Answer:
The greatest possible number of boxes that he needs is 4 boxes.
Step-by-step explanation:
This question is to be solved using the method of Greatest Common Factor (GCF). This is because the question asked us to find the greatest possible number of boxes so that each box has the same number of jars
Vincent has 12 jars of grape jam, 16 jars of strawberry jam, and 24 jars of raspberry jam.
Using the Greatest Common Factor method, the first step would be to determine the factors of 12, 16 and 24
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
Then the greatest common factor is given as: 4.
Therefore, the number of boxes that he needs is 4 boxes
I have n nickels, d dimes and q quarters. In total i have 18 coins. I have twice as many nickels as dimes. Express n times d times q in terms of the number of nickels.
The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .
In the question ,
it is given that ,
there are n nickels , d dimes , q quarters .
Also given that there is twice as many nickels as dimes ,
that means , n = 2d
So , d = n/2
also that total number of coins = 18 ,
So , n + d + q = 18
n + n/2 + q = 18
q = 18 - 3n/2
we need to find , n times d times q in terms of the number of nickels.
that means
= n × d × q
= n × n/2 × 18 - 3n/2
= n × n/2 × (36 - 3n)/2
= (n × n×(36 - 3n))/2×2
= n²(36-3n)/4
Therefore , The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .
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translation (x,y) (x+1,y+5)
N (-4,-2) V (-1,-1) Q (-4,-5)
.....//////11111122222222
Please help me with these
Answer:
a=-16/9
m=26/9
k=-71/20
Step-by-step explanation:
Which data distribution would most likely have a mean and median that are not close in value? Bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 8. The second bar is 30. The third bar is 42. The fourth bar is 29. The fifth bar is 9. Bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 21. The second bar is 44. The third bar is 35. The fourth bar is 45. The fifth bar is 20. A bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 38. The second bar is 43. The third bar is 21. The fourth bar is 5. The fifth bar is 1.
Answer:
The third one.
Step-by-step explanation:
The last bar graph is skewed to the right, since the values of its fourth and fifth bars are way smaller than the values of its first, second, and third graphs. The drastically smaller values pull down the mean of the last bar graph, making it be more different from the median.
Comparatively, bar graphs one and two have approximately symmetrical distributions of numbers on both sides of the central bar. This means that their mean is balanced out on both sides and that neither of them is significantly skewed left or right.
A bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 38. The second bar is 43. The third bar is 21. The fourth bar is 5. The fifth bar is 1 is data distribution would most likely have a mean and median that are not close in value.
We have to determine, which data distribution would most likely have a mean and median that are not close in value.
According to the question,
The mean and the median both reflect the skewing, but the mean reflects it more.
The last bar graph is skewed to the right since the values of its fourth and fifth bars are way smaller than the values of its first, second, and third graphs.
The drastically smaller values pull down the mean of the last bar graph, making it be more different from the median.
The mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median.
Bar graphs one and two have approximately symmetrical distributions on both sides of the central bar.
This means that their mean is balanced out on both sides and that neither of them is significantly skewed left or right.
Hence, The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 38. The second bar is 43. The third bar is 21. The fourth bar is 5. The fifth bar is 1.
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Megan is buying 168 balloons for a large party. At Jamie's Party Store, balloons are sold in packs of 12 and packs of 36. Costs for each pack are shown. 36 $11.88 12 $5.16 How many packs of 12 and 36 balloons should Megan buy from Jamie's Party Store to spend the least amount of money? Megan should buy packs of 36 balloons, and packs of 12 balloons.
Answer:
$57.84
Step-by-step explanation:
Balloons needed = 168
Cost of 36 balloons per pack = $11.88
Cost of 12 balloons per pack = $5.16
cost per balloon
36 per pack = $11.88 / 36
= $0.33
12 per pack = $5.16 / 12
= $0.43
In order to minimize cost, she should buy as many packs of 36 per pack balloon
36 per pack × 1 pack = 36
36 per pack × 2 packs = 72
36 per pack × 3 packs = 108
36 per pack × 4 packs = 144
36 per pack × 5 packs = 180
The required number of balloons is 168
So, the number of possible 36 packs to buy is 4, that is, 144 balloons
Balloons remaining = 168 - 144
= 24
Possible packs of 12 balloons per pack possible is
12 per pack × 1 pack = 12
12 per pack × 2 packs = 24
Therefore, Megan needs to buy 4 packs of 36 balloons per pack and 2 packs of 12 balloons per pack
Cost of 4 packs of 36 balloons per pack = 4 × $11.88
= $47.52
Cost of 2 packs of 12 balloons per pack = 2 × $5.16
= $10.32
Total cost = $47.52 + $10.32
= $57.84
Solve the proportion x+1/2=21/14 x=
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
x+1/2=21/14
x = ?
Step 02:
\(\frac{x+1}{2}=\frac{21}{14}\)14 (x + 1 ) = 2 * 21
14x + 14 = 42
14x = 42 - 14
x = 28 / 14
x = 2
The answer is:
The value of x is 2
.The management of KSmall Industries is considering a new method of assembling a computer. The current assembling method requires a mean time of 88 minutes with a standard deviation of 7.9 minutes. Using the new method, the mean assembly time for a random sample of 24 computers was 72 minutes.
What is the probability of a Type II error? (Round "Critical values" to 2 decimal places and round your final answer to 4 decimal places.)
The probability of a type II error is β = P(accept H0 | H1 is true) = P(z > -2.07) = 0.9818. Hence, the correct option is (a) 0.9818.
Given, Current mean time = 88 minutes
Standard deviation = 7.9 minutes
New method mean assembly time for a sample of 24 computers = 72 minutes
Hypotheses: The hypotheses are:H0: µ ≥ 88 (the current method is used)H1: µ < 88 (the new method is used)
Sample size is n = 24
The level of significance α is not given, so we assume it as 0.05, i.e., α = 0.05.
Firstly, we need to calculate the critical values of the test.
To calculate the critical values of the test, we need to calculate the standard error of the sample mean: Standard error of the sample mean= σ/√n = 7.9/√24=1.61Then, the test statistic is given by: z = (x - µ) / (σ / √n) where x is the sample mean.
The sample mean is x = 72.z = (72 - 88) / (7.9 / √24) = -4.56
The critical value of z for a left-tailed test with α = 0.05 is -1.645.
Now, to find the probability of a type II error, we need to find the probability of not rejecting the null hypothesis when it is false.
That is, the probability of accepting the current method when the new method is used.
The probability of a type II error is given by: β = P(accept H0 | H1 is true)
We need to find the probability of accepting H0 when µ < 88. This probability depends on the true value of the mean assembly time under the new method.
Let's consider that the new method has a mean assembly time of 80 minutes, i.e., µ = 80.
Then, the probability of not rejecting H0 is the probability of a z-score less than -1.645 - the critical value of z.z = (72 - 80) / (7.9 / √24) = -2.07P(z > -2.07) = 0.9818
Therefore, the probability of a type II error is β = P(accept H0 | H1 is true) = P(z > -2.07) = 0.9818. Hence, the correct option is (a) 0.9818.
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Somebody please help me
Answer:
169 \(cm^2\)
Step-by-step explanation:
The surface area is the two-dimensional distance around a figure. In essence, if one was going to wrap the figure in paper, the surface area would be the amount of paper one would need. To find the surface area, one would have to find the area of each individual face, and add up the values.
(7) * (5) = (35)
(9) * (5) = (45)
(7) * (5) = (35)
(\(\frac{1}{2}\)) * (6) * (9) = (27)
(\(\frac{1}{2}\)) * (6) * (9) = (27)
Add up all of the values:
(35) + (45) + (35) + (27) + (27) = 169
pleawe help kqkakakakakakaka
Answer:
-16
Step-by-step explanation:
ez if not u baka
Answer:
use the raditon theroem, 24x^2025x/ax-2 mulitplied by tan is equal to A)-16
The rate of change in the population of birds is given by dp/dt= 0.016P, where t is time, in years. Approximately how many years will it take for the population of birds to increase by 50%? a.25.342 b.31.250 c.43.321 d.93.750
The population of birds to increase by 50% in 31.25 years.
The differential equation for the population of birds is:
dp/dt = 0.016P
where P is the population of birds and t is time in years.
To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.
Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.
Then we have:
P1 = 1.5P0 (since P increases by 50%)
We can solve for t by integrating the differential equation:
dp/P = 0.016 dt
Integrating both sides, we get:
ln(P) = 0.016t + C
where C is the constant of integration.
To obtain the value of C, we can use the initial condition that the population at t=0 is P0:
ln(P0) = C
Substituting this into the previous equation, we get:
ln(P) = 0.016t + ln(P0)
Taking the exponential of both sides, we get
:P = P0 * e^(0.016t)
Now we can substitute P1 = 1.5P0 and solve for t:
1.5P0 = P0 * e^(0.016t
Dividing both sides by P0, we get:
1.5 = e^(0.016t)
Taking the natural logarithm of both sides, we get:
ln(1.5) = 0.016t
Solving for t, we get:
t = ln(1.5)/0.016
Using a calculator, we get:
t ≈ 31.25 years
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if the cost of 1 pen is 15.75, find the cost of 7 pens
Answer:
110.25
Step-by-step explanation:
Cost of 1 pen = 15.75
Cost of 7 pens = 15.75 × 7 = 110.25
Answer:
$110.25
Step-by-step explanation:
1 pen = $15.75
7 pens x $15.75 = $110.25
(this pen is expensive t.f)
Graph the line with y-intercept -7 and slope 3/2
We are given the slope and the y-intercept so using the slope-intercept form:
y = mx + b, where m- slope, b- y-intercept.Substitute values to get:
y = (3/2)x - 7To graph a line we need two points, one is given, (0, - 7) - the y-intercept.
Find one more point, take even value of x to cancel the fraction, let it be x = 4, find its y-coordinate:
y = (3/2)*4 - 7 = 6 - 7 = - 1So our points are:
A(0, - 7) and B(4, - 1)Plot the points and connect to graph the line.
See below.
The graph of the linear equation:y = (3/2)*x - 7 can be seen in the image at the end.
How to graph the linear equation?A general linear equation is written as:y = a*x + b
Where a is the slope and b is the y-intercept. Then our linear equation is:y = (3/2)*x - 7
To graph it, we need to know two points in our line, to do so, we evaluate it in two different values of x. if x = 0y = (3/2)*0 - 7y = -7So we have the point (0, -7)
And if x = 2 then:y = (3/2)*2 - 7y = 3 - 7y = -4So we have the point (2, -4)
Now we just need to graph these two points and connect them with a line. You can see the graph below.
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PLSSS HELP SOLVE FOR X
Answer:
Below
Step-by-step explanation:
It is a RIGHT triangle so you can use the Pyhtaogrean Theorem
hypotenuse^2 = leg1^2 + leg2^2 Sub in the values given:
x^2 = 19^2 + 16^2
x ^2 = 617
x = sqrt (617) ( or 24.84 units)
Madison is given rectangle ABCD with one diagonal BD
Answer:
i. Rotate
ii. Translates
Step-by-step explanation:
Rigid transformations are the methods required in which the orientation, dimension, position, or size of a given figure can be transformed. Some types of rigid transformation are: rotation, translation, reflection, etc.
From the given question, the two rigid transformation procedure required for Madison to prove that ΔABD ≅ ΔCDB by rigid transformations are: rotation and translation.
Madison decides to rotate ΔABD \(180^{o}\) about point B to create triangle A'B'D'. Next she translates A'B'D' along diagonal BD until point B' from ΔA'B'D' lines up with point d from ΔCDB.
Therefore,
ΔABD ≅ ΔCDB
in which of the following ways are binomial distributions and hypergeometric distributions similar? multiple select question. they are both discrete distributions. they both have two possible outcomes: success or failure. the probability of success is constant in each trial. they both assume each trial is independent of each other.
Binomial distributions and hypergeometric distributions are similar in that they both have two possible outcomes (success or failure) and the probability of success is constant in each trial. They also both assume that each trial is independent of each other.
Both binomial distributions and hypergeometric distributions are similar in the following ways: they are both discrete distributions, they both have two possible outcomes (success or failure), the probability of success is constant in each trial, and they both assume that each trial is independent of each other.
A binomial distribution is a probability distribution that models the number of successes in a given number of independent trials with the same probability of success for each trial. In a binomial distribution, the random variable X is the number of successes in the given number of trials.
The probability of a success for each trial remains constant. The mean and variance of the binomial distribution are given by the formula: μ = np and σ2 = npq, respectively.
A hypergeometric distribution is a probability distribution that models the probability of selecting a certain number of successes in a given number of draws from a finite population without replacement. In a hypergeometric distribution, the random variable X is the number of successes in the given number of draws.
The probability of a success for each draw remains constant.
The mean and variance of the hypergeometric distribution are given by the formula: μ = nx/N and σ2 = nx(N-n)(N-x)/N2(N-1), respectively.
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Megan buys condiments in bulk for her restaurant. The company that she orders ketchup from charges $14.78 per gallon for orders less than 8 gallons. For orders of 8 gallons or more, the cost is $11.99 per gallon of ketchup. Which function represents this situation?
side note: f(x)= blank
Answer:
Below
Step-by-step explanation:
● Orders of 8 gallons or more can be modeled as: x》 8
● For each gallons in the situation above the company charges 11.99 per gallon so: 11.99x
● For orders that are less than 8, the comapny charges 14.78 per gallon
● => 14.78x for x < 8
So the function that represent the situation is the second one
What mathematical term describes both 5. 3 and 8. 2 in the expression 5. 3x-8. 2y+11. 1?
Answer:
coefficients
Step-by-step explanation:
5.3 and 8.2 are coefficients since they are in front of an x and a y.
x and y are called variables.
any number on its own, ie without an x or y, is called a constant
upper limit of 40 to 50
Answer:
So the class mark of class interval 30 - 40 is " 35 "
-10y + 9x = -9
10y + 5x = -5
Can someone help me with these to problems
pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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simplify: (12x+7)-(3x+4)
Answer:
12x+7-3x+4
you will group items.
12x-3x+7+4
9x+11
Solve the absolute value inequality: [X + 12[ +5 <27
Isolate the absolute value by subtracting 5 from both sides.
18+71<27
18+71<22
|x + 12[ < 22
|x + 121 > 22
Answer:
Option C.
Step-by-step explanation:
The given absolute value inequality is
\(|x+12|+5<27\)
Isolate the absolute value by subtracting 5 from both sides.
\(|x+12|+5-5<27-5\)
\(|x+12|+0<22\)
\(|x+12|<22\)
Therefore, the correct option is C.
We can further solve this, to find the solution of the given inequality.
\(-22<x+12<22\)
Subtract 12 from each sides.
\(-22-12<x+12-12<22-12\)
\(-34<x<10\)
The solution of given inequality is \(-34<x<10\).
PLEASE ANSWER QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which expression represents "2 less than the product of 5 and a number"?
Responses
5+n−2
5 plus n minus 2
5n−2
5 over n end fraction minus 2
2−5n
2 minus 5 n
5n−2
HELP PLEASE
Solve this equation by completing the square.
x² - 4x-10 = -2
Answer:x=2+2√3 OR x=2−2√3
Step-by-step explanation: The answer is too long to write down. For complete step-by-step, go to mathpapa algebra calculator and type in your question. It would be a bit too long and difficult to write down.
Hope this helps
BRAINLIEST please?
Find the value of the monomial.
-8m^4 n^4 for m = 0.5 and n =2
The value of the given monomial, -8\(m^{4}n^{4}\), when m = 0.5 and n = 2 is -8.
According to the question,
We have the following monomial:
-8\(m^{4} n^{4}\)
We have m = 0.5 and n = 2.
Now, putting these values of m and n in the monomial:
-8 \((0.5)^{4} (2)^{4}\)
(Please note that when a power is there on a number then it means that to solve the expression we have to multiply the base as many times as the given power. For example, in this case, we will multiply 2 four times and the result will be 16. This concept is applicable to every expression we are solving whether the base is in decimal or in fraction or a integer.)
-8*0.0625*16
-128*0.0625
-8
Hence, the value of the given monomial is -8.
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Mayte es una estudiante extranjera y recibe de
sus padres $977 por semana. Ella ahorra $200 y
el resto lo distribuye entre los 7 días de la semana,
¿cuánto dinero puede gastar diariamente?
The amount of money Mayte can spend on a daily basis is given by $ 111 .
Sellers and purchasers of products and services both accept money as a form of payment. When we purchase goods like food, clothing, a house, groceries, etc., we provide money in exchange. We exchange money for everything we buy. This is a straightforward swap.
In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each. The division sign, "," or occasionally "/," is used in computer code.
Mayte get a total money of $977 from her parents so,
total = 977
She saves $200 for herself so now the remaining sum is
977 - 200 = 777
The rest she has to distribute in 7 days so, by using the simple dividation rule we get,
777/7 = 111
Therefore, much money can you spend daily is $111.
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Complete question:
Mayte is a foreign student and receives his parents $977 per week. She saves $200 and the rest is distributed among the 7 days of the week, How much money can you spend daily?
HOW MANY ELEMENTS DOES A TRIANGLE HAS
?
Answer:
6
Step-by-step explanation:
3 sides, 3 angles.
From the top of a tower of height 65m, a man sees two goats both due west to him. If the angles of depression of the two goats are 15 degrees and 20 degrees, calculate the distance between them.
Answer:
In picture
Step-by-step explanation:
Brainliest please~Thank you
Match each business message to the best delivery method.
We are writing to thank you for providing the support we
needed to meet our delivery targets last week.
Listen up: The Big Shoe store is announcing a storewide
clearance sale!
All employees must obey these updated company Internet
usage policies.
Follow us to learn more about our scuba diving classes for
beginning and advanced divers!
letter
arrowRight
memo
arrowRight
social media
arrowRight
radio
arrowRight
Answer:
The correct pair matching each type of letter to its correct description would be as follows:
send it to favorably influence employers’ decision on hiring you - thank you letter
state how you meet the job requirements - cover letter
send 3-5 days after submitting your application or résumé - follow-up letter
express your desire to work for a particular company - letter of interest
A 'thank you' letter is a letter written to admit gratefulness for a favor that has been done. It can also be written in anticipation of a favor to be done. Hence, writing it to a potential employer after an interview is a way of trying to influence the employer's decision on hiring you.
A cover letter, as it relates to job application, is a letter written to express how one meets the requirement for a job. In it, a job seeker would state their qualifications, skills, and experience as it relates to the job they are applying for.
A follow-up letter is usually written to follow up with a situation that one expects that a response should have been given or written just to further emphasize one's interest in something. Writing a follow-up letter after submitting an application for a job is a way of reminding potential employers of one's desire to take up a job in their firm.
A letter of interest is written to show a desire to work in a particular organization or company irrespective of whether they have got a vacancy.
Step-by-step explanation:
Answer:
Step-by-step explanation: