La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
Answer:
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Step-by-step explanation:
La probabilidad condicional :
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
En el cual:
P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.
\(P(A \cap B)\) es la probabilidad de que ocurran tanto A como B.
P(A) es la probabilidad de que ocurra A.
En esta pregunta :
Evento A: Estudiante A aprueba.
Evento B: Estudiante B aprueba.
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6
Entonces \(P(A) = 0.6\)
La probabilidad de que ambos estudiantes aprueben es 0.3
Entonces \(P(A \cap B) = 0.3\)
¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5\)
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Which shape is an equivalent fraction to this fraction? 3/4
10/14
7/8
6/8
4/7
Answer:
6/8
Step-by-step explanation:
3/4
Multiply by 2/2
3/4 *2/2 = 6/8
Charlette reads 8 1/3 pages of a book in 10 minutes. What is her average reading rate in pages per minute?
Answer:
Step-by-step explanation:
8 1/3 pages/10 minutes = 25/3 pages / 10 minutes = 25/30 pages/minute = 5/6 page/minute
In the following figure, the value of x is
20
135
с
B
Note: Round your answer to the nearest tenth.
20
y'all homeworks are easy lølllll
all real numbers greater than or equal to -5
[-5, 3) is the interval of all real numbers greater that or equal to -5 but less than 3
What is Number system?A number system is defined as a system of writing to express numbers.
We need to write all real numbers greater that or equal to -5 but less than 3
[-5, 3)
-5 is included in the interval because it is greater than or equal to.
But the 3 is not included in the interval because it is strictly less than
Hence, [-5, 3) is the interval of all real numbers greater that or equal to -5 but less than 3
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If three coins are thrown what is the probcbility Obtaining at least two head?
Answer:
2 head and 1 tail form my side
in the questionnaire design process, what is the first step? determine the data-collection method determine the survey objectives, resources, and constraints decide on question wording determine the question response format
There are nine different steps in questionnaire design process among which the first step is to decide upon the information required.
A good survey needs a well-designed questionnaire. However, as there is no theory of questionnaires to serve as a guide, the researcher must build his or her own intuition for what constitutes "excellent design."
A good questionnaire should directly contribute to the accomplishment of the study's goals, give complete and accurate data, be simple for interviewers and respondents to complete, allow for solid analysis and interpretation, and be brief.
The design of a questionnaire will depend on whether the researcher wants to gather quantitative data or qualitative data for the sake of better understanding or developing hypotheses about a subject (to test specific hypotheses that have previously been generated).
In the questionnaire design process, there are in all nine steps in developing the questionnaire -
Decide the information required.Define the target respondents.Choose the method(s) of reaching your target respondents.Decide on question content.Develop the question wording.Put questions into a meaningful order and format.Check the length of the questionnaire.Pre-test the questionnaire.Develop the final survey form.Thus, the first step in the questionnaire design process is to decide the information required.
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in how many ways can 6 people be seated around a table if 2 person insist sitting next to each other
if you assume 2 person in the centre
there are 4! possibilities that other people can ve sorted.
but the 2 person can sit in 2 ways.
so the answer is 4!.4
= 96
It's not too hard please
Answer:
\(x = \frac{4y^{2} + 1}{ {y}^{2} - 1} \)
Step-by-step explanation:
Please see the attached pictures for the full solution.
What is the coefficient of 5x² in 5x² 5x?
Answer:
Step-by-step explanation:
i think 1
A sales team estimates that the number of new phones it will sell is a function of the price that it sets. It estimates that if it
sets the price at x dollars, it will sell f(x) = 4,920 - 6x phones. Therefore, the company's revenue is x . (4,920 - 6x). Find
the price x that will maximize the company's revenue.
Answer:
410
Step-by-step explanation:
Revenue is given by the relation :
x . (4,920 - 6x)
F(x) = 4920x - 6x²
To obtain the price, x which maximizes revenue, we take the first derivative of the revenue function and equate to 0
F'(x) = 0
F'(x) = 4920 - 12x
4920 - 12x = 0
-12x = - 4920
x = 4920 / 12
x = 410
Price will be 410
Perfect Pizza has 15 toppings listed on their menu. How many ways could a customer choose a pizza that contains 3 different toppings?
If adding only twelve, you must leave out three of the fifteen, and the number of ways is = 15! / (3! * 12!).
1∗2∗3∗4∗5∗6∗6∗8∗9∗10∗11∗12∗13∗14∗15 over
(1∗2∗3)∗(1∗2∗3∗4∗5∗6∗6∗8∗9∗10∗11∗12) =
13∗14∗15 over
(1∗2∗3)
27306 = 455
Answer: If all toppings are distinct, then you have C 4 15 combinations. If there are three distinct toppings, you have 3 ⋅ C 3 15 combinations (because we have C 3 15 choices for toppings and then 3 choices for which of those three toppings is doubled).
Step-by-step explanation:
Select the correct statement based on the given information. A. Given: If three points are noncollinear, they determine a plane. Points A, B, and C lie in plane G. Conclusion: Points A, B, and C are noncollinear. Multiple choice question. A)
Valid; points A, B, and C determine plane G. Therefore, they are noncollinear. B)
Invalid; points A, B, and C can be collinear and lie in plane G. C)
Valid; because points A, B, and C are noncollinear, they must determine plane G. D)
Invalid; points A, B, and C determine plane G. Therefore, they are noncollinear
The correct option is C) Valid; because points A, B, and C are non collinear, they must determine plane G.
What is termed as the noncollinear points?Non-collinear points are a group of points that don't lie within the same line. A single straight line cannot be drawn through these points.If the slope of the any two point pairs is the same, 3 or more marks are said to be collinear. The the line's slope essentially measures how steep the line is.For the given question;
Given: If three points are noncollinear, they determine a plane. Points A, B, and C lie in plane G.
Conclusion: Points A, B, and C are non collinear.
Thus, the option C best described the given situation as, Valid; because points A, B, and C are noncollinear, they must determine plane G.
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Suppose you calculated a paired-samples t test, with 30 pairs of scores. Mean mean difference is 6 and the standard error is 2.1. What is the .95 confidence interval
This means that we can be 95% confident that the true population means difference lies between 1.7075 and 10.2925.
Confidence interval = Mean difference ± (t-value × standard error)
Substituting the given values into the formula, we get:
Confidence interval = 6 ± (2.045 × 2.1)
Confidence interval = 6 ± 4.2925
A confidence interval is a statistical concept used to estimate the range of values in which a population parameter is likely to fall. It is calculated using sample data and is used to provide an estimate of the true population parameter.
The confidence interval is a range of values that is constructed around a point estimate, such as the sample mean or proportion. This range is based on the level of confidence chosen by the researcher, typically 90%, 95%, or 99%. For example, a 95% confidence interval means that if we were to repeat the sampling process many times, we would expect the true population parameter to fall within the range of values calculated for 95% of those samples.
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Which of the following polynomial functions is graphed below?
Answer: B. f(x)=(x+4)(x-2)^2(x+3)
Step-by-step explanation:
in the graph there's two negative x value and one positive x value
so the function should be in a form of f(x)= (x+a) (x-b)^2 (x+c)
the one with negative value has a square, (x-b)^{2}, because that's where the y = 0 (the point is hitting the (x,0))
Answer: B
Step-by-step explanation:
a(n) ________ report displays a greater level of detail.
A drill-down report is a type of report that displays a greater level of detail as the user navigates through it.
A drill-down report is a type of report that allows the user to access a greater level of detail as they navigate through it. It is an interactive report that presents a summary of data initially and then allows the user to drill down to more detailed information.
The report provides a visual representation of data that can be explored at different levels of granularity, providing a deeper understanding of the underlying information. Drill-down reports are useful for decision-making because they provide insights into the root causes of issues or trends.
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a thirty-year-old woman decides to pay $390 for one year life insurance policy with coverage of 150000. the probability of her living through the year is 0.9976. what is her expected value for the insurance policy
Answer:
5
Step-by-step explanation:
The expected value is −390(0.9976) + (150,000 − 390)( 1 − 0.9976) = −$30
-$30. This was the right answer on Brainly.
Revenues
What are the gross sales?
Income Statement
For the Year Ended January 31, 2028
Merchandise Sales
Donations
Total Revenues:
Expenses
Imported Items
Building Rent
Total Expenses:
$3,000.00
2,000.00
1,000.00
2,200.00
5,000.00
3,200.00
The total revenues for the year ended January 31, 2028, are $5,000.00.
This includes both the gross sales or merchandise sales of $3,000.00 and the donations of $2,000.00.
Based on the given information, the gross sales or merchandise sales can be determined as the total revenues before considering any other sources such as donations.
In this case, the gross sales or merchandise sales are $3,000.00.
This amount represents the revenue generated from the sale of goods or merchandise during the specified period.
The income statement provides a breakdown of the revenues and expenses for the year ended January 31, 2028.
The merchandise sales contribute $3,000.00 to the total revenues. Additionally, there are donations totaling $2,000.00, which are separate from the merchandise sales.
To calculate the total revenues, we sum up the merchandise sales and the donations:
Total Revenues = Merchandise Sales + Donations
= $3,000.00 + $2,000.00
= $5,000.00
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solve the following equation.
(3y - 2)/3 + (2y + 3)/2 = y + 7/6
Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.
there are 12 players on a baseball team. how many ways are there to set up a batting order of 9 players from among the 12 players
There are 66,960 number of ways to set up a batting order of 9 players from among the 12 players on the baseball team.
To determine the number of ways to set up a batting order of 9 players from among the 12 players on a baseball team, we can use the concept of permutations.
Since the order matters in a batting order, we can use the formula for permutations.
The number of permutations of selecting 9 players from a pool of 12 players is given by:
P(12, 9) = 12! / (12 - 9)!
Calculating this, we have:
P(12, 9) = 12! / 3!
= (12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4) / (3 * 2 * 1)
= 12 * 11 * 10 * 3 * 7 * 2
= 66,960
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What shape is the king of the quadrilaterals?
Square is consider as the king of all the quadrilaterals.
Explanation:
Quadrilaterals are four sided geometrical shape with four vertices, four sides, and four angles enclosed in it.There are six types of quadrilaterals namely trapezium, parallelogram, rectangle, rhombus, square, and kite.Square is consider as the king of all the quadrilaterals:
Square have all four sides congruent, opposite pair of sides parallel to each other, and measure of each angle is 90 degree.Each of these properties represents different types of quadrilateral.Each angle 90 degree represent rectangle.Opposites are parallel to each other represent parallelogram.All sides are congruent represents rhombus.Square consists property of parallelogram, rectangle, and rhombus.Therefore, square shape is consider as the king of all the quadrilaterals.
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Terrence buys an apartment for 122,000. Five years later he sells the apartment for. 156,000 he had to pay a 5.2% comission fee on the final sale price of the house
Step-by-step explanation:
\( \frac{5.2}{100} \times 156000 \\ = 8112commission\)
Find the volume for this figure. Use 3.14 for (pie)
A)1,656 mm
B) 1,092 mm
C) 1,250 mm
D) 1,800 mm
Answer:
the andswer there is D
Step-by-step explanation:
just think of it as a cylinder and a square
put both circular parts together and you have a cylinder with the diameter of 12 and a height of 7 and find the volume of that which is πr²h so π 6² 7
then the volume of your rectangular prism is the length times width times height so 12 by 12 by 7
What is the distance from (−5, −19) to (−5, 32)? HELPP
13 units
51 units
−13 units
−51 units
The distance between the given coordinates (−5, −19) and (−5, 32) is given by 51 units.
Let us consider the coordinates of two given points be,
(x₁ , y₁ ) = ( -5 , -19 )
(x₂ , y₂ ) = (-5 , 32 )
Distance formula between two points is equals to,
Distance = √ ( y₂ - y₁)² + ( x₂ - x₁ )²
Substitute the values of the coordinates we have,
⇒ Distance = √ ( 32 - (-19))² + ( -5- (-5) )²
⇒ Distance = √ (32 +19)² + (-5 + 5)²
⇒ Distance = √ 51² + 0²
⇒ Distance = 51 units.
Therefore, the distance between the two points is equal to 51 units.
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The perimeter of a rectangular parking lot is 360 m. If the width of the parking lot is 85 m,what is it’s lenght?
Answer:
95m
Step-by-step explanation:
Formula:p=2(l+w)
360m=2(l+85m)
360m=2l+170m
360m-170m=2l
190m/2=2l/2
L=95m
4/7 of the girls the chicken nuggets,whereas 40% of the boys like the chicken nuggets.How many total students like chicken nuggets?What percents of the entire students body is this?
The percentage of students who like chicken nuggets is 97%, which is equivalent to 97 students.
How many students liked the chicken nuggets?To better understand this question, let's simplify some of the information given:
4/7 out of the girls liked the chicken nuggets = 0.57 or 57% of the girls
40% of the boys liked the chicken nuggets = 0.40
Based on this information, it can be concluded that 97% of students liked chicken nuggets. Moreover, if the population includes 100 students, this percentage will be equivalent to 97 students.
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A theater has 22 rows of seats. the first row has 27 seats and each row has 3 seats more than the previous one. how many seats are in the theater total?
The number of total seats in the theater is 1287 seats.
How to calculate the value?The formula to find the sum in an arithmetic sequence will be:
= n/2 (a + l)
where n = total number
a = first term
l = last term
The last term which is the 22nd term will be:
= a + 21d
= 27 + 21(3)
= 27 + 63
= 90
The sum will be:
= n/2 (a + l)
= 22/2 ( 27 + 90)
= 11 × 117
= 1287 seats
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Which equation has a slope of 4 and contains the point (2, 3)?
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4
The only 2 equations with a slope of 4 are
B y = 4x - 5
C y = 4x + 2
To find the one which contains the point (2, 3)
Substitute x = 2 into the equation and if y = 3 then the line contains the point
B y = 4(2) - 5 = 8 - 5 = 3 ← contains (2, 3 )
C y = 4(2) + 2 = 8 + 2 = 10 ≠ 3 ← does not contain the point
Mark has some money in his wallet. He was paid $8 for for working for an hour and then had a total of $15. How much money did he have in his wallet before working?
show your work