Answer:
she attended 25 classes
Step-by-step explanation:
when you do this you subtract the annual fee of $100 from the total payment $225 which leaves you with $125 then you divide it by The fee for each class Which is $5 so you get 25 classes
Answer:
50
Step-by-step explanation:
lan earns 2/3
as much as Jill. His yearly income is $38,000. How much does Jill earn?
Pls answer asap! Worth 15 points!!
Answer:
Jill earns $57,000
Step-by-step explanation:
Mark as Brainliest
Fractions help please??
Answer:
3/4
Step-by-step explanation:
an someone tell me the steps in solving 5b - 6 = 24?
Find the equation of a line that passes through the point (3,-1) and has a
gradient of 1/3
Leave your answer in the form y=mx + c
Answer: y=-4x/9 + 1/3
Step-by-step explanation:
y=mx + c
**Substitute known variables into the equation**
-1=3m + 1/3
(-1=3m + 1/3)*3 ==> Multiply equation by 3 to get rid of fractions
-3=9m+1
9m=-4
m=-4/9
y=-4x/9 + 1/3
if i offered to bet you a tasty beverage that i could toss a coin ten times and produce a sequence of heads and tails that has less than a 1 in 1000 chance of occurring, should you take the bet? why?
If I offered to bet you a tasty beverage that I could toss a coin ten times and produce a sequence of heads and tails that has less than a 1 in 1000 chance of occurring, your chances of winning the bet is 0.99902.
If the coin is fair, the likelihood of getting a head or a tail in a coin toss is equal.
P(H) = P(T)
P(H) = 0.5
The coin has now been tossed ten times.
The probability of receiving 10 heads or 10 tails is binomial and equal.
P(X=10) = \(^{10}\textrm{C}_{10}\) · (0.5)¹⁰ · (1-0.5)⁰
P(X=10) = \(\frac{10!}{10!(10-10)!}\) · 0.00098 · (0.5)⁰
P(X=10) = \(\frac{10!}{10!0!}\) · 0.00098 · 1
P(X=10) = 0.00098
P(X=10) = 0.00098
You win the bet if the dealer does not now deliver a string of 10 heads.
As a result, your chances of winning the wager are 1 - 0.00098 = 0.99902. This is quite high, thus you ought to accept the wager.
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Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?
Answer:
all 3 options are true : A, B, C
Step-by-step explanation:
warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.
they say that A and C are correct.
but I am going to show you that if A and C are correct, then also B must be correct.
therefore, my given answer above is the actual correct answer (no matter what the test systems say).
originally the information about the alignment of the point F in relation to point E was missing.
therefore, I considered both options :
1. F is on the same vertical line as E.
2. F is not on the same vertical line as E.
because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :
the vertical line of EF is like a mirror between the left and the right half of the picture.
A is mirrored across the vertical line resulting in B. and vice versa.
the same for C and D.
this leads to the effect that all 3 given congruence relationships are true.
if we consider assumption 2, none of the 3 answer options could be true.
but if the assumptions are true, then all 3 options have to be true.
now, for the "why" :
remember what congruence means :
both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.
for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.
so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.
therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.
but do you notice something ?
both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.
now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.
therefore, AC must be equal to BD.
and that means that AC is congruent to BD.
because lines have no other congruent criteria - only the lengths must be identical.
(01.06) Select the choice that translates the following verbal phrase correctly to an algebraic expression: the sum of y and 7
Answer:
y+7
Step-by-step explanation:
Sum is referring to addition, and the 2 parts would be y and 7, so the answer is y+7
Which addition expression is equivalent to 9-(-5)
Answer:
12 x y + 4 x
Step-by-step explanation:
The answer is 9+5
If you subtract a positive number to a negative number the negative signs cancel out and you are left with 9+5
Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.
Answer:
(1) TRUE.
(2) FALSE.
(3) FALSE.
(4) TRUE.
(5) FALSE.
Step-by-step explanation:
(1) \(\sqrt{32} = 2^{\frac{5}{2} }\)
\(2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}\)
Thus, the equation is TRUE.
(2) \(16^{\frac{3}{8} } = 8^2\)
\(16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64\)
Thus, the equation is FALSE.
(3) \(4^{\frac{1}{2} } = \sqrt[4]{64}\)
\(4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}\)
Thus, the equation is FALSE.
(4) \(2^8 = (\sqrt[3]{16} )^6\)
\(2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256\)
Thus, the equation is TRUE.
(5) \((\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\\)
\(8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4\)
Thus, the equation is FALSE.
Pearson's product-moment correlation coefficient is represented by the following letter.
Group of answer choices
r
p
t
z
The letter used to represent Pearson's product-moment correlation coefficient is "r".
This coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no linear correlation.
To calculate Pearson's correlation coefficient, we first standardize the variables by subtracting their means and dividing by their standard deviations. Then, we calculate the product of the standardized values for each pair of corresponding data points. The sum of these products is divided by the product of the standard deviations of the two variables. The resulting value is the correlation coefficient "r".
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The logarithm form of 5^3 =125 is equal to
a. log5 125 = 3 b. log5 125 = 5
c. log3 125 = 5 d. log5 3 = 3
The correct logarithm form is: a. log5 125 = 3
Question is about finding the logarithm form of 5³ = 125 using the given options.
The correct logarithm form is:
a. log5 125 = 3
Here's the step-by-step explanation:
1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.
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(150pts) given a well-balanced algebraic expression (all parentheses given). construct a corresponding expression syntax tree. (all number or id single digit or letter assumed) you may use stack, infixtopostfix, and other programs from lecture 8. get an infix expression. convert it to postfix. then, use postfix to build an evaluation tree. after that, perform infix traversal
The expressiοn syntax tree fοr the given well-balanced algebraic expressiοn is cοnstructed.
How to make a syntax tree?Let's gο thrοugh the steps tο cοnstruct an expressiοn syntax tree fοr a given well-balanced algebraic expressiοn. We'll use the stack, infix tο pοstfix, and pοstfix evaluatiοn tree cοnstructiοn techniques.
Let's assume we have the fοllοwing well-balanced algebraic expressiοn:
((a+b)*(c-d))/e
Step 1: Infix tο Pοstfix Cοnversiοn
We'll cοnvert the given infix expressiοn tο pοstfix nοtatiοn using the stack.
Infix Expressiοn: ((a+b)*(c-d))/e
Pοstfix Expressiοn: ab+cd-*e/
Step 2: Cοnstructing the Pοstfix Evaluatiοn Tree
We'll use the pοstfix expressiοn tο build the evaluatiοn tree. Each οperand and οperatοr will be represented as a nοde, and the οperands will be the children οf the οperatοr nοdes.
Pοstfix Expressiοn: ab+cd-*e/
Step 3: Infix Traversal
We'll perfοrm an infix traversal οf the evaluatiοn tree tο οbtain the expressiοn in infix nοtatiοn.
Infix Traversal: ((a+b)*(c-d))/e
Sο, the expressiοn syntax tree fοr the given well-balanced algebraic expressiοn is cοnstructed.
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Question Content Area
Net Present Value
A project has estimated annual net cash flows of $15,000 for ten
years and is estimated to cost $47,500. Assume a minimum acceptable
rate of return of 20%. Use
The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.
Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.
Net Present Value = 150000 / (1 + 0.20)^10 - 47500
Net Present Value = $67,482.22
Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.
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Joie buys lunch at a local café for $8.60. If she leaves a 15% tip, how much does she spend at the café?
Answer:
$9.89
Step-by-step explanation:
1. Divide 15 from 100, which leaves you with 0.15%.
2. Multiply 8.60 and .15; that will get you 1.29.
3. Finally, add 1.29 to 8.60 to get your answer!
im need help please!!!
Answer:
The measure of the missing angle is 61
Step-by-step explanation:
Using the Consecutive Interior Angles theorem, you know that the angles are supplementary (meaning both angles combine to a 180* plane). Using that logic, you may subtract 119 from 180, and you get a 61* angle.
In mrs. Wilson’s math class, the ratio of girls to boys is 5 to 8. If there are 24 total students, how many boys are in the class
carl's car wash takes a constant time of 4.5 minutes in its automated car wash cycle. autos arrive following a poisson distribution at the rate of 10 per hour. carl wants to know:
Based on the given information, Carl's car wash takes a constant time of 4.5 minutes in its automated car wash cycle. Autos arrive following a Poisson distribution at the rate of 10 per hour. Using this information, Carl can calculate the expected time it would take to wash a car.
The first step is to calculate the average time between car arrivals, which is equal to 60 minutes divided by the arrival rate of 10 cars per hour, giving an average time of 6 minutes per car. Since the wash cycle time is constant at 4.5 minutes, Carl can add these two values together to get an expected wash time of 10.5 minutes per car.
However, it's important to note that this is just an expected time, and there may be variations due to factors such as queue length, equipment malfunctions, or other unforeseen circumstances. Therefore, Carl should regularly monitor his car wash operation and make adjustments as necessary to ensure efficient and consistent service.
In summary, Carl's car wash takes a constant time of 4.5 minutes in its automated car wash cycle, and with autos arriving at a rate of 10 per hour, the expected time it would take to wash a car is 10.5 minutes.
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Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3
Answer:
\(y=10x+24\)
Step-by-step explanation:
Find the derivative of the function
\(p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8\)
Determine the slope of p(t) at t=3:
\(p'(3)=6(3)-8=18-8=10\)
Find p(3):
\(p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6\)
Determine y-intercept:
\(y=mx+b\)
\(6=10(3)+b\)
\(6=30+b\)
\(-24=b\)
Final equation:
\(y=10x-24\)
What is -a^-2 if a=-5?
Answer:
-0.04ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
1/-25
Step-by-step explanation:
First we plug it in
-(-5)^-2
Then since the exponent is negative, we take the equation and put it under one which makes it a positive.
1/-(-5)^2
Then we solve the exponent
1/-(25)
Since it's a negative outside the parenthesis we treat it as multiplying it by -1 in which case we'd get
1/-25
Luis trabaja en Canadá por cada 15 dólares que gana envía 8 a su
Familia que vive en Zacatecas. La semana pasada ganó 300 dólares¿Cuanto
Dinero enviará a su familia?
Usando proporciones, hay que Luis enviará 160 dólares a su familia.
¿Qué es una proporción?Una proporción es una fracción de la cantidad total, y puede ser encontrada por intermedio de una regla de tres.
En este problema, la regla de tres es dada por:
15 dólares - 8 envíados
300 dólares - n envíados
Aplicando multiplicación cruzada:
15n = 300 x 8
n = (300 x 8)/15
n = 160
Luis enviará 160 dólares a su familia.
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Can someone answer my math?
Answer:
wlang mag sasagot yn HAHAH dapat para sagotan ni lolo 50pts ilagay mo HAHA
HELP WITH THIS EZ QUESTION
Answer:
89
Step-by-step explanation:
\(3+75t-16t^{2} =h\\\\\)
we evaluate when t=2
\(3+75(2)-16(2)^2=h\\\\3+150-64=h\\\\h=89\)
so it's 89 feet
Answer:
89
Step-by-step explanation:
JUST TRUST ME
HELP ITS URGENT!!!!! ONLY PEOPLE WHO WILL HELP!!! PLEASE I NEED HELP! 50 POINTS
Ansta c
es decir la pendiente es -1/3 y la intersección con el eje y es -2/5 segun mis calculoslanation:
Answer:not sure
Step-by-step explanation:
This was my bad place in mathe
Sarah took the advertising deparſment from her company on a round trip to meet with a potential client. Including Sarah a total of 11 people took the trip. She was
able to purchase coach tickets for $240 and first class tickets for $1100. She used her total budget for airfare for the trip, which was $6080. How many first class
tickets did she buy? How many coach tickets did she buy?
Answer:
Sarah bought 7 coach tickets and 4 first class tickets.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=11 (1)
240x+1100y=6080 (2), where:
x is the number of coach tickets
y is the number of first class tickets
In order to find the value of x and y, first you have to solve for x in (1):
x=11-y (3)
Now, you have to replace (3) in (2) and solve for y:
240(11-y)+1100y=6080
2640-240y+1100y=6080
860y=6080-2640
860y=3440
y=3440/860
y=4
Finally, you can replace the value of y in (3) to find the value of x:
x=11-y
x=11-4
x=7
According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.
Given a normal distribution with µ =100 and σ =10, if you select a sample of η =25, what is the probability that X is:
a. Less than 95
b. Between 95 and 97.5
c. Above 102.2
d. There is a 65% chance that X is above what value?
There is a 65% chance that X is above approximately 96.147.
To solve these probability questions related to a normal distribution, we can use the standard normal distribution and convert the given values to Z-scores. The Z-score measures the number of standard deviations a given value is away from the mean.
a. Less than 95:
First, we calculate the Z-score for 95 using the formula:
Z = (X - µ) / σ
Z = (95 - 100) / 10
Z = -0.5
Next, we can look up the corresponding cumulative probability for the Z-score -0.5 in the standard normal distribution table. The table gives us the probability to the left of the Z-score.
Using the table or a calculator, we find that the cumulative probability for Z = -0.5 is approximately 0.3085.
Therefore, the probability that X is less than 95 is approximately 0.3085.
b. Between 95 and 97.5:
We calculate the Z-scores for both values:
Z1 = (95 - 100) / 10 = -0.5
Z2 = (97.5 - 100) / 10 = -0.25
Next, we find the cumulative probabilities for these Z-scores:
P(Z < -0.5) ≈ 0.3085
P(Z < -0.25) ≈ 0.4013
To find the probability between 95 and 97.5, we subtract the cumulative probability of -0.5 from the cumulative probability of -0.25:
P(95 < X < 97.5) = P(Z < -0.25) - P(Z < -0.5)
≈ 0.4013 - 0.3085
≈ 0.0928
Therefore, the probability that X is between 95 and 97.5 is approximately 0.0928.
c. Above 102.2:
We calculate the Z-score for 102.2:
Z = (102.2 - 100) / 10
Z = 0.22
To find the probability above 102.2, we subtract the cumulative probability of the Z-score 0.22 from 1 (since the cumulative probability is the probability to the left of the Z-score):
P(X > 102.2) = 1 - P(Z < 0.22)
Using the table or a calculator, we find that the cumulative probability for Z = 0.22 is approximately 0.5871.
P(X > 102.2) = 1 - 0.5871
≈ 0.4129
Therefore, the probability that X is above 102.2 is approximately 0.4129.
d. There is a 65% chance that X is above what value?
To find the value above which there is a 65% chance, we need to find the corresponding Z-score.
We know that 65% of the area under the normal curve lies to the left of this Z-score, which means that the remaining 35% is to the right.
Using the standard normal distribution table or a calculator, we find the Z-score that corresponds to a cumulative probability of 0.35. Let's call this Zc.
Zc ≈ -0.3853
Now, we can solve for X using the formula:
Zc = (X - µ) / σ
Plugging in the given values:
-0.3853 = (X - 100) / 10
Solving for X:
-0.3853× 10 = X - 100
-3.853 = X - 100
X = -3.853 + 100
X ≈ 96.147
Therefore, there is a 65% chance that X is above approximately 96.147.
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the process of finding the derivative of a function is called____.
The process of finding the derivative of a function is called differentiation.
Differentiation is a fundamental concept in calculus that involves determining the rate at which a function changes with respect to its independent variable. It allows us to analyze the behavior of functions, such as finding slopes of curves, identifying critical points, and understanding the shape of graphs.
The derivative of a function represents the instantaneous rate of change of the function at any given point. It provides information about the slope of the tangent line to the graph of the function at a specific point.
The notation used to represent the derivative of a function f(x) with respect to x is f'(x) or dy/dx. The derivative can be interpreted as the limit of the difference quotient as the interval approaches zero, representing the infinitesimal change in the function.
By applying differentiation techniques, such as the power rule, product rule, chain rule, and others, we can find the derivative of a wide range of functions. Differentiation is a powerful tool used in various areas of mathematics, physics, engineering, economics, and other fields to analyze and solve problems involving rates of change.
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Please help me with these two problems
yakubu and bello owned a business in which the ratio of their shars was 3:5, respectively. if yakubu later sold 3/4 of his share to bello for N180000, what is the value of the business?
The value of the yakubu and bello business is N80,000.
Let's start by determining the original value of Yakubu and Bello's shares in the business before the sale took place.
The ratio of their shares is given as 3:5, which means Yakubu owns 3 parts and Bello owns 5 parts out of a total of 3+5 = 8 parts.
Now, let's assume the value of the business is represented by "V" (to be determined).
Since Yakubu later sold 3/4 of his share to Bello, this means he sold 3/4 * 3 = 9/4 parts of the business to Bello.
The value of 9/4 parts of the business is N180,000, so we can set up the following equation:
(9/4) * V = N180,000
To solve for V, we multiply both sides of the equation by 4/9:
V = (4/9) * N180,000
V = N80,000
Therefore, the value of the business is N80,000.
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Match each graph below with the correct solution or correct number of solutions to the system of equations. (0,-5) (-1,2) no real solutions infinitely many solutions (-1,5)
1. infinitely many solutions
2. (-1,2)
3. No real solutions
Please mark brainly if I'm correct.
The given graphs of the system of equations will have an infinite solution, unique solution and no solution, respectively.
What is a system of equations?The types of system of equations in mentioned below.
Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
A.) For the first graph since the lines overlap or lie on each other, therefore, the given system of equation in the first graph will be of Dependent consistent system. Thus, the system will have an infinite number of solutions.
B.) For the second graph since the lines intersect at a particular point, therefore, the given system of equations in the second graph will be an Independent consistent system. Thus, the system will have a unique solution number of solutions. Also, the solution of the equation is the point at which the lines intersect, therefore, the solution of the system of the equation will lie at (-1,2.)
C.) For the third graph since the lines are parallel to each other, therefore, the given system of equations in the third graph will be an Independent consistent system. Thus, the system will have no solutions.
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PLEASE help
Allen mixes 1 cup of water that is 150°F and 1 cup of cold chicken broth that is 50°F. The end temperature of the mixture would be about___________
. Chris combines 2 cups of soup that is 50°F with 1 cup of water that is 150°F. The end temperature of the mixture would be ______
Answer:
1) 100 degrees F
2) 50 degrees F
Step-by-step explanation:
its just simple subtraction