Answer:
P" is then (-3, 2).
Step-by-step explanation:
If the point P(-6, 4) is translated 3 units to the right, the x-coordinate increases by 3 from -6 to -3 and the y-coordinate decreases 2 units from 4 to 2.
P" is then (-3, 2).
Answer:
Answer:
P" is then (-3, 2).
Step-by-step explanation:
Help me with this Math question.
Answer:
D
Step-by-step explanation:
Just graph the equation and where they intercept is the solution.
Just use desmos graphing calculator if you don't know how to graph.
Can someone solve for the question mark?
6x + ? = 10
Laney bought some candy from the bulk food store. She bought a 290 gram bag of gummy worms, a 450 gram bag of sour keys, and 670 gram bag of chocolate covered almonds. What is the total weight in kilograms?
Answer:
1.41 kilograms
Step-by-step explanation:
Given data
290-gram bag of gummy worms
450-gram bag of sour keys
670-gram bag of chocolate-covered almonds
In all, she bought
=290+450+670
=1410grams of candy
Now let us convert from grams to kilograms
1000grams is equal to 1 kilogram
hence 1410 grams will be x
cross multiply
1000x= 1410
x= 1410/1000
x= 1.41 kilograms
An amusement park sold 38 discount tickets and 12 full-price tickets. What percentage of the tickets sold were discount tickets?
Voting in Seaside's annual school board elections has been going down by 10% from one election to the next. If 990 parents voted this year, how many will vote 4 years from now?
If necessary, round your answer to the nearest whole number.
Answer:
FV= 676
Step-by-step explanation:
Giving the following formula:
Present value (PV)= 990 parents
Decrease rate (d)= 10% = 0.1 per year
Number of periods (n)= 4
To calculate the future value of votes, we need to use the following formula:
FV= PV / (1 + d)^n
FV= 990 / (1.1^4)
FV= 676
Identify the volume of a cone with diameter 18 cm and height 15 cm.
a. V = 3817 cm^(3)
b. V = 1272.3 cm^(3)
c. V = 1908.5 cm^(3)
d. V = 1424.1 cm^(3)
The volume of a cone with diameter 18 cm and height 15 cm is b. V = 1272.3 cm^(3).
To calculate the volume of a cone, we use the formula:
V = (1/3) * π * r^2 * h
where V is the volume, π is the mathematical constant approximately equal to 3.14159, r is the radius of the cone's base, and h is the height of the cone.
Given that the diameter of the cone is 18 cm, we can calculate the radius by dividing the diameter by 2:
r = 18 cm / 2 = 9 cm
Substituting the values into the volume formula:
V = (1/3) * π * 9^2 * 15
Calculating:
V ≈ 1272.3 cm^3
Therefore, the volume of the cone is approximately 1272.3 cm^3.
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HELPPPPPPPPPPPPPPPPPPPP
The sales tax on a $500 purse is 7%. What is the total cost of the purse?
Answer:
$535
Step-by-step explanation:
First step is figure out what's 7% of 500, and then you can add the numbers together. To make it simpler, you can multiple 500 by 1.07, which would include the sales tax and the 500 altogether to get the answer.
The city of İzmir is prone to three main types of natural hazards: earthquakes, winds and floods. Each of these can be modelled as a Poisson process. The mean annual occurrence rates for earthquakes and floods are 0.1 and 0.25 damaging events, respectively. The wind is considered as a hazard when the speed exceeds 40m/s. The probability distribution for the annual wind speed is known to be lognormal with a median of 30m/s and a coefficient of variation 0.2. All the three hazardous events occur independently of each other, and each can cause damages with an approximate cost of 2M TL. For proper budgeting, the municipality of İzmir needs to calculate the expected monetary loss from natural hazards, and approximately estimates the loss as a product of the number of hazardous events and the related cost. Based on this data, find out: a) What is the return period of a hazardous wind? b) What is the probability that more than 3 hazardous events in total can happen within a year? c) What is the probability that no hazardous events can happen within 5 years? d) Provide estimates for the mean and standard deviation of expected annual monetary losses so as to have an idea about how much budget the municipality should allocate for natural hazards.
The return period of a hazardous wind can be calculated by finding the inverse of its cumulative distribution function (CDF) at a certain threshold value.
a) To determine the return period of a hazardous wind, we need to find the threshold wind speed that corresponds to a specific return period. Since the wind speed follows a lognormal distribution with a known median and coefficient of variation, we can calculate the corresponding quantile using the inverse of the lognormal CDF.
b) The probability of more than 3 hazardous events in the total happening within a year can be calculated using the Poisson distribution. We sum the probabilities of having 4, 5, 6, and so on hazardous events in a year.
c) The probability of no hazardous events happening within 5 years can also be calculated using the Poisson distribution. We calculate the probability of zero hazardous events in one year and then raise it to the power of 5.
d) To estimate the mean and standard deviation of expected annual monetary losses, we multiply the mean number of hazardous events for each type by the cost per event. Since the three hazardous events occur independently, we can sum the expected losses for each type.
The standard deviation of the expected losses can be calculated using the properties of independent random variables. By calculating the mean and standard deviation of expected annual monetary losses, the municipality can have an idea of the budget allocation required to mitigate the impact of natural hazards in Izmir.
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Find the slope of each line joining each pair of points:
Find the slope of each line joining each pair of points: (4,6) and (1,2)
The slope of the line joining the given pair of points is 4/3.
The slope of the line joining the points (4, 6) and (1, 2) can be found using the formula:
slope = (y2 - y1) / (x2 - x1).
Substituting the coordinates of the two points into the formula:
slope = (2 - 6) / (1 - 4)
Calculating this expression:
slope = -4 / -3
Simplifying the fraction:
slope = 4/3
Therefore, the slope of the line joining the points (4, 6) and (1, 2) is 4/3.
To evaluate the slope of a line joining two points, we use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, we substitute the coordinates (4, 6) and (1, 2) into the formula and calculate the expression.
Simplifying the fraction, we find that the slope of the line is 4/3. This means that for every 3 units of horizontal change (x-axis), the line rises by 4 units (y-axis).
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Check for a significant change over first-time composite scores when a group of 30 high school seniors retake the Miller Analogies Test (MAT) after completing a Test Preparation Workshop; note that each student will have taken the MAT twice, once before and once following the workshop, and the scores are on a ratio scale.
The preparation workshop’s impact on first-time composite scores can be assessed by evaluating the scores of a group of 30 high school seniors who retake the Miller Analogies Test (MAT) after attending the workshop.
The MAT is taken twice by each student: once before the workshop and once after it. The scores are reported on a ratio scale.
To check if there has been a significant change in scores, the following steps can be followed:
Step 1: To determine the change in scores, subtract the scores obtained before the workshop from the scores obtained after the workshop.
Step 2: Calculate the average score change for the group of 30 students by dividing the sum of score changes by 30.
Step 3: Calculate the standard deviation of the score change by using the following formula:
SD = √[∑ (Xi - X)2 / (n - 1)]
where Xi is the individual score change, X is the average score change, and n is the number of students.
Step 4: Use a t-test to determine if the change in scores is statistically significant. If the t-value is greater than the critical value (using a 5% significance level and 29 degrees of freedom), then the change in scores is significant.
Thus, by following these steps, the impact of the preparation workshop on first-time composite scores of the MAT can be assessed.
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The paired t-test is the appropriate statistical analysis to use for this type of data.
The first step to check for a significant change over first-time composite scores when a group of 30 high school seniors retake the Miller Analogies Test (MAT) after completing a Test Preparation Workshop, note that each student will have taken the MAT twice, once before and once following the workshop, and the scores are on a ratio scale is to compute the ratio of the scores before and after the workshop for each student.
Then, calculate the mean and standard deviation of the ratios.
Finally, conduct a paired t-test to determine if the mean ratio is significantly different from 1 at the 0.05 level of significance.
The paired t-test is the appropriate statistical analysis to use for this type of data.
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1. what linear function, y=f(x) has f(0) = 8 and f(7) = 14 ?
A linear function is a mathematical function that can be represented by a straight line when graphed on a Cartesian coordinate system. It is also known as a first-degree polynomial because the highest exponent of the variable is 1. The general form of a linear function is: f(x) = mx + b
To find a linear function given two points on the line, you need to use the point-slope formula.
The formula is `y - y1 = m(x - x1)`, where `(x1, y1)` is a point on the line and `m` is the slope of the line.
Given that f(0) = 8 and f(7) = 14, we can find the slope of the line:$$\frac{f(7) - f(0)}{7 - 0} = \frac{14 - 8}{7} = \frac{6}{7}$$Now, we can use the point-slope formula with the point `(0, 8)` and the slope `6/7`:$$y - 8 = \frac{6}{7}(x - 0)$$
Simplifying this equation, we get:$$y - 8 = \frac{6}{7}x$$$$y = \frac{6}{7}x + 8$$
Therefore, the linear function with `f(0) = 8` and `f(7) = 14` is `y = (6/7)x + 8`.
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A linear function, y = f(x) that has f(0) = 8 and f(7) = 14 is given by: f(x) = mx + b, Where m represents the slope of the line and b represents the y-intercept. The equation of the linear function is: y = f(x) = (6/7)x + 8.
To find the slope of the line, we use the formula:
m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) = (0, 8) and (x₂, y₂) = (7, 14).
Substituting into the formula:
m = (14 - 8) / (7 - 0)
m = 6 / 7
Therefore, the equation of the line is given by: f(x) = (6/7)x + b.
To find the value of b, we use the fact that f(0) = 8.
Substituting into the equation, we get: 8 = (6/7)(0) + b.
Simplifying, we get: b = 8.
Therefore, the equation of the linear function is: y = f(x) = (6/7)x + 8.
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Help meee helppp meee help
what is this answer to these questions no links 30 points
Answer:
do i need to answer them for me or just basically?
1. This is NOT a statistical question since you don't need data or mathematical data, or collection of nothing to come to a conclusion because it's a question for any person in the world and we know it's Donald Trump; we don't need math, collection of data or analysis to know this.
2. This is a statistical question because you need to use math to know this; you need to collect a lot of cupcakes, describe their types and size, you need to analyze and count how many you can eat, and see the results or side effects, you might even have to do this more than one so you can gather all your quantitative to come to a conclusion.
3. This is NOT a statistical question. This is a yes or no question where you can ask anyone in your family if they speak another language, this doesn't require math or gathered data to come to a conclusion; the question would be statistical if it was, "How many people in your family speak another language COMPARED to the other people in your family? This would be an example of a statistical question given this scenario.
Asha owns a car-wash and is trying to decide whether or not to purchase a vending machine so customers
can buy coffee while they wait. She'll get the machine if she's convinced that more than 30% of her
customers would buy coffee. She plans on taking a random sample of n customers and asking them
whether or not they would buy coffee from the machine, and she'll then do a significance test using
a = 0.05 to see if the sample proportion who say "yes" is significantly greater than 30%.
Suppose that in reality, it is actually 33% of her customers that would buy coffee.
Which of the changes below would result in the highest power for her test?
Answer: D
Step-by-step explanation:
She uses a sample size of n=200, and 50% of all customers would actually buy coffee.
The change that would result in the highest power for her test is D. increase the significance level to α = 0.01 and use a sample size of n = 300.
What is significance level?The significance level simply means the probability of rejecting the null hypothesis when it is true.
It should be noted that the power of the test depends on 4 factors which are the sample size, standard deviation, effect size, and significance level.
In the given scenario, the larger sample size will increase the power of the test and a higher significance level will result in a higher power.
Therefore, the test is done with the largest sample size and highest significance level of 0.10
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Charlotte started soccer practice at 5:30 pm. Practice lasted for 1 hour and 45 minutes. What time was practice over?
Answer:
7: 15
Step-by-step explanation:
please help me i need this. will get 100 points
The probability that a plant produces between 15 and 19 strawberries is given as follows:
47.5%.
How to calculate a probability?The two parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.
The desired areas for this problem are given as follows:
Between 15 and 17: 34%.Between 17 and 19%: 13.5%.Hence the probability is given as follows:
34 + 13.5 = 47.5%.
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Simplify: 2(x+3)+5(2x-1)
(no files please)
Kristin boards a Ferris wheel at the 3-o’clock position and rides the Ferris wheel CCW for one full rotation. The Ferris wheel has a radius of 8 meters and the center of the Ferris wheel is 12 meters above the ground. Imagine an angle with its vertex at the center of the Ferris wheel that subtends the path Kristin travels.
Answer the following questions.
a.If Kristin has traveled 4 meters along the path of the Ferris wheel then the angle has swept out _________radians. b.If Kristin has traveled 45 meters along the path of the Ferris wheel then the angle has swept out ___________radians. c. Write a formula that expresses the number of radians θ the angle has swept out in terms of the number of meters d Kristin has traveled since the ride started.
a) If Kristin has traveled 4 meters along the path of the Ferris wheel then the angle has swept out 0.5 radians.
b) If Kristin has traveled 45 meters along the path of the Ferris wheel then the angle has swept out 5.625 radians.
c) The formula that expresses the number of radians θ the angle has swept out in terms of the number of meters is θ = s / r.
a. To determine the angle in radians, we can use the arc length formula for a circle. The formula is given by θ = s / r, where θ is the angle in radians, s is the arc length, and r is the radius of the circle.
In this case, Kristin has traveled 4 meters along the path of the Ferris wheel, and the radius is 8 meters.
Thus, the angle swept out is
θ = 4 / 8 = 0.5 radians.
b. Following the same approach, if Kristin has traveled 45 meters along the path of the Ferris wheel, the angle swept out is
θ = 45 / 8 ≈ 5.625 radians.
c. The formula that expresses the number of radians θ the angle has swept out in terms of the number of meters Kristin has traveled since the ride started is given by
θ = s / r,
where θ is the angle in radians, s is the arc length traveled by Kristin, and r is the radius of the Ferris wheel.
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The (m = 4, n = 7) Hamming code is described by the following matrices: n = (i) Generator matrix 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1101001 (ii) Parity check matrix 0 0 0 1 1 1 1 0110011 1 0 1 0 1 0 1 Assuming that no more than one error occurs during transmission, what was the transmitted codeword vector when (a) (5%) 0100110 is received? (b) (5%) 0001111 is received?
(a) The transmitted codeword vector when 0100110 is received is 0100110.
To determine the transmitted codeword vector, we need to find the syndrome of the received vector and check if it corresponds to any error patterns. If the syndrome is zero, it means no error occurred during transmission.
Let's calculate the syndrome for the received vector 0100110 using the parity check matrix:
Received vector: r = 0 1 0 0 1 1 0
Parity check matrix: H = 0 0 0 1 1 1 1
0 1 0 1 0 1 0
1 0 1 0 1 0 1
To calculate the syndrome, we multiply the received vector by the transpose of the parity check matrix:
Syndrome = r * H^T
= 0 1 0 0 1 1 0 * 0 0 1
0 1 0
1 0 1
1 0 1
0 1 0
1 0 1
0 1 0
= 0 1 0 * 0 1 0
1 0 1
0 1 0
1 0 1
0 1 0
1 0 1
0 1 0
= 0 0 0
The resulting syndrome is 0 0 0, which indicates that no error occurred during transmission. Therefore, the transmitted codeword vector is the same as the received vector: 0100110.
(b) The transmitted codeword vector when 0001111 is received is 1001111.
Following the same process as in part (a), let's calculate the syndrome for the received vector 0001111 using the parity check matrix:
Received vector: r = 0 0 0 1 1 1 1
Parity check matrix: H = 0 0 0 1 1 1 1
0 1 0 1 0 1 0
1 0 1 0 1 0 1
Syndrome = r * H^T
= 0 0 0 1 1 1 1 * 0 0 1
0 1 0
1 0 1
1 0 1
0 1 0
1 0 1
0 1 0
= 0 1 1 * 0 1 0
1 0 1
1 0 1
0 1 0
1 0 1
0 1 0
1 0 1
= 0 1 1
The resulting syndrome is 0 1 1, which indicates an error occurred during transmission. To correct the error, we need to locate the error bit. The syndrome corresponds to the position of the error bit in the received vector.
The error bit is in position 3, so we flip the value of the bit in position 3 in the received vector:
Received vector (after error correction): 1001111
Since we assumed that no more than one error occurred during transmission, we can conclude that the transmitted cod
eword vector is 1001111.
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Suppose that you take a sample of 1400 adults and find that 320
work more than 40 hours per week. What is the margin of error?
The calculated value of the margin of error is 0.022
How to calculate the margin of error?From the question, we have the following parameters that can be used in our computation:
Sample, n = 1400
The proportion is calculated as
p = 320/1400
So, we have
p = 0.2286
Next, we calculate the standard error using
E = √[(p * (1 - p)) / n]
So, we have
E = √[(0.2286 * (1 - 0.2286)) / 1400]
Evaluate
E = 0.0112
The margin of error is then calculated using
Margin of Error = z * E
Using z at 95% CI, we have
M = 1.96 * 0.0112
Evaluate
M = 0.022
Hence, the margin of error is 0.022
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) What is the GCF of 36 and 60?
4
6
12
18
Answer:
12
Step-by-step explanation:
List out the factors of each
36: 1,2,3,4,6,9,12,18,36
60: 1,2,3,4,5,6,10,12,15,20,30,60
the highest number they both have in common is 12
Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches. A. 36 in. B. 48 in. C. 52 in. D. 64 in.
Answer:
A) 36 inches
36 Incheon is the correct answer
Answer:
D.) 64pi in.³
Step-by-step explanation:
I got it right in quiz, trust me.
I hope this helps! ^^
An item is priced at $13.75. If the sales tax is 7%, what does the item cost including sales tax?
Answer:
divide 7/100 which is 0.07
multiply that by 13.75, and you get 0.96
13.75+0.96= $13.20
(this is including sales tax)
Answer:
$12.78
Step-by-step explanation:
I THINK you are supposed to multiply the original price (13.75) by the sales tax as a decimal (0.07) and then subtract that answer from, the original, amount.
Make a bowl of Pho wit 3 ingredients that cost 14.50.
Will choose brainliest
Answer: $8 bowl, noodles, bean sprouts, beef
Step-by-step explanation:
helppp plss i need to find the range,mean,mode and median but I don't know how
if m < c = 147 , determine m < e
a) 147
b) 57
c) 33
d) 180
Answer:
c) 33
Step-by-step explanation:
We can calculate supplementary angles by subtracting the given angle from 180°. To find the other angle (in your case, ∠e), use the ∠y = 180° – ∠x where ∠x is the given angle.
Answer:
c)33
Step-by-step explanation:
find the equation for the angle then find what x equals
Answer:
x = 18
Step-by-step explanation:
∠ GFH and ∠ EFH form a right angle GFE , then
2x + 3x = 90 ← equation for the angle
5x = 90 ( divide both sides by 5 )
x = 18
A researcher wants to test the claim that the average lifespan for florescent lights is 1600 hours. A random sample of 100 fluorescent lights has a mean lifespan of 1580 hours, and a standard deviation of 100 hours. Is there evidence to support the claim at 5% level of significance?
Yes, there is evidence at a 5% level of significance to support the claim that the average lifespan for fluorescent lights is not 1600 hours.
How do we calculate?Null hypothesis: is defined as the average lifespan for fluorescent lights is 1600 hours.
Alternative hypothesis : is defined as average lifespan for fluorescent lights is not 1600 hours.
Sample size (n) = 100
Sample mean = 1580 hours
Sample standard deviation (s) = 100 hour
t = (Sample mean - μ) / (s / √n)
μ = hypothesized population mean
s= sample standard deviation
t = (1580 - 1600) / (100 / √100)
t = -20 / (100 / 10)
t = -20 / 10
t = -2
The significance level of 0.05 will be divided by 2 to get an alpha level of 0.025.
We make use of a t-distribution table to look up the critical t-value in the with degrees of freedom equal to n-1 = 99.
The critical t-value is 1.984 for a significance level of 0.025 and degrees of freedom = 99.
In conclusion, we have evidence to reject the null hypothesis because the absolute value of the test statistic is greater than the critical t-value.
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Internet Viewing A researcher wishes to estimate the average number of minutes per day a person spends on the Internet. How large a sample must she select if she wishes to be 90% confident that the population mean is within 13 minutes of the sample mean? Assume the population standard deviation is 46 minutes. Round your final answer up to the next whole number. The researcher needs a sample of at least people. Work Time Lost due to Accidents At a large company, the Director of Research found that the average work time lost by employees due to accidents was 98 hours per year. She used a random sample of 18 employees. The standard deviation of the sample was 5.2 hours. Estimate the population mean for the number of hours lost due to accidents for the company, using a 99% confidence interval. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to the nearest whole number. Doctoral Student Salaries Full-time Ph.D. students receive an average of $12,837 per year. If the average salaries are normally distributed with a standard deviation of $1500, find the probabilities. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places. Part: 0/2 Part 1 of 2 (a) The student makes more than $17,000. P(X>17,000)-
Using the z-distribution, as we have the population standard deviation, it is found that a sample of 83 people must be taken.
Given,
Estimation of number of minutes per day a person spends on the internet .
Margin of error in Z distribution,
M = z σ/[tex]\sqrt{n}[/tex]
In which:
z is the critical value.
σ is the population standard deviation.
n is the sample size.
Here,
We have 90% confidence level ,
Thus ,
[tex]\alpha[/tex] = 0.9
z is the value of Z that has a p-value
(1+0.9) / 2
= 0.95
so the critical value is z = 2.575
Also we have
standard deviation = 46 minutes
Population mean = 13 minutes
To find minimum sample size solve for n
M = z σ/[tex]\sqrt{n}[/tex]
13 = 2.575 (46/[tex]\sqrt{n}[/tex])
n = 83 .30
Rounding up, a sample of 83 people must be taken.
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