If p(a) is 0.6, p(b) is 0.5, probability of both the events happening together is 0.25> What is the probability of either event occurring?
To find the probability of either event occurring, we can use the formula for the union of two events: P(A or B) = P(A) + P(B) - P(A and B).
Given that P(A) = 0.6, P(B) = 0.5, and P(A and B) = 0.25, we can substitute these values into the formula.
\(P(A or B) = P(A) + P(B) - P(A and B)\)
\(P(A or B) = 0.6 + 0.5 - 0.25\)
\(P(A or B) = 0.85 - 0.25\)
\(P(A or B) = 0.60\)
The probability of either event occurring is 0.60 or 60%.
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The probability of either event occurring can be found by adding the probabilities of the individual events and subtracting the probability of both events happening together. In this case, the probability of either event A or event B occurring is 0.6.
The probability of either event occurring can be calculated using the principle of addition. To find the probability of either event happening, we need to sum the individual probabilities of the events and subtract the probability of both events happening together.
Given:
p(a) = 0.6 (probability of event A occurring)
p(b) = 0.5 (probability of event B occurring)
p(a and b) = 0.25 (probability of both events happening together)
To calculate the probability of either event occurring, we can use the formula:
p(a or b) = p(a) + p(b) - p(a and b)
Substituting the given values into the formula:
p(a or b) = 0.6 + 0.5 - 0.25
p(a or b) = 0.85 - 0.25
p(a or b) = 0.6
Therefore, the probability of either event A or event B occurring is 0.6.
To understand this concept better, let's consider an example. Suppose event A represents rolling a fair six-sided die and getting an even number (2, 4, or 6). The probability of event A occurring would be 0.5. Now, let event B represent flipping a fair coin and getting heads. The probability of event B occurring would be 0.5.
If we want to find the probability of either rolling an even number or flipping heads, we can use the formula mentioned earlier. The probability of rolling an even number is 0.5, the probability of flipping heads is 0.5, and the probability of both happening together is 0.25. Plugging these values into the formula, we get:
p(A or B) = 0.5 + 0.5 - 0.25
= 0.75
Therefore, the probability of either rolling an even number or flipping heads is 0.75.
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I dont really understand this question. I WILL GIVE BRAINIEST thank you to anyone who helps:)
Answer:12 out of 9 chances
Step-by-step explanation:
Answer: 9/24 or 3/8(simplified).
Step-by-step explanation:
Okay first let's break it down.
The spinner has a 1/4 chance of landing on blue.
The spinner has a 1/2 chance of landing on red.
The spinner has a 1/4 chance of landing on green.
The spinner has a 3/4 chance of landing on red or blue
The spinner has a 3/4 chance of landing on red or green.
The spinner has a 1/2 chance of landing on blue or green.
A 6-sided die has a 1/2 chance of landing on either even or odd.
The question first asks the probability of spinning a red or blue.
So first, you need to know how many parts of the spinner of the four sections are red and blue. It's 3/4. There are 3 even numbers on a six-sided die so that's 3/6 or 1/2. Next, multiply these probabilities to get 9/24 or 3/8.
The table represents a linear relationship. x −1 0 1 2 y 2 0 −2 −4 Which of the following graphs shows this relationship? Group of answer choices graph of a line passing through the points negative 2 comma negative 4 and 0 comma 0 graph of a line passing through the points negative 2 comma negative 1 and 0 comma 0 graph of a line passing through the points negative 2 comma 4 and 0 comma 0 graph of a line passing through the points negative 2 comma 1 and 0 comma 0
The graph of the linear function y = -2x is given by the image presented at the end of the answer.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.From the table, when x increases by 1, y decays by 2, hence the slope m is given as follows:
m = -2.
When x = 0, y = 0, hence the intercept b is given as follows:
b = 0.
Hence the function is:
y = -2x.
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help!
sketch the graph of each function
I can't add a photo but, put the dot near the -7 point. ( Don't get mad if it's wrong I'm not totally sure to be honest. )
Explain: I doubled the x axis that goes up to 8 so I doubled it by two to get 16 and multiplied 4x4 which equals 16 I subtracted 16 - 16 and got zero after I subtracted 7 and got -7
can someone please help me find the domain and range
Answer:
the domains are x axis or intercepts and range is y axis or intercepts
I need some help with this I’ve been unable to solve this
The given equation;
\(\frac{3x-5}{2}=-7\)Apply cross multiplication;
\(\begin{gathered} \frac{3x-5}{2}=-7 \\ 3x-5=-7\times2 \\ 3x-5=-14 \end{gathered}\)Now, add 5 on both side as;
\(\begin{gathered} 3x-5+5=-14+5 \\ 3x=-9 \end{gathered}\)Divide both side by 3;
\(\begin{gathered} \frac{3x}{x}=-\frac{9}{3} \\ x=-3 \end{gathered}\)Hence proof
_____ refers to deliberate efforts to provide full and equal opportunities in employment, education, and other areas for members of traditionally disadvantaged groups and applies only to organizations that receive federal funding.
Affirmative-Action refers to "deliberate-efforts" to provide full and equal opportunities in education, employment and other areas for members of disadvantaged groups.
The "Affirmative-Action" has the policies and practices that aim to eliminate discrimination and promote diversity by giving preferential treatment to individuals from underrepresented or historically disadvantaged groups.
These policies involve steps such as setting specific recruitment goals, implementing targeted outreach programs, and considering race, ethnicity, gender, or other factors in the selection process.
It is important to note that affirmative action policies are associated with organizations that receive federal funding, as they are subject to certain legal requirements and regulations.
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Round off the nec est tens 160
Answer:
200 is the answer since you round up
I’ll mark brainliest
Complete the statment with the best choice
All trapezoids are also
_________________.
a. squares b. parallelogram c. rectangles d. quadrilaterals
Answer:
d
Step-by-step explanation:
If we wanted to analyze the variables Birth Rate and Death Rate at the same time, what would be appropriate to use? Mark all that apply..
- two-way table
- scatterplot
- boxplots
- histogram
- split bar chart
- stacked bar chart
The appropriate methods for analyzing the variables Birth Rate and Death Rate at the same time would be scatterplot, two-way table, and stacked bar chart.
Scatterplot: A scatterplot can be used to visually display the relationship between two quantitative variables, such as Birth Rate and Death Rate. Each point on the scatterplot represents a pair of values for the two variables, making it easy to identify patterns or trends in the data.
Two-way table: A two-way table can be used to display the distribution of two categorical variables, such as Birth Rate and Death Rate, and how they relate to each other. It can help identify the joint frequency or relative frequency of different categories.
Stacked bar chart: A stacked bar chart can be used to show how two categorical variables, such as Birth Rate and Death Rate, are related to each other. Each bar represents the total frequency for each category, and the bars are divided into sections representing the subcategories of the other variable. This makes it easy to compare the distribution of the two variables across each category.
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Mrs. Soriano baked 7 5/9 dozens of chocolate cookies. She gave 3 1/3 dozens to her friends. How many dozens of chocolate cookies were left ?
A. 4 3/9
B. 4 2/9
C. 4 5/9
D. 4 1/9
Answer:
4 2/9
Step-by-step explanation:
7 5/9 -3 1/3
68/9 -10/3
(68-30)/9
38/9
4 2/9
Identify a product/service that is currently in the decline stage. Use the Product Lifecycle Concept to explain why you believe the product/service is at that stage .
Describe the strategic options for companies that are competing in a declining market. Provide specific examples too illustrate what these strategic options entail and how they differ .
One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.
DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.
In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.
Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.
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does anyone know the perimeter and area of this??
Answer:
P=26 cm A=40 cm^2
Step-by-step explanation:
Perimeter:
5+5+8+8=26
Area:
8x5=40
The Space Needle is 605 feet tall. A model of the building is 15 inches tall. What is the ratio of the height of the model to the height of the actual Space Needle?
A. 12:484
B. 1:484
C. 484:12
D. 484:1
And can u please show how to solve it? :)
Answer:
B. 1:484
Step-by-step explanation:
You want the scale of a 15-inch model that represents a 605-foot building.
ScaleThe scale is the ratio of the model distance to the corresponding real-world distance. To express the scale as a ratio or fraction without units, the measures being compared must have the same units.
scale = 15 in : 605 ft = 15 in : (605 ft · 12 in/ft) = 15 : 7260
scale = 1 : 484
The ratio of heights is ...
B. 1:484
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Please help due in 10 minutes
Two soup cans p and q are right circular cylinders. each can has the same height, 5 inches, but the radius of can p is 2 inches, and the radius of can q is 4 inches. how many times larger is the volume of can q than the volume of can p?
Answer: B. 4
Sorry for the really late answer
Step-by-step explanation:
If the radius of a right circular cylinder is multiplied by k, and its height does not change, then the volume of the cylinder is multiplied by k². The radius of can Q is twice as great as the radius of can p. Therefor, the volume of can Q is 2², or 4 times larger than the volume of can p.
An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects, prior to using the potatoes to make potato chips. Unless there is clear evidence that this proportion, p, is less than 0. 1, he will reject the shipment. He selects an SRS of 200 potatoes from the more than 5000 potatoes on the truck. Twelve of the potatoes sampled are found to have major defects. Using the plus four method, a 95% confidence interval for the true proportion of potatoes in the truck that have major defects is:
A. 0. 027 to 0. 93.
B. 0. 009 to 0. 111
C. 0. 034 to 0. 103.
D. 0. 051 to 0. 103
From the given information, option c. is the answer. A 95% confidence interval for the true proportion of potatoes in the truck that have major defects is 0.034 to 0.103.
The plus four method is a method for constructing confidence intervals for proportions, which adds two successes and two failures to the sample before calculating the confidence interval. In this case, we have a sample size of n = 200 and 12 successes (potatoes with major defects) in the sample.
To use the plus four method, we first calculate the adjusted number of successes and failures as follows:
Adjusted number of successes = number of successes + 2
Adjusted number of failures = number of failures + 2
In this case, the adjusted number of successes is 12+2=14, and the adjusted number of failures is 186+2=188.
Next, we calculate the sample proportion:
p = 14/200 = 0.07
Then we add 2 successes and 2 failures to the sample to get a new sample size of n' = 204, with 16 successes and 190 failures. We can use the standard formula for a confidence interval for a proportion with a large sample size:
p ± z × √(p(1-p)/n')
where z is the critical value for the desired level of confidence, and we use p=0.07 as our estimate of the true proportion. For a 95% confidence interval, z=1.96.
Plugging in the values, we get:
\(0.07 ± 1.96√(0.07(1-0.07)/204)\)
Simplifying, we get:
0.07 ± 0.037
So the 95% confidence interval for the true proportion of potatoes in the truck that have major defects is:
0.033 to 0.107
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Write the function that corresponds to the given situation.
Answer:
D(x) = 70 (0.85)^x, A= 70, B= 0.85
Step-by-step explanation:
You start at 70, giving you your A value
Since it's decreasing, you subtract 0.15 from 1, leaving you with 0.85. That will be your B value.
Which of the type directions lie in the (110) plane? [101] [110] [o īl] (110
The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.
Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.
Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.
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Using suitable algebraic rule, calculate 105^2 -5^2
Answer:
\(\huge\boxed{\sf 11000}\)
Step-by-step explanation:
\(\sf 105^2 - 5^2\\\\Using\ Formula \ a^2 = b^2 = (a+b)(a-b)\\\\Here\ a = 105 \ and \ b = 5\\\\(105+5)(105-5)\\\\(110)(100)\\\\11000\)
Hope this helped!
~AnonymousHelper1807Answer:
11000
Step-by-step explanation:
To ^2 a number is to multiply it by itself, or 3^2=3x3 4^2=4x4 etc.
(105x105) - (5x5)
105x105=11025
5x5=25
11025-25=11000
in a paired sample t test, if your null hypothesis is correct, you would expect the mean of the difference scores to be close to
In a paired sample t-test, if the null hypothesis is correct, one would expect the mean of the difference scores to be close to zero.
A paired sample t-test is used to compare the means of two related groups or conditions. It involves measuring the same variable twice, such as before and after a treatment, on the same individuals or matched pairs. The null hypothesis assumes that there is no significant difference between the means of the two conditions or treatments.
If the null hypothesis is correct, it suggests that any observed differences between the two conditions are due to random chance or sampling variability. Therefore, the mean of the difference scores, which represents the average change or discrepancy between the two measurements, would be expected to be close to zero.
By conducting a paired sample t-test, researchers can assess whether the observed mean difference is statistically significant, meaning it is unlikely to have occurred by chance alone. If the calculated t-value is sufficiently large and leads to rejecting the null hypothesis, it suggests that the observed difference is unlikely to be a result of random variation, and there is evidence to support a genuine difference between the two conditions being compared.
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For f(x) = -x + 8, which statement is true?
Plz Factorise it for me
\(18h^{2} -12hj\)
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\(18 {h}^{2} - 12hj = 6h(3h - 2j)\)
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A submarine is descending to examine the seafloor 2100 feet below the surface. It takes a submarine two hours to make this decision. What’s an equation to represent the relationship between submarines elevation time
Elevation = 0 - 1050 × Time or Elevation = -1050t, where Elevation is in feet and Time is in hours, is the expression that describes the connection between the submarine's elevation and time.
What is a mathematical measure of time?Seconds, mins max, minutes, days, periods, months, and years are the fundamental elements of time. To determine the time of day, we use secs, minutes, as well as hours; to determine the date, we use times, months, and years. The lesser measures of time are seconds, minutes, and hours, while the larger ones are days, months, and years.
Assuming that the submarine is descending at a constant rate, we can use the equation:
Elevation = Initial Elevation - Rate × Time
where Initial Elevation is the starting elevation (in this case, the surface), Rate is the rate of descent, Time is the time elapsed, and Elevation is the current elevation.
In this case, the Initial Elevation is 0 feet (the surface), the Rate is -1050 feet per hour (since the submarine is descending at a rate of 1050 feet per hour), and Time is the elapsed time in hours.
Therefore, the equation that represents the relationship between the submarine's elevation and time is:
Elevation = 0 - 1050 × Time
or
Elevation = -1050t
where Elevation is in feet and Time is in hours.
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How might constructions prove to be useful in your life?
Step-by-step explanation:
Constructions are useful in life. From learning it, you are able to use the required tools, and get familiarized with different shapes and angles. This would help you prepare for the task of proving theorems that involved those shapes and angles. It is not the end, ultimately, it prepares you for real life. Constructions are applied in building houses, estates, etc, and constructions of roads, bridges, etc.
8, 3, 5, 5, 4, 7 Find the median, lower quartile, and upper quartile of the set of data. Use the median, lower quartile, upper quartile, lowest value, and highest value of the set to construct a box-and-whisker plot on your own sheet of paper. Use the box-and-whisker plot to find the range and the interquartile range of the set of data.
Answer:
Median: 5
Lower quartile: 4
Upper quartile: 7
Lowest value: 3
Highest value: 8
Box plot below
Step-by-step explanation:
When making a box plot, you plot the lowest value and the highest value. You make a box going from the lower quartile (in this case it's 4) to the upper quartile (7). You put a point on the median for the overall set of numbers, and you're done!
The Median is 5,The lower quartile is 4,The upper quartile is 7,The lowest value is 3,The highest value is 8.
We have given that 8, 3, 5, 5, 4, 7.
What is the median?The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.
We have to make a box plot, first plot the lowest value and the highest value. You make a box going from the lower quartile (in this case it's 4) to the upper quartile (7) and put a point on the median for the overall set of numbers.
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Which student is the fastest from the church given their location diego dora? defend your answer by using a triangle inequality theorem
The Triangle Inequality Theorem, if CE + DE > CD, then Dora is the fastest from the church. Conversely, if CD + DE > CE, then Diego is the fastest.
To determine which student is the fastest between Diego and Dora, more information about their locations and the distances involved.
The Triangle Inequality Theorem states that in a triangle, the sum of the lengths of any two sides is always greater than or equal to the length of the remaining side.
Assuming that Diego, Dora, and the church form a triangle, compare the distances between each student and the church to determine who is the fastest.
The distances between Diego and the church, Dora and the church, and Diego and Dora are as follows:
Distance between Diego and the church: d1
Distance between Dora and the church: d2
Distance between Diego and Dora: d3
According to the Triangle Inequality Theorem, for any triangle, the sum of the lengths of any two sides is greater than or equal to the length of the remaining side.
d1 + d2 ≥ d3
d1 + d3 ≥ d2
d2 + d3 ≥ d1
The student who is closest to the church is the fastest, the inequalities to determine which student that is.
The first inequality: d1 + d2 ≥ d3. If Diego is closer to the church (d1 < d2), then we can rewrite the inequality as d1 + d2 ≥ d1 + d3, which simplifies to d2 ≥ d3. This means that if Diego is closer to the church, he would be the fastest.
If Dora is closer to the church (d2 < d1), then the inequality becomes d1 + d2 ≥ d2 + d3, simplifying to d1 ≥ d3. if Dora is closer the fastest.
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How long would it take R20000 invested today at a simple interest rate of 9% p.a. to reach an investment goal of R30000.
A Approximately 5.6 years
B Approximately 6.1 years
C Approximately 4.7 years
D Approximately 5.1 years
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)
Tracy took a test and had 24 questions. She got 5/6 of the questions correct. How many questions did she answer correctly? Write an equation to model your work
Tracy got 20 questions correct in her test.
Tracy took a test in which there are 24 questions, out of which Tracy got 5/6 correct.
Hence he got 24 x 5/6 = 20 questions correct.
An equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign.
So ,an equation to model this would be:
x = 24 x 5/6
where x is the number of questions tracy answered correctly.
Hence Tracy answered 20 questions correctly.
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86x4=?
4x4=
3x3=
Who wanna z00m?
Answer:
86×4 = 344
4×4= 16
3×3= 9
Step-by-step explanation:
I hope it help
Answer: 344, 16, 9
Step-by-step explanation: