Answer:
both a and b
Step-by-step explanation:
It is because in the elimination method it does not matter whether you eliminate x or y so if you use option a which multiplies -2 by 1st equation so it will become:
-4x+6y=40
4x+6y=8
so the -4x and 4x cancels and a is a valid option.
If you use the b which multiplies the second with 3 it becomes:
2x-3y=-10
4x+3y=24
so -3y and 3y cancel which also makes this a valid option.
Answer: both a and b
The U.S. Department of Education reported that for the past seven years:4,0335,6426,4077,7538,71911,15411,121people received bachelor's degrees in JournalismWhat is the arithmetic mean annual number receiving this degree
The arithmetic mean annual number of people receiving a bachelor's degree in Journalism is about 7,833.
To find the arithmetic mean annual number of people receiving a bachelor's degree in Journalism over the past seven years, we need to calculate the average of the given data set.
The data set representing the number of people receiving bachelor's degrees in Journalism for each of the seven years is:
4,033
5,642
6,407
7,753
8,719
11,154
11,121
To find the mean, we sum up all the values and divide by the total number of years (in this case, seven).
Mean = (4,033 + 5,642 + 6,407 + 7,753 + 8,719 + 11,154 + 11,121) / 7
= 54,829 / 7
≈ 7,832.714
Rounding to the nearest whole number, the arithmetic mean annual number of people receiving a bachelor's degree in Journalism over the past seven years is approximately 7,833.
Therefore, the arithmetic mean annual number of people receiving a bachelor's degree in Journalism is about 7,833.
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A manufacturer of large kitchen appliances keeps track of the costs of warranty claims. Management suspects that 75%
of all warranty claims are invalid, 20% cost the company less than $500, and 5% of them cost the company more than
$500. To investigate this belief, a random sample of 80 warranty claims is selected from their vast records of past
warranty claims. The management would like to know if the distribution of claim results differs from what they suspect.
Are the conditions for inference met?
A. No, the random condition is not met.
B. No, the 10% condition is not met.
C. ✓ No, the Large Counts condition is not met.
D. Yes, all of the conditions for inference are met.
(ITS C)
Answer:
The correct answer is C.
Step-by-step explanation:
C. ✓ No, the Large Counts condition is not met.
-18 < 9.0
Your answer must be simplified
Answer:
The left side
−
18
is less than the right side
9
, which means that the given statement is always true.
True
Step-by-step explanation:
On the interval [0, 2π), which points are intersections of r = 5 4 sin(θ) and r = −6 sin(θ)? check all that apply.
On the interval [0, 2π), the points which are intersections of r = 5 4 sin(θ) and r = −6 sin(θ) is (3,7π/6) and (3,11π/6) option C and D.
The point of intersection is the junction of two lines or curves.
A point is where two lines from two curves cross.
The point of intersection is a line when two planes collide.
The junction of two lines is referred to as a "point of intersection." These two lines are denoted by the equations a1x+b1y+c1=0 and a2x+b2y+c2=0, respectively. The following diagram displays the location of the junction of the two lines. You may also find the junction of three or more lines.
Let,
5 + 4 sin(θ) = −6 sin(θ)
Then get
θ= -1/2
Then you can make it.
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Complete question:
On the interval [0, 2π), which points are intersections of r = 5 4 sin(θ) and r = −6 sin(θ)? check all that apply.
A) -3,7π/6
B) (-3,11π/6)
C) (3,7π/6)
D) (3,11π/6)
AB and BC are tangents to P. What is the value of x? A satellite is 13,200 miles from the horizon of Earth.
AB and BC are tangents to P. The value of x is 3200
AB and BC are tangents to PThe below-given diagram is as follows: AB and BC are two tangents to point P on the circle with center O. To find the value of x, we need to apply a theorem.
Theorem: The tangent at any point of a circle is perpendicular to the radius through the point of contact.Proof: Given a circle with center O. Let the tangent be AB and it touches the circle at point P.Let OP be the radius. Join PA and PB. It is to be proved that OA is perpendicular to AB.
Because OP is the radius of the circle, then OP is perpendicular to AB.To prove the theorem, we only need to show that OA coincides with OP.
Construction: Join OA and extend it to meet AB at Q. To prove that OP coincides with OA, we need to show that OP = OA. Join PB and extend it to meet OA at R. By the Angle Sum Property of a Triangle in ∆OAP,
∠POA + ∠OPA + ∠OAP = 180°
By the Angle Sum Property of a Triangle in ∆OPB,
∠PBO + ∠PBO + ∠OBP = 180°
Because O is the center of the circle, hence OP is equal to OB. Therefore,
∠POA + ∠OPA + ∠OAP = ∠PBO + ∠PBO + ∠OBP∠POA + ∠OPA + 90° = ∠PBO + ∠PBO + 90°
Adding 90° to both sides,
∠POA + ∠OPA + 180° = ∠PBO + ∠PBO + 180°∠POA + ∠OPA = ∠PBO + ∠PBO ……….. (1)
In ∆POR,
∠ROP + ∠RPO + ∠POR = 180°
∠ROP + 90° + ∠POR = 180°
∠ROP + ∠POR = 90° ……….. (2)
In ∆ROB,
∠ORB + ∠RBO + ∠OBM = 180°
∠ORB + 90° + ∠OBP = 180°
∠ORB + ∠OBP = 90° ……….. (3)
From equation (1), we have
∠POA + ∠OPA = ∠PBO + ∠PBO
From equation (2) and (3), we have
∠ROP + ∠POR = ∠ORB + ∠OBP
Substituting, we get
∠ROP + ∠POR = ∠ORB + ∠OBP∠ROP + ∠POR = ∠ROP + ∠RBO∠POR = ∠RBO ……….. (4)
Now, In ∆RPO and ∆RBO
∠RPO = ∠RBO (From equation 4)
∠POR = ∠OBP∆RPO ≅ ∆RBO(OP = OB,
∠RPO = ∠RBO, ∠POR = ∠OBP)RP = RB ……….. (5)
Therefore, OAPB is a parallelogram(OP || AB). From the figure, we can see that 13,200 = x + 9,000. Simplifying, we have:
3200 = x
Therefore, x = 3200Thus, the value of x is 3200.
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Complete Question
The complete question is: "In the given diagram, AB and BC are tangents to point P on the circle with center O. The value of x is 3200. What is the value of x?"
What are the 3 rules of limits?.
We can calculate limits considering the following rules:
Constant Rule The constant rule of limit calculus is utilized when a function is given in which there is no identical variable available. This rule states that the limit of the constant function remains as it is.
Limu→a k = k
Constant time function rule This rule is utilized when there are stagnant coefficients along with the identical variables of the function. This rule states that the constant coefficient will be written outside the limit notation.
Limu→a kf(u) = k Limu→a f(u)
Sum Rule The sum rule is utilized when there are two or more terms or functions given along with the additional sign among them. This rule states that the denotation of the limit will apply to every function separately.
Limu→a [f(u) + g(u)] = Limu→a [f(u)] + Limu→a [g(u)]
Difference Rule The difference rule is utilized when two or more terms or functions are mentioned along with the minus sign among them. This rule expresses that the notation of the limit will be implied to each function segregation.
Limu→a [f(u) – g(u)] = Limu→a [f(u)] – Limu→a [g(u)]
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Answer:
Step-by-step explanation:
We can calculate limits considering the following rules:
Constant Rule The constant rule of limit calculus is utilized when a function is given in which there is no identical variable available. This rule states that the limit of the constant function remains as it is.
Limu→a k = k
Constant time function rule This rule is utilized when there are stagnant coefficients along with the identical variables of the function. This rule states that the constant coefficient will be written outside the limit notation.
Limu→a kf(u) = k Limu→a f(u)
Sum RuleThe sum rule is utilized when there are two or more terms or functions given along with the additional sign among them. This rule states that the denotation of the limit will apply to every function separately.
Limu→a [f(u) + g(u)] = Limu→a [f(u)] + Limu→a [g(u)]
Difference RuleThe difference rule is utilized when two or more terms or functions are mentioned along with the minus sign among them. This rule expresses that the notation of the limit will be implied to each function segregation.
Limu→a [f(u) – g(u)] = Limu→a [f(u)] – Limu→a [g(u)]
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how to show h(t) = |r(t)|^2
To show h(t) = |r(t)|², where r(t) is a complex-valued function, we need to first find the magnitude of r(t) and then square it.
Let r(t) = x(t) + i y(t) be a complex-valued function, where x(t) and y(t) are the real and imaginary parts of r(t), respectively. The magnitude of r(t) is given by |r(t)| = √(x(t)² + y(t)²), which is the distance of the point (x(t), y(t)) from the origin in the complex plane.
To find |r(t)|², we simply square the magnitude, i.e., |r(t)|² = (x(t)² + y(t)²).
Therefore, h(t) = |r(t)|² = (x(t)² + y(t)²),
which is the sum of the squares of the real and imaginary parts of r(t).
In the case where r(t) is a real-valued function, i.e., y(t) = 0, then h(t) reduces to h(t) = r(t)².
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5 people all of different age are sitting around a round table, what is the probability they are sitting in age order.
The probability that they are sitting around a round table in age order is 1/12. There are 10 ways for five people to sit in age order.
What is probability?Probability is a numerical description of how possible an event to happen. Probability of an event can be expressed as
P(A) = n(A) / n(S)
Where
P(A) is the probability of an event An(A) is the number of favorable outcomesn(S) is the total number of events in the sample spaceFive people all of different age are sitting around a round table.
