Answer:
Abdullah is correct.
Step-by-step explanation:
The bottle contained originally 12 fl oz, so 12 fl oz is 100%.
The box now contains 20% more, so now it contains 120% of 12 fl oz.
120% * 12 fl oz = 1.2 * 12 fl oz = 14.4 fl oz
Also, 20% is 1/5. Abdullah divided 12 oz into 5 equal parts, and then he added one more 1/5. He interpreted the problem correctly. The amount in the new bottle is the amount of the old bottle plus 20% of that old amount.
Kanna considers the original amount to be 80%. When he adds another 20%, he is adding 1/4 of 12 which is too much. That is why he gets an incorrect answer that is to high. He interpreted the problem incorrectly. For him, the old bottle has 20% less than the new bottle. That is incorrect.
Abdullah is correct.
for each of the following, show that the differential form is not exact, but becomes exact when multiplied through by the given integrating factor
To determine if a differential form is exact, we need to check if its partial derivatives satisfy the condition of equality. If the differential form is not exact, we can multiply it by an integrating factor to make it exact.
Given a differential form of the form M(x, y)dx + N(x, y)dy, we can determine if it is exact by checking if ∂M/∂y = ∂N/∂x. If this condition is not satisfied, the differential form is not exact. However, we can multiply the differential form by an integrating factor to make it exact.
By multiplying the original differential form by an integrating factor, which is usually a function of either x or y, the resulting form will have equal partial derivatives, satisfying the condition for exactness. The integrating factor effectively "corrects" the form and makes it exact.
By finding the appropriate integrating factor and multiplying it with the given differential form, we can transform it into an exact form. This process is a fundamental technique in solving certain types of differential equations and allows us to find solutions that would otherwise be challenging to obtain.
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Sung loo worked 54 hours during a special sale at the store. 10 hours was time and a half, and 4 hours were at double time. Her regular rate is $6.86. How much would Sung Loo make?
Answer:
$432.18
Step-by-step explanation:
Time and a half = 50% more pay rate / 1.5*6.86 = $10.29 per hour
Double time = 2*6.86 = $13.72 per hour
Rest of the time => At regular rate
Total Amount = 10(10.29) + 4(13.72) + (54 - 10 - 4)(6.86)
= 10(10.29) + 4(13.72) + (40)(6.86)
= $ 432.18
Answer:
so 10 hours was 1,5 time and 4 hours was 2 (double) time Her regular rate is $6,86/h so 10 h with 1,5 time make 10*1,5 = ? and 4 h with 2 time make 4*2 = ? total how much you get multiplie by 6,86 and will get in this way easy sure the correct answer.
Which is the graph of the linear function that is represented by. The equation y= 1/2 x -2y?
Answer:
Its nonlinear
aka answer C
Step-by-step explanation:
Can someone please help me!I'm struggling!
Show your work and reasoning.
A
27°
B
12
C
Finding a Missing Side Length in a Right Triangle:
Given a side length and angle measure
1. Locate the angle measured. If both are known, pick one.
2. Label the sides of the right triangle. Start with the hypotenuse.
Then opposite and adjacent.
3. Which side do you know? Which side are you trying to find?
4. Decide which trig function (cosine, sine, or tangent) fits the
sides chosen in step 3.
5. Write your equation. Fill in the known measurements.
6. Create two fractions. Cross-multiply to solve
The missing side length, C, is approximately 23.53 units.
To find the missing side length in a right triangle, we need to use trigonometry. Given the angle A = 27° and the side length opposite to it, B = 12C, we can follow the following steps to find the missing side length:
1. Locate the angle measured: In this case, we are given angle "A = 27°."
2. Label the sides of the right triangle: Let's label the hypotenuse as H, the side opposite to angle A as O, and the side adjacent to angle A as A. We can choose any side as the hypotenuse, so let's choose H to be the side opposite to angle B.
3. Which side do you know? Which side are you trying to find?: We know the length of side B and are trying to find the length of side C.
4. Decide which trig function (cosine, sine, or tangent) fits the sides chosen in step 3: We are given the length of the opposite side (B) and are trying to find the length of the adjacent side (C), so we will use the tangent function.
5. Write your equation. Fill in the known measurements: The tangent of angle A is defined as the ratio of the length of the opposite side to the length of the adjacent side. So we can write: tan(A) = B/C
Substituting the known values, we get:
tan(27°) = 12/C
6. Create two fractions. Cross-multiply to solve: To solve for C, we can cross-multiply and simplify the equation as follows:
tan(27°) = 12/C
C * tan(27°) = 12
C = 12/tan(27°)
Using a calculator, we can evaluate the value of tan(27°) to be approximately 0.5095. Therefore,
C = 12/0.5095 ≈ 23.53
Hence, the missing side length, C, is approximately 23.53.
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find the missing length indicated
please hurry yyyyyyyyyyyyyyyyyy!!!!!!!!!!!!!!
Answer:
the answer is c
Step-by-step explanation:
Abigail and her children went into a movie theater and she bought $71.50 worth of
drinks and pretzels. Each drink costs $4 and each pretzel costs $4.75. She bought a
total of 16 drinks and pretzels altogether. Determine the number of drinks and the
number of pretzels that Abigail bought.
Answer: The number of drinks she bought would be 6 and the number of pretzels she bought would be 10.
Suppose that the probability that a person books a hotel using an online travel website is. 7. Con sider a sample of fifteen randomly selected people who recently booked a hotel. Out of fifteen randomly selected people, how many would you expect to use an online travel website to book their hotel? round down to the nearest whole person
We can use the binomial distribution to solve this problem.
Let X be the number of people out of 15 who used an online travel website to book their hotel. Then, X follows a binomial distribution with n = 15 and p = 0.7.
The expected value of X is given by:
E(X) = n × p
Substituting the values given in the problem, we get:
E(X) = 15 × 0.7 = 10.5
Therefore, we would expect 10 people (rounding down 10.5 to the nearest whole person) out of 15 to use an online travel website to book their hotel.
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Jordan compared 10 books at the school library. The following table shows the number of chapters and the total number of pages for each book.
Number of Chapters 2 7 8 12 14 15 17 18 19 20
Total Pages 21 72 84 92 87 141 190 185 198 210
Which of the following representations is most appropriate to show the relationship between the number of chapters and the total pages of a book?
The representation that is most appropriate to show the relationship between the number of chapters and the total pages of a book is given by:
Graph 1.
How to choose the correct graph?Before choosing the correct graph, we must classify the function as discrete or continuous, as follows:
Discrete function: the input values of the function are only certain values on an interval.Continuous function: the input values of the function are all the real values in the interval.Then the graph of each type of function is given as follows:
Discrete function: dots.Continuous function: solid line.The input and output variables in this problem are given as follows:
Input variable: number of chapters.Output variable: number of pages.The number of chapters assumes only integer values, hence the function has a discrete domain, meaning that the graph is composed by dots.
However, the first graph is correct, as the third graph has a range of input and output values that is not present on the table, while the range in the first graph is according to the table.
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Answer: the 3rd graph because it has no time data
Step-by-step explanation:
i need to know what 7 3/4 x 3 5/7 is please help me
Answer: 7 3/4 x 3 5/7 is 28 11/14
Step-by-step explanation:
7 3/4 x 3 5/7
31/4 x 26/7
806/28
403/14 or 28 11/14
Answer:
44 2/7
Step-by-step explanation:
Turn into improper fractions
31/4*40/7
Cross Multiply (4 and 40)
31/1*10/7
Now multiply
310/7
Simplify
44 2/7
Hope this helps!!!
Have a great day!!!!
Kate is x years old. Lethna is 3 times as old as Kate. Mike is 4 years older than Lethna. write down an expression, in terms of x for Mike's age
Answer: Mike is ( 3x + 4 ) years old
Step-by-step explanation:
K -> x y/o
L -> 3x y/o
M -> (3x + 4) y/o
Megan has 3 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
A.
(6/3) or 6:3
B.
(3/6) or 3:6
C.
(6/9) or 6:9
Answer: B. 3/6
Step-by-step explanation:
The ratio is how much of it is it. So if there’s 3 red marbles, and 6 blue, you put it so if the ratio is red to blue you’d put 3/6 let’s say it was blue to red, then you’d put 6/3.
(-26) – 14.
Need help pls
Answer:
-40
notice, its NEGATIVE 26 MINUS 14. same sign. When its the same sign, just add the numbers. 26+14 = 40
and REMEMBER its negative, so we add the negative sign. -40
Step-by-step explanation:
Answer:
-40
Explanation:
(-26)-14=-26-14=-40
can anyone please answer this? I need it asap
A quadratic equation is a second-order polynomial equation in a single variable. a ≠ 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Given:
Height of tennis ball, b(t)= -t² -4t + 22
Height of Rocket, p(t) = -2t+ 12
A graphing calculator shows the two solutions to be ...
(t, h) = (-4.2, 23) and (2.3, 7)
The two heights will be equal when ...
p(t) = b(t)
-2t +12 =-t² -4t + 22
t²+ 2t -10=0
t=2.31662 or t=−4.31662
At these times, the heights will be
p(t) = -2{2.31622, -4.31662} +12
= {-4.63244, 8.63324} +10 = {5.36756, 18.63324}
We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4.31662 is an extraneous solution.
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Kenny and Tara are both members of a population, and a simple random sample is being conducted. If the chance of Kenny being selected is 1/29, what is the chance of Tara being selected?
Given:
a.) The chance of Kenny being selected is 1/29.
From the given, we can say that the total population is 29.
Since it's been given that Kenny and Tara are both memb
evaluate 6+4/a + b/3 when a=4 and b=3
Answer: 31/4 or 7.75
Step-by-step explanation:
How do you solve question 8 of geometry worksheet? (Grade 8th)
Given the information below, estimate the total distance travelled during these 6 seconds using a left endpoint approximation.
time (sec) velocity(ft/sec)
0 13
1 23
2 24
3 15
4 4
5 1
6 10
Total distance traveled during these 6 seconds = 80 feets
Given the data in the question-
Time (sec) Velocity (ft/sec)
0 13
1 23
3 24
4 15
5 4
6 10
Since the distance traveled is shown by.
Distance = Velocity x Time
And since the time interval in the question is given = 1 sec between any two breaks,
By the principle of left-end approximation -
According to the left-end approximation, the velocity given at each equal interval is determined by the function value at the left of each subinterval.
(0,1) ---------------- f (0) = 13
(1,2) ---------------- f (1) = 23
(2,3) --------------- f (2) = 24
(3,4) --------------- f (3) = 15
(4,5) --------------- f (4) = 4
(5,6) --------------- f (5) = 1
Now if we observe the time break between two-time intervals = 1 sec
The expression will be derived as -
= (13 x 1) + (23 x 1) + (24 x 1) + (15 x 1) + (4 x 1) + (1 x 1)
= 13 + 23 + 24 + 15 + 4 + 1
= 80 feets
Therefore, the total distance traveled during these 6 seconds = 80 feets
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A square tile has a width of 1 foot. How many tiles will fit end-to-end along a
4-foot wall?
Answer:
4
Step-by-step explanation:
Starting at the left end of the wall, you'll find that you can set four (4) tiles end to end along this wall.
How much money will be in an account with an initial investment of $13, 675 at 4.3% interest over 5
years if the interest is compounded annually?
Determine+the+percentile+indicating+the+bottom+ranking+20%.+in+other+words,+what+is+the+dollar+number+that+defines+where+the+lowest+values+fall.
The dollar number that defines where the lowest values falls is
20% percentile value =$20
This is further explained below.
What is the dollar number that defines where the lowest value falls?Generally, Now we need to determine the 20th percentile ($20). It indicates that we need to locate a dollar amount that marks the point at which the 20 % data has a value lower than that number.
i=(p/100)*n
Where i is the position of p^th
percentile when the data is presented in ascending order.
i=20/100*50
i=1000/100
i=10
Therefore
n=50
p=20
In conclusion, the 10th position for given data is 20,
Therefore, 20% percentile value =$20
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Use the Central Limit Theorem to find the probability of the indicated event, assuming that the distribution of the population data is unknown. In a certain city, employees work an average of 18.9 hours of overtime every month, with a standard deviation of 7.8 hours. What is the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours? Provide a solution showing your calculations and submit your work for marking. Include a sketch as part of your complete solution. P(X > 20)=
The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.
To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.
Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).
For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.
To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.
In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.
Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.
Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.
Here's a sketch to visualize the calculation:
|
|
|
| **
| * *
| * *
| * *
| * *
| * *
| * *
-------------------|--------------------------
18.9 | 20
The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.
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-8x - 5y = 12
8x - y = 12
Based on the following data: rRF=5.5%;rM−rRF=6%;b=0.8;D1=$1.00;P0=$25.00;g=6%;rd= firm's bond yield =6.5%. What is this firm's cost of equity using the CAPM approach?
Based on the following data: rRF=5.5%;rM−rRF=6%;b=0.8;D1=$1.00;P0=$25.00;g=6%;rd= firm's bond yield =6.5%, the firm's cost of equity using the CAPM approach is 10.3%.
To calculate the firm's cost of equity using the CAPM (Capital Asset Pricing Model) approach, we use the following formula:
Cost of Equity (re) = rRF + (rM - rRF) * β
Given: Risk-free rate (rRF) = 5.5% Market risk premium (rM - rRF) = 6% Beta (β) = 0.8
Using the provided data, we can calculate the firm's cost of equity:
Cost of Equity = 5.5% + (6% * 0.8) = 5.5% + 4.8% = 10.3%
Therefore, the firm's cost of equity using the CAPM approach is 10.3%.
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What does a linear equation look like?
Straight line or curved line
a test to see whether two variables, measured at the same point in time, are correlated is known as a)cross-sectional correlations b)longtitudal design c)descriptive statistics d)divergence
Answer:
a)cross-sectional correlation
Step-by-step explanation:
a test to see whether two variables, measured at the same point in time, are correlated is known as a cross-sectional correlation test
A longitudinal study is a research design that involves repeated observations of the same variables over long periods of time
and so on
Each of the 6 cats in a pet store was weighed. Here are their weights (in pounds): 15,8,14,16,14,9. Find the mean and median weights of these cats. If necessary, round your answers to the nearest tenth.
Step-by-step explanation:
for mean w. you have to add up all the values (cat weights) and divide them by the number of cats
and for median w. you need to compare the values from the smallest to the largest and cross out the numbers from the ends. Since there are 6 cats here (odd number) you will have 2 values left. Add them up and divide them by 2 (since there are 2)
A gene carries the______ for a trait.
Use f to find the probability that at most three grafts fail; that at least two grafts fail
The probability that at most three grafts fail is 0.98 and the probability that at least two grafts fail is 0.1.
To find the probability that at most three grafts fail, we need to find the sum of the probabilities for x = 0, 1, 2, and 3.
Using the given values of f(x), we get:
P(X <= 3) = f(0) + f(1) + f(2) + f(3)
= 0.7 + 0.2 + 0.05 + 0.03
= 0.98
So the probability that at most three grafts fail is 0.98.
To find the probability that at least two grafts fail, we need to find the sum of the probabilities for x = 2, 3, and 4 and subtract it from 1.
Using the given values of f(x), we get:
P(X >= 2) = 1 - (f(0) + f(1)) = 1 - (0.7 + 0.2) = 0.1
So the probability that at least two grafts fail is 0.1
--The question is incomplete, answering to the question below--
"Grafting the uniting of the stem of one plant with the stem or root of another; is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety with hardy root system: Most Florida sweet oranges grow on trees grafted to the root of sour orange variety. The density for X, the number of 'grafts that fail in series of five trials.
For the values of x = 0, 1, 2, 3, and 4 value of f(x) is 0.7, 0.2, 0.05, 0.03, and 0.01 respectively.
Use f(x) to find the probability that at most three grafts fail; that at least two grafts fail."
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