The value of y-coordinate of the solution of the system of equation
2x + 3y = 6 and 2x + y = -2 is y = 4.
Given, a system of equation
2x + 3y = 6 and 2x + y = -2
On subtracting both the equations, we get
3y - y = 6 - (-2)
2y = 6 + 2
2y = 8
On dividing both the sides by 2, we get
2y/2 = 8/2
y = 4
So, the value of y-coordinate of the solution is y = 4.
Hence, the value of y-coordinate of the solution of the system of equation 2x + 3y = 6 and 2x + y = -2 is y = 4.
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in a large city, you pick a sample of 30 of lawn mowings during summer whose standard deviation is 7.7. the margin of error for a 90% confidence interval will be
2.388 is the margin of error for a 90% confidence interval will be standard deviation.
What does the standard deviation of the sample mean?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.Sample size n=30
Sample standard deviation s= 7.7
t critical at alpha =0.10, for 29 d.f. is 1.699
Margin error = t critical ×s/√n
=1.699×7.7/√30 = 2.388
Margin error =2.388
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The numbers 1 to 5 are written on separate slips of paper and put into a hat. The hat is given a good shake before the number is drawn from it.
Calculate the probability that an even number is drawn
Answer:
2 in 5 or 40%
Step-by-step explanation:
Combine Like Terms
) Which expression is equivalent to 12x - 10x + 4x - 2x²
A. 6x
B. 38x
C. 8x
D. 4x
if g(x)=lnx and f is a differentiable function of x, which of the following is equivalent to the derivative of f(g(x)) with respect to x ?
a. f'(1/x)
b. f'(x)/x
c.f' (In x)
d. f'(In x)/x
The derivative of f(g(x)) with respect to x is f'(1/x).
What are Derivatives?The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, group of assets, or benchmark.
Given that, g(x)=ln x
Differentiation of ln x = 1/x
Hence, The derivative of f(g(x)) with respect to x is f'(1/x).
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Which expression represents the word phrase the product of 3 and 6 more than a number?.
Answer:
3*x+6
Step-by-step explanation:
formulate
3*x+6
An a recent year, person A and person B had the two top-grossing concert tours, together generating about $314 million in ticket sales. If person B took in $28 million less than person A, how much did each tour generate?
The amount generated by person A's tour is $___ million, and the amount generated by person B's tour is $___ million.
Taking into account the definition of a system of linear equations, the amount generated by person A's tour is $171 million, and the amount generated by person B's tour is $143 million.
System of linear equationsA system of linear equations is a set of linear equations that have more than one unknown, related by the aforementioned equations and whose objective is to find out their values.
Then, solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
This caseIn this case, a system of linear equations must be proposed taking into account that:
"A" is the amount generated by person A's tour."B" is the amount generated by person B's tour.You know:
Person A and person B had the two top-grossing concert tours, together generating about $314 million in ticket sales. Person B took in $28 million less than person A.The system of equations to be solved is
A + B= 314 million
B= A - 28 million
From the several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, substituting the second equation in the first one you get:
A + A - 28 million= 314 million
Solving:
A + A= 314 million + 28 million
2A= 342 million
A= 342 million÷ 2
A= 171 million
Substituting this value in the second equation:
B= A - 28 million
B= 171 million - 28 million
B= 143 million
Finally, the amount generated by person A's tour and B's tour is $171 million and $143 million respectively.
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What number would make this statement true?
1/7 = 7/?
6. MP Justify Conclusions Tammy was
comparing information for two cell phone
plans. Plan A would cost $480 for one year.
Plan B would cost $250 for 6 months.
Tammy reasons that plan B must cost more
for one year. Is there enough information to
know if she is correct? Explain your
reasoning.
Answer:
Theusage is 585 minutes of call duration..
Explanation:
Fixed plan cost is M=$.39.95
Charge for first 500 minutes call: Free
Charge for call exceeding 500 minutes: $.0.35/minutes.
Let x minutes be the total call duration.
The bill is P=$.69.70 i.e. more than $.39.95, which indicates
call duration is more than 500 minutes.
The rule states that bill for call exceeding 500 minutes is
P=M+(x−500).0.35 or
69.70=39.95+(x−500).0.35 or (x−500).0.35=69.70−39.95 or
(x−500).0.35=29.75 or (x−500)=
0.35
29.75
or
(x−500)=85 or x=500+85=585 minutes.
The usage is 585 minutes of call duration .
Step-by-step explanation:
hope this helps
Help! I have the test due in 14 minutes!
Desmos graphing calculator is a life saver for questions like this
Answer:
option 3
Step-by-step explanation:
2x + 5y = 20
to bring this to a staffers equation with y on one side and everything else on the other, we see that we get a negative x term. that means the line goes down when going from left to right.
5y = -2x + 20
y = -2/5 x + 4
so, we also see that the y-intercept is 4.
so, option 3 is correct.
You want to earn 150. To buy a new pair of shoes. However, if you earn more than 500, you'll be charged tax on your business write and solve an inequality that shows how many bracelets you can sell so that you earn the money for a new pair of shoes without going over the 500 limit. Show work
Answer:
150≤x≤500
Step-by-step explanation:
the area of a rectangle is 257 1/4 in and the length is 10 1/2 in what is the width
For the given rectangle, the area for given rectangle is 257 1/4 in. and length of a rectangle is 10 1/2 in. then its width is given by 24 1/2 in.
As given in the question,
For the given rectangle,
Area of a given rectangle is equal to 257 1/4 in.
length of a given rectangle is 10 1/2 in.
Let w be the width of a rectangle we have,
Area of a rectangle = length × width
257 1/4 = 10 1/2 × w
Convert mixed fraction into proper fraction we get,
(1029 /4) = (21/2) × w
⇒ w = (1029 ×2) / (21 × 4)
⇒ w = 49 /2
⇒ w = 24 1/2 in.
Therefore, for the given rectangle, the area for given rectangle is 257 1/4 in. and length of a rectangle is 10 1/2 in. then its width is given by 24 1/2 in.
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simplify using only positive exponents
Answer:
8/x^3
Step-by-step explanation:
(2x^-1)^3
First, we must use the power-to-power rule to eliminate the double exponents. When a power is raised to a power, we must multiply them. This makes the exponent of x-3 and makes two into 8.
8x^-3
We can eliminate negative exponents by bringing their subject to the opposite side of the fraction line, so in this case, we bring down the x^-3 to the bottom, making it x^3. The final answer is:
8/x^3
helppp!!! please asap!!!
The least common denominator for the rational expression is (x + 8) (x + 2) (x - 1)
What is LCD in Rational Expression ?
The denominators' smallest common multiple is called the LCD. We factor the expressions and multiply each unique factor to obtain the LCD of two rational expressions.
The given expression is,
(x + 2) / (x² + 7x - 8) , (x - 6) / (x² +10x + 16)
Let,
(x + 2) / (x² + 7x - 8) --------eq(i)
(x - 6) / (x² +10x + 16) ----------- eq(ii)
First take the denominator of eq(i)
The denominator is = x² + 7x - 8
We know, this is quadratic equation so just solve this equation
⇒ x² + 8x - x - 8
⇒ x(x + 8) - 1(x + 8)
⇒ (x - 1) (x + 8)
Next, take the denominator of eq(ii)
The denominator is = x² + 10x + 16
And, this is also a quadratic equation so the factors are,
⇒ x² + 8x + 2x + 16
⇒ x(x + 8) + 2(x + 8)
⇒ (x + 2) (x + 8)
So, after solving both the denominators we get the factors ,
(x - 1) (x + 8) and (x + 2) (x + 8)
As, we see (x + 8) is common just write it once and else terms write as it is,
LCD = (x + 8) (x - 1) (x + 2)
Therefore, the least common denominator for the rational expression is (x + 8) (x + 2) (x - 1)
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What is the equation in standard form of the line that passes through the point (4, 3) and has a slope of 1/2?
Answer: y=1/2x+1
Step-by-step explanation:
Use the equation y=mx+b
Insert the points and slope: 3=1/2(4)+b
Simplify: 3=2+b
Simplify: 1=b
Final equation: y=1/2x+1
Find the missing length indicated for 1 and 2
Marking brainlist
Answer:
Step-by-step explanation: I think you have to add all the numbers together then divide by all the numbers i think
Which point is a solution to the linear inequality y < negative one-halfx 2? (2, 3) (2, 1) (3, –2) (–1, 3)
The solution to the linear inequality is (2, 1).
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. These figures are referred to as the equation or inequality's solutions. A set of such values is called a solution set to the considered equation or inequality.
we have given that the linear inequality y < Negative one-half + 2
y < - 1x/2 + 2
The solution of the inequality is the shaded area below the dashed line;
y = - 1x/2 + 2
The slope of the dashed line is negative 1/2.
The y-intercept of the dashed line is the point (0,2) and the x-intercept of the dashed line is the point (4,0).
Noted that Any point that lies on the shaded area is a solution to the inequality and if a point is a solution to the linear inequality, then the point must satisfy the inequality.
The complete question is : Which point is a solution to the linear inequality y < Negative one-halfx + 2? (2, 3) (2, 1) (3, –2) (–1, 3)
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Answer:(3,-2)
Step-by-step explanation: edge 2022
Please help me solve this!!!
Step-by-step explanation:
NP is the radius of the fictitious circle with center in P.
sin(P) = sqrt(55)/NP
Pythagoras gives us NP :
c² = a² + b²
so
NP² = 55 + 45 = 100
NP = 10
therefore,
sin(P) = sqrt(55)/10
a manufacturer of headache medicine claims it is 70% effective within a few minutes. that is, out of every 100 users, 70 get relief within a few minutes. a group of 12 patients are given the medicine. if the claim is true, what is the probability that eight have relief within a few minutes?
0.231140 is the probability that eight have relief within a few minutes .
What is probability explain with an example?
It is based on the probabilities that something could happen. The logic underpinning probability serves as the foundation for theoretical probability. A coin is tossed, for instance, and the theoretical likelihood of getting a head is 1 in 2.let X be the number of patients having relief within a few minutes out of 12 patients.
so X~ Bin(12,p) where p=0.70
so P[8 have relief within a few minutes]=P[X=8]
= ¹²C⁸ * 0.78 * 0.34
= 0.231140
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The graph and the table show the total costs of two different summer programs, y, as the function of the number of classes, x on iready
Answer: When the number of classes is 1 or 2, fishing is less expensive.
When the number of classes is 3 or 4, canoeing is less expensive.
Step-by-step explanation:
Two fishing classes are less than two canoeing classes; three or four canoeing classes are than three or four fishing classes.
What is the coefficient in the algebraic expression: -x + 3
Answer:
1
Step-by-step explanation:
The coefficient of an algebraic expression (-x+3) corresponds to the number that precedes (or multiplies) the variables in it 1.
Please help me with this question!!!
Answer:
Step-by-step explanation:
A formula that is used to find the time period of a cyclic phenomena based on the frequency as follows
T=1/f
f is frequency
We need to solve the formula for f in terms of T. Cross multiplying the above formula such that :
Therefore, this is the required explanation.
what is the average rate of change of the function f(x) = 2(3)^x from x = 2 to x = 4?
Answer:
Step-by-step explanation:
72
Answer:
72
Step-by-step explanation:
The way to find the average rate of change between two points is to divide [tex]\frac{f(a)-f(b)}{a-b}[/tex].
1.) We plug the points into the formula. If you plug them in, you get [tex]\frac{2(3)^4-2(3)^2}{4-2}[/tex].
2.) Simplify. If we simplify, we get 3^4-3^2=72
Can someone help me I need the answer fast plsss
Answer: The volume of the sculpture is approximately 14 894 m3
Explanation v=lwh
v=(29)(33)(15)
v=14366
formula for the volume of a right cylinder.
The radius
r=1/2(7m)
r=3.5m
v=3.14(r)^2h
v=3.14*(3.5)^2(14)
v=538
The volume of the sculpture is:
14355+538
which is eq to 14893
q 2 .....
The surface area of the sculpture is approximately 4082 m2
What is the answer to this question
Answer: A
Step-by-step explanation: hope this helps!
please give brainliest!
Answer:
A. Michael must get a degree in engineering LOLLLLL
HELP ASAP THIS IS TIMED!!!!
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which statements are always true regarding the diagram? Select three options.
m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Answer:
1. m∠5 + m∠6 = 180° ...........Linear Pair
2. ∠ 2+ ∠ 3 = ∠ 6.................Exterior angle Property of Triangle
3. m∠2 + m∠3 + m∠5 = 180° .....Triangle Sum Property
Solve the system by substitution. x-6y=22 x=-5y
Answer:Nothing further can be done with this topic. 6y=22,x=−5y
Step-by-step explanation:
Answer:
Step-by-step explanation:
Substitute the value of x (-5y) into the equation. Which gives you -5y-6y=22, add like terms and you get -11y=22. Divide both sides by -11 and you get y=-2
Write 0.0401907 correct to
3 decimal places
Answer:
0.0401907 = 0.040 (to 3dp)
55 POINTS !!!
1. Anwer the following quetion. Quetion
What i an amount between $2 and $10? (A) __________
What i an amount between $10 and $20? (B) __________
What i an amount greater than $50? (C) __________
What i your name? (D) ____________
What i the name of an item that you will buy only once? (E) ____________
What i the name of an item that you will buy more than once? (F) ____________
The amount between $2 and $10 wiill be: (A) $8, (B) $10, (C) $50 - ∞ , (D) Khushboo ,(E) Real fruit, (F) Chips
What I an amount between $2 and $10? (A) $8
What I an amount between $10 and $20? (B) $10
What I an amount greater than $50? (C) $50 - ∞
What I your name? (D) Khushboo
What I the name of an item that you will buy only once? (E) Real fruit
What I the name of an item that you will buy more than once? (F) Chips
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The number of students that are studying abroad in 2001 is 150.38 thousand
The number of students that are studying abroad in 2018 is 467.53 thousand
What are the number of students?The given equation that represents the growth in the number of students that are studying abroad is known as an exponential equation. An exponential equation is a non-linear equation.
The given exponential equation is 123.1(1.069)^x
Where:
123.1 = number of students that studied abroad in 19981.069 = rate of growthx = number of yearsNumber of students studying abroad in 2001 = 123.1(1.069)^3= 150.38 thousand
Where x = 2001 - 1998 - 3
Number of students studying abroad in 2018 = 123.1(1.069)^20 = 467.53 thousand
Where x = 2018 - 1998 = 20.
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a hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. a sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. what is the sample variance? multiple choice 1.177 6.6 1.386 7.6
1.386 is the sample variance .
What does the standard deviation of the sample mean?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.Step 1:Add them up:
9.0 + 7.3 + 6.0 + 8.8 + 6.8 + 8.4 + 6.6 = 52.9
Step 2: Square your answer:
52.9 × 52.9 = 2798.41
…and divide by the number of items. We have 7 items in our example so:
2798.41 / 7 = 399.773
Set this number aside for a moment.
Step 3: Take your set of original numbers from Step 1, and square them individually this time:
9.0^2 + 7.3^2 + 6.0^2 + 8.8^2 + 6.8^2 + 8.4^2 + 6.6^2 = 408.09
Step 4: Subtract the amount in Step 2 from the amount in Step 3.
408.09 - 399.773 = 8.317
Set this number aside for a moment.
Step 5: Subtract 1 from the number of items in your data set. For our example:
7 – 1 = 6
Step 6: Divide the number in Step 4 by the number in.
This gives you the variance:
8.317/ 6 = 1.386
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