Find the probability they are sitting in age order!
Let's name the 5 people 1, 2, 3, 4, 5.
There are two ways in putting them in the age order, ascending or descending.
Ascending: 12345, 23451, 34512, 45123, 51234.Descending: 54321, 43215, 32154, 21543, 15432.There are 10 ways that they are sitting around a round table in the age order.
n(Age order) = 10
The total arrangements for 5 people sitting around a round table is
5! = 1 × 2 × 3 × 4 × 5
5! = 120 ways
n(S) = 120
The probability that they are sitting in age order would be
P(Age order) = n(Age order) / n(S)
P(Age order) = 10/120
P(Age order) = 1/12
Hence, the probability that five people are sitting around a round table in age order is 1/12.
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What is the measure of arc FG?
PLEASE HELP , i’ll make BRAINLIEST
what is the vaule of x
in a regression with 7 predictors and 62 observations, degrees of freedom for a t test for each coefficient would use how many degrees of freedom?
in a regression with 7 predictors and 62 observations,The degrees of freedom for a t-test for each coefficient would use 55 degrees of freedom (df = 62 - 7 = 55).
The degrees of freedom for a t-test for each coefficient is calculated by subtracting the number of predictors (7) from the number of observations (62) in a regression with 7 predictors and 62 observations,. This leaves us with 55 degrees of freedom (df = 62 - 7 = 55). Degrees of freedom measure the number of observations that are free to vary in estimating a parameter. In other words, they are the number of observations that are used to generate the estimate. In this case, there are 55 observations that can be used to estimate each coefficient.
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find the length and width of rectangle :
the width is one third the length and the area is 15m square
A rectangular prism with a 8-centimeter length, a 4-centimeter
width, and a 5-centimeter height is placed on a rectangular prism
with a 14-centimeter length, a 8-centimeter width, and a 1-
centimeter height.
6 cm
4 cm
5 cm
14 cm
1 cm
8 cm
What is the volume of the composite solid?
The volume is cubic centimeters.
Step-by-step explanation:
First prism volume = L x W x H = 8 x 4 x 5 = 160 cm^3
Second prism = 14 x 8 x 1 = 112 cm^3
Total = 160 + 112 = 272 cm^3
The volume of the composite solid will be 272 cubic cm.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,
V = L x W x H
The shape is the combination of the two rectangular prisms. Then the volume is calculated as,
V = (6 x 4 x 8) + ((14 - 4) x 1 x 8)
V = (6 x 4 x 8) + (10 x 1 x 8)
V = 192 + 80
V = 272 cubic cm
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How do you decide which rational number operations to use to solve problems.
Answer:
Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
289 and y more is 206
Answer:
Equation translates to 289 + y = 206
it solves to y = -83
====================================================
Explanation:
The "and y more" means we are adding y onto 289 to get the expression 289+y. This is set equal to 206 because of the term "is" in the original statement.
Therefore, "289 and y more is 206" translates fully to the equation 289+y = 206
This is the same as saying y+289 = 206
To isolate y, we undo what is happening to it. We are adding 289 to it, so we must subtract 289 from both sides
y+289 = 206
y+289-289 = 206-289
y = -83
So we are adding -83 to 289 to get 206
find a if given c and θ
Answer:
a = c * SinФ
Step-by-step explanation:
SinФ = opp / hyp
c = hyp
a = opp
SinФ = a / c
therefore
a = c * SinФ
what is 5 and one half minus three and one third?
Answer:
1 2/3
Step-by-step explanation:
5 1/2 = 11/2 x 3 = 33/6
3 1/3 = 10/3 x 2 = 20/6
30 - 20 = 10/6 = 1 4/6 = 1 2/3
Answer: 2 1/6
Step-by-step explanation:
5 1/2 - 3 1/3
=
5 3/6 - 3 2/6
=
5 - 3 = 2
3/6 - 2/6 = 1/6
= 2 1/6
can yall help me smart people
Answer:
D y>0
Step-by-step explanation:
(0,∞)
Lashonda is on her way home in her car. Her drive is 20 miles long. She has finished four-fifths of the drive so far. How far has she driven?
Answer:
Lashonda has driven 16 miles.
Step-by-step explanation:
4/5 = ?/20
You're able to solve the missing variable in a lot of ways, but cross multiplication is one of them.
20 · 4 = 80
80/5 = 16
I hope this helped! Happy new year :)
In circle A below, chord BC and diameter DAE intersect at F. If mCD= 46° and mDB= 102° , what is ∠CFE?
(Pls help me i need this turned in tonight and this is the last question on my assignment)
Answer:
∠CFE = 118°
Step-by-step explanation:
You want the measure of angle CFE given arcs CD = 46° and DB = 102°, where DE is a diameter of circle A.
Arc CEThe measure of arc CE is the supplement of arc CD, so is ...
arc CE = 180° -45° = 134°
Angle CFEThe measure of angle CFE is the average of the measures of the arcs the chords subtend:
(DB +CE)/2 = (102° +134°)/2 = 118°
The measure of angle CFE is 118°.
__
Additional comment
The figure in the attachment is drawn to scale.
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A concerned mother wants to ensure that her children are drinking pure water. Specifically, she wants to compare the water quality that comes from her kitchen sink to that which runs through her stand-alone water-filtration system.
She purchases a device that measures the contamination of the water on a scale of 0–100, where 0 indicates no contaminants and 100 means the water is fully contaminated and unsuitable for human consumption.
She selects 30 samples of water from her kitchen sink. She randomly selects 15 of the samples to run through the water-filtration system. Afterward, she measures the contamination of all 30 samples of water, cleaning the device between each measurement.
She computes the average contamination score for the 15 samples of water that came directly from her sink, as well as the average contamination score for the 15.
What is the purpose of the random assignment?
to ensure that there are enough samples of water in each group
to ensure that the two groups of water are of equal sizes
to ensure that the two groups of water samples are roughly equivalent at the beginning of the experiment
to reduce variability in the water contamination levels
Answer:
C
Step-by-step explanation:
edge 2021
To ensure that the two groups of water samples are roughly equivalent
what is variability in statistics?Variability describes how far apart data points lie from each other and from the center of a distribution. Along with measures of central tendency, measures of variability give you descriptive statistics that summarize your data. Variability is also referred to as spread, scatter or dispersion.
Given here, she collects 15 samples of sink water and 15 samples of filtered water. Thus the overall objective of this experiment is to make sure there are equivalent amount of samples and also reduce variability.
Hence, To ensure that the two groups of water samples are roughly equivalent
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AB= x+8, LM= 4x+3, and DC= 138. What is the value of x?
Answer:
d 20
Step-by-step explanation:
LM = (AB + CD)/2
4x + 3 = (x + 8 + 138)/2
8x + 6 = x + 8 + 138
7x = 140
x = 20
Can someone help me solve for X
Step-by-step explanation:
You can apply the power of point to this problem. Essentially, it states that:
\(5\cdot12=2\cdot(2+x)\\30=2+x\\x=28\)
Select the math statement that is true.
A. 1.86 + 0.3 = 1.89 3.4 + 4.12 = 4.46
B. 6.7 + 1.2 = 7.9
C. 8 + 0.6 = 1.4
Answer:
Select the math statement that is true.
B. 6.7 + 1.2 = 7.9Step-by-step explanation:
You're welcome.
can someone help me with this question.
Answer:
C.
Step-by-step explanation:
F(n) = 2.4 N-1
Maya sells candles to her 5 neighbors. Each neighbor buys 2 boxes of candles. There are 6 candles in each box. What is the total number of candles that all of her neighbors will get?
Answer:
Each neighbor will get 12 candles so in total, 60 candles will be sold.
Step-by-step explanation:
True or False: The response variable, y, and the explanatory variable, x, can be interchanged in the least squares regression line equation.
False, the response variable, y, and the explanatory variable, x, cannot be interchanged in the least squares regression line equation.
The least squares regression line equation, also known as the regression equation, is a mathematical model that represents the relationship between a response variable, denoted as y, and an explanatory variable, denoted as x. In this equation, y is the variable being predicted or estimated, while x is the variable used to explain the variation in y. The regression equation is typically written as y = mx + b, where m is the slope of the line and b is the y-intercept.
The response variable, y, represents the outcome or dependent variable in a regression analysis, while the explanatory variable, x, represents the predictor or independent variable. These variables have different roles and cannot be interchanged in the regression equation. The slope, m, represents the change in y for a one-unit change in x, and the y-intercept, b, represents the predicted value of y when x is equal to zero.
Interchanging the response variable, y, and the explanatory variable, x, in the regression equation would result in an incorrect representation of the relationship between the variables. It would imply that y is used to explain the variation in x, which is not the intended purpose of the regression model.
Therefore, it is important to correctly identify and use the appropriate response and explanatory variables in the least squares regression line equation to obtain valid and meaningful results.
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JL = 22 and KL = 13. Find JK.
Answer:
35
Step-by-step explanation:
Step 1:
JL + KL = JK Equation
Step 2:
22 + 13 = JK Substitution
Answer:
JK = 35 Add
Hope This Helps :)
You have a mortagege of $275,000
after down payment with an interest
rate of 3% for 30 years.
What does P, r,n, and t are equal to?
Answer:
Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this
Step-by-step explanation:
16. Solve for x. x = __________
Answer:
20
Step-by-step explanation: