The required expression is 16(3 + 1) can be expressed as c(a + b) where 16 is the greatest common factor of 48 and 16.
What is the Greatest Common Factor (GCF)?The greatest Common Factor is defined as the greatest number that is a factor of both numbers when two numbers are involved.
To determine the greatest common factor (GCF) of 48 and 16, we can list the factors of each number and then find the largest number that they have in common.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48, and the factors of 16 are 1, 2, 4, 8, and 16.
The largest number that both 48 and 16 have in common is 3, so c = 3.
Now we need to find a and b. The property of GCF is that it divides both numbers. So, we divide 48 by 16 and get 3 and divide 16 by 16 and get 1.
So, (48 + 16) can be expressed as c(a + b) = 16(3 + 1) = 16 × 4 = 64
Hence, the correct answer would be an option (B).
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What single decimal multiplier would you use to increase by 15% followed by a 17% decrease?
Answer:
0.9545
Step-by-step explanation:
Let an integer be x.
If x is increased by 15%, then the value of the number would be
115/100x=1.15x
If 1.15x is decreased by 17%, then the value of the number would be:
(100-17)/100×1.15x
83/100×1.15x=0.9545x
Answer:
0.9545
Step-by-step explanation:
15 % increase
1.15 times17% decrease
0.83 timesincrease followed by decrease
1.15*0.83= 0.9545Factor and Solve.
x^4-11x^2+18=0
Last option is the correct answer
x= √2, −√2, 3, −3
Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
Answer:
See below
Step-by-step explanation:
Adding 5 to the function means there's a vertical shift of 5. For example, if f(x)=x^2, then g(x)=f(x)+5 makes g(x) 5 units above f(x)
Which line segment is a reflection of AB in the x-axis?
I say that the answer is E,F
answer the following, Round final answer to 4 decimal places. a.) Which of the following is the correct wording for the randon variable? r×= the percentage of all people in favor of a new building project rv= the number of people who are in favor of a new building project r N= the number of people polled r×= the number of people out of 10 who are in favor of a new building project b.) What is the probability that exactly 4 of them favor the new building project? c.) What is the probabilitv that less than 4 of them favor the new building project? d.) What is the probabilitv that more than 4 of them favor the new building project? e.) What is the probabilitv that exactly 6 of them favor the new building project? f.) What is the probability that at least 6 of them favor the new building project? 8.) What is the probabilitv that at most 6 of them favor the new building project?
In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.
a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.
b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.
c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.
d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).
e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.
f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
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Anyone know how to do this? Help please!
Answer: 40
Step-by-step explanation: The angle on the straight line is 180, you have 140 the other angle is 180-40. It is also equal to the alternate angle shown
Define the following sets: A = {1,3,7,9,10) B = {2,5,7,8,9,10} C = {0,1,3,10) D = {2,4,6,8,10} E = {x: x is a negative natural number} F = {0} Find BnF. {0} none of the choices O {} {7,10)
The intersection (B ∩ F) of sets B and F can be determined by finding the elements that are common to both sets. In this case, B = {2, 5, 7, 8, 9, 10} and F = {0}.
Upon comparing the two sets, we can see that the only common element between B and F is 0. Therefore, the intersection (B ∩ F) is {0}.
Set B contains the elements {2, 5, 7, 8, 9, 10}, and set F contains the element {0}. To find the intersection of these two sets, we need to identify the elements that appear in both sets. In this case, the only element that appears in both B and F is 0. Hence, the intersection (B ∩ F) is {0}.
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Can someone help me please this is my last one
Answer:
Domain and range: [0, ∞)
Step-by-step explanation:
There is no limit to the number of concert tickets someone can buy, but there cannot be negative concert tickets. The domain, or what the input can be, is [0, ∞) as it can be greater than or equal to 0
The range is the total cost, or what the output can be. Since the total cost is the number of tickets multiplied by 55 (as it is $55 per ticket), this can be represented by 55 * number of tickets. The total cost cannot be negative, but it can be 0 if no one buys tickets. As there is no limit to the amount of tickets someone can buy, there is no limit to what the total cost could be, making the range [0, ∞)
) CE = 8.4
Find DF
A) 11.5
C) 8.4
Find the measure of the trapezoids diagonal DF.
C
D
41
B) 7.4
D) 6.1
E
F
The answer options A), C), B), D), and E) are all incorrect as they provide specific values for DF in trapezoids without enough information.
To find the length of DF, we need to analyze the given information about the trapezoid and use the properties of trapezoids.
In a trapezoid, the diagonals divide each other proportionally.
This means that if CE is a diagonal of the trapezoid and DF is the other diagonal, they divide each other proportionally.
Since CE = 8.4 and the length of the diagonal DF is required, we can use a proportion to solve for DF. The proportion can be set up as follows: CE / DF = CD / DE
We don't have the values for CD and DE directly, but we can see that DE is equivalent to CE, as it is the same diagonal.
Therefore, we have: CE / DF = CD / CE
Simplifying the proportion:(CE)^2 = DF * CD
Now, we substitute the known values:(8.4)^2 = DF * CDSolving for DF, we divide both sides of the equation by CD: DF = (8.4)^2 / CD
Since we don't have the value of CD, we cannot determine the exact length of DF.
Therefore, the correct answer cannot be determined based on the given information.
The answer options A), C), B), D), and E) are all incorrect as they provide specific values for DF without enough information.
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Rearrange 2y+6x=8 to make y the subject of the formula
Answer:
y= 3x+4
Step-by-step explanation:
2y-6x=8
add 6x to each side
2y-6x+6x=6x+8
2y= 6x+8
divide each side by 2
2y/2 = 6x/2 + 8/2
y= 3x+4
Answer:
y = 3x+4
Step-by-step explanation:
2y-6x=8
We want to solve for y
Add 6x to each side
2y-6x+6x=6x+8
2y = 6x+8
Divide each side by 2
2y/2 = 6x/2 +8/2
y = 3x+4
Hope this answer helps you :)
Have a great day
Mark brainliest
Solve for x. Round to the nearest tenth of a degree, if necessary.
\(~~~~~\sin \theta = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\\ \implies \sin x = \dfrac{HI}{GI}\\\\\\\implies \sin x = \dfrac{39}{62}\\\\\\\implies x= \sin^{-1} \left( \dfrac{39}{62} \right)\\\\\\\implies x =38.9^{\circ}\)
in its simplest form, kanban consists of a whiteboard divided into multiple columns. what are they titled?
The correct option for whiteboard of the Kanban are-
b) Planned; e) Done; f) WIP
Explain the term Kanbanboard?The work that needs to be done, that work that is being done, and the work that has been finished are all displayed on a Kanban Board.
It's a graphic representation of a person's, a team's, or a department's value stream, which has been diagrammed on a board, a wall, or specifically designed Kanban software.The purpose of the Kanban technique applied to knowledge management is the same as it was in manufacturing even though it was developed as a stock management tool in Toyota manufacturing: better visualize work, restrict work progress, optimize flow, and uncover improvement opportunities.Thus, the more visible a Kanban board is, the better; optimum outcomes are likely to be achieved when a team can always see it.
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The complete question is-
In its simplest form, Kanban consists of a whiteboard divided into multiple columns. What are they titled?
a) In Queue
b) Planned
c) Opened Ticket
d) Delayed
e) Done
f) WIP
Suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 80%. Which of these groups of numbers could represent a success?.
This means that the answer is D.
What is probability in math?
In everyday speech, the term "probability" refers to the likelihood that a specific event (or set of events) will take place, expressed as a number between 0 and 100% or as a linear scale from 0 (impossibility) to 1 (certainty). Statistics is the study of occurrences that follow a probability distribution.
How do you find the probability?The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.
According to the given question:-
Even though there aren't any actual options for this question, figuring out the right response should be simple. The quantity of numbers that will be listed is the "probability of success" that is being discussed here. We simply need to select the option with 8 of the 10 mentioned numbers since an 80% likelihood is what is being sought. This indicates that the solution is D. Hope this is useful!
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Answer:
Step-by-step explanation:
Are the following ratios equivalent? Explain.
2:10
6:60
Answer:
No
Step-by-step explanation:
it would 12:60
6x2=12
6x10=60
Answer:
they are not equivalent
Step-by-step explanation:
7 : 35
12 : 60
17 : 85
22 : 110
hear are ratios that are equivalent to 2:10
Please answer 1 - 3, Thank you!
Answer:
The area of the wall is 25ft
Step-by-step explanation:
to which sets of numbers dose-1/4 belong. select each correct answer.
A. rational numbers
B. irrational numbers
C. real numbers
D. integers
Answer:
Rational.
Step-by-step explanation:
Natural numbers are numbers 1 through infinite.
Whole numbers are numbers 0 through infinite.
Integers are negative numbers (No decimals nor fractions)
Rational numbers are fraction/decimal numbers (can be negative).
Irrational numbers are squared numbers.
Real numbers includes all of the above mentioned.
Hope this helps.
Answer:
A. rational numbers
Step-by-step explanation:
-1/4 belongs to rational number
PLEASE HELP ME ON THIS ALGEBRA PROBLEM!!!
which of the following inequalities orders the numbers 0.1, 0.04, and 1/6 from least to greatest?
Answer:
0.04 < 0.1 < 1/6
Step-by-step explanation:
I need help fast please
Answer:
The answer is D
suppose that from a standard deck, you draw three cards without replacement. what is the expected number of queens that you will draw?
The expected number of queens that you will draw from a standard deck of cards when drawing three cards without replacement is 0.469, or approximately half a queen.
To calculate the expected number of queens that you will draw from a standard deck of cards when drawing three cards without replacement, we can use the formula for expected value:
E(X) = Σ x * P(X = x)
where X is the random variable representing the number of queens drawn, x is the number of queens drawn (in this case, x can take on values of 0, 1, 2, or 3), and P(X = x) is the probability of drawing x queens.
To calculate the probability of drawing x queens, we can use the hypergeometric distribution, which is appropriate for this scenario.
The hypergeometric distribution describes the probability of drawing x successes (queens in this case) in a sample of n items (cards drawn in this case) without replacement from a population of N items (total cards in the deck in this case).
Using the hypergeometric distribution with N=52, n=3, and the number of successes (queens) as x, we get:
P(X = 0) = (48 choose 3) / (52 choose 3) = 0.5728
P(X = 1) = (4 choose 1) * (48 choose 2) / (52 choose 3) = 0.3855
P(X = 2) = (4 choose 2) * (48 choose 1) / (52 choose 3) = 0.0417
P(X = 3) = (4 choose 3) / (52 choose 3) = 0.0001
Plugging these probabilities into the formula for expected value, we get:
E(X) = 0 * 0.5728 + 1 * 0.3855 + 2 * 0.0417 + 3 * 0.0001
E(X) = 0.469
This means that on average, you would not expect to draw any queens in this scenario, but there is a small chance of drawing one or two queens.
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how many 7 digit phone numbers are there in which the digits are non-increasing? that is, every digit is less than or equal to the previous one.
Using the combination, 1716 are 7 digit phone numbers in which the digits are non-increasing and every digit is less than or equal to the previous one.
In the given question,
We have to find how many 7 digit phone numbers are there in which the digits are non-increasing and that is, every digit is less than or equal to the previous one.
We have to write 7 digit phone number.
Let the 7 digit are
A, B, C, D, E, F, G
Every digit is less than or equal to the previous one.
A ≥ B ≥ C ≥ D ≥ E ≥ F ≥ G
The sum of these number is 7.
So |A| + |B| + |C| + |D| + |E| + |F| + |G| = 10
We always have precisely one non-increasing digit for any given set of seven digits. Therefore, the solution to our problem is to make it simpler to calculate the total number of combinations where 7 digits must be chosen from a set of 7 digits where each digit is repeatable.
So the solution should be
= \(^{7+7-1}C_{7}\)
= \(^{13}C_{7}\)
We know that \(^nC_{r}=\frac{n!}{r!(n-r)!}\)
= \(\frac{13!}{7!(13-7)!}\)
= \(\frac{13!}{7!6!}\)
Simplifying
= \(\frac{13\times12\times11\times10\times9\times8\times7!}{7!\times6\times5\times4\times3\times2\times1}\)
Simplifying
= 13×11×2×3×2
= 1716
Hence, 1716 are 7 digit phone numbers in which the digits are non-increasing and every digit is less than or equal to the previous one.
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An IRS auditor randomly selects 3 tax returns (without replacement) from 46 returns of which 5 contain errors. What is the probability that she selects none of those containing errors?
Approximately 0.3477, or 34.77 percent, of tax returns with errors are chosen by the auditor.
We need to determine the total number of possible outcomes (selecting any three returns) and the number of favorable outcomes (selecting three returns without errors) in order to calculate the probability that the auditor will select none of the tax returns that contain errors.
Out of a total of 46 tax returns, five contain errors. Therefore, of the total returns, 41 do not contain errors.
From the 41 available tax returns, the number of favorable outcomes is the number of ways to select three tax returns without errors. This can be determined utilizing blends:
C(41, 3) = 41! / ( 3!(41-3)!) = (41 * 40 * 39) / (3 * 2 * 1) = 41 * 20 * 13 = 10,660.
The all out number of potential results is the quantity of ways of choosing any 3 expense forms from the 46 accessible:
C(46, 3) = 46! / ( 3!(46-3)!) = (46 * 45 * 44) / (3 * 2 * 1) = 46 * 15 * 44 = 30,680.
Accordingly, the likelihood of choosing none of the expense forms containing mistakes is:
P(selecting none of the blunders) = good results/absolute results
= 10,660/30,680
≈ 0.3477 (adjusted to four decimal spots).
Therefore, approximately 0.3477, or 34.77 percent, of tax returns with errors are chosen by the auditor.
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PLEASE HELP!!!!!!!!!!!!! 50 POINTS!!!!!!
Here are four expressions that have the value -12:
-14+(-14)
12−1
-214
-12
Write five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value -34.
Answer:
only one has the value of -12
Step-by-step explanation:
like what
Question: Here are four expressions that have the value -12:
-14+(-14)
12−1
-214
-12
Write five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value -34.
Answer: That means reducing the expression to a numeric value, or its simplified form. ... Difference between algebraic expression and algebraic equation An algebraic expression is a ... SUBSTITUTION Any algebraic expression may have one or more variable. ... Take this one as an example Five times the sum of four and two.
Quiz #106 (8.2 & 8.3)
1. The length of the flag
pole's shadow is 36
inches. The woman is 60
inches tall and her
shadow is 12 inches.
BEM189
36
Not drawn to scale
c) Draw two triangles and explain how they
48-72
are similar.
Thy bith XS to
Hor Misant
由田田
60
48
On solving the provided question, we can say that By the help of trigonometry the angle elevation is 45.
what is trigonometry?
The area of mathematics known as trigonometry looks at how triangle side lengths and angles relate to one another. In the Hellenistic era, roughly in the third century BC, the region had its initial appearance due to the use of geometry in astronomical study.
Exact mathematics focuses on specific trigonometric functions and how calculations could employ them. There are six well-known trigonometric functions in trigonometry.
They go by a variety of names and abbreviations, including sine, cosine, tangent, cotangent, secant, and cosecant (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. In geometry, the characteristics of every geometric figure are explored.
Let the pole's height be denoted by AB = h.
A pole's shadow will create the base BC.
Let the elevation angle be 9,
By the help of trigonometry
tan x = AB/BC
tan x = h/h = 1
x = tan^(-1)
x = 45
Hence, the angle elevation is 45
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Someone help me out plzz
Answer:
with what? You forget to attach the problem lol
Step-by-step explanation:
Answer: What is the question you need help with??
Step-by-step explanation:
ssume that the failure strength of a beam can be represented by a normal distribution where the population standard deviation is 4 psi. if you need the width of the 95% confidence interval to be 3 psi, how large of a sample do you need?
The failure strength of a beam can be represented by a normal distribution where the population standard deviation is 4 psi, we get a test measure of 7. Subsequently, we would require a test of at slightest 7 pillars to attain a 95% certainty interim with a width of 3 psi...
To discover the test measure required to realize a 95% certainty interim with a width of 3 psi, we ought to utilize the equation:
n = [ (z*σ) / E ]\(^{2}\)
where:
n is the test measure
z is the z-score related to the specified level of certainty (in this case, 95% compares to a z-score of 1.96)
σ is the populace standard deviation
E is the specified edge of blunder (in this case, 3 psi)
n = [ (1.96 * 4) / 3 ]\(^{2}\)
n = [ 2.61 ]\(^{2}\)
n = 6.82
we get a test measure of 7. Subsequently, we would require a test of at slightest 7 pillars to attain a 95% certainty interim with a width of 3 psi.
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Find the first five terms of the sequence: an = 2an – 1 – an – 2; a1 = 4; a2 = 3.
A) {4, 3, 2, 2, 2}
B) {4, 3, 2, 1, 0}
C) {4, 3, 5, 1, 9}
D) {4, 3, 4, 5, 6}
The first five terms of the sequence: an = 2an – 1 – an – 2; a1 = 4; a2 = 3. the correct option is B. {4, 3, 2, 1, 0}.
Given a recursive sequence an = 2an – 1 – an – 2 with a1 = 4, a2 = 3. We need to find the first five terms of the sequence.
To find the first five terms of the sequence, we can use the formula: an = 2an – 1 – an – 2. Using the formula, we havea3 = 2a2 – a1 = 2(3) – 4 = 2a4 = 2a3 – a2 = 2(2) – 3 = 1a5 = 2a4 – a3 = 2(1) – 2 = 0
Therefore, the first five terms of the sequence are {4, 3, 2, 1, 0}.
Hence, the correct option is B. {4, 3, 2, 1, 0}.Option A is incorrect since the fourth and fifth terms are not equal to 2.Option C is incorrect since it has random numbers. Option D is incorrect since it has an increasing sequence.
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If f(x) is an exponential function where f(−1)=4 and f(0)=18, then find the value of f(−0.5), to the nearest hundredth.
Answer:
The value of f(-0.5) is approximately 0.63
Step-by-step explanation:
An exponential function is of the form f(x) = a^x, where a is a constant. Since we know the values of f(−1) and f(0), we can use them to find the value of a.
From f(−1) = 4, we have:
4 = a^(-1)
From f(0) = 18, we have:
18 = a^0
Dividing the two equations, we have:
a = sqrt(18)
Now that we know the value of a, we can substitute it into the exponential function to find f(−0.5):
f(-0.5) = a^(-0.5) = sqrt(18)^(-0.5) = (4.242640687119285)^(-0.5) = 0.6324555320336758
to the nearest hundredth, it would be 0.63
What is the answer? (-3,7x) x (5.1y)
(−3.7x)(5.1y)
= −18.87xy
16-2t=3/2t+9 solve for t
answer: t=2
steps:
16-2t = 3/2t+9
7 = 3/2t + 2t
2 is 4/2
7 = 3/2t + 4/2t
7 = 7/2t
7/2t = 7
(2/7)7/2t=7(2/7)
t=7(2/7)
t=2