Answer:
88
Step-by-step explanation:
The difference of twice a number and five is three. For the scenario above, which situation best describes the steps necessary to solve for the unknown number?
Answer:
4
Step-by-step explanation:
2x - 5 = 3
2x = 8
x = 4
4
Answer:
k
Step-by-step explanation:
Find the x-value for point C such that AC and BC from a 2:3 ratio.
Given:
Point C divides AB such that AC:BC=2:3.
To find:
The x-value for point C.
Solution:
Section formula: If a point divide a line segment in m:n, then
\(Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)\)
Form the given graph it is clear that the endpoints of the line segment AB are A(-3,5) and B(3,0).
Point C divides AB such that AC:BC=2:3. Using section formula, the coordinates of point C are
\(C=\left(\dfrac{2(3)+3(-3)}{2+3},\dfrac{2(0)+3(5)}{2+3}\right)\)
\(C=\left(\dfrac{6-9}{5},\dfrac{0+15}{5}\right)\)
\(C=\left(\dfrac{-3}{5},\dfrac{15}{5}\right)\)
\(C=\left(-0.6,3\right)\)
The x-value of C is -0.6.
Therefore, the correct option is B.
Which source of bias is most relevant to the following situation: Both members of a couple are asked to indicate if they have remained monogamous in their currently relationship a self-interest study b voluntary response blas c nonrespolse bias or missing data d perceived lack of anonymity e loaded or leading question
The source of bias that is most relevant to the situation described above is the perceived lack of anonymity.
When individuals are asked personal questions about their behaviors or beliefs, they may feel uncomfortable sharing truthful information due to concerns about being judged or having their privacy violated. This can lead to respondents providing socially desirable responses or withholding information altogether, which can bias the results of the study.
In the situation described, both members of a couple are being asked about their sexual behavior, which can be a sensitive topic. If they do not feel that their responses will be kept confidential or if they fear that their partner may judge them based on their answers, they may not provide accurate information. This can lead to biased results, as the researchers may not have a complete understanding of the participants' behavior.
To minimize the impact of perceived lack of anonymity, researchers can ensure that participants are informed about the confidentiality of their responses and that their answers will not be shared with anyone else. They can also use anonymous surveys or other methods to protect the privacy of participants.
Therefore,the source of bias that is most relevant to the situation described above is the perceived lack of anonymity.
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TW is a midsegment of ASUV.
If UV = 62, what is TW?
S
W
TW =
T
Answer:
TW = 31
Step-by-step explanation:
the midsegment TW is half the length of the side UV , that is
TW = \(\frac{1}{2}\) × 62 = 31
You are required to: a.Rewrite the formulation above in the standard form by adding the required variables to replace the inequalities. b.Find a solution for the above formulation utilizing the linear programming simplex method.
Using the simplex method, the optimal solution for the given linear programming problem is x = 2, y = 2, z = 0, with the maximum objective value of P = 10.
a. To rewrite the formulation in standard form, we need to replace the inequalities with equality constraints and introduce non-negative variables. Let's assume x, y, and z as the non-negative variables:
Maximize P = 3x + 2y + 4z
Subject to:2x + y + z + s1 = 8
x + 2y + 3z + s2 = 10
x, y, z ≥ 0
b. Utilizing the linear programming simplex method, we can solve the above formulation. After setting up the initial tableau, we perform iterations by selecting a pivot element and applying the simplex algorithm until an optimal solution is reached. The algorithm involves row operations to pivot the tableau until all coefficients in the objective row are non-negative. This ensures the optimality condition is satisfied, and the maximum value of P is obtained.
To provide a brief solution within 120 words, we determine the optimal solution by applying the simplex method to the above formulation. After performing the necessary iterations, we find that the maximum value of P occurs when x = 2, y = 2, z = 0, with P = 10. Therefore, the maximum value of P is 10, and the solution for the given problem is x = 2, y = 2, and z = 0.
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Solving multi step equations
Like term- negative coefficients
-9 + x -3x = 5
The required solution of the given equation is x = -7.
What does multi step equations Like term- negative coefficient means?"Multi-step equation" means an equation that requires more than one step to be solved.
"Like terms" refers to terms that have the same variables raised to the same powers. In this equation, there are no like terms, so no simplification of the equation is needed in that regard.
"Negative coefficients" refers to the fact that some of the coefficients in front of the variables in the equation are negative. For example, in this equation, the coefficient of x is -3, and the coefficient of -9 is also negative.
According to question:To solve this equation, you can simplify both sides by combining like terms:
-9 + x -3x = 5
-9 - 3x + x = 5
-9 - 2x = 5
Next, isolate the variable on one side of the equation by adding 9 to both sides:
-9 - 2x + 9 = 5 + 9
-2x = 14
Finally, divide both sides by -2 to find x:
(-2x) / -2 = 14 / -2
x = -7
So the solution is x = -7.
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What does x equal? Dpsewbskdye
Answer:
x = 7
Step-by-step explanation:
27 = 7x + 6 - 4x (Given)
27 = 3x + 6 (Simplify)
27 - 6 = 3x + 6 - 6 (Subtract 6 on both sides)
21 = 3x (Simplify)
21/3 = 3x/3 (Divide 3 on both sides)
7 = x (Simplify)
Simplify the expression. fraction with negative 4 times the quantity 2 minus the cube root of 8 times 6 end quantity as the numerator and 5 as A.the denominator ten fourths. B.negative ten fourths C.8 D.−8
The expression fraction with negative 4 times the quantity 2 minus the cube root of 8 times 6 end quantity as the numerator and 5 is simplified to give 8
How to simplify the fraction expressionThe fraction: negative 4 times the quantity 2 minus the cube root of 8 times 6 end quantity as the numerator and 5 is written in words
Rewriting the fraction
-4( (2 - ∛8 * 6) / 5)
The equation is simplified as
= -4( (2 - ∛8 * 6) / 5)
= -4( (2 - 2 * 6) / 5)
= -4( (2 - 12) / 5)
= -4( (-10) / 5)
= -4( -2)
= 8
Option C, 8 is the correct answer
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if each flash is .1 lumens and we want 40 lumens at least 70% of the time, how many fireflies do we need?
4373 are many fireflies do we need linear equation.
What is an explanation of a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.If each flash is 0.1 lumens, 40*10 flashes OR 400 flashes equal 40 lumens
P(X>400) = 0.7 (given information)
P(X < 400) = 0.3
P(Z < z0) = 0.3 when z0 = -1.88 (from the z-table)
z0 = -1.88 = (400 - E(X))/V(X)
= -1.88V = 400 - E
= -1.88 √(n*0.1*0.9) = 400 - n*0.1
= -1.88*0.3√n = 400 - 0.1n
= 0.1n - 0.564√n - 400 = 0
n = 4373
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There are x candies in a box. 8 of the candies are caramel-flavored and rest of them are strawberry-flavored. If the probability of randomly selecting a strawberry-flavored candy from the box is 1/3, find the total number of candies in the box.
What must be added to 70 so it will divide exactly into five groups of 16
Answer:
10
Step-by-step explanation:
\(x+70=16(5)\\\\x+70=80\\\\x=10\)
Therefore, the number is 10
A gardener has 400 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. garden bordered by a river What dimensions would guarantee that the garden has the greatest possible area
The gardener should create a square-shaped garden with sides measuring 100 feet each to guarantee the greatest possible area.
To guarantee the greatest possible area for the rectangular garden with one side bordered by a river, the gardener should use the available 400 feet of fencing to enclose the remaining three sides of the garden in a square shape.
This means that two opposite sides of the square will each measure 400/4 = 100 feet, while the other two sides will measure the same, forming a square garden.
By creating a square garden, the gardener maximizes the area because a square is a rectangle with equal sides, and for a given perimeter, a square has the largest possible area among all rectangles. In this case, the river acts as one side of the rectangle, and the square shape ensures that the remaining two sides are equal, optimizing the enclosed area.
To summarize, the gardener should create a square-shaped garden with sides measuring 100 feet each to guarantee the greatest possible area.
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What is the multiplicative inverse of 1 45 47 ?
1 45/47 would be 47/46.
Answer:
The answer is 1 45/47 would be 47/46.
Step-by-step explanation:
What is the surface area of the regular pyramid given below?
A. 280 units2
B. 329 units2
C. 189 units2
D. 140 units2
The surface area of the regular pyramid in the diagram is 189 units². The correct option is C. 189 units²
Area of a PyramidFrom the question, we are to calculate the surface area of the regular pyramid
The surface area of the pyramid = Sum of area of the triangular faces + Area of the square base
∴ Surface area of the pyramid = \(4(\frac{1}{2}bh)+ b^{2}\)
Surface area of the pyramid = 2bh + b²
Where b is the base
and h is the perpendicular height of each triangular faces
In the given diagram,
b = 7
h = 10
∴ Surface area of the pyramid = 2×7×10 + 7²
Surface area of the pyramid = 140 + 49
Surface area of the pyramid = 189 units²
Hence, the surface area of the regular pyramid in the diagram is 189 units². The correct option is C. 189 units²
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Answer:
C
Step-by-step explanation:
Work out 2x squared when x = 5
\(\huge\text{Hey there!}\)
\(\mathsf{2x^2}\\\\\mathsf{= 2(5)^2}\\\\\mathsf{= 2(5\times5)}\\\\\mathsf{= 2(25)}\\\\\mathsf{= 50}\\\\\\\huge\text{Thus, your answer is: \boxed{\mathsf{50}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Someone please help out
Answer:
Option D
Step-by-step explanation:
Alternate Interior angles are angles that are on the opposite sides of the transversal line (which is the line that cuts across the two parallel lines) and are on the inside of the two parallel lines which in this case is Option D.
certain standardized math exams have a mena of 120 and a standarad deviation of 20. of the students who take this exam. what percent could you expect to score betwen 60 amd 120
After finding the z score, total 49.865% you could expect to score between 60 and 120.
Math exams mean(μ) = 120
Math exams standard deviation(σ) = 20
We have to determine the percent you could expect to score between 60 and 120.
The area total included to the left of any score or value is indicated in the Z-score table (x). The top row and the first column of the Z-table represent the Z-values, while all of the numbers in the middle represent the areas.
P(60 < x < 120) = P((60 - 120)/20 < (x - μ)/σ < (120 - 120)/20)
Simplifying
P(60 < x < 120) = P((-60)/20 < (x - μ)/σ < 0/20)
P(60 < x < 120) = P(-3 < Z < 0)
We can write this as
P(60 < x < 120) = P(Z > -3) - P(Z < 0)
P(60 < x < 120) = 0.99865 - 0.5
P(60 < x < 120) = 0.49865
P(60 < x < 120) = 49.865%
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Mr. Robertson would like to buy a new 750 to 1000 CC racing motorcycle. Costs of such motorcycles are known to be normally distributed, with a mean of $13422 and a standard deviation of $2544. If he is to purchase one motorcycle: a. What is the probability that it will cost more than $15550? (3 points) b. What is the probability that is will cost more than $ 12250? (3 points) c. What is the probability that it will cost between $ 12250 and $ 17000? (3 points) d. What costs separate the middle 85% of all motorcycles from the rest of the motorcycles? (3 points) e. What cost separates the top 11 % of all motorcycles from the rest of the motorcycles? (3 points)
(a) The probability that the motorcycle will cost more than $15550 is 0.2003.
(b) Therefore, the probability that the motorcycle will cost more than $12250 is 0.6772.
(c) The probability that the motorcycle will cost between $12250 and $17000 is 0.598.
a. Probability of the motorcycle costing more than
15550z = (15550 - 13422) / 2544z
= 0.8367P(Z > 0.8367)
= 0.2003
Therefore, the probability that the motorcycle will cost more than $15550 is 0.2003.
b. Probability of the motorcycle costing more than
12250z = (12250 - 13422) / 2544z
= -0.4613P(Z > -0.4613)
= 0.6772
Therefore, the probability that the motorcycle will cost more than $12250 is 0.6772.
c. Probability of the motorcycle costing between 12250 and
17000z = (12250 - 13422) / 2544z
= -0.4613z
= (17000 - 13422) / 2544z
= 1.4013P(-0.4613 < Z < 1.4013)
= P(Z < 1.4013) - P(Z < -0.4613)
= 0.9192 - 0.3212
= 0.598
Therefore, the probability that the motorcycle will cost between $12250 and $17000 is 0.598.
(a) The probability that the motorcycle will cost more than $15550 is 0.2003.
(b) Therefore, the probability that the motorcycle will cost more than $12250 is 0.6772.
(c) The probability that the motorcycle will cost between $12250 and $17000 is 0.598.
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please help
Quinn wants to buy a television to put on the wall in his living room. He is putting it over a table that is 40 inches long, but because of a shelf on the wall, it cannot be higher than 23 inches. Quinn knows that when he purchases a TV, there is only one measurement that is used, which is the diagonal measurement rounded to the nearest inch across the visible screen. What is the largest TV he can buy to fit in his space?
40 inches
44 inches
46 inches
48 inches
Answer:
44 because if he goes more longer it will not fit
Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
The actual product is unreasonable. It should be near 80 but less than 80 because both factors were rounded down.
The actual product is reasonable because the estimate and actual answers both have two places to the left of the decimal.
The actual product is unreasonable because the estimate has zero places to the right of the decimal and the actual product has one decimal place to the right of the decimal.
Answer:
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
6. list all irreducible polynomials mod 3, of degree 2. hint: multiply and cross off, rather than testing each one.
The irreducible polynomials modulo 3 of degree 2 are x^2 + x + 2$ and $x^2 + 2x + 2.
In this question, we are required to list all irreducible polynomials modulo 3 of degree 2.
The set of all polynomials mod 3 of degree 2 is as follows: 0, 1, 2, x, x + 1, x + 2, 2x, 2x + 1, 2x + 2, x^2, x^2 + 1, x^2 + 2, x^2 + x, x^2 + x + 1, x^2 + x + 2, x^2 + 2x, x^2 + 2x + 1, x^2 + 2x + 2
Let's start by finding the product of all polynomials mod 3 of degree 1.
(x - 0)(x - 1)(x - 2) = x^3 - 3x^2 + 2x
Now, we will find all the possible products of polynomials of degree 1 and degree 2.
(x + 0)(x^2 + ax + b) = bx^2 + (a)x^3 + b (x + 1)(x^2 + ax + b) = x^2(a + 1) + x(1 + a + b) + b (x + 2)(x^2 + ax + b) = bx^2 + (a + 2)x^3 + (2a + b)x + 2b
The first polynomial, x^3 - 3x^2 + 2x, already contains $x^2$, so we will only take into consideration the coefficients of $x$ and the constant term.
Now, we will cross off all the polynomials which have coefficients that are multiples of 3 as they are reducible.
x^2 + 1, x^2 + 2, x^2 + x + 1, x^2 + x + 2
Therefore, the irreducible polynomials modulo 3 of degree 2 are $x^2 + x + 2$ and $x^2 + 2x + 2$.
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I need some help with this I'd really appreciate if I could get some help with it.
Answer: Roughly 104.94 (because we need to use pi, and pi must round because it never ends). I really hope this helps!
Step-by-step explanation:
First, we know that to solve a circle's area, we do a(Area)=pi times radius squared. So, if the diameter of the circle is 14, then the radius is 7 (half of the diameter). That becomes pi (roughly 3.14) times 7 squared, which gives ur roughly 153.94 (because pi is never ending, so we have to round.)
If we know that the circle's area is about 153/94, and we know that the triangle's height is 7(because from the center point to the top point on the triangle, if exactly half of the full circle (diameter/2=radius, and radius is 7). Then, we would do 14 times 7(height times length) and that gives us 98, and divide by 2 which gives us 49.
Subtracting 49 from the circle's area (153.94) gives us an answer of roughly 104.94.
The Square Root of a whole number is Always, Sometimes or Never a rational
number? *
Always
Sometimes
Never
The answer is Sometimes
4. Ryan bicycled 100 miles from his home. The table shows his distance, in miles, from home at different times.
What was Ryan's average speed?
A. 5 miles/hour
B. 20 miles/hour
C. 10 miles/hour
D. 25 miles/hour
Ryan's Distance From Home
Time (hours) Distance
(miles)
1.5 30
2 40
2.5 50
3 60
Answer:
20 miles/hour
Step-by-step explanation:
To find the average speed you can divide the Distance by time.
30 ÷ 1.5 = 20
40 ÷ 2 = 20
50 ÷ 2.5 = 20
60 ÷ 3 = 20
What are the asymptote and the Y intercept of the function shown in the graph f(x)=3(0.2)^x+2
the asymptote is y = 2 and the y - intercept is (0,5)
What is asymptote function?An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique. That is, as approaches from either the positive or negative side, the function approaches positive or negative infinity.
According to the question
The function reaches the y-axis at the point (0,5).
The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.
The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.
Hence, the asymptote is y = 2 and the y - intercept is (0,5)
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A line passes through the point (10,-9) and has a slope of -5/2. Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
y + 9 = -5/2(x - 10)
y + 9 = -5/2x + 25
y = -5/2x + 16
14 + -7 -3=????????????????????help
Answer:
-10
Step-by-step explanation:
hope its correct and helped:)
PLEASE HELP SOMEONE IT GEOMETRY plz
Answer:
im sorry i cant help i hope you find ur answer tho
Step-by-step explanation:
The relationship between the number of pounds (lb) of almonds and the price in dollars is shown in the graph. What is the unit price of almonds?
Answer:
B
Step-by-step explanation:
Slope is change of y over change of x
Y is going up by 8 and x is going over by 1
Therefore, $8/1 lb
need help putting these least to greatest , 0.81 , 0.9, 0.73, 0.7
Answer:
0.7 0.73 0.81 0.9
Step-by-step explanation:
hope this helps