Answer:
x = 2.5
Step-by-step explanation:
In order to solve for x, we need to write an equation. This question gives us the angles of a triangle, so we can use this to write our equation. All angles of a triangle will always add to 180 degrees, therefore:
(12x+6) + 104 + 40 = 180
Now we can just take out the brackets, combine like terms and isolate and solve for x:
12x + 6 + 104 + 40 = 180
12x + 150 = 180
12x + 150 - 150 = 180 - 150
12x = 30
12x/12 = 30/12
x = 2.5
Hope this helped!
PLEASE HELP! I WILL GIVE BRAINLIEST!
A
B
C
D
Answer:
Option B
Step-by-step explanation:
The number line divided in 10 parts in between 0 and 1
The 0.45 is represented by point B
Answer:
It's B miss.
Step-by-step explanation:
Which statement best explains whether or not a calculator is the most efficient way to simplify (0.68 – 0.38 – 0.2) × 2.3? Multiplying the amount in the parentheses by 2.3 will be a time-consuming process, so using a calculator would most likely be more efficient. Some of the decimals are to the tenths digit and others are to the hundredths, so using a calculator would most likely be more efficient. The calculations inside the parentheses are easily done by hand and yield a value easily multiplied by 2.3, so finding the solution by hand would most likely be more efficient. Multiplying any number by 2.3 can be done quickly by hand, so solving this problem by hand would most likely be more efficient.
The statement that best explains whether or not a calculator is the most efficient way to simplify (0.68 – 0.38 – 0.2) × 2.3 is A. Multiplying the amount in the parentheses by 2.3 will be a time-consuming process, so using a calculator would most likely be more efficient.
What is multiplication?In mathematics, multiplying means adding equal groups. The number of things in the group grows as we multiply. A multiplication problem includes the two factors and the product. In the multiplication problem 6 9 = 54, the numbers 6 and 9 are factors, and 54 is the product.
A product is the outcome of multiplication, or an expression that identifies the objects to be multiplied, known as factors.
Therefore, option A is the correct option as using the calculator is easier.
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Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex..
Coordinates of the fourth vertex is (-4,7).
Given:
coordinates (5,-5),(7,-9) and (-2,-7)
From the figure:
Horizontal line vertices are (7,-9) and (-2,-7) on comparing the x coordinates the x is 9 units so the top line starting from (5,-5) should move 9 units left that is x coordinate is x = -4.
Vertical line vertices (5,-5) and (7,-9) on comparing the y coordinates the y is 14 units so the left line starting from (-2,-7) should move 14 units top that is y coordinate is y = 7.
Therefore coordinates of the fourth vertex is (-4,7).
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It is recommended that a certain medicine be stored in temperatures above 34°F and below 71°F. Enter a
compound inequality to show the acceptable storage temperatures for this medicine. Use t as your
variable.
Answer:
The inequality is;
34°F < t < 71°F
Step-by-step explanation:
Here, using t as the variable, we want to write an inequality
We want to write an inequality above 34 but below 71
The inequality will be;
34°F < t < 71°F
Jimmy is selling used books at a yard sale. A customer buys 9 books at a cost of $0.75 each and pays with a $20.00 bill. Jimmy must determine c, the amount of change in dollars he should give the customer. Which equation represents c?
20 minus 0.75 c = 9
20 minus 0.75 = 9 c
0.75 (9) + c = 20
0.75 c + 9 = 20
Answer:
c
Step-by-step explanation:
Answer: immy is selling used books at a yard sale. A customer buys 9 books at a cost of $0.75 each and pays with a $20.00 bill. Jimmy must determine c, the amount of change in dollars he should give the customer. Which equation represents c?
20 minus 0.75 c = 9
20 minus 0.75 = 9 c
0.75 (9) + c = 20
0.75 c + 9 = 20
C / 0.75 (9) + c = 20
Step-by-step explanation:
To find your change, first you must determine how much the customer is paying. To find this, you must multiply the cost of one book by the number of books bought.
help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Straight lines.
Since there are more than one lines that can land plane safely, we take one of it,
When, X = 10 and Y = 7, so the equation we get as,
y-7 = m(x-10) + c
lets find slope, that is value of m,
y2-y1/x2-x1 = m
so, 9-7/ 7-10 = 2/-3
so, m= -2/3
so the final Equation is,
=> y-7 =(-2/3)(x-10) +c
what is the slope of (9,5) and (21-,5)
Answer:
\(\frac{y2-y1}{x2-x1} \\\frac{-5-5}{21-9}\\ \frac{-10}{12} \\-\frac{5}{6}\)
Step-by-step explanation:
A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? Explain how you know.
Answer:
0.5
Step-by-step explanation:
We are looking for how much height is gained per cup added.
Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).
Formula for slope =
Let,
Answer:
We are looking for how much height is gained per cup added.
Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).
Step-by-step explanation:
We are looking for how much height is gained per cup added.
Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).
exercise: random variables versus numbers 2 points possible (graded) let be a random variable that takes integer values, with pmf . let be another integer-valued random variable and let be a number. a) is a random variable or a number?
In probability theory, a random variable is a function that assigns a numerical value to each possible outcome of random experiment.The random variable $X$ is a random variable, $Y$ and $c$ are numbers.
In probability theory, a random variable is a function that assigns a numerical value to each possible outcome of a random experiment. In this case, the random variable $X$ is described by a probability mass function (pmf), which specifies the probabilities of $X$ taking on different integer values. This indicates that $X$ is a random variable.
On the other hand, $Y$ is described as another integer-valued random variable, which implies that $Y$ is also a random variable. However, the question does not provide any further information about the pmf of $Y$, so we cannot determine its specific properties or characteristics.
Finally, $c$ is simply a number. It is not described as a random variable, and there is no indication that it follows any probability distribution. Therefore, $c$ is considered a constant or fixed value, rather than a random variable.
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Explain why "If rank(A) < n and the system is consistent, an infinite number of solutions exist."
If the rank of a matrix A is less than the number of columns (n) and the system is consistent, an infinite number of solutions exist because there are more variables than equations. The dependent variables can take on any value.
1. Rank(A): The rank of a matrix A refers to the maximum number of linearly independent rows or columns it possesses.
2. n: In this context, n represents the number of variables in a given system of linear equations.
3. Consistent System: A system of linear equations is consistent if it has at least one solution.
Now, let's put these terms together to explain the statement:
If the rank of a matrix A is less than n (the number of variables), it means that the system of linear equations has fewer linearly independent equations than variables. In such a case, there will be at least one free variable, which can take an infinite number of values.
Since the system is consistent, there is at least one solution, and due to the free variable, each of these infinitely many values will result in a different answer. Consequently, when the rank of a matrix A is less than n and the system is consistent, an infinite number of solutions exist.
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If y = 4x4 - 6x, find the values of Ay and dy in each case. (a) x = 3 and dx = Ax= 2 (b)x= 3 and dx = Ax = 0.008 (a) Ay= dy = (Type an integer or decimal rounded to the nearest thousandth as needed.)
a. When x = 3 and dx = Ax = 2, the value of y (Ay) is 306.
b. When x = 3 and dx = Ax = 0.008, the value of y (Ay) is still 306. the value of dy is 0.008.
To find the values of Ay and dy, we need to substitute the given values of x and dx into the equation for y and calculate the corresponding values.
(a) When x = 3 and dx = Ax = 2:
y = 4x^4 - 6x
Substituting x = 3 into the equation:
y = 4(3)^4 - 6(3)
= 4(81) - 18
= 324 - 18
= 306
Therefore, when x = 3 and dx = Ax = 2, the value of y (Ay) is 306.
Since dx = Ax = 2, the value of dy (the change in y) is also 2.
(b) When x = 3 and dx = Ax = 0.008:
y = 4x^4 - 6x
Substituting x = 3 into the equation:
y = 4(3)^4 - 6(3)
= 4(81) - 18
= 324 - 18
= 306
Therefore, when x = 3 and dx = Ax = 0.008, the value of y (Ay) is still 306.
Since dx = Ax = 0.008, the value of dy (the change in y) is also 0.008.
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Can someone solve this?
Answer:
83 deg
Step-by-step explanation:
sum of angles in triangle = 180
<1=180-(31+66)=180-97=83
Answer:
83 degrees
Step-by-step explanation:
the angles in a triangle add up to 180 degrees
What is “x”?? Plz help me
Point Q’ is the image of Q (0,6) under the translation (x, y) —-> (x + 7 , y - 5).
Answer: Q' (7, 1)
Step-by-step explanation: You go right seven down five.
According to the American Academy of Ophthalmology, 25% of Americans have brown irises. A random survey of students at a local community college found that 58 out of 175 had brown irises. What is the test statistic (ie the Z score) for this sample of students
Answer:
2.49
Step-by-step explanation:
Given X= 58
N = 175.
P = 25% = 0.25.
\(P' = \frac{X}{N} = \frac{58}{175} = 0.3314\\Z = \frac{P'-P}{\sqrt{\frac{pq}{N} } }\)
Now plugging the values we get
\(= \frac{0.3314-0.25}{\sqrt{\frac{0.25\times0.75}{175} } }\)
=2.49
Help me please thanks
5(w. 9)
hope it really helps...!!!
Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor.
Answer: Adelita
Step-by-step explanation:
because if its going in order of the names by jobs then its adelita
3) п — 3 = 12+ 3n - 6 - 5
Answer:
n-3=12+3n-11
n-3=3n+1
-3-1=3n-n
-4=2n
n=-2
factorise 4px-3my-2pm-6xy
Answer:
E
Step-by-step explanation:
NO
If you have $20 would you be able to buy something that costs 20.25
Answer:
Umm, no
Step-by-step explanation:
Answer:
No, that is definitely impossible.
Step-by-step explanation:
The only way you would be able to afford something that costs more than what you have, is by applying a coupon or getting it on sale. If you're online shopping, I recommend using something such as Honey, the extension.
You are given the point (1, π/2) in polar coordinates. (i) Find another pair of polar coordinates for this point such that r > 0 and 2π < θ < 4π. (ii) Find another pair of polar coordinates for this point such that r < 0 and 0 < θ < 2π (b) You are given the point (-2, π/4) in polar coordinates. (i) Find another pair of polar coordinates for this point such that r > 0 and 2π < θ < 4π. (ii) Find another pair of polar coordinates for this point such that r < 0 and-2x < θ < 0. r2 (c) You are given the point (3,2) in polar coordinates. (i) Find another pair of polar coordinates for this point such that r > 0 and 2π < θ < 4T. (ii) Find another pair of polar coordinates for this point such that r < 0 and 0 θ < 2π.
The new pair of polar Coordinates for the given point is (-3, 2π + 2).
(a) Given point (1, π/2) in polar coordinates, we can find another pair of polar coordinates such that r > 0 and 2π < θ < 4π as follows:
Let us add 2π to the given θ to get a new value greater than 2π. So, θ' = π/2 + 2π = 5π/2.
Therefore, the new pair of polar coordinates for the given point is (1, 5π/2).
To find another pair of polar coordinates such that r < 0 and 0 < θ < 2π, we can use the fact that adding or subtracting any multiple of 2π from θ does not change the point represented by the polar coordinates. So, we can subtract 2π from the given θ to get a new value between 0 and 2π. Thus, θ'' = π/2 - 2π = -3π/2.
Therefore, the new pair of polar coordinates for the given point is (-1, -3π/2).
(b) Given point (-2, π/4) in polar coordinates, we can find another pair of polar coordinates such that r > 0 and 2π < θ < 4π as follows:
Let us add 2π to the given θ to get a new value greater than 2π. So, θ' = π/4 + 2π = 9π/4.
Therefore, the new pair of polar coordinates for the given point is (2, 9π/4).
To find another pair of polar coordinates such that r < 0 and -2π < θ < 0, we can subtract π from the given θ to get a new value between -π and 0. Thus, θ'' = π/4 - π = -3π/4.
Therefore, the new pair of polar coordinates for the given point is (-2, -3π/4).
(c) Given point (3,2) in polar coordinates, we can find another pair of polar coordinates such that r > 0 and 2π < θ < 4π as follows:
Let us add 2π to the given θ to get a new value greater than 2π. So, θ' = 2 + 2π = 2π + 2.
Therefore, the new pair of polar coordinates for the given point is (3, 2π + 2).
To find another pair of polar coordinates such that r < 0 and 0 < θ < 2π, we can use the fact that adding or subtracting any multiple of 2π from θ does not change the point represented by the polar coordinates. So, we can add 2π to the given θ to get a new value between 2π and 4π. Thus, θ'' = 2 + 2π = 2π + 2.
Therefore, the new pair of polar coordinates for the given point is (-3, 2π + 2).
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PLEASE HURRY 100 POINTS
Which expression represents the total surface area, in square meters, of the rectangular pyramid below?
A rectangular pyramid. The rectangular base has a length of 27.6 meters and height of 18.4 meters. 2 triangular sides have a base of 27.6 meters and height of 17.6 meters. 2 triangular sides have a base of 18.4 meters and height of 20.4 meters.
(18.4) (27.6) + 2 ((18.4) (20.4)) + 2 ((27.6) (17.6))
(18.4) (27.6) + 2 ((18.4) (22.4)) + 2 ((27.6) (22.4))
(18.4) (27.6) + 2 (one-half (18.4) (20.4)) + 2 (one-half (27.6) (17.6))
(18.4) (27.6) + 2 (one-half (18.4) (22.4)) + 2 (one-half (27.6) (22.4))
The velocity of a roller coaster as it moves down a hill is v=√v²+64h. where v is the initial velocity and h is the vertical drop in feet. the designer wants the coaster to have a velocity of 200 feet per second when it reaches the bottom of the hill. if the initial velocity of the coaster is 30 feet per second, how high should the designer make the hill?
Answer: So required height is 124.22feets.
Step-by-step explanation:
What is the m∠AHE
m
∠
A
H
E
to the nearest whole number?
Answer:
Below
Step-by-step explanation:
As I posted ....looks to be 147°
if the two firms do not cooperate, which of the following represents the payoff north springs and south springs receive in the dominant-strategy equilibrium and the nash equilibrium?
If the two firms do not cooperate, the payoff that North Springs and South Springs receive in the dominant-strategy equilibrium and the Nash equilibrium would depend on the specific game or scenario being played. Without more information about the specific game being played and the strategies of the two firms, it is impossible to provide a definitive answer.
However, in general, the dominant-strategy equilibrium refers to the situation where each player chooses their best strategy, regardless of what the other player does. The Nash equilibrium refers to the situation where each player chooses their best strategy given what the other player is doing. In some cases, the dominant-strategy equilibrium and the Nash equilibrium may be the same, but in other cases, they may differ.
So, in order to determine the payoff that North Springs and South Springs receive in these equilibria, more information about the game being played and the strategies of the two firms would be needed.
Based on the information given, we can analyze the payoff for both North Springs and South Springs firms in the dominant-strategy equilibrium and the Nash equilibrium.
Dominant-Strategy Equilibrium:
1. Identify each firm's dominant strategy (the best response regardless of the other firm's action).
2. Combine the dominant strategies for both firms to find the outcome.
Nash Equilibrium:
1. Identify each firm's best response given the other firm's action.
2. Find the outcome where both firms are simultaneously choosing their best responses.
Without specific numerical payoffs, I cannot provide the exact payoff amounts. However, once you have the payoff matrix, you can follow the steps mentioned above to find the payoffs for North Springs and South Springs in the dominant-strategy equilibrium and the Nash equilibrium.
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Joe reads 30 chapters of a book in 6 hours What is his rate in chapters per hour
Answer:5
Step-by-step explanation:
30 chapters in 6 hours. 30/6 =5
If the confidence levels were 99.5% rather than 99.9% would the margin of error be larger or smaller than the result in part (a) ? Explain. The margin of error would be ( larger or smaller ) , since ( an increase or a decrease ) in the confidence level will ( decrease or increase ) the critical value z a/2.
The margin of error would be larger since a decrease in the confidence level will increase the critical value zα/2.So, as the confidence level decreases, the critical value increases and the margin of error increases as well.
If the confidence levels were 99.5% rather than 99.9%, the margin of error would be larger than the result in part.
What is the value of σ/√n for a given mean?
(a).Explanation:Given,Confidence level = 99.9% Critical value zα/2 = 2.58 Margin of error = 0.02(a)Margin of error = zα/2 * σ/√n Given margin of error is 0.02, substituting the values Margin of error = 2.58 * σ/√nNow, we need to determine the value of σ/√n for a given mean.
When margin of error will be larger?
The margin of error would be larger since a decrease in the confidence level will increase the critical value zα/2.So, as the confidence level decreases, the critical value increases and the margin of error increases as well.
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The margin of error would be smaller, since a decrease in the confidence level will decrease the critical value z a/2.
How to get the margin of error and confidence level?
We know that the confidence level is inversely proportional to the margin of error. This means that a higher confidence level results in a larger margin of error, while a lower confidence level results in a smaller margin of error.
Given that the confidence level changes from 99.9% to 99.5%, we can expect the margin of error to change as well.
To be more specific, we can use the formula for the margin of error:
ME = z * (s / sqrt(n))where ME is the margin of error, z is the critical value, s is the sample standard deviation, and n is the sample size.
Since the sample proportion and sample size are the same as in part (a), the only factor that changes is the critical value z.
For a 99.5% confidence level, the critical value is approximately 2.807, whereas for a 99.9% confidence level, the critical value is approximately 3.291.
Since the critical value is smaller for the 99.5% confidence level, the margin of error will be smaller as well.
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Find the present value of an annuity due that pays $4000 at the beginning of each quarter for the next 7 years. Assume that money is worth 6.2%, compounded quarterly. (Round your answer to the nearest cent.)
The present value of an annuity due is $91704.00
We are to find the PV of the annuity.
Using the formula:
Present value of Annuity = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n, r)
Where , Annuity Amount = $4,000
n = No. of periods = 7 years × 4 quarters per year = 28 periods but since the first payment is at beginning of the quarter, Then, n = 27 when considered for PVAF
r = 6.2% / 4 quarters = 1.55%,
PVAF(n0,r) when first payment is at beginning of n i.e. n0 = 1 + { [1-(1+r)^ -n0 ]/r
= 1 + { [1-(1+0.0155)^ {-27}]/0.0155 }
= 1 + [ (1 - 0.66015 ) ] / 0.0155]
= 1 + 21.926
= 22.926
PVAF(28,1.55%) = 22.926
Thus , Present Value of Annuity = $4,000 × 22.926 = $91704.00
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A dining hall had a total of 25 tables - some long rectangular tables and some round ones. Long tables can seat 8 people. Round tables can seat 6 people. on a Busy evening, all 190 seats at the tables are occupied. How many long tables, x, and how many round tables, y, are there?
Answer:
There are 20 long tables and 5 round tables y.
Step-by-step explanation:
Given:
long tables x + round tables y = total of 25 tables
8seats ·x +6seats ·y = 190 seats
Find x and y:
x+y= 25 so x= 25-y
8x+6y = 190, we substitute x for 25-y to find y
8(25-y) +6y = 190, we distribute 8 in parenthesis
200 -8y+6y = 190, combine like terms
200 -2y = 190, subtract 200 from both sides
-2y = 190-200, combine like terms
-2y = -10, divide both sides by -2
y = 5
x+y = 25, substitute y for 5
x+5 = 25, subtract 5 from both sides
x= 20
Conclusion:
There are 20 long tables and 5 round tables y.
Check :
20·8+5·6 = 160+30 = 190 seats
which of the following random variables meets the criteria for a hypergeometric distribution? multiple choice question. suppose 30% of the population of have a graduate degree. define x to be the number of adults in a sample of 20 who have earned a graduate degree. the average number of adults who have a graduate degree is 0.7/household. let x be the number of adults in a household who have a graduate degree. out of 50 adults, 10 who have a graduate degree. a sample of 20 is taken. define x to be the number of adults in the sample with a graduate degree.
The following random variable meets the criteria for a hypergeometric distribution: Out of 50 adults, 10 who have a graduate degree. A sample of 20 is taken. Define x to be the number of adults in the sample with a graduate degree.
A hypergeometric distribution is a type of probability distribution that measures the likelihood of a particular number of successes (in this case, adults with a graduate degree) in a sample without replacement.
A random variable that meets the criteria for a hypergeometric distribution is that which meets these conditions: A sample of size n is taken from a population of size N. The population has k successes and N - k failures.
The hypergeometric distribution is used when sampling is done without replacement, where the sample size is small relative to the population size. The sample size is typically less than 10% of the population size. When you have the information of the population, you can use the hypergeometric distribution.
Out of the options provided, the random variable that meets the criteria for a hypergeometric distribution is, Out of 50 adults, 10 who have a graduate degree. A sample of 20 is taken. Define x to be the number of adults in the sample with a graduate degree.
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