Answer:
qwqe
Step-by-step explanation:wqeqwe
is 4/6 equivalent to 2/3; which fraction is equivalent to 4/8; which fraction is equivalent to 1/4; which fraction is equivalent to 2/6; which fraction is equivalent to 2/4; which fraction is equivalent to 3/4; equivalent fractions; what fraction is equivalent to 4/6 and has a denominator of 3
Fraction which are equivalent to the given fractions are as follow:
a. 4 /6 is equivalent to 2/3, 8/12, 12/18 ,...
b. 4/8 is equivalent to 1/2 , 8/16, 12/24,.....
c. 2/6 is equivalent to 1/3 , 4/12, 6/18,....
d. 2/4 is equivalent to 1/2, 4/8, 6/12,...
e. 3/4 is equivalent to 6/8, 9/12, 12/16,...
As given in the question,
Equivalent fraction are the fractions which when reduced have the same numerator and denominator.
Multiply or divide by 2/2, 3/3, 4/4, 5/5,...so on to all numerator and denominators of the given fractions to get equivalent fraction.
a. 4/6 divide by 2 both numerator and denominator we get
4/6 = 2/3
Now multiply by both numerator and denominator by 2/2, 3/3,...so on.
4/6 is equivalent to 2/3 , 8/12, 12/18,...
Multiply and divide by same numbers in the numerator and denominator of all the fractions to get equivalent
b. b. 4/8 is equivalent to 1/2 , 8/16, 12/24,.....
c. 2/6 is equivalent to 1/3 , 4/12, 6/18,....
d. 2/4 is equivalent to 1/2, 4/8, 6/12,...
e. 3/4 is equivalent to 6/8, 9/12, 12/16,...
Therefore, equivalent fractions of the given fractions are :
a. 4 /6 is equivalent to 2/3, 8/12, 12/18 ,...
b. b. 4/8 is equivalent to 1/2 , 8/16, 12/24,.....
c. 2/6 is equivalent to 1/3 , 4/12, 6/18,....
d. 2/4 is equivalent to 1/2, 4/8, 6/12,...
e. 3/4 is equivalent to 6/8, 9/12, 12/16,...
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the speed (or rate) josiah travels to work is inversely proportion to time it takes to get there. if he travels 35 miles per hour it will take him 2.5 hours to get to work.
Josiah will take 1.5 hours to travel to work at the speed of 55 miles per hour.
As the speed and time are inversely proportional to each other, we can represent it as -
speed(i)/speed(f) = time(f)/time(i), where I represents initial and f represents final. Now, keep the values in formula to find the time (final).
35/55 = time(f)/2.5
Rewriting the equation according to variable time(f).
time(f) = (35×2.5)/55
Performing multiplication on Right Hand Side of the equation
time(f) = 87.5/55
Performing division on Right Hand Side of the equation
time(f) = 1.59 hours
Hence, it will take 1.59 hours.
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The complete question is -
The speed (or rate) Josiah travels to work is inversely proportional to time it
takes to get there. If he travels 35 miles per hour it will take him 2.5 hours to get to work. How long will it take him if he travels 55 miles per hour?
[tex]3^{2} +3[2^{3}(\sqrt{49} -2^{2}) (3^{2} -2^{3}) - 2^{2} ][/tex]
[tex]\stackrel{\textit{\LARGE P~E~M~D~A~S}}{3^2 + 3[ ~~ 2^3 (\sqrt{49}-2^2)(3^2-2^3) -2^2 ~~ ]}\implies 3^2 + 3[ ~~ 2^3 (\sqrt{49}-4)(9-8) -2^2 ~~ ] \\\\\\ 3^2 + 3[ ~~ 2^3 (7-4)(9-8) -2^2 ~~ ]\implies 3^2 + 3[ ~~ 2^3 (3)(1) -2^2 ~~ ] \\\\\\ 3^2 + 3[ ~~ 8 (3)(1) -4 ~~ ]\implies 3^2 + 3[ ~~ 24 -4 ~~ ]\implies 3^2 + 3[ ~~ 20 ~~ ] \\\\\\ 9+3[20]\implies 9+60\implies \text{\LARGE 69}[/tex]
ANSWER QUICK!!
question and answer choices in the picture below
Answer: B
Step-by-step explanation:
Determine which letter best represents an equivalent fraction.
A.18/20
B.3/15
C.7/8
Answer: A
Step-by-step explanation: when 18/20 is turned into a decimal it comes out as even and is the best one you can choose from
regression is a type of statistical analysis used to describe the relationship between one or more dependent variables and one or more independent variables.
Simple linear regression is a model that assesses the relationship between a dependent variable and an independent variable. The simple linear model is expressed using the following equation:
Where:
1. Y– Dependent variable
2. X– Independent (explanatory) variable
3. a– Intercept
4. b– Slope
Statistical Analysis Regression uses the statistics methods such as mean, median, normal distributions to figure out the relationships between the dependent and independent variables, to access the relationship strength between the variables and for modelling the new relationship among them, as it involves various variations such as simple linear, multilinear and non-linear where the non-linear regression is mainly used for complicated datasets in which the independent and dependent variables shows the nonlinear relationship.
according to a recent pew research center report, many american adults have made money by selling something online. in a random sample of 4579 american adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met. construct a 98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year.
As per the 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year is (0.1859,0.2133).
Confidence interval:
In statistics, confidence interval is an estimate of an interval in statistics that may contain a population parameter.
Given,
According to a recent pew research center report, many American adults have made money by selling something online. in a random sample of 4579 American adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met.
Here we need to construct a 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year.
As per the given question, the value of
Confidence interval = 98%
Number of samples = 4579
Reported numbers = 914
Therefore, the number of failure is calculated as,
=> 4579 - 914
=> 3665
Here the sample proportion is the number of successes divided by the sample size:
=> 941/4579
=> 0.1996
Here for confidence level 1 − α = 0.98,
We have to determine zα / 2 = z0.01 using the normal probability table in the appendix, we get
zα/2 = 2.33
Then the margin of error is calculated as,
E = 2.33 x √[0.1996 x (1 - 0.1996)]/4579
E = 0.0137
Then the boundaries of the confidence interval are then:
p⁻ˣ = 0.1996−0.0137 = 0.1859
p⁺ˣ = 0.1996+0.0137 = 0.2133
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A witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by 3 digits, the first of which was a 5. If the witness cannot recall the last 2 digits, but is certain that all 3 digits are different, find the maximum number of automobile registrations that the police may have to check
The maximum number of automobile registrations that the police may have to check is 72 license.
Concept Introduction:-
Mathematics defines time as an ongoing and continuous series of events that take place in order, from the past to the present to the future.
Given Information:-
We have been given that a witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by 3 digits, the first of which was a 5 . If the witness cannot recall the last 2 digits, but is certain that all 3 digits are different.
We have to find that the maximum number of automobile registrations that the police may have to check
According to the problem
Since digits are different, available digits are 0,1,2,3,4,6,7,8,9 ( as 5 is already used)
Number of available digits = 9
2nd digit can be any of the above 9 digits
3rd digit can be any of the remaining 8 digits
Police have to check 9*8 = 72 registrations.
Hence , The maximum number of automobile registrations that the police may have to check is 72 license.
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You invest $60,000 in the stock market. Since you are a math genius, you have found the secret key
to great returns. You average 22% return on your money. Assume daily compounding (n=365).
Using the compound interest equation: A = P(1 + )"
nt
How much money will be in the account in 15 years?
Answer: $1,184,537.217
Step-by-step explanation:
You just multiply the number by 1.22 every year.
For example: year 1 (60,000 * 1.22)= 73,200
Year 2: (73,200 *1.22) =89,304
and so on until year 15 is reached.
Which piece of information listed below does the central limit theorem allow us to disregard when working with the sampling distribution of the sample mean?A) all can be disregardedB) the mean of the populationC) the standard deviation of the populationD) the shape of the population
The shape of the population can be disregarded when working with sampling distribution of sample mean.
The correct option is Option D)
What is central limit theorem?
The central limit theorem in probability theory proves that, even if independent random variables are not normally distributed in themselves, in many cases, when they are added together, their correctly normalized sum tends toward a normal distribution.
As in the central limit theorem mean and standard deviation is given but there is not mention of shape of the distribution.
Hence shape of the distribution is not taken into considerations.
Therefore, The shape of the population can be disregarded when working with sampling distribution of sample mean.
The correct option is Option D)
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todd boards a ferris wheel at the 3-o'clock position and rides the ferris wheel for several rotations. the ferris wheel has a radius of 10 meters, and when todd boards the ferris wheel he is 14 meters above the ground. imagine an angle with its vertex at the center of the ferris wheel that subtends the path todd travels.
Therefore the the time todd needed to complete one full rotation around the Ferris wheel is 0.785min
What is equation?There are numerous ways to define an equation in mathematics. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. In the equation 2x + 4 = 14, for example, the two expressions 2x + 4 and 14 are separated by the symbol "equal." Mathematical variables are used in even the simplest and most basic mathematical equations.
Here,
the ferris wheel radius = 10 meters
and he is 14 meters above the ground.
So we can build an equation with given data to find the time todd needed to complete one full rotation around the Ferris wheel
thus time is represented as t
Therefore ,the Ferris wheel rotates at a constant rate so that the angle sweeps out & radians per minute
so speed =8 rad/min
t=distance/speed
t=2[tex]\pi[/tex]/8 min
t=0.785min
Therefore the the time todd needed to complete one full rotation around the Ferris wheel is 0.785min
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In a genetics class, 7 students have GREEN eyes, 4 students have BLUE eyes, and 10 have HAZEL eyes. If a single student is picked at random, what is the probability that their eyes are BLUE or HAZEL?
Provide the final answer as a simplified fraction.
Answer:
1/14
Step-by-step explanation:
all together the probability would be 1/21 because we're adding all the color eyes together. After that, it narrows to only blue and hazel which is 14 so the new probability is 1/14, so the answer is 1/14.
The radius of a spherical watermelon is growing at a constant rate of 2 centimeters per week. The thickness of the rind is always one tenth of the radius. The volume of the rind is growing at the rate _________ cubic centimeters per week at the end of the fifth week. Assume that the radius is initially zero.
The volume of the rind is growing at the rate 681.097 cubic centimeters per week at the end of the fifth week.
In the given question, the radius of a spherical watermelon is growing at a constant rate of 2 centimeters per week.
The thickness of the rind is always one tenth of the radius.
We have to find the volume of the rind is growing at the rate cubic centimeters per week at the end of the fifth week.
Assume that the radius is initially zero.
Let r be the radius of watermelon.
dr/dt = 2 cm/week
Radius after 5 week = 10 cm
Thickness of the rind = r/10 cm = 0.1r cm
Now the volume of rind
V = 4/3 π[r^3-(0.9r)^3]
dV/dt = 4/3 π[3r^2-3r^2(0.9)^3]dr/dt
dV/dt = 4/3 π[1-(0.9)^3](3r^3)(2)
dV/dt = 8(3.14)(0.271)(10)^3
dV/dt = 8(3.14)(0.271)(1000)
dV/dt = 681.097 cm^3/ week.
Hence, the volume of the rind is growing at the rate 681.097 cubic centimeters per week at the end of the fifth week.
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3) A jewelry store sells a popular line of charm
bracelets. Each bracelet includes one chain and a
number of charms selected by the customer. The
price of the chain is 20 dollars, and each charm costs
c dollars. Write an expression that represents the
scenario.
4
Answer:
Step-by-step explanation:
Winnie, a waitress, holds a 5.0-N tray stacked with twelve 3.5-N dishes in one hand. The
length of her arm from her hand to her elbow is 30.0 cm and her bicepts exert a force 5.0 cm
from her elbow, which acts as a fulcrum. How much force must her biceps exert to allow her to
hold the tray?
The force exerted by her biceps to allow her hold the tray is 282 N.
What is force?Force is the product of mass and acceleration.
To calculate the force the biceps must exert to allow her hold the tray, we use the formula below.
Formula:
Fd = F'd'....................... Equation 1Where:
F = Weight of the tray and the platesd = Distance of her hand to her elbowF' = Force exerted by the biceptsd' = Distance of her biceps to the elbow.From the question,
Given:
F = 5+12(3.5) = 47 Nd = 30 cmd' = 5 cmSubstitute these values into equation 1 and solve for F'
47×30 = F'×5F' = 47×30/5F' = 282 NHence, the force exerted by her biceps is 282 N.
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et p be prime. determine the number of polynomials of the form x2 ax b which are [15 pts] irreducible over zp.
We observe that there are p² polynomials of the form x² + ax + b in Zp.
Since there are p choices for each of a and b.
Now a polynomial which is reducible over Zp may be rewritten in the form
(x - c)(x - d)
where c and d are roots.
So there are p choices if c = d
and if c ≠ d then there are [tex]\frac{p(p-1)}{2}[/tex] choices, the division of 2 eliminates repeated pairs.
Therefore there are p² - ( p + [tex]\frac{p(p-1)}{2}[/tex]) polynomials irreducible over Zp.
A polynomial is said to be irreducible if it cannot be factored into nontrivial polynomials over the same field. The property of irreducibly depends on the field or ring to which the coefficients are considered to belong. Irreducible polynomials appear naturally in polynomial factorization and algebraic field extension.
A polynomial expressible as the product of two or more polynomials of lower degree is known as Reducible polynomial.
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with double-digit annual percentage increases in the cost of health insurance, more and more workers are likely to lack health insurance coverage (usa today, january 23, 2004). the following sample data provide a comparison of workers with and without health insurance coverage for small, medium, and large companies. for the purposes of this study, small companies are companies that have fewer than 100 employees. medium companies have 100 to 999 employees, and large companies have 1000 or more employees. sample data are reported for 50 employees of small companies, 75 employees of medium companies, and 100 employees of large companies. health insurance size of company yes no total small 37 13 50 medium 64 11 75 large 88 12 100 Conduct a test of independence to determine whether employee health insurance coverage is independent of the size of the company. Use = .05.
Compute the value of the 2 test statistic (to 2 decimals).
The p value is Selectless than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 2
What is your conclusion?
SelectConclude health insurance coverage is not independent of the size of the companyCannot reject the assumption that health insurance coverage and size of the company are independentItem 3
The USA Today article indicated employees of small companies are more likely to lack health insurance coverage. Calculate the percentages of employees without health insurance based on company size (to the nearest whole number).
Small %
Medium %
Large %
Based on the percentages calculated above, what can you conclude?
SelectLarge companies have a higher percentage of no coverage than medium and small companiesMedium companies have a higher percentage of no coverage than large and small companiesSmall companies have a higher percentage of no coverage than large and medium companiesSmall, medium, and large companies all have roughly the same percentage of no coverage
The value of the test statistics is , χ² = 15.3902
The value of P is less than 0.005 and the conclusion which we can draw from this is that the health insurance coverage is depending on the size of the business in point a.
The percentages of employees without health insurance based on company size for small , medium and large companies is ,
Small%= 33/50= 0.66Medium%=68/75 =0.91Large%= 88/100= 0.88We established our null hypothesis and alternate hypothesis as
H0: The availability of health insurance for employees is unrelated to the size of the business
H1 :The availability of employee health insurance is depending on the size of the business.
2) The alpha level for significance is set at 0.05.
3) The H0 test statistic is
O is the measured frequency, and E is the anticipated frequency, so that 2 = (O - E)2/E
This has a chi-square distribution that is around (3-1) (2-1)= 2 d.f.
We reject the null hypothesis that employee health insurance coverage is NOT independent of the size of the company because the calculated 2 = 15.3902 falls in the critical area 2 5.99.
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan.
Find the missing part.
The missing part of the triangle are x = 7.5 units, y = (7.5√3)/2 units, y = (7.5√3)/2 units, z = (15√3)/2 units, a = 3.75 units and b = 11.25 units
How to find the missing part of the triangle?Given: c = a+b = 15, X = 30°, Z = 60°, C = 90° for the triangles
Using the sine rule
x/sin X = z/sin Z = c/sin C
x/sin X = c/sin C
x/sin30 = 15/sin90
x/0.5 = 15/1
x = 0.5 × 15 = 7.5 units
Using trigonometrical ratio:
sin 60 = y/x
(√3)/2 = y/7.5
y = (7.5√3)/2 units
sin 30 = y/z
1/2 = (7.5√3)/2/z
z = [(7.5√3)/2] / (1/2)
z = (15√3)/2 units
cos 30 = b/z
(√3)/2 = b/(15√3)/2
b = [(√3)/2] × [(15√3)/2]
b = 45/4 = 11.25 units
a+b = 15
11.25 + b = 15
a = 15 - 11.25
a = 3.75 units
b = 45/4 = 11.25 units
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What are the factors of 36xyz?
Answer:
1
Step-by-step explanation:
Find Θ in radians:
(Use \large \pi=3.14 when necessary and round your final answer to the tenths.)
Θ =
Angle θ in radians is 12/5 or 2.4 radians.
Define Arc Length
Arc length is more accurately described as the length along the perimeter of any circle or curve (arc). The arc length is the measurement of any distance along the curved path that forms the arc. Arc refers to a segment of a curve or the circumference of a circle. Each of them is shaped like a curve. An arc's length is more than the distance in a straight line between its endpoints (a chord).
Given,
radius = 5 cm
length of arc = 12 cm
We know that,
θ = length of arc / radius
Now, plug in the values
θ = 12 / 5 or 2.4 radians
Hence,angle θ in radians is 12/5 or 2.4 radians.
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Answer: 2.4
Step-by-step explanation:
radius = 5 cm
length of arc = 12 cm
θ = length of arc / radius
θ = 12 / 5 or 2.4 radians
2.4 radians
The heights (in cm) of 17 students are, 106,110,123,125,117,120,112, 115,110,120,115, 102, 115,115,109,115 and 101. Find the mean and median of the above data.
brainiest marked
Answer:To find the mean of the heights of the 17 students, we need to add up all of the heights and divide the sum by the number of students. The sum of the heights is 1777 cm, and when we divide this by 17, we get a mean height of 104 cm.
To find the median of the heights of the 17 students, we first need to put the heights in order from least to greatest. The heights in order are 101,102,106,109,110,110,112,115,115,115,115,115,117,120,120,123,125. There are 17 students, so the median is the height of the 9th student, which is 115 cm.
Step-by-step explanation:
Estimate the product.
0.99 X 45
Answer: 44.55
Step-by-step explanation:
Julie is considering enrolling in two courses: physics and chemistry. There is a 10% chance she will enroll in physics and a 45% chance she will not enroll in physics but enroll in chemistry. Given that her decision of enrolling in a course is independent of enrolling in other courses, find the probability she will not enroll in chemistry? Assume Event A: she enrolls in physics; Event B: she enrolls in chemistry.
If the decision of enrolling in the course in independent events, the probability of not enroll in chemistry is 0.55
The chances of enroll in physics = 10%
The chances of the not enroll in physics but enroll in chemistry = 45%
The probability is the ratio of the number of favorable outcomes to the total number of outcomes
The probability = Number of favorable outcomes / Total number of outcomes
Given that her decision of enrolling in a course is independent of enrolling in other courses
The probability of not enroll in chemistry = 1 - The probability of enroll in chemistry
Substitute the value in the equation
The probability of not enroll in chemistry = 1 - 0.45
= 0.55
Therefore, the probability of not enroll in chemistry is 0.55
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predict whether you think this a fair game or not. explain your response. 2. play the game 5 times. 3. now do you think the game if fair or not? justify your response. if you think the game is not fair, explain how to change the game to make it fair. 4. comment to your group partner responses and make the final conclusion.
A game that has an equal probability of winning or losing is said to be fair.
What attributes define a fair game?The foundational elements of fair play can be observed and learned both on and off the field, and include honesty, solidarity, tolerance, care, excellence, and joy. Fair competition, respect, camaraderie, team spirit, equality, and sport without doping are also examples.
A simple game of chance is deemed fair if there is an equal chance of winning for each player. If there is an equal chance of selecting each alternative, the decision is fair. Your understanding of probability can help you evaluate the fairness of games and make just decisions.
Children love playing together more when everyone is being fair. Additionally, it plays a significant role in getting along with people.
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Write the equation in standard form.
2y+3=−1/3(x−2)
The given equation can be written in standard form as x + 6y + 11 = 0.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The given equation is 2y + 3 = −1/3 (x − 2).
It can be written in the standard form of ax + by + c = 0 as follows,
2y + 3 = −1/3 (x − 2)
=> 3(2y + 3) = -1(x − 2)
=> 6y + 9 = 2 - x
=> 6y + x + 9 + 2 = 0
=> x + 6y + 11 = 0
Hence, the standard form of the given equation is x + 6y + 11 = 0.
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Is 2x + y = 10 a linear function
Answer:
yes
Step-by-step explanation:
Find the sixth number in this sequence. (a.) The fourth number is equal to 3x10. (b.) The second number is equal to 10+6. (c.) The Third number is halfway between the second and fourth numbers. (d.) The fifth number is 7 more than the fourth number.
The sixth term of the sequence 9, 16,23,30,37 is 44
What is arithmetic sequence?An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 2, 4, 6, 8, 10, 12.. . is an arithmetic progression with a common difference of 2.
The nth term of an arithmetic sequence is given as a+(n-1)d. Where d is the common difference and a is the first term.
fourth term = 30
second term = 16
third term = (30+16)/2 = 46/2 = 23
therefore d= 30-23 = 7
a = 16-7 = 9
therefore the sixth term = 9+(6-1)7= 9+5×7 = 9+35= 44.
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Diving. Refer to the illustration in the next column. The velocity v of an object in feet per second after it has fallen a distance of d feet is approximated by the function . v(d) = √64,4d. Olympic diving platforms are 10 meters tall (approximately 32.8 feet). Estimate the velocity at which a diver hits the water from this height. Round to the nearest foot per second.
The velocity at which the diver hits the water is 45.96 feet/s.
The velocity of an object is in feet per sec after it has fallen a distance of d feet is approximated by the function v(d) = √64.4d
Given that, height of olympic diving platform d = 10 m = 32.8 feet
We know that, v(d) = √64.4d and d = 32.8
So, substituting in the above function, we have
v(d) = √64.4d
⇒ √64.4 * 32.8
⇒ √ 2112.32
⇒ 45.96 feet/s
Thus, the velocity at which the diver hits the water is 45.96 feet/s.
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What’s the answer please help
A bank put $50 into a savings account when you opened the account. 12 weeks later, you have a total of $275. a. If y is the total amount of money in the savings account and x represents the number of weeks, write an equation in the form of y=mx+b that describes the situation. Be sure to show or explain how you got your answer.
Answer:
In this problem, we are looking for an equation in the form of y = mx + b that describes the situation where a bank puts $50 into a savings account when it is opened and 12 weeks later, the account has a total of $275.
To find the equation, we need to find the slope (m) and the y-intercept (b). The y-intercept is the point at which the line crosses the y-axis, which in this case is the initial amount of money in the account ($50). The slope is the rate at which the amount of money in the account is changing over time.
To find the slope, we can use the following formula:
slope = (y2 - y1) / (x2 - x1)
In this case, y2 is the total amount of money in the account after 12 weeks ($275), y1 is the initial amount of money in the account ($50), x2 is the number of weeks after the account is opened (12 weeks), and x1 is the number of weeks before the account is opened (0 weeks).
Plugging these values into the formula, we get:
slope = (275 - 50) / (12 - 0) = 225 / 12 = 18.75
Now that we have the slope, we can plug it into the equation y = mx + b, along with the y-intercept (b = 50), to get the final equation:
y = 18.75x + 50
This equation represents the situation described in the problem, where the bank puts $50 into a savings account when it is opened and 12 weeks later, the account has a total of $275.
