A triangle has vertices at A(-2,4), B(-2,8), and C(6,4). If A’ has coordinates of (-0.25,0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply
Answers
Answer:
Now we need to find B' and C' by multiplying 0.125 with the x-coordinate and y-coordinate.
-----
x-coordinate of B is -2, y-coordinate of B is 8
x-coordinate of B'
y-coordinate of B'
So
-----
x-coordinate of C is 6 and y-coordinate of C is 4
x-coordinate of C'
y-coordinate of C'
So
Conclusion:
The below are the TRUE statements:
(i) The coordinates of C' are (0.75, 0.5)
(ii) The scale factor is 1/8
(iii) The coordinates of B' are (–0.25, 1).
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Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i got it correct
Related Questions
Rounded to three decimal places, what is the value of r for this data set?
Question 5 options:
-.618
.877
-.877
.618
Answers
Answer:
sorry.....this is hard tell your mom or other mem... of fam..
Step-by-step explanation:
realy sorry
Which is the correct way to write 602,200,000,000,000,000,000,000 in scientific notation? 6022 Times. 1019 6022 Times. 1020 6. 022 Times. 1022 6. 022 Times. 1023.
Answers
Answer:
6020*10's power 21 is correct and suitable way to write it in notation
what is the probability of a type i error for a sample of size 10? (round your answer to four decimal places.)
Answers
The probability of a type i error for a sample of size 10 depends on the significance level (α) chosen for the hypothesis test. Assuming a standard significance level of 0.05, the probability of a type i error for a sample of size 10 can be calculated using a t-distribution table or a statistical software.
A type i error occurs when a null hypothesis is rejected when it is actually true. In hypothesis testing, the significance level (α) is the probability of rejecting the null hypothesis when it is actually true. A common significance level used in statistical analysis is 0.05, which means that there is a 5% chance of rejecting the null hypothesis when it is actually true.
The probability of a type i error for a sample of size 10 can be calculated using a t-distribution table or a statistical software. The calculation involves finding the critical value of t at the chosen significance level and degrees of freedom (df), which is equal to the sample size minus 1 (n-1). For a sample size of 10 and a significance level of 0.05, the critical value of t is approximately 2.306 (from a t-distribution table with 9 degrees of freedom).
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Two firms producing identical products engage in price competition. Cost of firm 1 is $20 per unit produced and cost of firm 2 is $15 per unit produced. There are no fixed costs. Firms produce only after they learn the quantity demanded. Each firm can choose any real number in the interval [15,25] as its price.
For tie-breaking we will assume that if both firms set the same price, all consumers purchase from firm 2.
The payoff/profit function of firm 1 is:
(p1 - 20)(100 - p1) if p1 is less than or equal to p2,
0 if p1 is greater than p2
The payoff/profit function of firm 2 is:
(p2 - 15)(100 - p2) if p2 is less than p1,
0 if p2 is greater than or equal to p1
Given all of this information, solve the following parts of the problem:
a) is p1 = 20, p2 = 19.50 a Nash Equilibrium?
b) is there a Nash Equilibrium in which Firm 2 makes a positive profit?
c) How many strategies does player 1 have?
d) is p1 = 15, p2 = 15 a Nash Equilibrium?
e) is p1 = 21, p2 = 21 a Nash Equilibrium?
Answers
a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.
b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.
c) Player 1 has infinitely many strategies.
d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.
e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.
What is Nash Equilibrium?Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.
Finding Nash Equilibrium
a) Is p1 = 20, p2 = 19.50 a Nash Equilibrium?No. Firm 1 has an incentive to decrease the price to 19.49, thus breaking the tie in its favour. So p1=20, p2=19.5 is not a Nash equilibrium.b) Is there a Nash Equilibrium in which Firm 2 makes a positive profit?Yes. There are several equilibria in which Firm 2 makes a positive profit. One such equilibrium is when both firms charge the same price of 15, at which both firms earn a profit of 375.c) How many strategies does player 1 have?Player 1 has infinitely many strategies to choose from as they can choose any real number in the interval [15,25] as their price.d) Is p1 = 15, p2 = 15 a Nash Equilibrium?Yes. This is a Nash Equilibrium because neither firm has an incentive to change their strategy as they are earning non-zero profits. Both firms earn a profit of 375.e) Is p1 = 21, p2 = 21 Nash Equilibrium?No. If Firm 1 changes its price to 20.99, its profit increases from 405 to 407.99. Therefore, p1=21 and p2=21 is not a Nash Equilibrium.Learn more about Nash equilibrium at
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Classify the expression by the number of terms.
4x²-x³+3x+2
Obinomial
None of these
Otrinomial
O not a polynomial
Answers
Suppose two independent random samples of sizes n1 = 9 and n2 = 7 that have been taken from two normally distributed populations having variances σ21 and σ22 give sample variances of s12 = 100 and s22 = 20.
(a) Test H0: σ21 = σ22 versus Ha: σ21 ≠ σ22 with α = .05. What do you conclude? (Round your answers to F to the nearest whole number and F.025 to 2 decimal places.)
F = F.025 =
(b) Test H0: σ21 < σ22 versus Ha: σ21 > σ22 with α = .05. What do you conclude? (Round your answers to F to the nearest whole number and F.025 to 2 decimal places.)
F = F.05 =
Answers
a) We cοnclude that there is sufficient evidence tο suggest that the variances οf the twο pοpulatiοns are nοt equal.
b) We cοnclude that there is sufficient evidence tο suggest that the variance οf the first pοpulatiοn is greater than the variance οf the secοnd pοpulatiοn.
How to test the hypοtheses?Tο test the hypοtheses regarding the variances οf twο pοpulatiοns, we can use the F-distributiοn.
Given:
Sample size οf the first sample (n₁) = 9
Sample size οf the secοnd sample (n₂) = 7
Sample variance οf the first sample (s₁²) = 100
Sample variance οf the secοnd sample (s₂²) = 20
Significance level (α) = 0.05
(a) Testing H0: σ₁² = σ₂² versus Ha: σ₁² ≠ σ₂²:
Tο perfοrm the test, we calculate the F-statistic using the fοrmula:
F = s₁² / s₂²
where s₁² is the sample variance οf the first sample and s₂² is the sample variance οf the secοnd sample.
Plugging in the given values:
F = 100 / 20 = 5
Next, we determine the critical F-value at a significance level οf α/2 = 0.025. Since n₁ = 9 and n₂ = 7, the degrees οf freedοm are (n₁ - 1) = 8 and (n₂ - 1) = 6, respectively.
Using a table οr statistical sοftware, we find F.025 = 4.03 (rοunded tο twο decimal places).
Cοmparing the calculated F-value with the critical F-value:
F (5) > F.025 (4.03)
Since the calculated F-value is greater than the critical F-value, we reject the null hypοthesis H0: σ₁² = σ₂².
Therefοre, we cοnclude that there is sufficient evidence tο suggest that the variances οf the twο pοpulatiοns are nοt equal.
(b) Testing H0: σ₁² < σ₂² versus Ha: σ₁² > σ₂²:
Tο perfοrm the test, we calculate the F-statistic using the fοrmula as befοre:
F = s₁² / s₂²
Plugging in the given values:
F = 100 / 20 = 5
Next, we determine the critical F-value at a significance level οf α = 0.05. Using the degrees οf freedοm (8 and 6), we find F.05 = 3 (rοunded tο the nearest whοle number).
Cοmparing the calculated F-value with the critical F-value:
F (5) > F.05 (3)
Since the calculated F-value is greater than the critical F-value, we reject the null hypοthesis H0: σ₁² < σ₂².
Therefοre, we cοnclude that there is sufficient evidence tο suggest that the variance οf the first pοpulatiοn is greater than the variance οf the secοnd pοpulatiοn.
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PLZZZ HELP ME
What are two different ways 2/3x = 10 could be solved for x? MORE THAN ONE ANSWER
Subtract 3/2 from both sides of the equation
Divide both sides of the equation by 3/2
Divide both sides of the equation by 2/3
Multiply both sides of the equation by 3/2
Multiply both sides of the equation by 2/3
Subtract 2/3 from both sides of the equation
Answers
Here, we are required to determine what two different ways (2/3)x = 10 could be solved for x.
The correct answers are;
Divide both sides of the equation by 2/3Multiply both sides of the equation by 3/2While solving linear equations of a single variable such as this, to evaluate the value of the variable, (x in this case scenario), there's a need to get rid of the coefficient of the variable (which is (2/3) in this case).
As such, there are two different ways to get rid of the coefficient of the variable in cases like this;
First is to divide both sides of the equation by the coefficient of the variable. Thus;First is to divide both sides of the equation by the coefficient of the variable. Thus;By dividing both sides of the equation by (2/3); we can obtain; First is to divide both sides of the equation by the coefficient of the variable. Thus;By dividing both sides of the equation by (2/3); we can obtain; {(2/3)x/(2/3)} = 10/(2/3)Therefore, x = 30/2 = 15
The second approach is to multiply both sides of the equation by the reciprocal (inverse) of the coefficient. Thus;The second approach is to multiply both sides of the equation by the reciprocal (inverse) of the coefficient. Thus;By multiplying both sides by 3/2, we have;x = 10 × (3/2). = 15.
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A shade of green paint is to be mixed with 3 parts blue and 2 parts yellow. ten gallons of green paint are to be mixed.
how many gallons of yellow paint must be used?
04
02
05
06 and 2/3
Answers
Ten gallons of green will need 4 gallons of yellow
For f(x)= 2x-15 ,find f(x) when x=-4
I just need some help on this question.
Answers
Match each probability word to the probability. *Each will be used once*
Impossible 0
Unlikely 7/8
50/50 chance 1/3
Likely 1
Certain 1/2
Answers
Unlikely-1/3
50/50 Chance-1/2
Likely-7/8
Certain-1
Solve w^2+13w+42=0 by factoring.
Answers
Answer: {-7, -6}
Explanation: When an equation has a squared term in it,
it's called a polynomial equation.
The rule for solving a polynomial equation
is to first set it equal to 0, then factor.
Since this equation is already set equal to 0, we can factor the left side.
The left side is a trinomial that can be
factored as the product of two binomials.
The first term in each binomial will be a factor of the w².
Since w² factors a w · w, we use a w as our first term.
For the last terms, we use factors of 42 that add
to 13 and these factors are +7 and +6.
So we have (w + 7)(w + 6) = 0.
So either w + 7 = 0 or w + 6 = 0.
Solving for w in each equation, we find that our solution set is {-7, -6}.
P1 = (__ + P2)/(1 + R)
Answers
This is the formula for calculating the present value of a future payment, where P1 is the present value, P2 is the future payment, and R is the interest rate.
To use the formula, you need to know the value of P2, the future payment, and the interest rate, R. Then, you can solve for P1, the present value of that payment. The formula works by discounting the future payment to account for the time value of money, which means that money today is worth more than the same amount of money in the future.
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The asymmetric cryptography algorithm most commonly used is:
O GPG
O RSA
O ECC
O AES
Answers
Answer
Step-by-step explanation:
f(x)=5sinx+cosx then f ′
(x)=−5cosx−sinx Select one: True False
Answers
False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.
To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).
Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.
Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:
f'(x) = 5cos(x) - sin(x).
This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).
In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).
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Use technology or a z-distribution table to find the indicated area.
The scores on a standardized exam are normally distributed with a mean of 450 and a standard deviation of 40.
Approximately 35% of the scores are greater than which score?
Answers
Approximately 35% of the scores are greater than 465.4.
How to obtain probabilities using the normal distribution?
The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 450, \sigma = 40\)
35% of the scores are greater than the 100 - 35 = 65th percentile, which is X when Z = 0.385, hence:
0.385 = (X - 450)/40
X - 450 = 0.385 x 40
X = 465.4.
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At her birthday party, Jayla wants to play a game where team members race through an
obstacle course with bean bags on their heads. She bought a box of 100 bean bags in
assorted colors to use in the game. She randomly selected 14 bean bags from the box and
then put them back. Here are the colors she selected:
red, blue, green, blue, yellow, red, green, blue, red, yellow, red, green, blue, red
Based on the data, estimate how many red bean bags are in the box
Answers
Based on the data, we can estimate that there are approximately 43 red bean bags in the box.
How to solve Algebra Word Problems?Let's call "x" the number of red bean bags in the box. Then we can set up a proportion:
(red bean bags in the box) / (total bean bags in the box) = (red bean bags selected) / (total bean bags selected)
Thus:
x/100 = 6/14
Simplifying the right side, we get:
x/100 = 3/7
Multiplying both sides by 100, we get:
x = 300/7
Rounding to the nearest whole number, we get:
x ≈ 43
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in a study to determine whether miles driven is a good predictor of trade-in value, 11 cars of the same age, make, model, and condition were randomly selected. the following scatterplot shows trade-in value and mileage for those cars. five of the points are labeled a, b, c, d, and e, respectively. the figure represents a scatter plot in the coordinate plane with 11 data points, several of which are labeled with the letters a through e. the vertical axis is labeled miles driven, in thousands, and the numbers 50 through 100, in increments of 10, are indicated. the vertical axis is labeled value, and the numbers 4000 dollars through 6500 dollars, in increments of 500, are indicated. the values represented by the data points are as follows. note that all values are approximate. point 1, which is labeled as point a. 51 comma 6200.point 2. 60 comma 5700.point 3. 61 comma 6400.point 4, which is labeled as point b. 62 comma 5700. point 5, which is labeled as point c. 68 comma 5400.point 6. 72 comma 5800.point 7, which is labeled as point d. 83 comma 4700.point 8. 98 comma 4600.point 9. 99 comma 4400.point 10. 92 comma 4200.point 11, which is labeled as point e. 96 comma 6500. which of the five labeled points is the most influential with respect to a regression of trade-in value versus miles driven?
Answers
Step-by-step explanation:
and a line going from the point 0 comma 100 through the point 2 comma 120
Question 6(Multiple Choice Worth 2 points)
(Graphing Linear Equations MC)
Which graph represents the equation y equals one half times x minus 1?
graph of a line passing through the points negative
A baseball player has a 59% chance of hitting a home run every week. For how many weeks will the probability of hitting a home run in every week drop to 5%? Express your answer to the nearest tenth.
The probability of hitting a home run every week drops to 5% after about___
weeks.
Answers
A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters. A dart is randomly thrown at the board. Assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle
Answers
The probability that the dart lands inside the triangle is \(\frac{1}{4}\).
we know that
Probability = \(\frac{Favourable outcomes}{total outcomes}\)
Probability = \(\frac{162}{648} = \frac{1}{4}\)
What is Probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability. Probability theory, which is widely employed in disciplines including statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.To learn more about Probability with the given link
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Answer:
25%.
Step-by-step explanation:
Which statements are true?
Select each correct answer.
All trapezoids are quadrilaterals.
All rhombuses are squares.
All rhombuses are parallelograms.
All quadrilaterals are parallelograms.
Answers
Answer:
all rhombuses are parallelograms, all trapezoids are quadrilaterals
Step-by-step explanation:
rhombuses have all equal sides, 2 sets of parallel lines and are a diamond shape. a quadrilateral is a shape with 4 sides (quad means 4) therefore, all rhombuses are parallelograms. we know that all trapezoids have 4 sides, so we can conclude that all trapezoids are quadrilaterals i hope this helped because i know that end of year tests are super hard.
What would be the notation for the mean of the y values?
A)b
B)(x, y)
C)yi
D)yÌ
Answers
The correct notation for the mean of the y values is D)yÌ. The notation "yÌ" is commonly used to represent the mean or average of a set of y values. It is calculated by adding up all of the y values and dividing by the number of values in the set. For example, if we have the y values 2, 4, 6, and 8, the mean would be (2 + 4 + 6 + 8) / 4 = 5, so yÌ = 5. This notation is often used in statistics and data analysis to represent the central tendency of a set of data.
How many years does it take an account with a principal of $400 and an annual simple interest of 2% to double?
Answers
Which of the following lists of ordered pairs is a function?
Answers
Answer:
B
Step-by-step explanation:
a function is a relation from a set of inputs (X) to a set of possible outputs where each input is related to exactly one output (Y). Only option B satisfies this definition
Name two pairs of opposite rays.
Answers
Answer:
Ray ZV and Ray WV
Step-by-step explanation:
22.
Marissa works at Pizza Place for $9 an hour. This week she also sold her shoes for $80. If she earned a
total of $314 this week, how many hours did she work at Pizza Place?
Answers
$314-$80=$234
And then divide that total by how much she gets each hour
$234/$9=26
So you get the answer of 26 hours she worked at the pizza place
Number of hours Marissa worked at pizza place is 26 hours.
What is simplification?Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Now, it is given that,
Marissa's earning per hour = $9
Money received from selling of shoes = $80
Total money left this week = $314
Hence, Total earning = Total money left this week - Money received from selling of shoes
Total earning = $314 - $80
⇒Total earning = $234
Therefore,
Hours of work = Total earning/earning per hour
⇒Hours of work = $234/$9 hours
⇒Hours of work = 26 hours
Hence,Number of hours Marissa worked at pizza place is 26 hours.
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What is the radius of a circle whose area is 36 π cm squared?
Answers
Answer: 3.39
Step-by-step explanation: maybe
need help so i can finish
Answers
Answer:
Me 2
Step-by-step explanation:
Need it.
Opportunity cost and production possibilities Crystal is a skilled toy maker who is able to produce both cars and drums. She has 8 hours a day to produce toys. The following table shows the daily output resulting from various possible combinations of her time. On the following graph, use the blue points (circle symbol) to plot Crystal's initial production possibilities frontier (PPF). On the following graph, use the blue points (circle symbol) to plot Crystal's initial production possibilities frontier (PpF). Suppose Crystal is currently using combination D, producing one car per day. Her opportunity cost of producing a second car per day is per day. Now, suppose Crystal is currently using combination C, producing two cars per day. Her opportunity cost of producing a third car per day is per day. From the previous analysis, you can determine that as Crystal increases her production of cars, her opportunity cost of producing one mare car Suppose Crystal buys a new tool that enables her to produce twice as many cars per hour as before, but it doesnt affect her ability to produce drums Use the green points (triangle symbol) to plot her new PPF on the previous graph. Because she can now make more cars per hour, Crystal's opportunity cost of producing drums is
Answers
The opportunity cost of producing a second car per day for Crystal, who is currently using combination D and producing one car per day, is one drum per day. The opportunity cost of producing a third car per day for Crystal, who is currently using combination C and producing two cars per day, is two drums per day.
As Crystal increases her production of cars, her opportunity cost of producing one more car increases. This is reflected in the fact that the opportunity cost of producing a second car is one drum, while the opportunity cost of producing a third car is two drums. The increasing opportunity cost indicates that Crystal must give up more and more drums in order to produce additional cars. This is due to the limited resources and time she has available. When Crystal buys a new tool that allows her to produce twice as many cars per hour, her PPF shifts outward, indicating an increase in her production capabilities. With the ability to make more cars per hour, Crystal's opportunity cost of producing drums decreases. This means that she now needs to give up fewer drums to produce additional cars. The decreased opportunity cost is shown by the lower number of drums associated with each additional car on the new PPF. Crystal's improved efficiency in car production allows her to allocate more time and resources towards making cars without sacrificing as many drums.
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You want to paint the four walls in your
bedroom. Each wall is 9
feet tall by 12 feet
wide. What is the total
area
Answers
A $250 suit is marked down by %20. Find the sale price.
Answers
Answer:
20% of 250 = 50 so 250 - 50(the discount) is 200
Step-by-step explanation:
Answer:
$200
Step-by-step explanation:
Discount = 20% of 250 = 0.20 * 250 = $ 50
Sale price = $250 - $ 50 = $ 200