Answer: y = 6.75x + 6
Step-by-step explanation:
Answer:
y=6.75x+6
Step-by-step explanation:
y=mx+b
we can find it by doing \(\frac{y^{2}-y^{1} }{x^{2} -x^{1} }\)
I'm going to choose 2,19.5 and 5,39.75
\(\frac{39.75-19.5}{5-2}\) we get \(\frac{20.25}{3}\) simplified to 6.75
now we know that the slope is 6.75 we can find the y-intercept by plugging in one pair, I'm going to put the 2,19.5 in
19.5=(6.75)2+b then multiply 6.75 by 2
19.5=13.5+b then subtract 13.5 from both sides to remove the 13.5 on B to separate it
6=b so the y-intercept is 6
n =24 2n+10 ???.?.?.?.?.?.?.?.?
Answer:
n = - 10/47
Step-by-step explanation:
n= 24 * 2n +10
n= 48n + 10
n - 48n = 48n +10 - 48
-48n = 10
n= - 10/47
Answer:
2n + 10 = 58
Step-by-step explanation:
2n + 10 =
Substitute 24 for n
2(24) + 10
multiply 24 by 2
48 + 10
add them up
58
The final answer is 58
I hope it helps! Have a great day!
part 1: let x and y be two independent random variables with iden- tical geometric distributions. find the convolution of their marginal distributions. what are you really looking for here?1
The task is to find the convolution of the marginal distributions of two independent random variables x and y with identical geometric distributions.
To find the convolution of the marginal distributions of x and y, we need to calculate the probability distribution function of the sum of x and y. Since x and y have identical geometric distributions, we know that the probability of x=k and y=m is given by p(x=k, y=m) = (1-p)^k * p * (1-p)^m * p = p^2 * (1-p)^(k+m), where p is the probability of success in each trial of the geometric distribution.
To find the probability distribution function of the sum Z=x+y, we need to compute the probability of each possible value of Z. That is, P(Z=k) = Σ P(X=i, Y=k-i) for all i from 0 to k. Plugging in the probability distribution function of x and y, we get P(Z=k) = Σ p^2 * (1-p)^(i+k-i) = p^2 * (1-p)^k * Σ 1. The summation is over all i from 0 to k, and is equal to k+1. Therefore, we have P(Z=k) = (k+1) * p^2 * (1-p)^k. This is the probability distribution function of the sum of two independent random variables x and y with identical geometric distributions, and is the convolution of the marginal distributions of x and y.
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Quadrilateral ABCD is plotted on the grid below.121110987AB654321DС-12 -11 -10 9 8 76 5-4 3 2123-1 0-156789 10 11 12-2-56-78-9-10-11-12Part AOn the graph, draw the image of quadrilateral ABCD after a counterclockwise rotation of 180° about theorigin. Label the image A'B'C'D'.Part BOn the lines below, explain how the coordinates of A changed to the coordinates of A'.
The coordinates of the quadrilateral
A(5,6)
B(10,6)
C(8,1)
D(3,1)
Part A.
The rule for a rotation counterclockwise of 180°
\((x,y)\rightarrow(-x,-y)\)A'=(-5,-6)
B'=(-10,-6)
C'=(-8,-1)
D'=(-3,-1)
Then we will draw the quadrilateral
the original is the red
and the rotate is the blue
Part B
the coordinate change as the given rule seen previously for rotation of 180° counterclockwise
\((x,y)\rightarrow(-x,-y)\)50 POINTS! PLEASE HELP! Which graph represents the solution set of the system of inequalities?
{y≤2x+1 y>−2x−3
Step-by-step explanation:
the second one as the -2x-3 is only on the second one
The area of a blackboard is 1 1 third square yards. A poster's area is 8 over 9 square yards. What is the unit rate of the blackboard's area to the poster's area?
Step-by-step explanation:
Given that,
The area of a blackboard is \(1\dfrac{1}{3}=\dfrac{4}{3}\ \text{yards}^2\)
The area of poster is \(\dfrac{8}{9}\ \text{yards}^2\)
We need to find the unit rate of the blackboard's area to the poster's area. So, it can be calcualted by dividing blackboard's area to the poster's area.
So,
\(\dfrac{\dfrac{4}{3}}{\dfrac{8}{9}}=\dfrac{4}{3}\times \dfrac{9}{8}\\\\=1.5\)
So, the rate of \(1.5\ \text{yard}^2\).
p = q/4 -r solve for q
Answer:
4(p+r) = q
Step-by-step explanation:
p = q/4 -r
Add r to each side
p+r = q/4 -r+r
p+r = q/4
Multiply each side by 4
4(p+r) = q/4*4
4(p+r) = q
Jane bought 3 shirts and returned 2 pairs of pants. Her friend Laura bought 4 shirts and 3 pairs of pants. Jane’s bill was $5 and Laura’s bill was $120. Write a systems of equations to determine the cost of a shirt, s, and the cost of a pair of pants, p.
The system of equations to determine the cost of a shirt and the cost of a pair of pants is 3s - 2p = $5 and 4s + 3p = $120
Define System of Equation
A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given,
Jane bought 3 shirts and returned 2 pairs of pants
Laura bought 4 shirt and 3 pairs of pants.
Let, s = cost of shirt
and, p = cost of a pair of pants
The equation for Jane is
3s - 2p = $5
Here, -ve sign because Jane returned 2 pairs of pants and then bill was $5.
Now, the equation for Laura is
4s + 3p = $120
Here, +ve sign because Laura bought 4 shirt and 3 pairs of pants and then bill was $120.
So, the system of equation we get
3s - 2p = $5
4s + 3p = $120
After solving simultaneously we get the values s = 15 and p = 20.
Now, if you want to cross check then put the values of s and p in equations and it should be equal to RHS value like this,
for 1st equation,
3 * 15 - 2 * 20 ⇒ 45 - 40 = 5 (which is correct)
for 2nd equation,
4 * 15 + 3 * 20 ⇒ 60 + 60 = 120 (which is correct)
Hence, The system of equations to determine the cost of a shirt and the cost of a pair of pants is 3s - 2p = $5 and 4s + 3p = $120.
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pls help this was due last week!!!
Answer:
Triangle A is correct since 87° + 23° + 70° = 180°.
You would like to determine if there is a higher incidence of smoking among women than among men in a neighborhood. Let women and men be represented by populations 1 and 2, respectively. The relevant hypotheses are constructed as ____________.H0: Mue1-Mue2 less than or equal 0.Ha: Mue1-Mue2>0H0: Mue1-Mue greater or equal 0.Ha: Mue1-Mue<0H0: P1-P2 less than or equal 0Ha: P1-P2>0H0: P1-P2 greater than or 0Ha: P1-P2<0
The relevant hypothesis are organized as follows
H₀: p₁ - p₂ < 0. (Null hypothesis )
Hₐ: p₁ - p₂ > 0. (alternative hypothesis)
Given that,
You want to know if smoking is more common among women in a community than it is among men. Let populations 1 and 2 represent women and males, respectively.
We have to find the pertinent theories are organized as follows________.
We know that,
P₁ and P₂ in the neighborhood's population diagrams show the neighborhood's proportions of men and women, respectively.
The following is a definition of the gut feeling:
H₀: The ratio of smokers among men and women is the same, or p₁ - p₂ < 0.
Hₐ: The ratio of smokers between men and women is greater than zero (p₁ - p₂ > 0).
Therefore, the relevant hypothesis are organized as follows
H₀: p₁ - p₂ < 0. (Null hypothesis )
Hₐ: p₁ - p₂ > 0. (alternative hypothesis)
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The NC General Assembly increases minimum wage to $8.00/ hour.What is the impact of the demand for clothes?
The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.
We have,
Increasing the minimum wage to $8.00 per hour can have some impact on the demand for clothes.
Here are a few potential effects to consider:
Increased purchasing power:
When the minimum wage is increased, low-wage workers have more disposable income. This extra income can lead to increased consumer spending, including on clothing.
As a result, there could be a boost in the demand for clothes as more people can afford to purchase new clothing items.
A shift in consumer preferences:
With a higher minimum wage, individuals who previously had limited resources may now have the ability to choose higher-quality clothing or purchase from more expensive brands.
This shift in consumer preferences could lead to changes in the demand for different types of clothes and potentially result in an increase in demand for higher-end or premium clothing.
Price sensitivity:
While an increase in the minimum wage may provide workers with more spending power, some individuals may still be price-sensitive and prefer more affordable clothing options.
As a result, there may be continued demand for lower-priced clothing items or a preference for sales and discounts.
Employment and production costs:
An increase in the minimum wage could potentially lead to higher labor costs for clothing manufacturers and retailers.
To mitigate these increased costs, businesses may take steps such as adjusting their pricing strategies, implementing cost-saving measures, or exploring more efficient production methods.
These factors could impact the overall supply of clothes and potentially influence prices.
Thus,
The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.
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Find the area of the region bounded by the graphs of y=|x| and y = -|x| + 4?
Please explain step-by-step and sketch(if possible).
The answer is 8 square units.
The area of the region bounded by the graphs of y=|x| and y = -|x| + 4 is 8 square units.
What is coordinate geometry?A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
The given absolute functions y=|x| and y = -|x| + 4 are plotted on the graph and the region is a square with a side of √8.
The area of the square will be calculated as,
Area = Side²
Area = ( √8 )²
Area = 8 square units
Therefore, the area of the region bounded by the graphs of y=|x| and y = -|x| + 4 is 8 square units.
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4.678
written to one decimal point would be
Answer:
hello
4.678 = 4 678 / 1000
Step-by-step explanation:
Solve the inequality for x. Show each step of the solution.
12(x+3)>4x-8
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
12x+36>4x−8
Step 2: Subtract 4x from both sides.
12x+36−4x>4x−8−4x
8x+36>−8
Step 3: Subtract 36 from both sides.
8x+36−36>−8−36
8x>−44
Step 4: Divide both sides by 8.
8x/8 > -44/8
Therefore your answer will now equal \(x > \frac{-11}{2}\)
\({ \boxed{ \pink{ \sf{x > - \frac{11}{2}}}}}\)
Step-by-step explanation:
The given inequality is, \({ \green{ \sf{12(x + 3) > 4x - 8}}}\)
\({ \star}\)Step 1: Simplify both the sides of inequality.
\({ \green{ \sf{12x + 36 > 4x - 8}}}\)
\({ \star}\)Step 2: Now Subtract 4x from both sides.
\({ \purple{ \sf{12x+36−4x> { \cancel{4x}−8{ \cancel{−4x}}}}}}\)
\({ \purple{ \sf{8x+36>−8}}}\)
\({ \star}\)Step 3: Subtract 36 from both sides.
\({ \blue{ \sf{8x+{ \cancel{36}{ \cancel{−36}}}>−8−36}}}\)
\({ \blue{ \sf{8x>−44}}}\)
\({ \star}\)Step 4: Divide both sides by 8.
\({ \orange{ \sf{ \frac{ \cancel8}{ \cancel8} x > - \frac{ \cancel{44^{ \blue{ \tt{11}}}} }{ \cancel8_{ \blue{ \tt{2}}} }}}} \)
\({ \boxed{ \red{ \sf{x > - \frac{11}{2}}}}} \)
The length of the base of an isosceles triangle is x. The length of a leg is 3x + 2. The perimeter of the triangle is 39. Is there enough information to solve for x? if so, find x.
The length of the base of an isosceles triangle is 7
as given in the question,
the length of base be x
the length of the leg is 3x+2
the perimeter of the isosceles triangle is 39
Therefore, an isosceles triangle which has two equal sides or legs as well as two equal angles. The Greek words iso means same and skelos are the source of the name leg. An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
If the length of
In an isosceles triangle,
The length of the two legs or sides is the same. The other leg is therefore 3x+2 if one leg is the other is also 3x+2.
The triangle's three sides add up to its perimeter
that is
=> x + (3x+2) + (3x+2) = 39
=> 7x + 4 = 39
=> 7x = 35
=> x = 5
the value of x is 7
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The length of the base of an isosceles triangle is x = 7
Yes, there is enough information to solve for x. The perimeter of an isosceles triangle is the sum of all its sides. Since the perimeter is given and two sides are known, it can be expressed as follows:
x + (3x +2) + (3x +2) = 39
Solving for x,
5x + 4 = 39
5x = 35
x = 7
Therefore, the length of the base is 7. This can be verified by substituting the value of x into the equation for the perimeter, which would yield a result of 39.
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Select the correct answer. Which is the correct solution to the expression 3 + 5^2? You can use a calculator to find the answer. A. 10 B. 13 C. 28 D. 64
Answer:28
Step-by-step explanation:
5x5=25
25+3=28
Answer:
C. 28
Step-by-step explanation:
3 + 5^2
3 + 25 = 28
What is the slope-intercept form of the linear equation 2x + 3y = 6?
Drag and drop the appropriate number, symbol, or variable to each box.
1. х
2. y
3. 6
4. 3
5. -1
6. 2
7. 3
8. 6
9. +
10. 1
11. 2.
12. 3
13. 4
14. 5
I need the 6 that go in the boxes
Answer:
slope is -2/3
Step-by-step explanation:
\(3y = - 2x + 6 \\ y = \frac{ - 2}{3} x + 2\)
Xavier makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of his conjecture?.
The correct option A: Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.
Explain the term even integer?Odd numbers cannot be divided by two exactly, whereas even numbers were integers that can be divided by two exactly. Even number examples include 2, 6, 10, 20, 50, etc.The statement made by Xavier that the product of two odd integers always results in an even integer should be noticed.
For the given case, conjecture that the sum of two odd integers is always an even integer is -
Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.To know more about the even integer, here
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The complete question is-
Xavier makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of his conjecture?
Select option;
A: Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.
B: Look at these different examples: 3 + 5 = 8, 13 + 5 = 18, 23 + 5 = 28. So the sum of two odd numbers must be even.
C: Let a and b both represent odd numbers, and let a + b be an even number. Therefore, a + b = b + a, which shows that the sum of two odd numbers is even.
D: Every time you add two odd numbers, the sum is an even number.
Find the value of x.
6 inches is the radius of the given cone.
To find the radius of a cone given its height and volume, we can use the formula for the volume of a cone:
Volume = (1/3) * pi * r² * h
where:
Volume is the given volume of the cone (216 π)r is the radius of the cone (unknown)h is the height of the cone (18 in)Plugging in the values, we have:
216π = (1/3) * π* r² * 18
Simplifying the equation:
216 = (1/3) * r² * 18
Multiplying both sides by 3 to eliminate the fraction:
648 = r² * 18
Dividing both sides by 18:
36 = r²
Taking the square root of both sides:
r = 6
Therefore, the radius of the cone is 6 inches.
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The art club had an election to select a president. 25% of the 80 members of the club voted in the election. How many members voted?
Answer:
20, the answer is 20 members
Answer:
3) On a test of 25 questions, a student 4) Alisa earned $30 raking leaves. She ... 80% horror. 6Sn-sdo 1800 ... How many tickets were a) What percent of her weight did sold? ... b) Atlantic Auditorium has 850 seats. b) At the next visit, we were happy to see ... members of the art club voted in the more students joined. election.
Step-by-step explanation:
Y is 4 less than the product of 3 x
Answer:
y=4-3x
Step-by-step explanation:
Hope this helps!!!
Can y’all help me with this math problem please! I don’t understand
KL = 23
so you just have to add both of the segment lengths together.
each individual equation is already given in the image, so I'll substitute it out below:
JK + KL = JL
4x+2 +4x+3 = 45
8x + 5 = 45
8x = 40
x = 5
BUT WE'RE NOT DONE. plug in 40 for the variable X:
KL = 4(5) + 3
KL = 20 + 3
KL = 23
now i'll check my answer really quickly:
23 + 4(5) + 2 = JL
23 + 20 + 2 = JL
23 + 22 =
45
therefore, KL is 23
Vijay Dairy is selling flavoured milk and buttermilk in packets of 150 ml. The dairy sells 2000 packets of flavoured milk and 1000 packets of buttermilk everyday. The former is priced at Rs.6 and the latter at Rs.4. A market survey estimates the cross price elasticity ( both ways) to be +1.8, and the own price elasticity of flavoured milk to be The dairy is contemplating a 10% reduction in the price of flavoured milk. Should it go ahead with the price reduction?
The dairy should go ahead with the 10% reduction in the price of flavoured milk.
The cross price elasticity between flavoured milk and buttermilk is estimated to be +1.8. Cross price elasticity measures the responsiveness of the quantity demanded of one product to a change in the price of another product. A positive cross price elasticity suggests that the two products are substitutes, meaning that an increase in the price of one product will lead to an increase in the demand for the other product, and vice versa. In this case, a 10% reduction in the price of flavoured milk would likely lead to an increase in the demand for buttermilk.
By reducing the price of flavoured milk, the dairy can attract more customers who may choose to buy flavoured milk instead of buttermilk due to the lower price. This would result in an increase in the quantity demanded of flavoured milk, compensating for the reduced price per packet. Additionally, the increased demand for buttermilk due to the substitution effect would further contribute to the overall revenue of the dairy.
Note: The own price elasticity of flavoured milk is not provided in the given information, so we cannot directly assess the impact of the price reduction on the quantity demanded of flavoured milk. However, based on the positive cross price elasticity and the assumption of substitutability between the two products, it is reasonable to conclude that a price reduction would be beneficial.
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Please help me solve
Answer:
I could but can you please put down the problem.
Step-by-step explanation:
The length of a rectangle is 18 cm and its breadth is 11 cm. Find area of the rectangle.
Step-by-step explanation:
Area = length×breath
=18×11
=198cm²
Answer:
198 square cm
a card is drawn from a standard deck and replaced. after the deck is shuffled, another card is pulled. what is the probability that the first card drawn is a heart and the second card is a spade? (enter your probability as a fraction.)
If a card is drawn from a standard deck and replaced. after the deck is shuffled, another card is pulled. Then the probability that the first card drawn is a heart and the second card is a spade is 1/16.
The probability of drawing a heart on the first card is 1/4 since there are 13 hearts out of a total of 52 cards in a standard deck.
After replacing the card and shuffling the deck, the probability of drawing a spade on the second card is also 1/4 since there are 13 spades out of a total of 52 cards in the deck (assuming the deck is well-shuffled).
To find the probability of both events happening (drawing a heart and then a spade), we multiply the individual probabilities together:
Probability = (1/4) * (1/4) = 1/16
Therefore, the probability that the first card drawn is a heart and the second card is a spade is 1/16.
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EN LA FRUTERIA "LA CANASTA" SE ANUNCIA EL KG DE NARANJAS A $13.50, ¿Cuánto PAGARA DON JOSE POR COMPRAR 2.6KG? Y SI A DOÑA PAULA LE COBRARON $31.50 ¿Cuántos KG COMPRÓ? KILOS DE NARANJA COSTO POR KG 1 $13.50 2.6 kg ? ? $ 31.50
Answer:
hola soy dora
Step-by-step explanation:
soy stan kim namjoon
Cherise and Tyler have a collection of comic books totaling 70 books. Cherise has 45 and Tyler has c comic books, Which Equation models this situation?
what is the slope of a line passing through the points (-7,-2) and (5,-6)
Answer:
-4/12
Step-by-step explanation:
This is true because what you do is y2-y1 over x2-x1 and you get uyour answer easily
In which number is the value of the red digit ten times as great as the value of the green digit envision math
Let's consider a two-digit number where the value of the red digit is ten times greater than the value of the green digit. We can represent this number as "10r + g," where r represents the value of the red digit and g represents the value of the green digit.
To find the specific number that satisfies this condition, we need to find a pair of digits that meets the given criteria. Since the value of the red digit is ten times greater than the green digit, we have the equation r = 10g By substituting this equation into our representation of the number, we get the number as 10(10g) + g, which simplifies to 100g + g. Therefore, the number can be written as 101g. From this, we can conclude that any two-digit number where the red digit is ten times greater than the green digit can be represented as 101g, where g can be any digit from 0 to 9.
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if the original quantity is 12 and the new quantity is 15, what is the percentage increase? The percent increase is___
Answer:
25%
Step-by-step explanation:
increase = 15-12 = 3
percentage increase = 3/12 × 100 = 25%