Answer:
Not sure about question 2 but question 3 is 3/5
Step-by-step explanation:
It's absolute value, so it must come out as a positive.
Answer:
2. 11
3. 3/5
Step-by-step explanation:
number three i'm not 100% sure but ik number 2
Only two moving companies provide local delivery service in a small western city. United and North American. United operates 20 percent of the trucks, North American the remaining 80 percent. On a dark and rainy night, a pedestrian is run over and killed by a moving van. The lone witness to the incident testifies that the van was owned by United. An independent laboratory hired by the court finds that under dark and rainy conditions, the witness is able to identify the owner of the moving van with 85 percent accuracy. What is the probability that the van that struck the pedestrian was owned by United? Instructions: Enter your response rounded to the nearest whole number. For example, if the probability is 23.8 percent, enter 24. Probability that the van was owned by United:
Step 1: Calculate the prior probability, Step 2: Calculate the accuracy of the witness, Step 3: Calculate the probability of the witness identifying United incorrectly, Step 4: Apply Bayes' theorem, P(Van is owned by United | Witness Identifies United) ≈ 0.5862
The probability that the van that struck the pedestrian was owned by United is 59 percent. To determine the probability that the van involved in the accident was owned by United, we can use Bayes' theorem. Bayes' theorem allows us to update our initial probability based on new evidence.
Let's break down the problem into steps:
Step 1: Calculate the prior probability
Since United operates 20 percent of the trucks and North American operates the remaining 80 percent, the prior probability of the van being owned by United is 20 percent or 0.20.
Step 2: Calculate the accuracy of the witness
The witness is able to identify the owner of the moving van with 85 percent accuracy under dark and rainy conditions. This means that when the van is owned by United, the witness correctly identifies it as such with a probability of 85 percent. We can represent this as the conditional probability P(Witness Identifies United | Van is owned by United) = 0.85.
Step 3: Calculate the probability of the witness identifying United incorrectly
Since the witness has an 85 percent accuracy rate, it means there is a 15 percent chance that the witness will incorrectly identify the owner of the van, even if it is owned by United. We can represent this as the conditional probability P(Witness Identifies Not United | Van is owned by United) = 0.15.
Step 4: Apply Bayes' theorem
Bayes' theorem allows us to update the prior probability based on the witness's testimony.
P(Van is owned by United | Witness Identifies United) =
(P(Witness Identifies United | Van is owned by United) * P(Van is owned by United)) /
[(P(Witness Identifies United | Van is owned by United) * P(Van is owned by United)) + (P(Witness Identifies Not United | Van is owned by United) * P(Van is owned by Not United))]
Substituting the known values, we get:
P(Van is owned by United | Witness Identifies United) =
(0.85 * 0.20) / [(0.85 * 0.20) + (0.15 * 0.80)]
Simplifying the expression:
P(Van is owned by United | Witness Identifies United) = 0.17 / (0.17 + 0.12) = 0.17 / 0.29
Calculating the final probability:
P(Van is owned by United | Witness Identifies United) ≈ 0.5862
Rounded to the nearest whole number, the probability that the van that struck the pedestrian was owned by United is 59 percent.
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Simplify
1) x7/11
2)x1/24
3)x31/24
4)x5/12
Answer:
1 x=2 2 x=8 3 x=15 4 x=7.5
Step-by-step explanation:
mark brainliest
Select the correct product.
(x2 + 4x+8)(2x - 1)
0x2+6 x+7
O 2x2 -782-12 X-8
O2 x° +7 x2 + 12 x -8
0x2+8 -8
the distance between the park is 1.7 meters how many meters is this?
Answer:
1.7 meters?
Step-by-step explanation:
Round 27.977 to the nearest hundredth.
Answer
Answer:
27.98
Step-by-step explanation:
the second seven 27.9(7)7 is the hundreth place, so sense 7 is above five we round up to and eight, then get rid of the number after it
A cyclist rides her bike at a rate of 21 kilometers per hour. What is this rate in kilometers per minute? How many kilometers will the cyclist travel in 20 mins. Don’t round your answers
Answer:
0.35 km per minute, 7 km in 20 minutes
Step-by-step explanation:
1 hr = 60 minutes
21 km per 60 minutes = 21/60 = 0.35 km per minute
In 20 minutes: 0.35*20 = 7 km
what is the role of the term average in statistics
The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.
Calculation for the average of a set of numbers, follow these steps:
Add up all the values in the data set.
Division of the sum by the total number of values.
For example, consider the following data set: 10, 15, 20, 25, 30.
Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.
Divide the sum by the total number of values: 100 / 5 = 20.
In this case, the average of the data set is 20.
The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.
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PLEASE HELPPP ME!
I WILL GIVE YOU BRANLIEST!!
M(∠ABC) is right-angled-triangle with CD the altitude on the hypotenuse Determine the length of AC andBC if AD=12cm and DB=3cm.
M(∠ABC) is right-angled-triangle with CD the altitude on the hypotenuse. If AD=12 cm and DB=3 cm, then the length of AC is 8 cm and BC is 8 cm
Given:
Right-angled triangle M(∠ABC) with CD as the altitude on the hypotenuse AB.AD = 12 cmDB = 3 cmTo find:
Length of AC and BC
We can use the Pythagorean theorem, which states that for any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
\(Let AC = x and BC = y.\)
From triangle ACD, we have:
\(AC^2\) + \(CD^2\) = \(AD^2\) -- (1)
From triangle BCD, we have:
\(BC^2\) +\(CD^2\)= \(DB^2\) -- (2)
Since CD is the altitude on the hypotenuse AB, we can express its length in terms of x and y as:
CD = (AC * BC) / AB
Substituting this expression for CD in equations (1) and (2) and simplifying, we get:
\(x^2\) + \(((AC * BC) / AB)^2\) = 144 -- (3)
\(y^2 + ((AC * BC) / AB)^2\) = 9 -- (4)
We also know that AC + BC = AB.
Solving for BC in terms of x, we get:
BC = AB - AC = \(\sqrt{(x^2 + ((AC * BC) / AB)^2)\) - x
Substituting this expression for BC in equation (3) and simplifying, we get:
(\(AB^2 - 2x^2\)) * ((AC * AB) / \(AB^2\)) = 144 -- (5)
Similarly, substituting the expression for BC in equation (4) and simplifying, we get:
(\(AB^2 - 2y^2\)) * ((AC * AB) / \(AB^2\)) = 9 -- (6)
We can solve equations (5) and (6) simultaneously to find the values of AC and BC.
Multiplying equation (5) by 16 and equation (6) by 3, we get:
48(\(AB^2 - 2x^2\)) * ((AC * AB) / \(AB^2\)) = 432
16(\(AB^2 - 2y^2\)) * ((AC * AB) / \(AB^2\)) = 48
Simplifying these equations, we get:
3(\(AB^2 - 2x^2\)) * AC = 27 -- (7)
\(AB^2 - 2y^2\)= 3 -- (8)
We can substitute \(AB^2 = AC^2 + BC^2\) and BC = AB - AC in equations (7) and (8) to get:
\(3AC^3 - 42AC^2\) + 144AC - 1080 = 0
We can solve this cubic equation for AC using a numerical method or by factoring. One possible factorization is:
3(AC - 6)(\(AC^2\) - 6AC + 180) = 0
The only positive root of this equation is AC = 6 cm. Substituting this value of AC in equation (5) and solving for BC, we get:
BC = 8 cm
Therefore, the length of AC is 6 cm and the length of BC is 8 cm.
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Graph the inequality on a separate sheet of paper. Then explain how you would determine if(-1,-4) is a solution by
looking at the graph.
Step-by-step explanation:
Looking at the graph, if you plot the point (-1,-4) you'll see that the point is on the area(red one, in the graph I attached) the graph covers, you can also put x=-1 and y=-1 to check if it's true or not
Question 5(Multiple Choice Worth 2 points)
(Comparing Data LC)
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.
When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
IQR, because Sunny Town is symmetric
IQR, because Beach Town is skewed
Range, because Sunny Town is skewed
Range, because Beach Town is symmetric
Range because it measures the difference between the highest and lowest values in a dataset, provides a clear measure of variability for both sets of data. It is not affected by skewness or symmetry, which makes it a useful measure of variability for comparing the temperature consistency between Beach Town and Sunny Town.
What is the range?
A function's range can be used to describe one of two related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.
Here, we have
Given: A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks for every unit up to 14.
We have to determine which measure of variability should be used for both sets of data to determine the location with the most consistent temperature.
We concluded that Range because it measures the difference between the highest and lowest values in a dataset, provides a clear measure of variability for both sets of data. It is not affected by skewness or symmetry, which makes it a useful measure of variability for comparing the temperature consistency between Beach Town and Sunny Town.
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[(3 + 2)²×2] -(6-3)²
Answer:
41
Step-by-step explanation:
Answer:
41 is your final answer.
Step-by-step explanation:
For order od operations, you need to remember BPEMDAS. This stands for Brackets, Perenthesis, Exponents, Multiplication or Division, and Addition or Subtraction. This is the order of which you will complete the prolem, starting with Brackets.
1. Start off by solving with whats inside the brackets.
(3 + 2)²×2
And specifically inside the perenthesis.
(3 + 2) = 5
(5)²×2
Now the exponent(s).
(5)² = 25
25×2
now solve.
25×2 = 50
Your new equation is: 50 -(6-3)²
2. Again we go in order, starting this peice with perenthesis.
(6-3) = 3
50 -3²
Now the exponent(s).
3² = 9
50 -9
And finally subtract!
50 -9 = 41
41
A restaurant offered cooking classes on 20 of the 30 day in November.
What percent of the days in November did the restaurant offer cooking classes?
Step-by-step explanation:
Since the number of days for classes is 20 and the total days in November is 30
% = Number of days for classes
_____________________ *100
Total days in November
% = 20/30 *100
% = 66.7%(approximately)
The short-run aggregate supply curve is based on the assumption that firms and workers have established nominal wages, with the expectation that ______.
Answer:
The price level will stay constant.
The typical value of homes in Sparta is $139,594. If a home appreciates at 2.1% each year, what will the value be 7 years from now?
Answer:
161453.307585
Step-by-step explanation:
139,594(1 + 0.021)^7
139,594(1.021)^7
139,594 x 1.1565920282
161453.307585
What is 34 times 234? And how can you solve it
construct an interval to estimate the true average price of a regular room with a king size bed in the resort community with 99�% confidence. round the endpoints to two decimal places, if necessary.
We can be 99% confident that the true average price of a regular room with a king size bed falls within this interval.
The interval estimate to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence can be constructed using the sample mean, sample standard deviation, and the critical value for a 99% confidence level.
Given that the sample mean is $125 and the sample standard deviation is $30, we can calculate the margin of error using the formula:
Margin of Error = (Critical Value) * (Standard Deviation / √Sample Size)
Since we have a sample size of 18 and we want a 99% confidence level, the critical value can be obtained from the Z-table or using statistical software, and for a 99% confidence level, it is approximately 2.878. Plugging in the values, we get:
Margin of Error = 2.878 * (30 / √18) ≈ 18.71
The interval estimate is then constructed by adding and subtracting the margin of error from the sample mean:
Interval Estimate = Sample Mean ± Margin of Error
Interval Estimate = $125 ± $18.71
Rounded to two decimal places, the interval estimate for the true average price of a regular room with a king size bed in the resort community with 99% confidence is approximately $106.29 to $143.71.
# A travel agent is interested in the average price of a hotel room during the summer in a resort community. The agent randomly selects 18 hotels from the community and determines the price of a regular room with a king size bed. The average price of the room for the sample was $125 with a standard deviation of $30. Assume the prices are normally distributed. Construct an interval to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence. Round the endpoints to two decimal places, if necessary.
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What is the correct answer?
AD||BC
DC||AB
None
DC||AB is the answer
Ravindra' monthly income i rupee 90000. After pending on variou expenditure, he manage to ave rupee 40000 per month. What percentage of hi income doe he ave?
The percentage of his income he saved is 44.4%.
Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.
In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".
If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:
percentage = (40,000/90,000) x 100% = 44.4%
Hence, she saves 44.4% of his income per month.
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There were 8 judges at a gymnastic competition. Kathleen received these scores for her performance on the uneven parallel bars: 8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2 Mean = 8.8 Median = 8.85 Mode = 8.9 Which statistic reflects a typical score? Explain.
Answer:
It is the MEAN
Step-by-step explanation:
Mean, median and mode given in the question are all used to measure central tendency of a given data. From the sets of data given, and from the values of the mean, median and mode (8.8, 8.85 and 8.9 respectively) it can be summarized that these values points the center of the sets of data trying to estimate the average.
MEAN is the statistic that reflects a typical score because when we look at the data (8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2), it easily gives us the average score. Since mean = addition of the data value / the number of the data, it gives us Kathleen average score since it takes all the judges scores into consideration giving us the typical score. Unlike mode that only use most occured data meaning it doen't use all the data and as such may not show the true average of the scores. Also, mode is not consistent when it comes to small number of data especially if no score occur most or we have more than one mode. It is not median because of the small number of scores (data).
−112−(+312)−(−58)= what is the answer
Answer:
the answer is
-112-(+312)-(-58)
-424-(-58)
-366
After doing some mathematical operations, the resultant answer is -366.
What are mathematical operations?An operation is a mathematical function that transforms zero or more discrete input values into discrete output values. The complexity of the operation depends on how many operands there are. The rules that specify the order in which specific operations should be carried out in order to solve an expression are referred to as the order of operations. Parentheses, exponents, multiplication, division (from left to right), addition, and subtraction are the order of operations. (Left to Right) PEMDAS (from left to right).So, −112−(+312)−(−58):
Now, evaluate as follows:
Therefore, after doing some mathematical operations, the resultant answer is -366.
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Simplify the expression (6.8 x 106) +
(3.4 × 106). Express your answer in
scientific notation.
+
) × 10
x 10
x 10
(I'll use ^ for the index stuff)
First, we put 10^6 out as the common term
=> 10^6(6.8+3.4)
=> 10^6 (a) x 10.2 (b)
Though, because b has to be less than 10, we divide b by 10 and multiply a by 10
=> 10^7 x 1.02
a slope of -2 with a point at (3,-5)
Through (4,-3) and (5,-1)
Answer:
the answer is -4,-1
Step-by-step explanation:
y1-y2
x1-x2
What is the radius of a circle with an area of 9671.99 cm²? Use 3.14 for pi.
Answer:
55.5000143456...
Step-by-step explanation:
Use the formula for the area of a circle and solve for r:
\(A=\pi r^2\\9671.99=3.14r^2\\3080.25159236...=r^2\\55.5000143456...=r\)
The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?
Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.
Find all real square roots of -100 if there is more than one answer separate them with commas if there are none, click on “None”
Answer:
None
Step-by-step explanation:
Square roots of negatives are imaginary numbers.
√-100=10iBut, i, √-1, is an imaginary number as the square root of negatives because if x•x=-1 (or any other negative), there would be no valid x./.,/.ç/.,/.,/.,/.,,/,/.,/.,/.,/.,/.,/.,/.,/./.,/.
the sum of all the angles in a triangle is 180°
65°+20°+x = 180°
85°+x = 180°
x = 95°
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Simplify the radical
Answer:
The answer is in the screenshot below
Step-by-step explanation:
How do I graph these?
1. 2x-3y=9
2. 2x+3y=3
expressions are shown below
Answer:
9
Step-by-step explanation: