Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches are greatest lenght of the pieces by greatest common factor.
What does "largest common factor" mean?
A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the largest, we refer to the GCF of 12, 20, and 24 as four.a. As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.
First we will factor out all three numbers completely
60 = 2 × 2 × 3 × 5
48 = 2 × 2 × 2 × 2 ×3
72 = 2 × 2 × 2 × 3 × 3
The common factors are: 2, 2 and 3
Thus the GCF = 2 × 2 × 3 = 12
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
b. For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So
Number of pieces for blue cloth = 60/12 = 5
Number of pieces for gold cloth = 48/12 = 3
Number of pieces for white cloth = 72/12= 6
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Is 4x+1=f(x) a quadratic function?
Answer: no
Step-by-step explanation:
the x has to be squared to form a parabola with a vertex and 2 x intercepts
8.
How is the graph of y = 4(2)* - - 3 translated from the graph of y = 4(2)*?
3 units right
3 units down
3 units left
3 units up
Answer: 3 units up
Step-by-step explanation:
Over the past 20 years the prices of homes have increased by 30%, resulting in the average price of a house being $500,000. What was the average price of a house 20 years ago?
Answer:
In the best 30 years for the housing market (1976-2005), real price appreciation averaged 2.2% per year. In the worst 30 years for housing (1895-1924), real price appreciation averaged -2.0% per year.
Answer:
Step-by-step explanation:
during his nba career, larry bird made approximately 89% of all free throws. suppose larry makes 10 free throws in a row. what is the probability he will make the next free throw?
Probability that he will make the next free throw is 0.89% if larry bird made approximately 89% of all free throws during his nba career.
During nba career he made approximate 89% of all free throws.
To calculate the probability of the next 10 free throws given which will be
= No. of possible outcome / Total no. of outcome
= 89 / 100
= 0.89 %
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcome like how likely they are.
P(A) = (# of ways A can happen) / (Total number of outcomes)
which means that Probability that he will make the next free throw is 0.89 %
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Find the length of PM. Leave the answer in simplest radical form.
The length of PM is
The length of PM is √74.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
ΔPMK is a right triangle.
So,
PM² = PK² + MK²
PM² = 5² + 7²
PM² = 25 + 49
PM² = 74
PM = √74
Thus,
PM is √74.
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What is the relationship between a and b?
A - Vertical angles
B - Complementary angels
C - Supplementary angels
D - None of the above
Answer:
A
Step-by-step explanation:
a and b are said to be vertical angles.
James takes out a loan of 9000 euros which keeps on charging simple interest at a rate of 3% of the original amount per annum until it is cleared. James pays of 770 euros each year to reduce the loan. After how many years will James have fully cleared the loan?
James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.
To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.
The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.
In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.
In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.
This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.
Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.
Combining like terms, we have 9000 + 270 = 1.04x.
Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.
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Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
4y^4
Step-by-step explanation:
This polynomial is supposed to be ordered:
-3x^4+4y^4+5x^2y^2-10xy^3+9x^3y
I dont totally understand the question but I hope the ordered polynomial helps
What is the slope of the line through (0,5) and (-2, -1)? Please help.
Assuming that someone is asked to write a code (i.e., program) for nonlinear problem using least square adjustment technique, what would be your advice for this person to terminate the program?
This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.
When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.
One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.
Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.
Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.
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What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
C
Step-by-step explanation:
Since the graph hits 0 at x = 0, your y intercept is 0.
The graph is decreasing which means you have a negative slope.
They gave you a coordinate so use it to find the slope.
\(\frac{1-0}{-3-0} = \frac{-1}{3}\)
That's your slope.
C is the correct answer.
y=-1/3x
mark brianliest if my answer suits ur question.
pls help will give brainliest??
which statement best describes the association between variable X and Y?
you do not give the answer choice in this picture, but I assume it is along the lines of this
The scatter plot shows a negative association between variable X and Y
Choose the graph where the constant of variation is 2.
Answer:
c
Step-by-step explanation:
Answer:
Its C
Step-by-step explanation:
I did it on edge
please graph y≤ 2x-3
journee ate 9 grapes . grandma gave her more grapes . journee ate 15 grapes in all . how many grapes did grandma give her ?
Answer:
6 grapes.
Step-by-step explanation:
If she already had 9 grapes, subtract 15 and 9 to get 6.
Answer:
6 grapes
Step-by-step explanation:
take 15 subtract 9 to get 6
Roy received math test scores of 05, 90, 90, and 85.
7. What is Roy's median test score?
8. What score would Roy need to get on
his next test to have a mean of 92
Median = 87.5 Sorry about the other one
Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
Which quadrilateral makes this statement true? Quadrilateral ABCD = 9.4 94°C 17 Quadrilateral ABCD
The given measurements are the height (9.4), an angle (94°C), and a base (17). In a trapezoid, two sides are parallel, and the height connects these sides perpendicularly. The angle indicates that the trapezoid is not a rectangle, and the height and base are consistent with trapezoid properties.
The given statement, "Quadrilateral ABCD = 9.4 94°C 17" is unclear and does not provide enough information to determine which quadrilateral makes the statement true.
A quadrilateral is a four-sided polygon, and there are many different types of quadrilaterals such as squares, rectangles, trapezoids, and parallelograms. Each type of quadrilateral has its own unique properties and formulas for calculating area and perimeter.
To determine which quadrilateral makes the given statement true, we would need more information such as the side lengths or angles of the quadrilateral. Without this information, it is impossible to provide a definitive answer.
In summary, the statement provided is insufficient to determine which quadrilateral makes it true. More information is needed to provide a specific answer.
Based on the information provided, the quadrilateral that makes the statement true is a trapezoid. The given measurements are the height (9.4), an angle (94°C), and a base (17). In a trapezoid, two sides are parallel, and the height connects these sides perpendicularly. The angle indicates that the trapezoid is not a rectangle, and the height and base are consistent with trapezoid properties.
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A uniformly distributed random variable has minimum and maximum values of 20 and 60, respectively.
a. Draw the density function.
b. Determine P(35 < X < 45).
c. Draw the density function including the calculation of the probability in part (b).
brianna is driving on a long road trip. she created the graph below to represent the gallons of gas left in her tank. what does the x-intercept in the graph represent?
The x-axis represents the distance traveled (in miles).
Considering that the x-axis shows the distance travelled (in miles) and the y-axis represents the amount of gas left in the tank (in gallons), the x-intercept would represent the point at which Brianna's gas tank is empty, and she would need to refill her tank to continue traveling. In other words, the x-intercept is the distance Brianna can travel before running out of gas, assuming her car's fuel efficiency remains constant and she does not refill her tank.
Two key lines known as the x and y axes are the building blocks of a graph.
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5(2x+7) - 3x = 7(x + 5) how many solutions does it have??
Answer:
Infinite real solutions
Step-by-step explanation:
5(2x+7) - 3x = 7(x+5)
lets expand
10x+35 - 3x = 7x + 35
combine like terms
7x = 7x -- i subtracted 35 on each side and combined 10x - 3x
we see that
7x = 7x
Therefore, there is infinite real solutions.
A baseball enthusiast carried out a simple linear regression to investigate whether there is a linear relationship between the number of runs scored by a player and the number of times the player was intentionally walked. Computer output from the regression analysis is shown.
Let β represent the slope of the population regression line used to predict the number of runs scored from the number of intentional walks in the population of baseball players. A t-test for a slope of a regression line was conducted for the following hypotheses.
H0:β=0
Ha:β≠0
What is the appropriate test statistic for the test?
t = 16/2.073
t = 16/0.037
t = 0.50/0.037
t = 0.50/2.073
t = 0.50/0.63
The appropriate test statistic for the test is t = 16/0.037.
The appropriate test statistic for the test is obtained by dividing the estimated slope of the regression line (in this case, 16) by the standard error of the slope (0.037). The test statistic measures how many standard deviations the estimated slope is away from the hypothesized value of 0. By calculating the ratio of 16 divided by 0.037, we obtain the t-value, which is used to assess the significance of the estimated slope in relation to the null hypothesis.
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Two events are ________ if the occurrence of one is related to the probability of the occurrence of the other.
Answer:
Dependent
Step-by-step explanation:
Two events are said to be dependent when the outcome of the first event is related to the other.
When two events, A and B are dependent, the probability of occurrence of A and B is:
P(A and B) = P(A) · P(B|A)
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Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.
A probability-dependent event is an event whose occurrence affects the probabilities of others. Suppose you have 3 red balls and 6 green balls in your pocket. Two balls are drawn one after the other from the bag. A dependent event is an event that depends on what happened before. These events are affected by previously occurring results.In other words, two or more intedependent events are called dependent events. A random change in one event can deviate from another.If two events A and B depend on each other, then the probability of A and B occurring is
P(A and B) = P(A) P(B|A)
Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.
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A genetic experiment involving peas yielded one sample of offspring consisting of 437437 green peas and 129129 yellow peas. Use a 0.050.05 significance level to test the claim that under the same circumstances, 2727% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
Answer:
The null hypothesis: \(\mathbf{H_o: p=0.27}\)
The alternative hypothesis: \(\mathbf{H_1: p \neq 0.27}\)
Test statistics : z = −2.30
P-value: = 0.02144
Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.
Conclusion: We accept the alternative hypothesis and conclude that under the same circumstances the proportion of offspring peas will be yellow is not equal to 0.27
Step-by-step explanation:
From the given information:
Let's state the null and the alternative hypothesis;
Since The claim is that 27% of the offspring peas will be yellow.
The null hypothesis state that the proportion of offspring peas will be yellow is equal to 0.27.
i.e
\(\mathbf{H_o: p=0.27}\)
The alternative hypothesis state that the proportion of offspring peas will be yellow is not equal to 0.27
\(\mathbf{H_1: p \neq 0.27}\)
The test statistics:
we are given 437 green peas and 129 yellow apples;
Hence;
\(\hat p = \dfrac{x}{n}\)
where ;
\(\hat p\) = sample proportion
x = number of success
n = total number of the sample size
\(\hat p = \dfrac{129}{437+129}\)
\(\hat p = \dfrac{129}{566}\)
\(\mathbf{\hat p = 0.2279}\)
Now; the test statistics can be computed as :
\(z = \dfrac { \hat p -p }{\sqrt {\dfrac{p(1-p)}{n} } }\)
\(z = \dfrac {0.2279 -0.27 }{\sqrt {\dfrac{0.27(1-0.27)}{566} } }\)
\(z = \dfrac {-0.043 }{\sqrt {\dfrac{0.27(0.73)}{566} } }\)
\(z = \dfrac {-0.043 }{\sqrt {\dfrac{0.1971}{566} } }\)
\(z = \dfrac {-0.043 }{\sqrt {3.48233216*10^{-4} } }\)
\(z = \dfrac {-0.043 }{0.01866} }\)
z = −2.30
C. P-value
P-value = P(Z < z)
P-value = P(Z< -2.30)
By using the P-value method and the normal distribution as an approximation to the binomial distribution.
from the table of standard normal distribution
move left until the first column is reached. Note the value as –2.0
move upward until the top row is reached. Note the value as 0.30
find the probability value as 0.010724 by the intersection of the row and column values gives the area to the left of
z = -2.30
P- value = 2P(z ≤ -2.30)
P-value = 2 × 0.01072
P - value = 0.02144
Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.
Conclusion: We accept the alternative hypothesis and conclude that under the same circumstances the proportion of offspring peas will be yellow is not equal to 0.27
It takes Kevin 5 minutes to jog once around a
circular track that has a diameter of 400 meters.
About how many meters per minute is Kevin
jogging?
A. About 250 meters per minutes.
B. About 350 meters per minute.
C. About 450 meters per minute.
D. About 500 meters per minute.
suppose the length of time (in minutes) going through customs at u.s. airports with global entry (goes) is normally distributed with a population mean of 40 minutes and a population standard deviation of 12 minutes. what is the approximate wait time for the fastest 4% of passengers?
The approximate wait time for the fastest 4% of passengers is approximately 29.29 minutes.
What is Standard Deviation?
It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.
To find the approximate wait time for the fastest 4% of passengers, we need to use the normal distribution and the inverse normal distribution function.
The normal distribution is a continuous probability distribution that is symmetrical around the mean, and is defined by the mean and standard deviation. In this case, the mean wait time for passengers with global entry is 40 minutes and the standard deviation is 12 minutes.
The inverse normal distribution function is a mathematical function that takes a probability as input and returns the corresponding value from the normal distribution. In other words, it allows us to find the value that corresponds to a given percentile of the normal distribution.
To find the wait time for the fastest 4% of passengers, we need to find the value that corresponds to the 4th percentile of the normal distribution. To do this, we can use an inverse normal distribution calculator or a normal distribution table.
Plugging in the mean and standard deviation of the wait time and the percentile of 4, we get a value of approximately 29.29 minutes. This is the wait time for the fastest 4% of passengers.
So, The approximate wait time for the fastest 4% of passengers is approximately 29.29 minutes.
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Which toolkit function is this ? I am always continuous and have a point of inflection at the origin. My range is from negative one to one.optionssquare root function , quadratic function, rational function , exponential function constant linear function , linears function cubic function , logarithmic function ,asbolsoute value and sine function
Step 1
Given; Which toolkit function is this? I am always continuous and have a point of inflection at the origin. My range is from a negative one to one.
Step 2
The function that is always continuous and has a point of inflection at the origin with its range going from -1 to 1 is
\(\begin{gathered} sine\text{ function} \\ Let\text{ us consider the graph of y=sinx} \end{gathered}\)\(\begin{gathered} An\:inflection\:point\:is\:a\:point\:on\:the\:graph\:at\:which\:the\:second\:\: \\ derivative\:is\:equal\:to\:zero\:or\:undefined\text{ }and\:changes\:sign \\ \mathrm{If}\:f\:''\left(x\right)>0\:\mathrm{then}\:f\left(x\right)\:\mathrm{concave\:upwards.} \\ \mathrm{If}\:f\:''\left(x\right)<0\:\mathrm{then}\:f\left(x\right)\:\mathrm{concave\:downwards.} \end{gathered}\)\(\begin{gathered} \frac{d}{dx}\left(sinx\right)=cosx \\ \frac{d}{dx}\left(cosx\right)=-sin(x) \\ -sin(x)=0 \\ x=0,y=0 \\ And\text{ the origin is \lparen0,0\rparen} \end{gathered}\)From the graph, the range is from -1 to 1.
Answer;
\(\)what is the equation in standard form of the line that passes through the point (1,24) and has a slope of (-3/5)
y = -3/5x - 123/5 is slope-intercept form .
What is an explanation of the slope-intercept form?
A line's equation can be written in the slope-intercept form so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately visible. This form is frequently known as the y = mx + b form.Point = ( 1,24 )
slope = -3/5
the equation in standard form of the line that passes through the point
y - y₁ = m ( x - x₁)
y - 24 = -3/5 ( x - 1)
5 (y - 24) = -3( x - 1 )
5y - 120 = -3x + 3
5y = -3x + 3 + 120
5y = -3x + 123
y = -3/5x - 123/5
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Find the value of x
A. 12
B. 4
C. 9
D. 14
Answer:5. Selina Kyle borrowed $3,000 from a bank for 8 months at a simple interest rate of 5.0%a. How much interest was charged?Answer:b. How much did she have to pay back to the bank? Answer:
Solution:
The simple interest charged on an amount borrowed at a given rate for a given period of time is expressed as
\(\begin{gathered} I=P\times R\times T \\ where \\ P\Rightarrow amount\text{ borroewd} \\ R\Rightarrow interest\text{ rate, expressed in percentage } \\ T\Rightarrow time\text{ in years} \end{gathered}\)A) Interest charged:
Given that
\(\begin{gathered} P=3000 \\ R=5\%=\frac{5}{100} \\ T=8\text{ months=}\frac{8}{12}\text{ year} \end{gathered}\)Thus, the interest charged is evaluated as
\(\begin{gathered} I=3000\times\frac{5}{100}\times\frac{8}{12} \\ =\$100 \end{gathered}\)Hence, the interest charged is $100.
B) Amount to be paid back:
The amount to She will pay back is the sum of the amount borrowed and the interest charged.
Thus,
\(\begin{gathered} Amount\text{ =Principal + Interest charged} \\ =3000+100 \\ \Rightarrow Amount\text{ to be paid = \$3100} \end{gathered}\)Hence, the amount she will pay back is
\(\$3100\)