The fractions 3a/8b and 6a/16b are equivalent which was calculated after simplifying 6a/16/b.
What is the definition of fraction?In mathematics, a fraction is used to represent a piece or part of a whole. It symbolizes the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, while the bottom number is known as the denominator.What is the Simplifying Fractions Rule?The rule for simplifying fractions is to cancel out the common elements in the fraction's numerator and denominator. In other words, we must ensure that the numerator and denominator are both prime integers.
Given fractions: 3a/8b and 6a/16b
We need to check if both these fractions are equivalent or not.
Consider the fraction 6a/16b
On simplifying it, we get 3a/8b which is equal to the given function 3a/8b
6a/16b = 3a/8b
Therefore both the fractions 3a/8b and 6a/16b are equivalent which was calculated after simplifying 6a/16/b.
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Bookmarks are on sale at a store: buy 4, get 1 free! A teacher
bought 47 bookmarks for their students. If each bookmark
costs $1.30, how much did the teacher spend on bookmarks?
LA
Enter the answer
Answer:
Step-by-step explanation:
$52.00
Write a formula for g(x) in terms of x.
The formula of g(x) is g(x) = -0.8x - 1.6
How to determine the formula of g(x)?The equation is given as:
-4x - 6 = 5y + 2
Subtract 2 from both sides
5y = -4x - 8
Divide through by 5
y = -0.8x - 1.6
Express as a function
g(x) = -0.8x - 1.6
Hence, the formula of g(x) is g(x) = -0.8x - 1.6
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Qn in attachment
.
..
Answer: d
Step-by-step explanation:
Answer:
pls mrk me brainliest
Step-by-step explanation:
( ̄(エ) ̄)ノ
Do
this mathematics operations using the rules of precision
(9.11)+(6.232)
(7.4023)x(19)
(9.162)-(2.39)
(0.00482)x(213)
(8.73)/(5.198)
(7644)/(0.13)
Answer:
Step-by-step explanation:
Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:
(9.11) + (6.232)
The sum of 9.11 and 6.232 is 15.342.
(7.4023) x (19)
The product of 7.4023 and 19 is 140.844.
(9.162) - (2.39)
The difference between 9.162 and 2.39 is 6.772.
(0.00482) x (213)
The product of 0.00482 and 213 is 1.02786.
(8.73) / (5.198)
The division of 8.73 by 5.198 is 1.67920734.
(7644) / (0.13)
The division of 7644 by 0.13 is 58,800.
Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.
find the volume of the cylinder
Area of base:
3 * 9 = 27
27*9 = 243So, 243 is the answer.
find the total differential of the function w = e y cos(x) z^2 .
To find the total differential of the function w = e^y * cos(x) * z^2, we can take the partial derivatives with respect to each variable (x, y, and z) and multiply them by the corresponding differentials (dx, dy, and dz).
The total differential can be expressed as:
dw = (∂w/∂x) dx + (∂w/∂y) dy + (∂w/∂z) dz
Let's calculate the partial derivatives:
∂w/∂x = \(-e^{y} * sin(x) * z^{2}\)
∂w/∂y = \(e^{y} * cos(x) * z^{2}\)
∂w/∂z = \(2e^{y} *cos (x)* z\)
Now, let's substitute these partial derivatives into the total differential expression:
\(dw = (-e^{y} * sin(x) * z^{2} ) dx + (e^{y}* cos(x) * z^{2} ) dy + 2e^{y} *cos (x)*z) dz\)
Therefore, the total differential of the function w = e^y * cos(x) * z^2 is given by:
\(dw = (-e^{y} * sin(x) * z^{2} ) dx + (e^{y} * cos(x) * z^{2} ) dy + ( 2e^{y} * cos(x) * z) dz\)
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The efficiency of amar, bobby and chandu is 3:2:5. amar alone can complete the work in 50 days. they all work together for 4 days and then chandu left. in how many days amar and bobby together can complete the remaining work?
Time taken for amar and bobby together to complete the remaining work is; 22 days
How to Solve Proportion?
Efficiency of amar, bobby and chandu is in the ratio 3:2:5.
Total work by Amar = 3 * 50 = 150 units
Work done by amar, bobby and chandu in 4 days = (3 + 2 + 5) * 4 = 40 units
Remaining work = 150 - 40 = 110 units
Efficiency of Amar and Bobby = 3 + 2 = 5 units
Thus;
Time taken for amar and bobby together to complete the remaining work is; 110/5 = 22 days
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Equivalent Expression:
-3(m-2)
a) -3(m)-3(-2)
b) -3(m)+2
c) -9m
d) 9m
Answer:
a
Step-by-step explanation:
-3(m-2)
-3(m)-3(-2)
-3m+6
A cream is sold in a 38 gram container. the average amount of cream used per application is 2 5/7 gram. how many applications can be made with the container?
Answer:
The answer to the problem should be 14
How many times does a dragonfly’s wing beat per minute if the beats are 38 per second
Answer:
2280 beats per minute
Step-by-step explanation:
38*60 sec/min = 2280
hope this helps, pls mark brainliest :D
A store pays $76 for a ceramic vase and marks the price by 30%. What is the amount of the mark-up?
Answer:
$110.2
Step-by-step explanation:
$76 × 45%
$34.2
$76 + $34.2
$110.2
Answer two questions about Systems AAA and BBB
1) How can we get System BBB from System AAA?
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?
1. To get system B form A: C. Swap only the right-hand sides of both equations.
2. They are not equivalent systems.
How to Find the Solution to a System of Equations?The point of intersection of two equations of a system gives us the solution, which is the coordinate of that point.
If two systems are equivalent, then they will have the same solution or point of intersection.
1. To get system B from A, the values at the right hand side of both equations were swapped.
2. The graph of system A, -10x - 4y = 0 and -2y + 7y = 8 is given in figure 1. The solution is (-0.64, 1.6).
The graph of system B, -10x - 4y = 8 and -2y + 7y = 0 is given in figure 2. The solution is (-0.8, 0).
Therefore, the systems are not equivalent.
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the tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,00 miles and a standard deviation of 2700 miles. what warranty should the company use if they want 96% of the tires to outlast the warranty?
According to the standard deviation, the company should offer a warranty period that covers at least 65,895 miles to ensure that 96% of the tires sold will outlast the warranty.
To do this, we use a z-score table, which gives the probability of getting a z-score less than or equal to a given value. The z-score is a measure of how many standard deviations a data point is from the mean.
To find the z-score for the top 4% of the tires, we first subtract 96% from 100% to get 4%. Then we divide this by 2 to get 2%, as we are interested in the area under the normal distribution curve in the right tail. Using the z-score table, we find that the z-score corresponding to a 2% area under the curve is approximately 2.05.
Next, we use the formula for converting a z-score to a data value:
z = (x - μ) / σ
where z is the z-score, x is the data value, μ is the mean, and σ is the standard deviation. Solving for x, we get:
x = z x σ + μ
Plugging in the values, we get:
x = 2.05 x 2700 + 60000
x ≈ 65,895
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A ball i drawn randomly from a jar that contain 5 red ball, 2 white ball, and 1 yellow ball. Find the probability of: Find P(red ball): Find P(NOT Yellow): Find P(white or yellow)
Following are all of the subparts' solutions using the probability formula:
Red ball (A) P: 5/8
(B) P: 7/8 (NOT Yellow)
(C) P(yellow or white): 3/8
What is probability?
Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.
What is an event?The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.
Probability formula: P(E) = favorable events/Total events
(A) P(red ball):
P(E) = favorable events/Total events
P(E) = 5/8
(B) P(NOT Yellow)
P(E) = favorable events/Total events
P(E) = 7/8
(C) P(white or yellow)
P(E) = favorable events/Total events
P(E) = 3/8
Therefore, the answers to all the subparts using the probability formula are shown:
(A) P(red ball): 5/8
(B) P(NOT Yellow): 7/8
(C) P(white or yellow): 3/8
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Find an expression which represents the difference when(8x−5) is subtracted from (7x−9) in simplest terms.
The expression that represents the difference between (7x - 9) and (8x - 5) in Simplest terms is -x - 4.
The difference between (7x - 9) and (8x - 5), we need to subtract the second expression from the first.
(7x - 9) - (8x - 5)
To simplify this expression, we distribute the negative sign to the terms inside the parentheses:
7x - 9 - 8x + 5
Next, we can combine like terms by adding or subtracting coefficients of similar variables:
(7x - 8x) + (-9 + 5)
Simplifying further:
-x + (-4)
Finally, we can combine the two negative terms:
-x - 4
Therefore, the expression that represents the difference between (7x - 9) and (8x - 5) in simplest terms is -x - 4.
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The chambered nautilus is a deep-sea creature with a spiral shell that can withstand pressure up to
1180
11801180 pounds per square inch
(
psi
)
(psi)left parenthesis, start text, p, s, i, end text, right parenthesis. Underwater pressure consists of atmospheric pressure, which is
14.7
psi
14.7psi14, point, 7, start text, p, s, i, end text, plus
0.45
psi
0.45psi0, point, 45, start text, p, s, i, end text of hydrostatic pressure per foot of depth under water. To the nearest foot, what is the maximum depth under water at which the shell of a chambered nautilus can withstand the pressure?
The maximum depth under water at which the shell of a chambered nautilus can withstand the pressure is 2589 feet (rounded to the nearest foot).
To determine the maximum depth at which the shell of a chambered nautilus can withstand the pressure, we need to calculate the total pressure the shell can endure and then convert it to depth. The total pressure consists of atmospheric pressure and hydrostatic pressure per foot of depth underwater.
The atmospheric pressure is 14.7 psi, and the hydrostatic pressure per foot of depth is 0.45 psi. We can set up the equation:
Total Pressure = Atmospheric Pressure + Hydrostatic Pressure * Depth
We know that the maximum pressure the shell can withstand is 1180 psi. By substituting the given values into the equation, we can solve for the depth. Rearranging the equation, we have:
1180 psi = 14.7 psi + 0.45 psi/ft x Depth
Simplifying the equation, we get:
0.45 psi/ft x Depth = 1180 psi - 14.7 psi
By subtracting the atmospheric pressure from the total pressure, we find:
0.45 psi/ft x Depth = 1165.3 psi
Finally, by dividing both sides of the equation by 0.45 psi/ft, we can determine the depth to the nearest foot at which the shell can withstand the pressure. The calculated depth is approximately 2589 feet. Therefore, the maximum depth under water at which the shell of a chambered nautilus can withstand the pressure is 2589 feet (rounded to the nearest foot).
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Answer: The answer is 2589 feet .
Step-by-step explanation: Quite simple it is 2589 feet .
1. Joe worked 80 hours in the last pay period (2 weeks) and he earns $12 per
hour.
Answer:
You don't have a question but if you're asking how much does he earn in the one pay period it's 80 x 12 =$960
Step-by-step explanation:
let me know if that helps otherwise i can give a different answer
3/4x=-6
please answer with steps.
Answer:
x=-8
Step-by-step explanation:
Multiply both sides- 4/3x2/4=4/3x(-6)
Reduce multiply
x=-4x2
x=-8
Answer:
13/6
Step-by-step explanation:
1. remove perenthases and distrubute 3 through both sides of the eqation.
2.move 18 to the right and make it +18 instead of -18
3.calculate 8+18 to get 26
4.divide both sides if the eqation by 12 to 13/6
hope this helps!
19. A ladder leans against the wall and reaches a point
24 feet up the wall. The base of the ladder is 6 feet
from the wall. To the nearest degree, what angle
does the ladder make with the wall?
D
24
E 6 F
Answer: 14
Step-by-step explanation:
(Which word best describes the degree of overlap between the two data sets?
Responses (I WANT EXPLANATION ON HOW TO DO IT AND ANSWER PLEASE TY)
high
moderate
none
low
Two line plots with the same scale and interval, from zero to ten, with tick marks every one unit. The plots are stacked vertically for comparison. Each plot has sixteen data values. Values appear as x marks above the line. Upper plot data values are one x mark above two, one x mark above three, one x mark above four, two x marks above five, four x marks above six, three x marks above seven, two x marks above eight, one x mark above nine, and one x mark above ten. Lower plot data values are one x mark above 1, two x marks above two, three x marks above three, four x marks above four, two x marks above five, two x marks above six, one x mark above seven, and one x mark above eight.
The degree of overlap between the two data sets is moderate. Therefore, the correct answer is B. moderate.
What is the degree of overlap?To determine the degree of overlap between the two data sets, we need to visually compare the line plots. Based on the description provided, we can see that the two line plots have some common data points but also have different data values.
The upper plot has data values that range from 2 to 10, while the lower plot has data values that range from 1 to 8. However, both plots share some common data values such as 2, 3, 4, and 5.
Therefore, we can say that the degree of overlap between the two data sets is moderate. While there are some common data values, the majority of the data values are different between the two plots.
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Canada and the European Union require that cars be equipped with "daytime running lights," headlights that automatically come on at a low level when the car is started. Many manufacturers are now equipping cars sold in the United States with running lights. Will running lights reduce accidents by making cars more visible? An experiment conducted in a driving simulator suggests that the answer may be "Yes." What concerns would you have about generalizing the results of such an experiment?
Probably not all driving scenarios can be accurately simulated by a driving simulator. Additionally, it's likely that simulator users have a different mindset than when they're actually behind the wheel.
Define the term experiment?The cited data:
By improving visibility during the day, daytime running lights can reduce accidents. Daytime running lights are used to help drivers gauge the size of the vehicle.Idea applied in experiment:
An institutional review committee must first approve any human experiments. All participants must give their informed consent prior to participating. Any details pertaining to study participants must remain confidential.A driving simulator is therefore unlikely to adequately replicate all driving scenarios, which is one of our concerns about extending the outcomes of such an investigation.
Thus, users of driving simulators are also probably in a different frame of mind than they are while driving is real life.
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Solve for the volume of the pyramid. Show your work and explain the steps you used to solve.
The volume of the pyramid is 3733.33 m³.
Having a square base and four lateral sides, a square pyramid is a type of pyramid in geometry. Having three or more triangular faces that intersect above its base, a pyramid is a particular kind of polyhedron (the apex).
The building is in the shape of a square pyramid.
The base of the building is 20 meters long.
The height of the building is 28 meters.
The volume of the right square pyramid is given as:
V = ( 1/3)a²h
Where a is the base and h is the height.
Now we have,
a = 20 m and h = 28 m
So,
V = ( 1/3 ) × 20 × 20 × 28
V = ( 1/3 ) × ( 20 )² × 28
V = 11200/3
V = 3733.33 m³
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determine the domain and the range of the function .f = {(10,1 ),(17,-6),(45,1 ),(51,5 )}
The given function f, with the provided set of ordered pairs, has a domain of {10, 17, 45, 51} and a range of {-6, 1, 5}.
The domain of a function refers to the set of all possible input values or x-values for which the function is defined. In this case, the given set of ordered pairs determines the domain. Looking at the x-values in the set {10, 17, 45, 51}, these are the unique inputs for which the function f is defined. Hence, the domain of f is {10, 17, 45, 51}.
On the other hand, the range of a function refers to the set of all possible output values or y-values that the function can take. By examining the y-values in the set {-6, 1, 5}, we can observe the distinct outputs generated by the function f. Thus, the range of f is {-6, 1, 5}.
In summary, the domain of the function f is {10, 17, 45, 51}, and the range of f is {-6, 1, 5}.
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What part of an hour passes between 4:56 p.m. and 5:32 p.m.?
3/5 part of an hour passes in between two times given.
What is fraction?
A fraction represents a vicinity of a full or, a lot of typically, any variety of equal elements. once spoken in everyday English, a fraction describes what number elements of a precise size there ar,
Main body:
The time given are = 4:56 and 5:32
Total time spent between = 4+ 32
= 36 minutes
Total minutes in 1 hour = 60
So parts spent = 36/60
now simplifying we get.
= 3/5
Hence the answer is 3/5 .
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Give a 99.5% confidence interval, for μ 1 − μ 2 given the following information. n 1 = 35 , ¯ x 1 = 2.08 , s 1 = 0.45 n 2 = 55 , ¯ x 2 = 2.38 , s 2 = 0.34 ± Rounded to 2 decimal places.
The 99.5% confidence interval for the distribution of differences is given as follows:
(-0.5495, -0.0508).
How to obtain the confidence interval?The difference between the sample means is given as follows:
\(\mu = \mu_1 - \mu_2 = 2.08 - 2.38 = -0.3\)
The standard error for each sample is given as follows:
\(s_1 = \frac{0.45}{\sqrt{35}} = 0.076\)\(s_2 = \frac{0.34}{\sqrt{55}} = 0.046\)Hence the standard error for the distribution of differences is given as follows:
\(s = \sqrt{0.076^2 + 0.046^2}\)
s = 0.0888.
The confidence level is of 99.5%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.995}{2} = 0.9975\), so the critical value is z = 2.81.
Then the lower bound of the interval is given as follows:
-0.3 - 2.81 x 0.0888 = -0.5495.
The upper bound of the interval is given as follows:
-0.3 + 2.81 x 0.0888 = -0.0508
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assume you have applied for two jobs a and b. the probability that you get an offer for job a is 0.25. the probability of being offered job b is 0.20. the probability of getting at least one of the jobs is 0.40. what is the probability that you will be offered both jobs? enter your answer as a decimal rounded to two places.
Answer: the probability of being offered both jobs is 0.05, or 5%
Step-by-step explanation:
To solve this problem, we can use the formula:
P(A or B) = P(A) + P(B) - P(A and B)
where P(A or B) is the probability of getting at least one job offer, P(A) is the probability of getting an offer for job A, P(B) is the probability of getting an offer for job B, and P(A and B) is the probability of getting an offer for both jobs.
Substituting the given values, we get:
0.40 = 0.25 + 0.20 - P(A and B)
Solving for P(A and B), we get:
P(A and B) = 0.25 + 0.20 - 0.40 = 0.05
Therefore, the probability of being offered both jobs is 0.05, or 5% (rounded to two decimal places).
In San Francisco, 1 US gallon of petrol costs $3.34
In Manchester, 1 litre of petrol costs 107.6p
1 US gallon =3.785 litres
£1=$1.46
In which city is petrol better value, San Francisco or Manchester?
You must show your working.
Answer:
San Francisco
Step by step explanation:
Given that 1 US gallon of petrol costs $3.34 in San Francisco, and 1 litre of petrol costs 107.6p in Manchester, with conversion rates being 3.785 litres per gallon and $1.46 per 1£, you want to know the city where the value is better.
Comparable cost
We can compare the costs by converting the rate in Manchester to a dollar cost per gallon.
The cost of 1 litre in Manchester is £(107.6/100) = £1.076. The cost of 1 US gallon of petrol in Manchester is 3.785 × £1.076 = £4.07226. Converted to dollars, that is 4.07266 × $1.46 ≈ $5.95.
In San Francisco, the cost of 1 US gallon is $3.34.Therefore, the cost of 1 US gallon of petrol in San Francisco is a better value. The price of petrol is higher in Manchester than in San Francisco.
Suppose x has a normal distribution with mean 80 and standard deviation 5. What is the 90th percentile of x?.
The 90th percentile of x is 70.
What is standard deviation?
A set of values' variance or dispersion is measured by the standard deviation. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.
Given: Mean = 80, s = 5.
Computing values to standard deviation from mean,
Lower limit = mean - 2s
= 80 - 2(5)
= 80 - 10
Lower limit = 70
Hence, if x has a normal distribution with mean 80 and standard deviation 5 then the 90th percentile of x is 70.
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what is 2 2/3 dived by 1 1/4 equal
what is the square root of pi?
Answer:
1.77245385091
Step-by-step explanation: