, which employs an instrumental variable. The outcome will be different because if there is endogeneity in the model, OLS will produce biased results.
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Full Question:
What can we conclude about the endogeneity of an explanatory variable if the OLS and 2SLS estimates are significantly different? Assume that the instrument used was exogenous. Select one:
a. The explanatory variable is not endogenous and therefore using 2SLS is ill-advised.
b. The explanatory variable is not endogenous and therefore OLS should not be used.
c. The explanatory variable is endogenous and therefore using 2SLS should be considered.
d. The explanatory variable is endogenous and therefore OLS should be used.
PLS HELP !! I WILL MARK BRAINLIEST!!!
Question
.........
The number of bacteria in a Petri dish quadruples every hour. How many bacteria are in the dish after 5 hours if there were originally 10 bacteria?
please help ASAP!! I really need help!! thanks and god bless!
(02.03) Figure ABC is reflected about the x-axis to obtain figure A′B′C′: Triangle ABC is located on the coordinate plane with vertex A at negative 5 comma 4, vertex B at negative 2 comma 4, and vertex C at negative 4 comma 1. Triangle A prime B prime C prime is located with vertex A prime at negative 5 comma negative 4, vertex B prime at negative 2 comma negative 4, and vertex C prime at negative 4 comma negative 1. Which statement best describes the relationship between the two figures? (4 points) Figure ABC is bigger than figure A′B′C′. The measure of angle A is equal to the measure of angle B′. The measure of angle C is equal to the measure of angle B′. Figure ABC is congruent to figure A′B′C′.
Answer:
Figure ABC is congruent to figure A’B’C’.
Step-by-step explanation:
Any figure transformed by a rigid transformation is congruent
Consider the PDE au(x, t) = 4 d²u(x, t) 2 Ət əx² For each of BCs and ICs, solve the initial value problem. du(π,t) a) BCs: u(0,t)=0 = = 0 and əx IC: u(x,0) = x ANSWER: f(x)= n=1 u(2,t) = 0 and u(0,t)=0 u(x,0)=sin x ANSWER: f(x)=¹1_sin(2 + nx) na n=1 1+ 2 X b) BCs: IC: 8 (2n-1) T n+1 (-1)041 -4(2n-1)²t sin(2-nπ) nπ 1- 2 e sin (2n-1) 2 na sin X 2 -(nn)²t x -X
the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.
The given partial differential equation is:
au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)
a) BCs (Boundary Conditions):
We have u(0, t) = 0 and u(π, t) = 0.
IC (Initial Condition):
We have u(x, 0) = x.
To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.
The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:
X(x) * T'(t) = 4 * X''(x) * T(t) / a
Dividing both sides by X(x) * T(t) gives:
T'(t) / T(t) = 4 * X''(x) / (a * X(x))
Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².
T'(t) / T(t) = -λ²
X''(x) / X(x) = -λ² * (a / 4)
Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.
Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.
Now, applying the boundary conditions:
1) u(0, t) = 0:
Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.
2) u(π, t) = 0:
Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.
Now, let's find the expression for u(x, t) using the initial condition:
u(x, 0) = X(x) * T(0) = x
Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:
C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x
This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.
Therefore, the solution for the initial value problem is:
u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)
where λ = ± sqrt(-4n² / a), and n is a non-zero integer.
Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.
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write the equation of the line passing through the points (-4,-1) and (2,8). Show all of your work.
the general equation of the lines is
\(y=mx+b\)where m is the slope and b the y-intercept
• calculating the slope
\(\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ \end{gathered}\)where (x2,y2) is a right point from (x1,y1)
on this case (x2,y2) is (2,8) and (x1,y1) the other point
replacing
\(\begin{gathered} m=\frac{8-(-1)}{2-(-4)} \\ \\ m=\frac{9}{6}=\frac{3}{2} \end{gathered}\)the slope is 3/2
• Calculating b
replace m and a point to solve b from the general equation. I will use the point (2,8)
\(\begin{gathered} (8)=(\frac{3}{2})(2)+b \\ 8=3+b \\ b=8-3 \\ b=5 \end{gathered}\)• rewriting the equation
replace m and b on the general equation
\(y=\frac{3}{2}x+5\)PLZ HELP
The coordinates of the vertices of quadrilateral ABCD are A(–5, –1), B(–1, –1), C(–1, 4), and D(–5, 6). The quadrilateral is reflected about the y-axis and the coordinates of A' are A'(5, –1).
Answer:
do u need other coordinates?
if so B'(1,-1)
C'(1,4)
D'(5,6)
the formula is (-x,y)
hope it helps :)
Answer: D is 5,6
Step-by-step explanation:
someone pls answer this for me
Answer:
34
Step-by-step explanation:
8 1/2 x 4
Determine the answers for each division problem (you can draw on the questions if you wish). Write your answer in the simplest form you know.
I have 12 dollars and i wanna buy candies with them. 1 candy is 2/3 dollars, how many candies i can buy?
Answer: 18 candies
Rob spends 1/2 of his earnings this weeks on bills and then buys a video game for $25. 75. How many much of his earnings from this week does rob have left?
Rob has (1/2) * x - $25.75 of his earnings left from this week. This is obtained by subtracting the amount spent on bills and the cost of the video game from his total earnings.
To find out how much of his earnings Rob has left, we need to calculate the portion he spent and subtract it from his total earnings.
Given that Rob spends 1/2 of his earnings on bills, he has 1 - 1/2 = 1/2 of his earnings remaining.
If Rob buys a video game for $25.75, we can subtract this amount from his remaining earnings.
Let's say Rob's total earnings for the week were x dollars.
Amount spent on bills: (1/2) * x
Amount spent on the video game: $25.75
Remaining earnings: x - [(1/2) * x + $25.75]
Simplifying the expression, we have:
Remaining earnings: x - (1/2) * x - $25.75
Remaining earnings: (1/2) * x - $25.75
So, Rob has (1/2) * x - $25.75 of his earnings left from this week.
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The diameter of a circle is 16 cm. Find its area in terms of Pi
Answer:
A= 201.06
Step-by-step explanation:
A=πr^2
d=2r
Input the information into those formulas. Im honestly not sure if thats the right answer but its better than nothing.
Find the complex conjugate of the given number.
-4 + 8i
Answer:
-4 - 8i
Step-by-step explanation:
The complex conjugate of -4 + 8i=-4 - 8i
What are the values of x and y? *
Pls help!
Answer:
x = 8
y = 12
Step-by-step explanation:
m∠A = sin⁻¹(9/15) = 36.87⁰
cos36.87 = y/15
y = 15(cos36.87) = 12
sin36.87 = 12/(12+x)
12 + x = 12/(sin36.87)
x = 12/(sin36.87) - 12 = 8
I need help
An amount of $16,000 is borrowed for 8 years at 7.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Answer:
$28009.05
Step-by-step explanation:
Let us use the formula A = P(1 + r/n)^(nt)
Step 1: Convert 7.25 to decimal
\(7.25\% = 0.0725\) in decimal form
Step 1: Percent means 'per 100'. So, 7.25% means 7.25 per 100 or simply 7.25 over 100. \(7.25 \div 100\\\\= \frac{7.25}{100}\\\\= 0.0725\) If you divide 7.25 by 100, you'll get 0.0725 (a decimal number).Step 2: Solve with the formula
\(A = 16000(1 + 0.0725)^8\\\\A= 28009.05\)
Step 1: Add the numbers: \(1+0.0725=1.0725\)\(=16000\cdot \:1.0725^8\)\(=16000\cdot \:1.75056\)Step2: Multiply\(=28009.05068\)Can someone help me ASAP!
Answer:
C
Step-by-step explanation:
CAUSE ITS C
There are 1,120 calories in 5 servings of Anna’s favorite dessert. If Anna eats a single serving of the dessert, how many calories will she eat?
224 calories
112 calories
280 calories
225 calories
Answer: 224 calories ==> 1st option
Step-by-step explanation:
1 serving * 1,120 calories/ 5 servings=
1*1120/5=
1*224=224 calories ==> 1st option
Answer:
Step-by-step explanation:
224 calories I think
An item sells for $75 and is on sale for 35% off. The sales tax is 9.8%. What is the final cost of the item?
The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.
The given problem is related to percentage discounts and sales tax and can be solved using the following steps:
Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25
Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75
Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79
Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.
Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54
Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!
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A machine sales person earns a base salary of $40,000 plus a commission of $300 for every machine he sells. How much income will the sales person earn if they sell 50 machines per year?
Answer:
He will make 55,000 dollars a year
Step-by-step explanation:
\(300\) × \(50 = 15000\)
\(15000 + 40000 = 55000\)
Chloe bought an equal number of forks and spoons for a party. The forks were sold at 3 for 2$ and the spoons were sold at 4 for 3$. She spent 5$ more on spoons than on forks. How much did she spend altogether?
60 forks 60÷3=$20
60 spoons 60÷4=$15
$20+$15=$35 total spent for forks and spoons
Jerry has 40 trading cards 1/4 of them are baseball cards 1/10 of them are football cards and the rest are basketball cards . how many more basketball cards than baseball are there
40 trading cards
baseball cards
\(40\cdot\frac{1}{4}=10\)10 baseball cards
football cards
\(40\cdot\frac{1}{10}=4\)4 football cards
basketball cards
40- 10-4 =26
how many more basketball cards than baseball are there ?
basketball cards - baseball cards = 26-10 = 16
there are 16 cards more basketball cards than baseball cards
suppose that a current recipe yields 30 servings (2 ounces each) and the desired recipe yields 30 servings (5 ounces each). what is the recipe conversion factor?\
Conversion factor \(= \frac{final serving}{initialserving}\)\(=\frac{5}{2} =2.5\)
The recipe conversion factor is 2.5
If every horizontal line intersects the graph of a function at no more than one point, f is a(n) ____ function
Okay, here we have this:
Considering that a function is one-to-one if there are no two elements in the domain of f they correspond to the same element in the range of f.
According with this we obtain that the correct answer is one-to-one function.
25. critical thinking look at the start up problem for this lesson. assume
that sarah feels that she must have a monthly gross pay of at least $3,750 to
meet her expenses. what advice would you give to sarah about the choices she
might need to make?
Sarah should carefully analyze her expenses, potential earnings, job security, and personal goals before making a decision.
Based on the startup problem, Sarah is considering two job offers. Job A offers a fixed monthly salary of $2,500, while Job B offers a base salary of $1,800 plus a 6% commission on her total sales. To meet her expenses, Sarah feels that she must have a monthly gross pay of at least $3,750.
Given this situation, here is some advice for Sarah:
1. Evaluate Expenses: Sarah should thoroughly evaluate her monthly expenses to understand where her money goes. It's essential to know her fixed expenses (rent, utilities, insurance) as well as variable expenses (groceries, entertainment) to have a clear picture of her financial needs.
2. Consider Job B with Commissions: If Sarah has a strong sales background or believes she can generate significant sales, she should consider Job B with the base salary of $1,800 and a commission of 6% on her total sales. If she can achieve high sales numbers, she might exceed the $3,750 monthly gross pay requirement.
3. Calculate Potential Earnings: Sarah should calculate her potential earnings for Job B based on her sales projections. By estimating the amount of sales she can generate and applying the 6% commission, she can see if she meets or exceeds the minimum gross pay of $3,750.
4. Job Security and Stability: Job A offers a fixed monthly salary of $2,500, which provides a sense of stability and predictability. If Sarah values job security and is uncertain about her sales performance, Job A might be a safer choice.
5. Negotiate: If Sarah is keen on Job B but feels the base salary is too low, she can try negotiating with the employer for a higher base salary or a better commission rate. Negotiation can help align the compensation with her financial needs.
6. Personal Goals: Besides financial considerations, Sarah should also think about her long-term career goals, job satisfaction, and work-life balance when making her decision. A job that aligns with her passion and career goals might be more fulfilling in the long run.
7. Emergency Savings: It's crucial for Sarah to have emergency savings to cover unexpected expenses. If possible, she should aim to dividing an emergency fund equivalent to several months' worth of expenses to provide a financial safety net.
In summary, Sarah should carefully analyze her expenses, potential earnings, job security, and personal goals before making a decision. It's essential to find a balance between financial stability and job satisfaction to ensure long-term success and well-being.
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what is x−10=4 pls help me
Answer:
Step-by-step explanation: 14 = x
Answer:
The answer to your question would be 14
Step-by-step explanation:
Simple equation
14 - 10 = 4
I hope this helps and have a wonderful day!
A builder wants to build the bridge whose cross section is shown in the diagram. Two companies offer simple bids on building the bridge according to the distance b and the number of I-beams. If the cross section could be redesigned for cost reasons in terms of b, what is the distance b for which the companies would have the same bid on the project?
EMPIRE DESIGN
BUILD-EM-UP CO.
Bid form
Bid form
Proposal:
Proposal:
$300,000b
$320,000b
$60,000 per I-beam
$40,000 per I-beam
The length of the bridge is the distance from the beginning to the end.
The distance b between each beam is 9ft.
Let:
\(I \to\) I-Beam
\(d_I \to\) distance between I beam and the bridge
\(b \to\) distance between each I beam
Given that:
\(I = \frac 34 ft\\\)
\(d_I = 3 ft\)
\(Length = 55ft\ 6in\) --- length of the bridge
From the diagram (see attachment), there are: 6 I-beams.
So, the length of the 6 I-beams is:
\(L_1 = 6 \times I\)
\(L_1 = 6 \times \frac 34\)
\(L_1 = \frac {18}4\)
\(L_1 = 4.5ft\)
There are 2 I-beams beside the bridge
So, the distance between the 2 I-beams and the bridge is:
\(d_1 =2 \times d_I\)
\(d_1 =2 \times 3ft\)
\(d_1 =6ft\)
There are 5 spaces between the I-beams
So, the length of the total spaces is:
\(L_2 = 5 \times b\)
\(L_2 = 5b\)
The total length is:
\(Length = L_1 + d_1 + L_2\)
So, we have:
\(4.5ft + 6ft + 5b = 55ft\ 6in\)
Collect like terms
\(5b = 55ft\ 6in - 4.5ft - 6ft\)
\(5b = 44.5ft\ 6in\)
Convert inches to feet
\(5b = 44.5ft\ + \frac{6}{12}ft\)
\(5b = 44.5ft\ + 0.5ft\)
\(5b = 45ft\)
Divide both sides by 5
\(b = 9ft\)
Hence, the distance (b) between each beam is 9ft.
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Find the sum of the first 39 terms of the following series, to the nearest integer
7,15,23,...
Answer:
6201
Step-by-step explanation:
formula for series in AP
where n is the nth term and a is first term and d is difference between two terms in series \(sum = \frac{n}{2} (2a \: + (n - 1)d)\)
Solve the quadratic equation for x. What is one of the roots? 3x2 − 14x − 5 = 0
A) −3
B) −5
C) − 1 3
D) 3
Answer:
b: -5
Step-by-step explanation:
To solve the equation, factor the left hand side by grouping. First, left hand side needs to be rewritten as 3x
2
+ax+bx−5. To find a and b, set up a system to be solved.
a+b=14
ab=3(−5)=−15
Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −15.
−1,15
−3,5
Calculate the sum for each pair.
−1+15=14
−3+5=2
The solution is the pair that gives sum 14.
a=−1
b=15
Rewrite 3x
2
+14x−5 as (3x
2
−x)+(15x−5).
(3x
2
−x)+(15x−5)
Factor out x in the first and 5 in the second group.
x(3x−1)+5(3x−1)
Factor out common term 3x−1 by using distributive property.
(3x−1)(x+5)
To find equation solutions, solve 3x−1=0 and x+5=0.
x=
3
1
x=−5
(a) In a class of 40 students, 22 pass Mathematics test, 18 pass English test and 12 pass both subjects. A student is randomly chosen from the class, find the probability that the student (i) passes the Mathematics test but not the English test; ( 2 marks) (ii) passes the test of one subject only; (iii) fails the tests of both Mathematics and English.
Probability that the student passes Mathematics test but not English testP(M but not E) = \(P(M) – P(M ∩ E) P(E)P(M) =\)probability that a student passes Mathematics testP(E) = probability that a student passes English test
\(P(M ∩ E) =\)probability
that a student passes both Mathematics and English test
\(P(M) = 22/40P(E) = 18/40P(M ∩ E) = 12/40= 11/40\)
(ii) Probability that the student passes one subject onlyProbability that the student passes Mathematics only \(= 22 – 12 = 10\)studentsProbability that the student passes English only
\(= 18 – 12 = 6\)students Total number of students who pass
one subject only = 10 + 6 = 16 studentsP(passes one subject only) \(= 16/40= 2/5\)(iii) Probability that the student fails both Mathematics and English test Probability that the student fails both Mathematics and English
The probability that the student passes one subject only is 2/5, and the probability that the student fails the tests of both Mathematics and English is 3/10.
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A new and improved snack has 22% fewer calories than it had before. If the old version had 200 calories, how many calories does the new snack have?
Answer:
156
Step-by-step explanation:
200 minus 22 percent is 44.
200 minus 44 is 156.
Therefore the reduced version has 156 calories.
The new snack has 156 calories.
To find the number of calories in the new snack, we can start by calculating the 22% reduction in calories compared to the old version.
The old version of the snack has 200 calories.
To determine the reduction, we calculate 22% of 200 calories:
22% of 200 = (22/100) * 200 = 0.22 * 200 = 44 calories.
This means that the new snack has 44 fewer calories than the old version.
To find the number of calories in the new snack, we subtract the reduction from the old version's calories:
200 calories - 44 calories = 156 calories.
Therefore, the new snack has 156 calories.
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