The simplified sum is (2x²+x-7)/[(x+4)(x-2)] of the expression (2x+3)/(x+4)+(x-1)/(x²+2x-8)
In the expression there are two fractions
To add the two fractions, we need to have a common denominator.
The denominator of the first fraction is x+4, while the denominator of the second fraction is x²+2x-8=(x+4)(x-2).
Therefore, we can write:
(2x+3)/(x+4) + (x-1)/(x²+2x-8) = (2x+3)/(x+4) + (x-1)/[(x+4)(x-2)]
Now, we can sum the fractions by finding a common denominator and adding the numerators:
(2x+3)/(x+4) + (x-1)/[(x+4)(x-2)] = [(2x+3)(x-2) + (x-1)(x+4)]/[(x+4)(x-2)]
= (2x²+x-7)/[(x+4)(x-2)]
Therefore, the simplified sum is (2x²+x-7)/[(x+4)(x-2)], which is option (C).
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Ten pieces of paper with the number 1 to 10 are placed in a hat. What's the probability of pulling out a number that is divisible by 2 or 3?
A.1/10
B.6/10
C.8/10
D. some other response
The answer is B, 6/10. This is because the probability of pulling out a number that is divisible by 2 or 3 is 6 out of 10.
What is outcome?Outcome is the result of an action, event or process. It is the final product or effect of an activity and is often used to measure the success or failure of something.
This can be calculated by dividing the number of events that meet the criteria by the total number of possible outcomes.
In this case, there are 6 numbers that are divisible by 2 or 3 (2,3,4,6,8,9) and 10 pieces of paper with numbers 1 to 10, so 6/10.
To express this probability in percentages, the answer would be 60%. This means that there is a 60% chance of pulling out a number that is divisible by 2 or 3.
This type of probability calculation is used in many situations, such as determining the probability of an event occurring in a game or determining the likelihood of something happening in a given sample size. It is important to understand how to calculate these probabilities in order to make informed decisions.
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Describe the data set by listing the attribute measured, do you of measure, the likely means of measurement, and the number of observations
Answer:
Step-by-step explanation:
1. What attribute is measured?
The attribute measured is the weight of a number of pets.
2. What unit of measurement is used?
The unit of measurement is pounds (lbs).
3. What means was likely used to obtain the measurements
The likely means of measurment is a balance which is the device specially created to measure mass, called weight on a regular or informal basis
4. How many observations were made?
Count the number of cells on the table: two rows and four columns = 4 × 2 = 8.
Data set 2: Serving volume (cups)
1. What attribute is measured?
The atribute measured is volume of servings for different kinds of food.
2. What unit of measurement is used?
The unit of measure used is cups, which is a traditional unit for servings of food. Four a reference 4 cups make 1 quart.
3. What means was likely used to obtain the measurements?
To measure the volume in cups you use . . . cups! There is a stantard size of cups. You should not use any kind of cup, but a cup with the standardized measure.
4. How many observations were made?
One for each kind of food: 5 (lettuce, soup, cheese, ice cream, and sauce).
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100 points
(08.04)
The following data show the scores of some students in a competition:
13 points
24 points
31 points
24 points
27 points
23 points
11 points
Which box plot represents the data? (3 points)
a
A box plot titled 'Scores of Participants' and labeled 'Score' uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 23 to 27 on the number line. A line in the box is at 24. The whiskers end at 11 and 31.
b
A box plot titled 'Scores of Participants' and labeled 'Score' uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 27 on the number line. A line in the box is at 24. The whiskers end at 11 and 31.
c
A box plot titled 'Scores of Participants' and labeled 'Score' uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 27 on the number line. A line in the box is at 23. The whiskers end at 11 and 31.
d
A box plot titled 'Scores of Participants' and labeled 'Score' uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 27 on the number line. A line in the box is at 24. The whiskers end at 10 and 35.
In the given problem, considering the range of data, the correct box plot is b. Therefore, option b is the correct answer in the given problem.
How to solve the Problem?The range of the data is from 11 to 31, so options a, c, and d are incorrect because the whiskers extend beyond this range.
In option b, the box extends from 13 to 27, which covers the range of the data. The line in the box is at 24, which is the median score. The whiskers end at 11 and 31, which are the minimum and maximum scores, respectively. This box plot accurately represents the given data.
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Please answer this question: Two less than one-fourth of the product of eight thirds and nine
Answer:
4
Step-by-step explanation:
Q) 2 less than 1/4 of the product of 8/3 are 9.
Step 1: 8/3 of 9= 24
9÷3= 3
3×8= 24
Step 2: 1/4 of 24= 6
24÷4= 6
6×1= 6
Step 3: 2 less than 6= 4
6-2= 4
Answer= 4
Use the graph paper provided and graph the following systems of inequalities.
Determine all the possible solutions, Select all that apply.
y>4x - 3
yz -2x + 3
Select that all apply
A. (1,1)
B. (1,2)
C. (1,5)
D. (3,4)
E. (0,5)
The solutions of the system of inequalities:
y > 4x - 3
y ≥ -2x + 3
Are:
B. (1,2)
C. (1,5)
E. (0,5)
How to find the solution of the system of equations?Here we have the system of inequalities:
y > 4x - 3
y ≥ -2x + 3
A solution of the system of inequalities is any pair (x, y) such that it solves both inequalities.
To check that you can graph the system and find the points that lie in the intersection of the shaded areas for both inequalities.
The graph can be seen in the image below, the points that are solutions are:
B. (1,2)
C. (1,5)
E. (0,5)
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a contractor can by two types of wood. she got 45 expensive wood and 60 cheap wood for the same total price. if the 45 expensive wood cost $3.00 more than the 60 cheap wood, then which equation below shows the correct relationship between the 2 types of wood that she purchased. Also (x =price of the 60 cheap wood)
A.45(x+3)=60x
B.45(x-3)=60x
C.60(x-3)=45x
D.60(x+3)=45x
The correct linear equation that shows the relationship between the two types of wood purchased by the contractor is option A. 45(x+3)=60x.
Let's break down the problem,
The contractor purchased 45 units of expensive wood and 60 units of cheap wood for the same total price.
Let's assume that the price of the 60 units of cheap wood is x.
According to the problem, 45 units of expensive wood cost $3.00 more per unit than 60 units of cheap wood. This means that the price of the 45 units of expensive wood is (x+3).
Now, we can set up the equation,
The total cost of 45 units of expensive wood + Total cost of 60 units of cheap wood = Total cost of wood purchased
45(x+3) + 60(x) = 105(x)
Simplifying this equation, we get:
45x + 135 + 60x = 105x
105x = 135
x = 1.29
Therefore, the price of the 60 units of cheap wood is $1.29, and the price of the 45 units of expensive wood is $4.29.
Substituting the value of x in option A, we get:
45(x+3) = 45(1.29+3) = 45(4.29) = 193.05
60x = 60(1.29) = 77.4
Total cost of wood purchased = 193.05 + 77.4 = 270.45
This confirms that option A is the correct linear equation that shows the relationship between the two types of wood purchased.
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If D+2 would react with E¹, what do you predict to be the formula?
1)DE
2)D₂E
3)DE2
4)D₂E2
Based on the information provided, I think 4) D₂E² is most likely be the formula for the reaction between D+2 and E¹.
This is because D+2 has a charge of 2+ and E¹ has a charge of 1-. In order for the charges to balance out in the resulting compound, two D+2 ions would need to combine with one E¹ ion. This would result in a compound with the formula D₂E².
What is a formula?A formula is a rule that uses letters of the alphabet to portray amounts or quantities which can be changed. We use formula to solve problems in the field of Mathematics, Computer Science, Chemistry, etc.
Different problems have different formulas for solving them. For example, we have a formula for the area of a rectangle, formula to work out simple interest, etc.
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Assume the following information relates to TTB in the year 2008. Study the table below carefully and answer the questions that follow.
% change in demand % change in bank charges % change in Income of clients
Current
A/C Savings
A/C Fixed deposit A/C ATM
transactions
Current A/C -0.289 4.11 90.90 0.000 4.24
Savings A/C 1.000 -2.450 -6.45 2.44 -4.24
Fixed deposit A/C -5.23 12.85 -10.91 -3.09 0.11
ATM transactions -8.916 0.000 -0.196 -1.000 1.00
(a) Comment on the own price elasticity of demand
(b) What is the price elasticity of Current A/C resulting from a unit % change in bank charges of Savings A/C, Fixed deposit A/C, and ATM transactions?
(c) What is the price elasticity between Savings A/C and Current A/C, Savings A/C and Fixed deposit A/C, Savings A/C and ATM transactions?
(d) Comment on the income elasticity of demand for Current A/C, Savings A/C, Fixed deposit A/C and ATM transactions
(e) Discuss the prospects of these services assuming an economic expansion in Ghana.
(f) Which of these products of TTB would you advise management to increase or reduce its bank charges and why?
(a) Own price elasticity shows a negative relationship for Current A/C, Fixed deposit A/C, and ATM transactions, while Savings A/C has a positive relationship.
How to solve(b) Price elasticity of Current A/C for Savings A/C, Fixed deposit A/C, and ATM transactions is 4.11, 90.90, and 0.000, respectively.
(c) Price elasticity between Savings A/C and Current A/C, Fixed deposit A/C, and ATM transactions is -0.289, -2.450, and 2.44, respectively.
(d) Income elasticity is positive for Current A/C and ATM transactions and negative for Savings A/C and Fixed deposit A/C.
(e) In economic expansion, Current A/C and ATM transactions may improve while Savings A/C and Fixed deposit A/C demand might decline.
(f) Management should consider reducing charges for Fixed deposit A/C and ATM transactions to stimulate demand; Savings A/C requires further investigation.
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Danna constructs a scale model of a building with a rectangular base. Her model is 3 inches in length and 2 inches in width. The scale of the model is 1 inch = 25 feet. What is the actual area, in square feet, of the base of the building?
A 1,560
B 2,480
C 3,245
D 3,750
Answer: 3,750
Step-by-step explanation:
1 inch = 25 feet
25ft x 3 = 75. The length = 75 feet
25ft x 2 = 50. The width = 50 feet
In order to find the are we would do length time width
So therefore, 75 x 50 = 3,750
Is the rate of change of the function 5?
50
4
3
CN
-5-4-3-2-1
1 2 3 4 5 X
Yes, because y changes by 5 every time x changes by 1.
Yes, because y changes by 1 every time x changes by 5.
No because v does not change by 5 every time y changes by 1
What is the answer please help!!
The answer to the statement that the rate of change is 5 is D. No, because y does not change by 5 every time x changes by 1.
How to find the rate of change ?To determine if the rate of change of the function is 5, we need to find the difference in y-values divided by the difference in x-values:
Δy / Δx
Let's calculate the rate of change between consecutive points:
From x = -5 to x = -4:
(2 - 1) / (-4 - (-5)) = 1 / 1 = 1
From x = -4 to x = -3:
(3 - 2) / (-3 - (-4)) = 1 / 1 = 1
From x = -3 to x = -2:
(4 - 3) / (-2 - (-3)) = 1 / 1 = 1
From x = -2 to x = -1:
(5 - 4) / (-1 - (-2)) = 1 / 1 = 1
For each consecutive pair of points, the rate of change is 1, not 5.
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A number cube is rolled and the spinner is spun. Find each probability (as a fraction).
P(1 and A) =
P(odd and B) =
P(prime and D) =
Use The Picture to help find the answer.
The values of the probabilities are P(1 and A) = 1/24, P(odd and B) = 1/8 and P(Prime and D) = 1/8
Calculating the values of the probabilitiesWe can determine the probability of each event using basic probability rules.
Assuming the spinner and number cube are fair and equally likely:
P(1 and A) = P(rolling a 1) * P(spinner landing on A)P(odd and B) = P(rolling an odd number) * P(spinner landing on B)P(prime and D) = P(rolling a prime number) * P(spinner landing on D)The probability of rolling a 1 is 1/6, and the probability of the spinner landing on A is 1/4.
Therefore, P(1 and A) = (1/6) * (1/4) = 1/24.
Similarly, we have
P(odd and B) = 1/2 * 1/4 = 1/8P(Prime and D) = 1/2 * 1/4 = 1/8Read more about probabilities at
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Of the cones recently sold by an ice cream shop, 47 had pistachio ice cream and 51 had other flavors. What is the experimental probability that the next cone sold will have pistachio ice cream?
Answer: 0.48 or 48%.
Explanation: The experimental probability of an event happening is calculated by dividing the number of times the event occurred by the total number of trials.
In this case, the total number of cones sold is 47 (pistachio) + 51 (other flavors) = 98
The number of cones with pistachio ice cream is 47.
So the experimental probability of the next cone sold having pistachio ice cream is 47/98 ≈ 0.48 or 48%
Therefore, the experimental probability that the next cone sold will have pistachio ice cream is about 0.48 or 48%.
Which situation is most likely to have a constant rate of change?
OA. Distance a delivery truck travels compared with the number of
deliveries made
O B. The total amount paid for gas compared with the number of
gallons purchased.
C. Points scored in a basketball game compared with the number of
quarters played
O
D. Number of flowers in a flower bed compared with the area planted
A New York Times article reported that a survey conducted in 2014 included 36,000 adults, with 3.65% of them being regular users of e-cigarettes. Because e-cigarette use is relatively new, there is a need to obtain today's usage rate. How many adults must be surveyed now if a confidence level of 95% and a margin of error of 3 percentage points are wanted? Complete parts (a) through (c) below. a. Assume that nothing is known about the rate of e-cigarette usage among adults. n= (Round up to the nearest integer.) b. Use the results from the 2014 survey. n= (Round up to the nearest integer.) c. Does the use of the result from the 2014 survey have much of an effect on the sample size? O A. No, using the result from the 2014 survey only slightly reduces the sample size. OB. Yes, using the result from the 2014 survey only slightly increases the sample size. OC. Yes, using the result from the 2014 survey dramatically reduces the sample size. OD. No, using the result from the 2014 survey does not change the sample size.
a) At least 5,675 adults. b) When we use the results from the 2014 survey, we still need to survey at least 5,675 adults.
c) It doesn't have much of an effect on the sample size.
We are the given information
(a) To find the minimum sample size needed, we will use the formula:
n = (z² × p × (1-p)) / E²
where z is the z-score corresponding to the desired confidence level (99%), p is the estimated proportion of e-cigarette users that is 3.65% or 0.0365), and E is the 3 percentage points or 0.03.
Plugging in these values, we get,
n = (2.576² × 0.0365 × 0.9635) / 0.03²
n = 5,674.8
n = 5,675
Therefore, we need to survey at least 5,675 adults to obtain today's e-cigarette usage rate with a 99% confidence level and a margin of error of 3% points.
(b) Using the same formula as above, we get:
n = (2.576² × 0.0365 × 0.9635) / 0.03²
n = 5,674.85
n = 5,675
Therefore, even if we use the results from the 2014 survey, we still need to survey at least 5,675 adults to obtain today's e-cigarette rate with a 99% confidence level and a margin of error of 3 percentage points.
(c) The use of the results from the 2014 survey does not have much of an effect on the sample size because the desired confidence level and margin of error are constant, and the estimated proportion from the 2014 survey is relatively close to the true proportion.
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I need to know how to do this problem please
Answer: Total expenses if 3 widgets are produced is $11,018.00
Step-by-step explanation: The variable cost per unit is given by the coefficient of q in the expense function. In this case, the variable cost is $6.00 per widget. To find the variable costs to produce 2 widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for 2 widgets = 2 x $6.00 = $12.00 Therefore, the variable costs to produce 2 widgets is $12.00. To find the variable costs to produce q widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for q widgets = q x $6.00 = $6q Therefore, the variable costs to produce q widgets is $6q. To find the total expenses if 3 widgets are produced, we can use the expense function and substitute q = 3:E = 6.00 q + 11,000
E = 6.00 (3) + 11,000
E = 18.00 + 11,000
E = 11,018.00 Therefore, the total expenses if 3 widgets are produced is $11,018.00.
If you are given odds of 3 to 4 in favor of winning a bet, what is the probability of winning the bet?
The probability of winning the bet is: 3/7 or 0.43 or 43%
How to calculate the probability of winning the betThe probability of winning the bet can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
In the question, the odds are given as 3 to 4 in favor of winning, which means that there are 3 favorable outcomes out of a total of 3 + 4 = 7 possible outcomes.
Therefore, the probability of winning the bet is: 3/7 or 0.43 or 43%
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Select the correct answer. A circle with radius 5 and center A. The coordinates of the center of the circle are (-3, 12). What is the general form of the equation of the given circle with center A? A. x2 + y2 + 6x − 24y − 25 = 0 B. x2 + y2 − 6x + 24y + 128 = 0 C. x2 + y2 + 6x – 24y + 128 = 0 D. x2 + y2 + 6x − 24y + 148 = 0
you'll want to work with the center-radius form of a circle equation for this. the center formula is [tex](x - h)^2 + (y - k)^2 = r^2[/tex], where [tex](h, k)[/tex] is your center and r is your radius. plug in the information your circle gives you: [tex]A(-3, 12)[/tex], [tex]\text{radius} = 5[/tex]
[tex](x + 3)^2 + (y - 12)^2 = (5)^2[/tex] ... simplify the right side
[tex](x + 3)^2 + (y - 12)^2 = 25[/tex] ... from here, you need to foil both of your binomials to convert this to the "general form" that your answer choices are in.
[tex](x + 3)^2 = (x + 3)(x + 3) = x^2 + 6x + 9[/tex]
[tex](y - 12)^2 = (y - 12)(y - 12) = y^2 - 24y + 144[/tex]
[tex]x^2 + 6x + 9 + y^2 - 24y + 144 = 25[/tex] ... combine like terms
[tex]x^2 + 6x + y^2 - 24y + 153 = 25[/tex] ... subtract 25
[tex]x^2 + 6x + y^2- 24y + 128 = 0[/tex] is your equation. reorder it so that it's from the highest degree to the lowest:
[tex]\boxed{\bold{x^2 + y^2 + 6x - 24y + 128 = 0}}[/tex]
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.
If a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.
Answer:
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.
Step-by-step explanation:
a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.
Hypotenuse = 14.5 meters
Opposite side-6.3 meters
0= ?
Here is a data set summarized as a stem-and-leaf plot: 6# | 12344469 7# | 01134556667899 8# | 07889 9# | 038 How many data values are in this data set? How many of the original values are greater than 80? Answer =
There are a total of 1 + 3 = 4 original values that are greater than 80.
What is data set?A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable.
We can count the number of data values in the data set by looking at the stem-and-leaf plot. There are:
3 data values that start with 614 data values that start with 75 data values that start with 82 data values that start with 9So, there are a total of 3 + 14 + 5 + 2 = 24 data values in the data set.
To find how many of the original values are greater than 80, we need to look at the last stem (9#) and the stem before that (8#). We can see that there are:
1 original value in the 9# stem that is greater than 80 (it is 89)3 original values in the 8# stem that are greater than 80 (they are 78, 88, and 89)So, there are a total of 1 + 3 = 4 original values that are greater than 80.
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Its fine if you explain it just please specify A, B, C or D
Answer: True
Step-by-step explanation:
What does kcf stand for in math?
Answer:
keep-flip-change
Step-by-step explanation:
This means that you keep the first fraction as it is, flip the second fraction, and change the problem to a multiplication problem.
Answer:
keep-flip-change
Step-by-step explanation:
This means that you keep the first fraction as it is, flip the second fraction, and change the problem to a multiplication problem.
Paige makes circular clocks with a metal rim and a glass pane. Due to a supply shortage, Paige needs to limit the amount of metal rims used in making the clocks. The circumference of a clock must be 34 inches or less. For a new order purchase, Paige must make clocks with an area 100 inches or larger. On the number line, graph the possible radii of the clocks that Paige needs to make given the limits.
Any value of r between 10/√π and 17/π will satisfy both limits and be a possible radius for the clocks that Paige needs to make.
We have,
To solve this problem, we need to use two formulas related to circles:
Circumference of a circle = 2πr, where r is the radius of the circle
Area of a circle = πr², where r is the radius of the circle
We know that the circumference of a clock must be 34 inches or less, so we can set up the inequality:
2πr ≤ 34
Simplifying, we get:
r ≤ 17/π
We also know that the area of a clock must be 100 inches or larger, so we can set up the inequality:
πr² ≥ 100
Simplifying, we get:
r² ≥ 100/π
Taking the square root of both sides, we get:
r ≥ 10/√π
On the number line, we can plot the two limits:
<------[10/√π)----------------(17/π]------->
Thus,
Any value of r between 10/√π and 17/π will satisfy both limits and be a possible radius for the clocks that Paige needs to make.
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The probability that a visitor's first ride at a
theme park will be the roundabout or the
pirate ship is 20% +0.42
Work out this probability as a decimal.
Answer:
Step-by-step explanation:
To calculate the probability that a visitor's first ride at a theme park will be either the roundabout or the pirate ship, we add 20% and 0.42. To convert 20% to a decimal, we divide it by 100, which gives us 0.20. Adding this to 0.42 gives us a total probability of 0.62. Therefore, there is a 62% chance that a visitor's first ride at the theme park will be either the roundabout or the pirate ship. It's important to note that the probability of each ride individually is not provided, so we cannot determine the likelihood of a visitor riding each ride separately.
The probability in terms of decimal will be 0.62 .
Given,
The probability that a visitor's first ride at a theme park will be the roundabout or the pirate ship is 20% +0.42 .
Here,
To calculate the probability that a visitor's first ride at a theme park will be either the roundabout or the pirate ship, we add 20% and 0.42.
To convert 20% to a decimal, we divide it by 100, which gives us 0.20.
Adding this to 0.42 gives us a total probability of 0.62.
Therefore, there is a 62% chance that a visitor's first ride at the theme park will be either the roundabout or the pirate ship.
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Find the distance between the pair of points.
(6,9) and (18,14)
5x+3=6x+12 find measure of angle 2
The measure of angle 2 is determined as 78 degrees.
What is the measure of angle 2?To find the measure of angle 2, we need to find the value of x.
let angle 1 = 5x + 3
let angle 2 = 6x - 12
To find the value of x in the equation 5x + 3 = 6x - 12, we can follow these steps:
Step 1: Subtract 5x from both sides of the equation to isolate the x term on one side.
5x + 3 - 5x = 6x - 12 - 5x
This simplifies to:
3 = x - 12
Step 2: Add 12 to both sides of the equation to isolate the x term on one side.
3 + 12 = x - 12 + 12
This simplifies to:
15 = x
So, the value of x in the given equation is 15.
The measure of angle 2 = 5x + 3
= 5(15) + 3
= 78
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The width of a rectangle is x cm. The length of the
x + 5
rectangle is (x + 5) cm.
Find an expression, in
terms of x, for the
perimeter of the rectangle.
Give your answer in its
simplest form.
X
Answer:
(4x + 10) cm
Step-by-step explanation:
Given:
A rectangle
l (length) = (x + 5) cm
w (width) = x cm
Find: P (perimeter) - ?
The perimeter is the sum of all side lengths (there are 2 sides of width x and 2 sides of length (x + 5)):
P = 2x + 2(x + 5) = 2x + 2x + 10 = 4x + 10
#15 A Three events are given. Order (click and drag) the three events from lowest probability to highest. Heads occurs at least twice when a fair coin is tossed three times. B A fair number cube with faces numbered 1 through 6 is rolled once. The result is divisible by 3. C A pair of fair number cubes with faces numbered 1 through 6 is rolled once. The result is a sum of 6.
From lowest to highest probability:
B. A fair number cube with faces numbered 1 through 6 is rolled once. The result is divisible by 3.
C. A pair of fair number cubes with faces numbered 1 through 6 is rolled once. The result is a sum of 6.
A. Heads occurs at least twice when a fair coin is tossed three times.
What is its explanation?For event B, there are two numbers on the cube that are divisible by 3: 3 and 6. Therefore, the probability of rolling a number that is divisible by 3 is 2/6 or 1/3, which is lower than the probabilities of events C and A.
For event C, there are five ways to obtain a sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1), out of a total of 6 x 6 = 36 possible outcomes. Therefore, the probability of rolling a sum of 6 with two number cubes is 5/36, which is higher than the probability of event B, but lower than the probability of event A.
For event A, the only way to not get at least two heads in three coin tosses is to get all tails, which has a probability of [tex](1/2)^{3}[/tex] = 1/8. Therefore, the probability of getting at least two heads is 1 - 1/8 = 7/8, which is the highest probability among the three events.
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three events are given. give the 3 events from liwest probability. to highest. A. heads occurs at least twice when a fair coin is tossed three times. B. A fair number cube with faces q through 6 is rolled once. The result is divisible by 3. C. A pair of fair number cubes with faces numbered 1 through 6 is rolled once. The result is a sum of 6.
Answer:C
Step-by-step explanation:
Given the function g(x) = -5x + 2 and h(x) = x2 – 1. Find h(3)
your answer for h(x)=x2-1 will be 5 the photo will demonstrate how it is solved
