Answer:
A and B are both correct, but answer A has one more opposite angle and is the best choice
Step-by-step explanation:
a pair of non-adjacent angles formed by the intersection of TWO lines.
It is clearly not D 7&10 are adjacent
It is not C 1&5 are formed by THREE lines
The only difference between answer A and B is the extra angle 7&8 in answer A. IF angles 5&10 and 6&9 are good angles then it looks like to me that angle 7&8 is a good angle
3. Write the first 5 terms in the arithmetic sequence
that is represented by the function f(x) = -4x+15.
A. -4, 11, 26, 41, 56
B. -4, -19, -34, -49,-64
C. 15, 19, 23, 27, 31
D. 15, 11, 7, 3, -1
Answer:
D
Step-by-step explanation:
The first term is when x = 0, so 15.
Then you decrease by 4 every time to get 15,11,7,3,-1
Aaron is playing a game in which he earns points for a correct answer and loses the same number of points for an incorrect answer. Aaron has zero points. The next question is worth 300 points. Aaron says "It doesn't matter whether I get the answer right or wrong, the absolute value of my score will be 300." Do you agree? Why or why not?
Answer:
You should agree.
Step-by-step explanation:
The absolute value if by definition "the magnitude of a real number without regard to its sign" this means if he earns 300 points on the next question. Yes Aaron's absolute value of points would be 300.
A number is chosen at random from set A and another number is chosen from Set B above. what is the probability the number is negative Set a: 1, -2, 3, -4 Set B: 0, 7, -6, 5, 11
The prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.
There are 2 negative numbers in Set A οut οf a tοtal οf 4 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set A is 2/4 = 1/2.
There is 1 negative number in Set B οut οf a tοtal οf 5 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set B is 1/5.
Tο find the prοbability οf chοοsing a negative number frοm bοth sets, we need tο multiply the individual prοbabilities:
P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)
P(negative frοm Set A and negative frοm Set B) = (1/2) * (1/5) = 1/10
Therefοre, the prοbability οf chοοsing a negative number frοm bοth sets is 1/10 οr 0.1.
Cοunt the number οf negative numbers in Set A. There are 2 negative numbers.
Cοunt the number οf negative numbers in Set B. There is 1 negative number.
Find the tοtal number οf numbers in Set A. There are 4 numbers.
Find the tοtal number οf numbers in Set B. There are 5 numbers.
Use the fοrmula:
P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)
Plug in the values:
P(negative frοm Set A and negative frοm Set B) = (2/4) * (1/5)
P(negative frοm Set A and negative frοm Set B) = 1/10
Therefοre, the prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.
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5. Solve for x.
6. Solve for
(9x - 16)
I
(3.1 + 11)
(7x - 5)
ments
X =
7 Find m
Answer:
12*56-56+11=12
Step-by-step explanation:
12 for 56
Desiree and Nick, the boy she was babysitting, were playing basketball together. Her score was 20 points, and his score was 10 points. Desiree wanted to make the game more fair, so she called a time-out and modified the rules a bit. Desiree explained that for the rest of the game she would get 3 points per basket, and Nick would get 4 points per basket. Then they played a bit longer. After a time-out, they both made the same number of baskets and ended with a tied score. How many baskets did each person make after the time-out?
After the time out each person scored 15 baskets.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Desiree's score was 20 points, and his score was 10 points. Desiree wanted to make the game fairer, so she called a time-out and modified the rules a bit. Desiree explained that for the rest of the game, she would get 3 points per basket, and Nick would get 4 points per basket.
The two equations can be written as:-
3D + 20 = 4N + 10
3D - 4N = -10
D + N = 30
Solve the above equations:-
3D - 4N = -10
4D + 4N = 120
____________
7D = 110
D = 15
Hence, the score for each person would be 15.
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help please!!!!!!! very confused!
Answer:
#2
63 questions correctly
Step-by-step explanation:
I hope this helps
15 questions 8 incorrect
15/8= 1.875
135/1.875= 72 incorrectly
135 questions- 72incorrectly= 63correct questions
I will give braillents The price of bananas can be found using the equation: P = $0.59n, where P is the price and n is the number of pounds of bananas. What is the constant of proportionality?
Group of answer choices
$0.50
$0.59
$1.18
$1.00
Answer: $0.59
Step-by-step explanation: constant of proportionality is the number by the variable
Find the lines of symmetry for each shape. Select all that apply.
Answer:
It is T and R
Step-by-step explanation:
Solve the equation for y. please hurry!
y−5x=3
Answer:
y = 3 + 5x
Step-by-step explanation:
y - 5x = 3 ( isolate y by adding 5x to both sides )
y = 3 + 5x
You just got an order of 8 apples and you need to break them up accordingly:
25% of the apples should be baked into a pie
25% of the apples should be baked into a tart
37.5% of the apples will be used for juice
you may eat the remaining apples. of?
Answer:
⟟ got 12.5 remaining
Step-by-step explanation:
Just add all the percentages then subtract from 100
Solve for X in the attached picture.
Answer:
x=20
Step-by-step explanation:
aro now if a I am rite but a try mai best
A researcher is interested in estimating the proportion of voters who favor a tax on e-commerce. Based on a sample of 250 people, she obtains the following 99% confidence interval for the population proportion, p: 0.113 < p <0.171. Which of the statements below is a valid interpretation of this confidence interval? A) If many different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, in the long run 99% of the confidence intervals would contain the true value of p. B) If many different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, 99% of the time the true value of p would lie between 0.113 and C) There is a 99% chance that the true value of p lies between 0.113 and 0.171. D) If 100 different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, exactly 99 of these confidence intervals would contain the true value of p.
Answer:
The correct answer is: A. If many different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, in the long run 99% of the confidence intervals would contain the true value of p.
Step-by-step explanation:
A confidence interval is a range of values that is likely to contain the true value of a population parameter. In this case, the population parameter is the proportion of voters who favor a tax on e-commerce. The confidence interval is constructed from a sample of voters, and it is based on the assumption that the sample is representative of the population.
The 99% confidence interval means that if we were to take many different samples of size 250 and construct a confidence interval for each sample, 99% of the confidence intervals would contain the true value of the population proportion. This does not mean that there is a 99% chance that the true value of the population proportion lies between 0.113 and 0.171. It means that if we were to take many different samples of size 250 and construct a confidence interval for each sample, 99% of the confidence intervals would contain the true value of the population proportion.
The other answer choices are incorrect because they do not correctly interpret the meaning of a confidence interval.
Given a sample with r = -0.541, n = 20, and α = 0.01, determine the standardized test statistic t necessary to test the claim rho = 0. Round answers to three decimal places.
The standardized test statistic t is approximately -0.429 rounded to three decimal places
To determine the standardized test statistic t for testing the claim ρ = 0, use the formula:
t = r × √((n - 2) / (1 - r²))
Given:
r = -0.541 (correlation coefficient)
n = 20 (sample size)
α = 0.01 (significance level)
Let's plug in the values and calculate t:
t = (-0.541) × √((20 - 2) / (1 - (-0.541)²))
Calculating the expression inside the square root:
(20 - 2) / (1 - (-0.541)²) = 0.629
Now substituting this value into the formula:
t =(-0.541) × √(0.629) = -0.541 ×0.793 = -0.429
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Woof Chow Dog Food Company believes that it has a market share of 25 percent. It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food, and 23 people say yes. Based upon this information, what is the critical value if the hypothesis is to be tested at the 0.05 level of significance?
The critical value for the 0.05 level of significance is k = 21.
To find the critical value, we can use the binomial distribution. The binomial distribution models the number of successes in n independent Bernoulli trials, each with probability p of success. In this case, the number of successes is the number of dog owners who say Woof Chow is their regular brand, and the number of trials is n = 100. The null hypothesis is that the true market share of Woof Chow is 25%, and the alternative hypothesis is that it is not 25%.
We can use the binomial cumulative distribution function (CDF) to find the critical value. The CDF gives the probability of getting k or fewer successes in n trials, given a probability of success p. The critical value is the smallest value of k such that the CDF at k is greater than or equal to 1 - alpha, where alpha is the level of significance. In this case, alpha = 0.05.
So, we want to find the smallest k such that:
P(X <= k) >= 1 - 0.05
where X is a random variable representing the number of dog owners who say Woof Chow is their regular brand. We can use a binomial calculator or a software package to calculate the binomial CDF, or we can use a table of critical values for the binomial distribution.
The critical value for the 0.05 level of significance is k = 21. This means that if the true market share of Woof Chow is 25%, then the probability of getting 23 or more dog owners who say Woof Chow is their regular brand is less than 0.05. Since the observed number of dog owners who say Woof Chow is their regular brand is 23, which is greater than 21, we can reject the null hypothesis that the true market share is 25%.
This means that based on the survey results, we cannot conclude that Woof Chow has a market share of 25%. The survey results suggest that Woof Chow may have a market share that is greater than 25%.
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There are 1250 sacks of sugar of 84 kg each and they were packed in small bags of 15 kg, which were sold for $ 273 per bag. How much was the amount of the sale?
Answer:
$1528.8
Step-by-step explanation:
Can someone help me thank you
Answer:
Step-by-step explanation:
What you would do is
Example: 14 x 2/7
14. X. 2
1 X. 7
14 x 2 and 1 x 7
then simplify
A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy.
515x + 285y = 11,080
x + y = 30
515x + 285y = 30
x + y = 11,080
515x + y = 30
x + 285y = 11,080
x + 285y = 30
515x + y = 11,080
Answer:
515x + 285y = 11,080
x + y = 30
Step-by-step explanation:
x= Amount of laptops
y= Amount of tablets
Answer:
Your answer would be A
Step-by-step explanation:
515x + 285y = 11,080
x + y = 30
I forgot how to do this
Answer:
it should be -1,1
Step-by-step explanation:
the administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. the following relative frequency table shows the data. positive negative total has the flu 54% 6% 60% does not have the flu 8% 32% 40% total 62% 38% 100% based on the data, what is the ratio of false positives to true positives? 6 over 32 8 over 6 8 over 54
The ratio of false positives to true positives is 8 over 54.
According to the Question
Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.
We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.
We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.
As a result, the ratio becomes 8% / 54%, or 8/54.
It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.
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whats the scale dilation
Answer:
1/2
Step-by-step explanation:
Given a figure showing dilation of LMNO to give L'M'NO', you want to know the scale factor.
Scale factorThe scale factor of a dilation is the ratio of dilated lengths to original lengths. We can choose any of the lengths in the figure to find the dilation scale factor.
scale factor = M'N/MN = 3/6
scale factor = 1/2
1. {26, 69, 30, 27, 19, 54, 27}
Mean:
, Median:
, Mode:
, Range:
Answer:
Mean:36
Median:27
Mode:27
Range:50
Step-by-step explanation:
Mean: 19+26+27+27+30+53+69/7=36
Median: The middle number in the sequence when arranged in ascending order which is 27
Mode: The number that appeared more than others which is 27
Range: This is the difference between the largest number and the lowest number in the sequence which is 50.
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Fill in the blank
The equation *blank* describes the relationship
(simplify your answer)
Answer:
y = 1.5x
Step-by-step explanation:
in the graph you can see that when y=2, x= 3 and this graph is linares (im sorry if its not the right word). so this means for every 3gal of white paint youll need 2 gal of red paint. so 2y=3x: y = 3/2x
You are planning to purchase a used car. You have $5,500 to spend and you plan to drive the car for at least five years. The graph below shows the estimated long term cost of buying and owning two different cars. You are considering the gas, insurance, and maintenance costs of both cars.
The yellow car will cost $2,000 initially and cost about $2,000 a year to maintain. The blue car will cost $5,000 and then cost about $1,000 a year to maintain.
Given that you plan to keep your car for at least five years, which statement below is TRUE?
I should buy the blue car because by the time five years have passed, I will have saved almost $2,000.
The graph shows that the costs of the two cars will be approximately equal in 4 years.
I should buy the yellow car because I will never make up the extra $3,000 I paid for the blue car.
The graph shows that the yellow car will be worth more when I sell it.
With regard to the cost of both cars, the option that is True is "I should buy the blue car because by the time five years have passed, I will have saved almost $2,000." (Option A)
How is this so?From the graph,
Step 1: Note that by the 5th year the cost spent on maintenance for the blue car is $9000
Step 2: while that of the yellow car is $11,000.
Step 3: This means that the owner would have saved $2000 since he or she does not wish to keep both cars beyond 5 years period.
Note that this is called cost analysis.
A cost-benefit analysis, also known as a benefit-cost analysis, is a method for analyzing the strengths and weaknesses of options.
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Is x greater than less than or equal to 79 degrees?
Answer:
Step-by-step explanation:
it depends on the number X is.A school principal wants to know what theme students prefer for the spring dance. There are 150 students in the 6th grade, 200 students in the 7th grade, and 187 students in the 8th grade. Select all the representative samples that can help the principal draw conclusions about which themes the students prefer.
The students in the 7th grade homerooms,
The same number of students from each grade whose names are randomly selected from a hat
The members of the student council
Students who attended the winter dance
50 sixth graders, 67 seventh graders, and 62 eighth graders
Answer:
The same number of students from each grade whose names are randomly selected from a hat
What is the Hardy-Weinberg equation and what does each part mean?
The Hardy-Weinberg equation is a mathematical formula used to calculate the frequency of alleles (alternative forms of genes) in a population.
It states that the frequency of alleles and genotypes in a population will remain constant from generation to generation in the absence of other evolutionary influences.
The equation is expressed as: p² + 2pq + q² = 1
In this equation, p represents the frequency of the dominant allele in the population, and q represents the frequency of the recessive allele.
The superscripts 2 represent the proportion of individuals in the population that are homozygous for that allele (meaning they have two copies of the same allele), while the 2pq term represents the proportion of individuals that are heterozygous (meaning they have one copy of each allele).
The sum of these terms is always equal to 1, as it represents the entire population.
This equation assumes several conditions: that the population is large, randomly mating, with no mutations, migration, natural selection, or genetic drift.
In reality, these conditions are rarely met, and the Hardy-Weinberg equation serves as a useful model for understanding how allele frequencies can change over time due to various evolutionary influences.
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50 cents per minute to dollars per hour
Unit conversion is a way of converting some common units into another without changing their real value. 50 cents per minute to dollars per hour is 3 dollars per hour.
What is Unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
The 50 cents per minute can be converted to dollars per hour as,
50 cents per minute
= 50 cents / 1 minute
Since 1 dollar has 100 cents and 1 hour has 60 minutes, therefore,
= (50/100)dollar / (1/60) hour
= (50×60)/100 dollars per hour
= 3,000/100 dollars per hour
= 3 dollars per hour
Hence, 50 cents per minute to dollars per hour is 3 dollars per hour.
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Determine whether the statement is true or false. If the statement is false, explain why. The midpoint of the segment joining (0,0) and (38,38) is 19.
The midpoint has coordinates (19,19) as per the midpoint formula.
The statement is false.
The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).
To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:
(x1 + x2) / 2
= (0 + 38) / 2
= 38 / 2
= 19
Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.
To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:
(y1 + y2) / 2
= (0 + 38) / 2
= 38 / 2
= 19
The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.
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Meghan sells handmade sweaters and hats at her store. Let A represent the event that a randomly selected customer buys hat, and let B
represent the event that a randomly selected customer buys a sweater.
What does the notation P(AJB) represent in terms of the context?
A the probability that a customer buys a hat or a sweater
B the probability that a customer buys both a hat and a sweater
C the probability that a customer buys a hat given that the customer has bought a sweater
D the probability that a customer buys a sweater given that the customer has bought hat
Answer:
Step-by-step explanation:
C the probability that a customer buys a hat given that the customer has bought a sweater.
On a coordinate plane, triangle A B C has points (negative 2, 7), (negative 2, 3), and (negative 6, 3) and triangle D E F has points (negative 2, negative 10), (negative 2, negative 2), and (6, negative 2).
Given that StartFraction A B Over D E EndFraction = StartFraction B C Over E F EndFraction = one-half, complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.
Horizontal and vertical lines are
congruent
.
So, angles
are right angles by definition of perpendicular lines.
All right angles are
.
Therefore, △ABC ~ △DEF by the SAS similarity theorem.