Answer:
true
Step-by-step explanation:
the lines of the new shape are parallel to the lines of the original shape, there seems to be the same scaling factor for all sides and all "projection" lines BB' and CC' cross at A, which is also A' Ave the center of the dilation.
If a pet grooming salon hires an additional groomer, that worker can groom 4 additional pets per day. the average grooming fee is $25. the most the salon would be willing to pay that groomer is
The most the salon would be willing to pay that groomer is $25×4 = $100.
What is unitary method?The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.
Some key features regarding the unitary method are-
It's a method which we use for the majority of math calculations. This method will come in handy when answering questions about ratio & proportion, algebra, geometry, and other subjects.We can determine the missing value using the unitary method. For example, if one carton of juice pays $5, how much would five such packets cost? We can then easily determine the price of 5 packets, which is $25.To know more about the unitary method, here
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consider the -matrix and . we want to find the least-squares solution of the linear system using the projection onto the column space of .the projection of onto is
To find the least-squares solution of the linear system using the projection onto the column space of a matrix A, we can use the formula x = (A^T A)^-1 A^T b, where b is the vector on the right-hand side of the system. In this case, A is the given matrix and b is not specified.
The least-squares solution of a linear system Ax=b is the vector x that minimizes the Euclidean distance between Ax and b. Geometrically, this corresponds to finding the projection of b onto the column space of A. The formula x = (A^T A)^-1 A^T b gives us the coordinates of the projection in terms of the columns of A. In other words, we are finding the coefficients that give us the linear combination of the columns of A that best approximates b.
In this specific case, we are given the projection of some vector onto the column space of a matrix A. We cannot find the least-squares solution without knowing b. However, if we had both the projection and b, we could use the formula x = (A^T A)^-1 A^T b to find the least-squares solution.
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a. (5) The demand function for a good X is Qx= m-3Px+2Py, where m is income, Px is the price of X, Py is the price of a related good Y and Qx is the demand for X. Income and prices are all positive. X
The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.
The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.
To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.
Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.
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Points F(0,0), G(9,0), and H(9,12) are the vertices of a triangle. What is the distance from point F to point H? A. 9 B. 12 C. 15 D. 21
Answer:
It is D. 21
Step-by-step explanation:
Write as an algebraic expression: the difference of 27 and 5
The algebraic expression of the statement given as the difference of 27 and 5 is 27 - 5
How to write the statement as an algebraic expression?The statement is given as:
the difference of 27 and 5
Difference means minus.
The minus sign is represented as -
This means that the statement given as: the difference of 27 and 5
Can be represented as
27 minus 5
So, have
27 - 5
Hence, the algebraic expression of the statement given as the difference of 27 and 5 is 27 - 5
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Someone please help me answer this
Answer
Sorry about that comment
Step-by-step explanation:
My brother was being annoying and messed with my computer
I'm new here
mZJNM = 103°. Find mZJNK
2
*
24
32
K
M
L
Answer:
m<ZJNK=47°
Step-by-step explanation:
m<ZJNK=103°-24°-32°=47°
Express the following fraction in simplest form using only positive exponents.
\( \frac{15q {y}^{8} }{ {3( {y}^{ - 1} )}^{2} } \)
Step-by-step explanation:
a number to a negative power is the same as 1/(base).
three people have been exposed to a certain illness. once exposed, a person has a 50-50 chance of actually becoming ill. (a) what is the probability that exactly one of the people becomes ill? (b) what is the probability that at least two of the people become ill? (c) what is the probability that none of the three people becomes ill?
a) the probability that exactly one of the people becomes ill = \(\frac{3}{8}\)
b) the probability that at least two of the people become ill = \(\frac{1}{2}\)
c) The probability that none of the three people becomes ill = \(\frac{1}{8}\)
Given that
three people have been exposed to a certain illness. once exposed, a person has a 50-50 chance of actually becoming ill.
the outcome = \(2^{3}\) = 8
a) the probability that exactly one of the people becomes ill:
there are 3 persons to find probability exactly one need to be ill let's consider 1st person maybe ill and there is a chance that 2nd person is ill if not 2nd person 3rd person is ill
P(a) = \(\frac{1 + 1 + 1}{8}\)
= \(\frac{3}{8}\)
b) the probability that at least two of the people become ill
The probability that exactly two people become ill is P2 = \(\frac{3}{8}\)
the probability that exactly three
people become ill is P3 = \(\frac{1}{8}\)
Therefore, the probability that at least two people become ill is
P2 + P3 = \(\frac{3}{8}\)+ \(\frac{1}{8}\)
=\(\frac{1}{2}\)
c) The probability that none of the three people becomes ill is \(\frac{1}{8}\)
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what is the best estimate for this sum?14 27responsesthe sum will be close to 14.the sum will be close to , 1 fourth, .the sum will be close to 12.the sum will be close to , 1 half, .the sum will be close to 1.
The best estimate for this sum 14 + 27 is the sum will be close to 14.
Estimation is basically rounding off of numbers to the nearest one. ten or hundred place.
The best estimate for this sum
= The sum of 14 + 27 = 41
The difference between 14 and 41 is 27.
The difference between 12 and 41 is 29.
The difference between 1/4 and 41 is greater than 27.
The difference between 1/2 and 41 is also greater than 27.
So best estimate for this sum 14 + 27 will be the sum will be close to 14.
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Fill in the blanks.The number of cycles per second of a point in simple harmonic motion is its _______.
In simple harmonic motion, the number of cycles per second of a point is its frequency. Here's a step-by-step explanation:
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5. Explain why each relation is not a function.
Answer:
If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Step-by-step explanation:
solve the formula W=XYZ for Y
If 3/5vof a cup of water fills 3/4 of a plastic container, how much water, in cups, is needed to fill one whole container?
Answer:
3/5 3/4
3/5*4/3=12/15=4/5
4/5 cups of water
because 4/3 is the reciprocal of 3/4 and so 3/4*4/3=1
Grace works as a salesperson at an electronics store and sells phones and phone accessories, and makes a fixed commission for each phone sale and a different fixed commission for each accessory sale. Yesterday Grace sold 18 phones and 21 accessories and made a total commission of $204. Today she sold 6 phones and 14 accessories and made a total commission of $82. Determine the price of each phone and the price of each accessory.
Answer:
phones = $9
accessories = $2
explanation:
x=phones
y=accessories
18x+21y=204
6x+14y=82
Given the triangle below, what is mA, rounded to the nearest tenth?
Answer:
A. 24.2°
Step-by-step explanation:
I'm correct if I'm rwong
Someone help me with this I will make you brain
Answer:
3rd one
Hard to explain
help me please!!!!!!!
Answer:
Easy. 1,2 and 3
Step-by-step explanation:
You Know That 2×3=6 And 3×2=6 and 1×6 is 6
so what are the factors of 6 are a multiple of the number
[100 PTS] (I NEED A ANSWER QUICK!)
Given the equation 3x + 15 = 84:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Part C: Explain what the value of the variable represents. (2 points)
Answer:
Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.
Step-by-step explanation:
Answer:
Part A: Word problem
Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.
Part B: Solution
To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.
Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:
3x + 15 - 15 = 84 - 15
3x = 69
Step 2: Divide both sides of the equation by 3 to isolate x:
3x/3 = 69/3
x = 23
So, the solution to the equation is x = 23.
Part C: Explanation
In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.
Step-by-step explanation:
Which is a base unit used in the metric system?
Step-by-step explanation:
grams meterand liter. .................................
tep 1: read: review case problem 1: air force training program download case problem 1: air force training programfrom chapter 11 of the ebook. step 2: do: run the f-test two-sample for variances for the data file training (chapter 11) using the video how to add excel's data analysis toolpak (links to an external site.) for assistance. in a managerial report, use appropriate descriptive statistics to summarize the training time data for each method. what similarities or differences do you observe from the sample data? conduct a hypothesis test on the difference between the population means for the two methods. discuss your findings. compute the standard deviation and variance for each training method. conduct a hypothesis test about the equality of population variances for the two training methods. discuss your findings. explain what conclusion you can reach about any differences between the two methods. what is your recommendation? explain. suggest other data or testing that might be desirable before making a final decision on the training program to be used in the future. step 3: discuss: what did you find in your analysis of the data? were there any surprising results? what recommendations would you make based on your findings? include details from your managerial report to support your recommendations.
Based on the analysis, discuss any differences observed between the two training methods. Discuss the analysis and findings. Reflect on the results of the analysis.
However, I can guide you on how to approach the analysis and provide you with a general outline of the steps you can follow:
Read the case problem
Review the case problem from Chapter 11 of the ebook related to the Air Force training program.
Perform the analysis
a) Run the F-test two-sample for variances:
Using Excel's Data Analysis ToolPak, follow the instructions from the provided video to perform an F-test two-sample for variances on the training data file.
b) Summarize the training time data:
Calculate appropriate descriptive statistics (e.g., mean, standard deviation) for each training method. Compare the summary statistics to identify similarities or differences between the two methods.
c) Conduct a hypothesis test on the difference between population means:
Perform a hypothesis test (e.g., independent t-test) to assess whether there is a statistically significant difference between the population means of the two training methods. Interpret and discuss the findings.
d) Calculate standard deviation and variance:
Compute the standard deviation and variance for each training method. Compare the values to gain insights into the variability within each method.
e) Conduct a hypothesis test on the equality of population variances:
Perform a hypothesis test (e.g., F-test) to determine if there is a significant difference in population variances between the two training methods. Analyze the results and discuss the findings.
f) Draw conclusions and provide recommendations:
Based on the analysis, discuss any differences observed between the two training methods. Provide a conclusion and recommendation on which training method appears to be more effective. Justify your recommendation with supporting evidence from the analysis.
Discuss the analysis and findings
Reflect on the results of the analysis. Identify any surprising or noteworthy findings. Formulate recommendations based on the findings and include specific details from the managerial report to support your recommendations.
Please note that without access to the actual data or case problem, the guidance provided is general in nature. It's important to adapt the steps to the specific case problem and data provided in the ebook.
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find the volume of the parallelepiped whose adjacent sides are the vectors =6 −9, =5−2 9, and =7 6−2.
The volume of a parallelepiped is equal to the product of the magnitudes of its three adjacent edges. In this case, the three adjacent edges are given by the vectors <6,-9>, <5,-2,9> and <7,6,-2>.
Therefore, the volume of the parallelepiped is equal to |<6,-9>| x |<5,-2,9>| x |<7,6,-2>|
We can find the magnitudes of each vector using the formula for the magnitude of a vector, which is the square root of the sum of the squares of its components.
|<6,-9>| = sqrt(6^2 + (-9)^2) = sqrt(36 + 81) = sqrt(117)
|<5,-2,9>| = sqrt(5^2 + (-2)^2 + 9^2) = sqrt(25 + 4 + 81) = sqrt(110)
|<7,6,-2>| = sqrt(7^2 + 6^2 + (-2)^2) = sqrt(49 + 36 + 4) = sqrt(89)
Therefore, the volume of the parallelepiped is sqrt(117) x sqrt(110) x sqrt(89) = 834.45.
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The volume of the parallelepiped whose adjacent sides are the vectors =6 −9, =5−2 9, and =7 6−2 is 387.
To find the volume of a parallelepiped given three adjacent vectors, we can take the scalar triple product of the three vectors.
The scalar triple product of three vectors a, b, and c is given by: a · (b x c)
where · represents the dot product and x represents the cross product.
In other words, the scalar triple product is the dot product of the first vector with the cross product of the second and third vectors.
So in this case, we can find the volume of the parallelepiped whose adjacent sides are the vectors a=6−9, b=5−2 9, and c=7 6−2 by computing:
V = a · (b x c)
To compute the cross product b x c, we can use the following determinant:
i j k
5 -2 9
7 6 -2
Expanding this determinant, we get:
(−2×9−6×7)i−(5×−2−7×9)j+(5×6−−2×5)k
= −60i − 83j + 40k
So b x c = -60i - 83j + 40k, and:
a · (b x c) = (6)(-60) + (-9)(-83) + (0)(40) = 387
Therefore, the volume of the parallelepiped is 387 cubic units.
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Can someone answer just this one? Thank you :)
Answer:
7
Step-by-step explanation:
(a+b)/2 x h
42 = (8+4)/2 x h
42 = 6h
h = 7
Answer:
height = 6.92820323028km (you can round if you want to)
Step-by-step explanation:
8km - 4km = 4km (this is for one of the side lengths of the traingle)
a² + b² = c²
4² + b² = 8² (b will be used to represent the height)
16 + b² = 64
b² = 48
b = 6.92820323028km
if $\frac ab$ rounded to the nearest trillionth is $0.008012018027$, where $a$ and $b$ are positive integers, what is the smallest possible value of $a b$?
If a/b rounded to the nearest trillionth is 0.008012018027, where a and b are positive integers, the smallest value of the a+b is 2013.
A mathematician would tell you that there cannot be such a number since it would violate the principles of mathematics. There cannot be a number n/2 since n is already the smallest if you have a number n, where n is the smallest integer after 0. Mathematicians dislike this since it implies that division itself fails.
A computer will truly respond to your question. Computers don't have an endless number of numbers, unlike the physical world, because they couldn't all fit. Each memory register in a computer has a set number of bits that are used to store numbers. Imagine having just three digits. 999 is the largest number you may possibly portray.
The continued fraction representations of the limits of the interval are
0.0080120180265 = [0; 124, 1, 4, 2, 1, 463872, 1, 1, 12, 1, 1, 41]
0.0080120180275 = [0; 124, 1, 4, 3, 545777, 2, 13, 1, 1, 1, 1, 2]
The simplest continued fraction (and therefore also the simplest ordinary fraction!) in that interval
is
[0; 124, 1, 4, 3] 16 1997 = = 0.00801201802704056084...
and the sum of its numerator and denominator is 2013.
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Complete question:
If a/b rounded to the nearest trillionth is 0.008012018027, where a and b are positive integers, what is the smallest possible value of a+b ?
Find the area of ABC with verticles A(4,-3), B(9,-3) and C(10,-11)
Answer:
Step-by-step explanation:
The area of the triangle when the vertices of the triangle are given can be calculated by the following formula:
Area of triangle = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)| where the vertices are A(Ax, Ay), B(Bx, By), C(Cx, Cy)
Now, we have been given the values of vertices as A(4, -3) B(9,-3) , and C(10, −11)
Therefore,
By applying the formula and substituting the given values, we get
Area = 0.5 * |4 * (-3 + 11) + 9 * (-3 + 11) + 10 * (-3 - 3)|
Area = 0.5 * |44|
Area = 22
Hence, the area of triangle ABC with the given vertices is 22 square units
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A widget making machine is supposed to make widgets that are 0.05 inches thick. Ten widgets are tested each day to ensure the machine is properly calibrated. Today's test averaged 0.053 inches thick with a standard deviation of 0.003. At the 5% level of significance, is the machine properly calibrated?
At the 5% level of significance, the machine is not properly calibrated.
To determine if the machine is properly calibrated, we need to conduct a hypothesis test using the given data. Let's define our null and alternative hypotheses as follows:
Null hypothesis (H0): The machine is properly calibrated and the true mean thickness of the widgets is 0.05 inches.
Alternative hypothesis (Ha): The machine is not properly calibrated and the true mean thickness of the widgets is not equal to 0.05 inches.
We will use a two-tailed t-test to test the hypothesis since we have a sample size of 10, and the population standard deviation is unknown. The test statistic for this hypothesis test is calculated as:
t = (x - μ) / (s / sqrt(n))
where x is the sample mean thickness, μ is the hypothesized population mean thickness (0.05 inches), s is the sample standard deviation, and n is the sample size (10).
Plugging in the given values, we get:
t = (0.053 - 0.05) / (0.003 / sqrt(10)) = 3.055
The degrees of freedom for this test is 9 (n - 1). Using a t-table or calculator, we can find the critical t-value for a two-tailed test with 9 degrees of freedom and a significance level of 0.05 to be approximately 2.262.
Since our calculated t-value (3.055) is greater than the critical t-value (2.262), we can reject the null hypothesis at the 5% level of significance. This means that there is sufficient evidence to suggest that the machine is not properly calibrated and that the true mean thickness of the widgets is likely not equal to 0.05 inches.
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if 1,000 points are selected randomly inside the square with all points equally likely to be selected, how many of those points are expected to lie inside the circle?
The number of points that are expected to lie inside the circle is 785.
A circle is a closed two-dimensional figure. In a circle, all points are equidistant from the centre.
As per the given question, the circle is inscribed in a square,
The radius of the circle ( r ) = 1 The side length of the square ( s ) = 2⇒ The area of the circle = π × r × r
= π × 1 × 1
∴ The area of the circle = π
⇒ The area of the square = s × s
= 2 × 2
∴The area of the square = 4
The probability that a randomly selected point inside the square will lie inside the circle,
p = π / 4
The probability that a randomly selected point inside the square will lie outside the circle,
q = 1 - p
q = 1 - ( π / 4 )
⇒ Binomial trial with n = 1000 and p = π / 4,
Number of points expected to lie inside the circle(N) = n × p
= 1000 × ( π / 4 )
= 1000 × ( 3.14 / 4 )
= 1000 × ( 0.785 )
N = 785
Therefore, 785 expected points lie inside the circle.
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The complete question is
Answer: 56 square
Step-by-step explanation:
-3(6v-3w-5)
i have to use the distributive property to remove the parentheses
Answer:
-18v + 9w +15
Step-by-step explanation:
-3(6v-3w-5)
You can use a table or multiply each term
-3(6v) + -3(-3w) + -3(-5)
= -18v + (9w) + (15)
= -18v + 9w + 15
A number "s" is subtracted from seven. When the result is divided by three, the quotient is two. What is the number?
Answer:
13.
Step-by-step explanation:
Here's the equation you can write:
s-7/3=2
s-7=6
s=13
PLS HELP MEEEEEEEE I WILL GIVE BRAINLIEST :D
Answer:
A is true and f is true
Step-by-step explanation:
Answer:
a, d, e, and g
Step-by-step explanation:
if you multiply two negatives, you get a positive