Answer:
SOLUTION: .−5x + 4y = 20. 10x − 8y = −40.
Step-by-step explanation:
First, solve the first equation for y. Then, substitute for y in the second equation. This equation is an identity
Two rectangular solar panels, A and B, are mathematically similar. Panel A has a diagonal of 90 centimetres and an area of 4020 square centimetres. A 90 cm B 125 cm A salesman claims that panel B, with a diagonal of 125 centimetres, will be double the area of panel A. Is this claim justified?
I just need the points gggggggg
Joel is training for a marathon. He records the number of miles that he ran each day for a week. In two weeks he plans on increasing the distance he runs on Monday and Tuesday by 1 mile, and the amount he runs on Friday, Saturday and Sunday by 2 miles. How will this affect the MEAN number of miles he runs in a week?
The mean will increase by 1.6 miles.
How to calculate the mean?It should be noted that from the information, in two weeks he plans on increasing the distance he runs on Monday and Tuesday by 1 mile, and the amount he runs on Friday, Saturday and Sunday by 2 miles.
The mean will be:
= (1 × 2) + (2 ×3) / 5
= (2 + 6)/5
= 8/5
= 1.6
The mean will increase by 1.6 miles.
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in a random sample of 66 residents of the state of maine, the mean waste recycled per person per day was 1.31.3 pounds with a standard deviation of 0.450.45 pounds. determine the 95�% confidence interval for the mean waste recycled per person per day for the population of maine. assume the population is approximately normal. step 2 of 2 : construct the 95�% confidence interval. round your answer to one decimal place.
The confidence interval lies between (0.827754, and 1.77225).
What is confidence interval ?
An area created using fixed-size samples of data from a population( sample space) that follows a particular probability distribution is known as a confidence interval. A named population statistic is erected into the interval with a specified probability. A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95 confidence position is the most popular, still other situations, similar to 90 or 99, are sometimes used when calculating confidence intervals. A confidence interval is a set of figures that we're nicely confident represent our true value. A named population statistic is erected into the interval with a specified probability.Here, sample mean x = 1.3
sample standard deviation s = 0.45
and sample size n = 6
The 95% confidence interval for the mean waste recycled
= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X [tex]t_{0.025'}[/tex] 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex] X [tex]t_{0.025'}[/tex]
= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X 2.57058 , 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex]X 2.57058
= (0.827754, 1.77225)
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How is the graph of the parent function y=1/x transformed to create the graph of y=-1/3x?
It is horizontally stretched by a factor of 3 and reflected over the y-axis.
A. It is translated 3 units down and reflected over the x-axis.
B. It is horizontally compressed by a factor of 3 and reflected over the x-axis.
C. It is translated 3 units down and reflected over the y-axis.
D. It is horizontally stretched by a factor of 3 and reflected over the y-axis
It is horizontally compressed by a factor of 3 and reflected over the x-axis.
How to determine the transformation?The parent function is given as:
y = 1/x
When the above function is compressed by a factor of 3, the function becomes
y = 1/3x
Next, when the above function is reflected over the x-axis or the y-axis, the function becomes
y = -1/3x
Hence, the transformation is (b) it is horizontally compressed by a factor of 3 and reflected over the x-axis.
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Answer:
The qzz answers to whole thing for "transformations of functions" on Edg. is the following:
1) B
2) A
3) A
4) B
5) B
6) C
7) C
8) A
9) D
10) B
Step-by-step explanation:
Trust me! I got 100% :)
3(k + 5) = -2(3k - 6)
Answer:
k = -1/3
Step-by-step explanation:
1. Simplify by distributing
3k + 15 = -6k + 12
Move -6 onto the left side by adding 6k onto both sides =
9k + 15 = 12
Now subtract 15 on both sides=
9k = -3
Now divide both sides by 9=
k = -1/3
Answer:
k=-1/3
Step-by-step explanation:
3k+15=-6k+12
15-12=-6k-3k
3=-9k
k=-1/3
For g (x)=x^2 + 6 find g(2)
Answer:
plug in the 2 for x so its 2^2+6 2^2 is 4 plus 6 is 10
Step-by-step explanation:
10. janet and david are playing with a pair of dice. if janet rolls two numbers whose sum is less than 6, david wins and gets to roll next. however, if janet rolls two numbers whose sum is 6 or greater, she gets to keep rolling. is this a fair method for their game? this is a fair method. this is not a fair method. not enough information.
Considering the probabilities of each outcome, it is much more likely that Janet wins than David, hence this is not a fair method.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The 36 total outcomes for the roll of two dice are given as follows:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6).(2,1), (2,2), (2,3), (2,4), (2,5), (2,6).(3,1), (3,2), (3,3), (3,4), (3,5), (3,6).(4,1), (4,2), (4,3), (4,4), (4,5), (4,6).(5,1), (5,2), (5,3), (5,4), (5,5), (5,6).(6,1), (6,2), (6,3), (6,4), (6,5), (6,6).The number of outcomes in which the sum is less than 6 is:
10.
Hence the probability that David wins is:
p = 10/36.
Janet winning is complementary to David, hence the probability she wins is:
p = 26/36.
From the probabilities, it is much more likely that Janet wins than David, hence this is not a fair method.
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Carlos sold 7 cherry pies and 4 blackberry pies for a total of $71. Elisa sold 3 cherry pies and 4 blackberry pies for a total of $51. What is the cost each of one cherry pie and one blackberry pie?
The cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.
Let the cost of cherry pies be x and the cost of blackberry pies be y.
In case of Carlos, we get the equation as:
7 x + 4 y = 71 …(1)
In case of Elisa, we get the equation as:
3 x + 4 y = 51
4 y = 51 - 3 x …(2)
Put equation (2) in equation (1)
7 x + 51 - 3 x = 71
4 x = 71 - 51
4 x = 20
x = 20 / 4
x = 5
4 y = 51 - 3 (5)
4 y = 51 - 15
4 y = 36
y = 36 / 4
y = 9
Therefore, we get that, the cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.
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Two circles C₁ and C₂ have their centres at the point (3,4) and touch a third circle, C3.
The centre of C3 is at the point (0,0) and its radius is 2.
What is the sum of the radii of the two circles C₁ and C₂?
The sum of the radii of the two circles C₁ and C₂ is 4 units
Given data
Two circles C₁ and C₂ have their centres at the point (3,4)
The centre of C3 is at the point (0,0) and its radius is 2
And C1 and C2 is touching C3
How to find the sum of the radii of the two circles C₁ and C₂Since the two circles have same centre and touch a third circle at same point, The two circles have equal radius r
The distance, d from the origin using point x and y given is solved for as follows:
d^2 = x^2 + y^2
d^2 = 3^2 + 4^2
d^2 = 9 + 16
d^2 = 25
d = √25
d = 5
Radius if the two circles is 5 - 3 = 2
One of the radius is 2 hence sum of the two radii
= 2 + 2
= 4 units
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13 1. What is the volume of the cone shown below?
5 cm
13 cm
Note: The figure is not drawn to scale.
the volume of the cone when radius is cm and height is 13 cm is 340.34 cm³
What are derived units?
Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the International System of Units (SI). There are two types of derived units: dimensionless and the product of base units.
Here, the given data for cone are :
radius of base r = 5 cm = 0.05 m
height of cone h = 13 cm = 0.13 m
Now, the volume V of cone is given by :
V = 1/3 πr²h
Now, finding the volume of cone by substituting the values in above equation :
V = 1/3 πr²h
V = 1/3 π x (5)² x 13
V = 340.34 cm³
Therefore, the volume of the cone is 340.34 cm³
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given cosine of x is equal to negative square root of 3 over 2 comma what is the value of cos(x π)?
Value of cos(x+π) = [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]
Given cosine of x = [tex]-\frac{\sqrt{3} }{2}[/tex]
i.e., cos(x) = [tex]-\frac{\sqrt{3} }{2}[/tex]
Also cos([tex]\frac{\pi}{6}[/tex]) = [tex]\frac{\sqrt{3} }{2}[/tex]. So x = [tex]\frac{\pi}{6}[/tex].
We need to find cos(x+π) = cos([tex]\frac{7\pi}{6}[/tex]).
But its value is not easy to find. So we use trigonometric formulas.
We have the trigonometric formula, cos (x+π) = - cos(x) = - [tex]-\frac{\sqrt{3} }{2}[/tex] = [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]
Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).
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Mr. Sid spends 2 5 of his salary on food and 3 10 of the remaining on house rent and electricity. If he keeps the remaining part of his salary as savings, what fraction of his salary does he save?
The fraction of his salary he does save is 3/10, on the basis that Mr. Sid spends 2/5 of his salary on food and 3 10 of the remaining on house rent
What fraction of total salary is saved?
The fraction of the salary saved means the proportion of total salary that is neither spent on food nor on house rent, it can determined as the total salary minus the fractions spent on food and house rent respectively
If assume that the total salary is 1, when deducting 2/5 and 3/10 from 1 we can determine the part that is saved
savings=1-(2/5)-(3/10)
if lcm is 50, we would have the below
savings=(50-20-15)/50
savings=15/50
savings=3/10
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Gina Wilson Unit 7 Homework 2 . answers for all please
1) 72 + 18 =90. Therefore the angles are complementary angles
2) Angles one and two are a pair of opposite angles made by two intersecting lines. Those are called vertical angles.
3) Those two are right angles, and two right angles add up to 180. So they are right angles and supplementary angles.
4) Adjacent angles
5) Vertical angles and supplementary (because both are right angles)
6) Right angles, supplementary, linear, adjacent angles.
7) Complementary and adjacent angles.
8) Angle of a straight line is 180. So 180-21 should equal x. x=159
9) As stated in number 2, vertical angles are congruent. x=129
10) 38 and x are complementary angles. (it shows a box on the angle formed by both of them, which means it is a right angle.) 90-38 = 52
11) Vertical angle rule. y = 93. The sum of 93, y, x, and z is 360, because the degree of a full circle is 360 degrees. so, 360-93-93 is 174. However, because of the vertical angle rule we will know that x=z. so 174/2 is 87.
x=87 and z=87
12) If you read the question, it states m∠PQR is 147, and ∠PQR is consisted of 119 and x. So, 147-119 is x. x=28
13) W and 34 are linear angles. Linear angles add up to 180 degrees. So, 180-34. w=146. Angle x is labeled with a box at the vertex of the angle. That indicates it is a right angle. x=90. The angle formed with 34 and z is labeled with a box at the vertex, indicating 34+z is 90. Therefore, 90-34=z. z=56. Finally, because angle x is linear with angle (y+z), we will know that y+z is equal to 90. Therefore, y+z=90, y+56=90, y=90-56, y=34
14) We are given that m∠AEC is 41. ∠AEC and ∠AED are linear angles. So, m∠AED = 180-41. m∠AEC=139
15) ∠DEF is a right angle, indicated by the box label at the vertex. ∠DEF and ∠CEF are linear angles, therefore m∠CEF = 180-90. m∠CEF=90
16) ∠DEB and ∠AEC are vertical angles. Therefore m∠AEC and m∠DEB are equal. ∠DEB=41
17) ∠DEB and ∠BEF form a right angle together. In question 16 we confirmed that m∠DEB is 41. Therefore m∠BEF is equal to 90-41.
m∠BEF=49
18) In question 15 we confirmed that m∠CEF is 90, and in question 17 we confirmed that m∠BEF is 49. So m∠CEB must be 90+49. m∠CEB=139
19) In question 15 we confirmed that m∠CEF is 90, and the direction states m∠AEC is 41. Therefore m∠AEF is 90+41. m∠AEF=131
20) Vertical angles are congruent. Therefore ∠PQR is the same degree measure as ∠SQT. m∠PQR=109
21) Complementary angles add up to 90. Therefore ∠2+∠3 = 90. And it is given that ∠2=24. Therefore ∠3 = 90-24. ∠3=66
22) Supplementary angles add up to 180. Therefore ∠K+∠L= 180. And it is given that ∠K=56. Therefore ∠L = 180-56. ∠L=124
a have a box of d chocolates. i eat 7 of them. how many chocolates are left?
Answer:
d-7 would be the equation. If you don't know what D is, use the variable "D"
Can someone please help mee (20 points + brainliest!!!)
Answer:
m = - 1 and b = - 4
Step-by-step explanation:
the equation of a line in slope= intercept form is
y = mx + b (m is the slope and b the y- intercept )
here slope m = - 1 , then
y = - x + b ← is the partial equation
to find b substitute (- 3, - 1 ) into the partial equation
- 1 = 3 + b ⇒ b = - 1 - 3 = - 4
y = - x - 4 ← equation of line
with m = - 1 and b = - 4
What is the value of the following expression?: 6+32-5-7
O a. 44
O b. -12
C. 398
O d. 68
Answer:
44
Step-by-step explanation:
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line is: 1.
How to Find the Slope of a Line?Slope of a line (m) = rise of the line / run of the line.
Given the line in the diagram, the image attached below shows the run of the line, which is the blue line, and the rise of the line, which is the red line.
Rise of the line = 2 units
Run of the line = 2 units
Slope of the line = 2/2
Slope of the line = 1
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MARKING BRAINLEIST IF CORRECT
d ; x = 36 degrees
Step-by-step explanation:Straight angle = 180 degrees
The Acute angle = 2x
The Obtuse angle = 3x
2x + 3x = 180
5x = 180
x = 180/5
x = 36
(1/a)+(1/b)-(1/c)=4 for c
The value of the c is obtained as; c = ac/(b + a - 4ab).
What is defined as the equation?A mathematical equation can be defined in a variety of ways. In its most basic form, an equation is a statement that demonstrates that two formulas are equal.
3x + 5 = 24, for example, is an equation in which 3x + 5 and 24 are two declarations kept separate by a 'equal' sign. In mathematics, the most basic as well as simple algebraic formulas consist of one or more variables.A linear equation can have multiple variables. A linear equation is one in which the variable's highest power is always 1. A one-degree equation is another name for it.Now, for the given equation in three variables;
(1/a)+(1/b)-(1/c) = 4
Bring the quantity to be find on one side and others on the other side.
1/a + 1/b - 4 = 1/c
Taking LCM on the left hand side.
(b + a - 4ab)/ab = 1/c
Taking the reciprocal on the both side.
c = ac / (b + a - 4ab)
Thus, the solution of the given equation in the terms of the c is;
c = ac / (b + a - 4ab).
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question add 113 (−56) using the number line. select the location on the number line to plot the sum.
The addition of 113 and -56 using the number line gives the answer as 57.
the two numbers to be introduced are 113 and -56.A fine variety indicates we have to move within the proper course at the range line. A negative variety suggests we have to pass within the left course at the wide variety line. We continually begin from the neutral cost, i.e., zero.We circulate 113 unit steps closer to the right of zero and mark that point.We now need to move fifty six unit steps towards the left of the ultimate marked factor, i.e., from 113 to mark it as our final result of addition.in this way, we can upload any two numbers the usage of the variety line.To learn more about the number line, visit :
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Alva has 4 packs of pencils. There are 15 pencils in each pack. She wants to put an equal number of pencils into 6 pencil pouches. Which expression would show how many pencils can go in each pencil pouch?
4÷15×6
(15×4)÷6
(15÷4)×6
4×15×6
What does 1 whole 1/5 - 2 wholes 3/4 =
HEY I NEED HELP ASAP CAN YOU HELP? WILL GIVE BRAINLYIST
show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.
Question:
Abdul wants to put a rug in a square room that has an area of 775 square feet. He wants to leave a 3-foot border of bare floor on each side. What are the dimensions of the rug rounded to the nearest hundredth?
The dimensions of the rug which Abdul would use in discuss as described in the task content are; 21.84 ft by 21.84 ft.
What are the dimensions of the rug rounded to the nearest hundredth?It follows from the task content that the dimensions of the rug which Abdul would use in the room in discuss are to be determined.
Since the room Abdul wants to put a rug on is; 775 ft² and the room is a square room.
It follows that all sides of the room are equal and the length of each side can be determined as;
s = √Area; since Area = s².
s = √775
s = 27.839 ft.
Hence, the dimensions of the room is; 27.839 ft by 27.839 ft.
However, since he wants to leave a 3-foot border of bare floor on each side, it follows that the dimensions of the rug on each axis would be;
= 27.839 - 3 -3 = 21.839 ft on all sides.
Consequently, the dimensions of the rug rounded to the nearest hundredth are; 21.84 ft by 21.84 ft.
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how's ur day going? Also any tips on geometry?
What is the (square root of A)*(cube root of A)
Step-by-step explanation:
[tex] = \sqrt{a} \times \sqrt[3]{a} \\ = {a}^{ \frac{1}{2} } \times {a}^{ \frac{1}{3} } \\ = {a}^{ \frac{1}{3} + \frac{1}{2} } \\ = {a}^{ \frac{5}{6} } [/tex]
I CONVERTED THE TERMS TO BE IN A POWER FORM TO SOLVE THIS EASILY
AND USED THE LAW OF EXPONENT..MULTIPLYING POWERS OF THE SAME BASE WE KEEP ONE BASE AND ADD THE EXPONENTS.
How do I do this? How do I get from figure F to figure onto figure G?
Answer:
The answer would be to flip figure F across the y axis then across the x axis. It would then lie on figure G.
Step-by-step explanation:
Express the following volume as a monomial.
9m²n⁴
Answer:
3^2m^2n^4
Step-by-step explanation:
3^2m^2 * n^4
permutation p-values should never be zero: calculating exact p-values when permutations are randomly drawn
Permutation P-values should never be zero: calculating exact P-values when permutations are randomly drawn
This is a research paper whose authors are Belinda Phipson , Gordon K Smyth,
Abstract:
Permutation tests are among the most extensively used statistical procedures in current genomic research, and they include randomly permuting the sample or gene labels to assign p-values to test statistics. However, permutation p-values reported in the genomic literature are frequently estimated improperly, understating the number of permutations by roughly 1/m. When Monte Carlo simulation is used to assign p-values, the same thing frequently happens. Although the p-value understatement is generally small in absolute terms, the repercussions in a multiple testing situation might be severe.The underestimation stems from the intuitive but incorrect notion of using permutation to estimate the tail probability of the test statistic. Instead, we propose that permutation should be understood as yielding an exact discrete null distribution. The relevant literature, some of which is likely to have been relatively unavailable to the genetic community, is reviewed and summarised.Conclusions:
When permutations are selected at random, a computing approach is established for accurate p-values. The approach works for any number of permutations and samples. Some basic guidelines are offered for the practical application of permutation testing.To learn more about statistics, visit :
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Contains (5, 8) and is parallel to the graph of y = 7x - 6.
The required equation of the line is y = 7x–27.
The general equation of the line is y = mx + c.The given equation of the line is y = 7x–6.The slope (m) of the line is 7.The slope should be the same for another line to be parallel to this one.The required equation of line is of the form y = 7x + c.We know that the required line passes through the given point(5, 8).So, (5, 8) should satisfy the equation of the line.y = 7x + c8 = 7*5 + c8 = 35 + cc = –27Thus, the required equation for the line is y = 7x–27.To learn more about the slope, visit :
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translate the following verbal statement into an algebraic equation and then solve: use x for your variable. the quotient of three more than a number and six is nine.
Answer:
2x)\9
Step-by-step explanation:
Answer:
X+3/6=
Step-by-step explanation: