Answer:
Step-by-step explanation:
To find g(4), we substitute x = 4 into the expression for g(x):
g(4) = -3(4) - 4 = -12 - 4 = -16
To find g(4) + 8, we add 8 to the value we just found for g(4):
g(4) + 8 = -16 + 8 = -8
Therefore, g(4) + 8 = -8.
a bag contains 13 balls numbered 1 through 13. what is the probability of selecting a ball that has an even number?
The probability of selecting a ball that has an even number from a bag containing 13 balls numbered 1 through 13 is 6/13 or approximately 0.4615. This is because out of the 13 balls, 6 of them have even numbers.
To calculate the probability, we use the formula:
Probability = Number of Favorable Outcomes / Total Number of Outcomes
In this case, the favorable outcomes would be the number of even numbers, which is 6. The total number of outcomes would be 13 (the total number of balls in the bag). Therefore, the probability of selecting a ball that has an even number is 6/13.
Another way to look at this is to think of the probability as the ratio of favorable outcomes to total possible outcomes. In this case, the ratio is 6:13, which can be simplified to 3:6 or 1:2. Since one out of every two outcomes is favorable, the probability is 0.5, which is the same as 6/13.
To further understand the concept of probability, consider the example of a fair coin. If a fair coin is flipped, the probability of getting either heads or tails is 50%. This is because the ratio of favorable outcomes (one head and one tail) to total possible outcomes (two heads and two tails) is 1:2.
In conclusion, the probability of selecting a ball that has an even number from a bag containing 13 balls numbered 1 through 13 is 6/13 or approximately 0.4615.
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Describe two different ways to obtain the image below.
The given image is trapezoid and to obtain the image there are two different ways: 1. Plotting the points 2. Transformations
What is trapezoid?
In geometry, a trapezoid is a four-sided polygon that has at least one pair of parallel sides. The parallel sides of a trapezoid are called bases, while the non-parallel sides are called legs.
The image below appears to be a trapezoid with vertices at A(2,2), B(4,5), C(6,5), and D(8,2). There are several ways to obtain this image, but here are two possible methods:
Method 1: Plotting the Points
One way to obtain the image is to plot the points A, B, C, and D on a coordinate plane, and then connect them in the correct order to form the trapezoid. Here are the steps:
Draw a coordinate plane with x and y axes.
Plot the point A at (2,2).
Plot the point B at (4,5).
Plot the point C at (6,5).
Plot the point D at (8,2).
Connect the points A, B, C, and D in the order ABDC to form the trapezoid.
Method 2: Transformations
Another way to obtain the image is to start with a reference trapezoid with known vertices, and then apply a sequence of transformations to obtain the desired trapezoid. Here are the steps:
Start with a reference trapezoid with vertices at (0,0), (2,3), (4,3), and (6,0). This trapezoid has the same shape as the desired trapezoid, but is located in a different position on the coordinate plane.
Translate the reference trapezoid 2 units to the right and 2 units up by adding (2,2) to each vertex. This results in a trapezoid with vertices at (2,2), (4,5), (6,5), and (8,2), which is the desired trapezoid.
(Optional) Rotate or reflect the trapezoid as desired to obtain different orientations or symmetries.
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fatima is 1.27m tall. charlotte is 0.89m tall lila is taller than charlotte by half the difference betweem fatimas height and charlottes height. how tall in meters is lila?
Lila's height is 0.89 + 0.19 = 1.08m.
What is height ?
Height typically refers to the measurement of an object or person from the base to the top, usually measured vertically. It is often used in reference to the physical dimension of a person or object, such as the height of a building, tree, or individual.
According to the question:
In the context of the given problem, height refers to the height of Fatima, Charlotte, and Lila.
Fatima is 1.27 meters tall, Charlotte is 0.89 meters tall, and Lila is taller than Charlotte by half the difference between Fatima's height and Charlotte's height.
The difference between Fatima's height and Charlotte's height is 1.27 - 0.89 = 0.38m.
Half of that difference is 0.38/2 = 0.19m.
So, Lila is taller than Charlotte by 0.19m.
Therefore, Lila's height is 0.89 + 0.19 = 1.08m.
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1. use the quadratic equation to find the exact solutions to this equation, and simplify your answer: 2x^2 6x 12
As per the given statement, the quadratic equation is to be used to find the exact solutions to this equation, and the quadratic equation is given by [tex]ax² + bx + c = 0[/tex].
To solve the quadratic equation, we can use the quadratic formula given by[tex]x = (-b ± sqrt(b² - 4ac)) / 2a[/tex] Where x is the variable, a, b, and c are coefficients with a ≠ 0, and sqrt is the square root symbol.To find the exact solutions to this equation, we can use the quadratic formula with a = 2, b = 6, and c = 12.
Substituting these values in the quadratic formula, we get
[tex]x = (-6 ± sqrt(6² - 4 × 2 × 12)) / 2 × 2= (-6 ± sqrt(36 - 96)) / 4= (-6 ± sqrt(-60)) / 4= (-6 ± i√60) / 4= (-3 ± i√15) / 2[/tex]
Hence, the exact solutions to the given equation are [tex](-3 + i√15) / 2 and (-3 - i√15) / 2.[/tex]
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.. Sasha Abbott earns $62,550.00 in taxable income each year. The tax rate is 3.6%, and she takes zero deductions. How much tax does her employer withhold each year? A $2,380.50 B $2,251.80 C $2,500.40 D $1,823.20
Answer: B $2,251.80
Step-by-step explanation:
:)
a child-care center has 200 feet of fencing to enclose two adjacent rectangular safe play areas (of equal size). find the dimensions that will produce the maximum enclosed area. 5
The dimensions that will produce the maximum enclosed area for two adjacent rectangular safe play areas of equal size with 200 feet of fencing is 100 feet by 100 feet.
To solve this problem, use the area of a rectangle formula A = lw, where l is the length and w is the width.
Since the two play areas must be of equal size, let's call the length and width l and w, respectively.
We know that the total length of fencing is 200 feet, so l + w = 200 feet.
We can then solve for l by rearranging the equation as l = 200 - w.
We then substitute this into the area equation to get A = (200 - w)w.
To maximize the area, differentiate this equation to get A' = w - 200.
Set this to 0 and solve for w to get w = 100. Since l + w = 200, l = 100 as well.
Therefore, the maximum enclosed area is produced by dimensions of l = 100 feet and w = 100 feet.
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the average of 8 numbers is 14. the average of 6 of those numbers is 12. what is the average of the other two numbers?
The average of the other two numbers is 16.
This is because the average of 8 numbers is 14, and the average of 6 of those numbers is 12. Therefore, to find the average of the remaining two numbers, you need to find the difference between the average of 8 and the average of 6.
The difference between 14 and 12 is 2. Therefore, if the average of 6 is 12, the average of the remaining two numbers must be 12 + 2 = 16.
To solve this question, you need to use the fact that the average of 8 numbers is 14, and the average of 6 of those numbers is 12. The average of 8 numbers is the sum of all 8 numbers divided by 8. Therefore, if the average of 8 numbers is 14, the sum of all 8 numbers must be 14x8 = 112.
Similarly, the average of 6 numbers is 12, so the sum of those 6 numbers must be 12x6 = 72. The difference between these two sums is 112-72 = 40. This is the sum of the remaining two numbers.
Therefore, if the sum of the remaining two numbers is 40, then the average of the remaining two numbers must be 40/2 = 20.
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Determine the surface area of the cylinder. (Use π = 3. 14)
net of a cylinder where radius of base is labeled 5 inches and a rectangle with a height labeled 4 inches
157 in2
219. 8 in2
282. 6 in2
314 in2
The surface area of the cylinder with radius 5 inches and rectangle with height 4 inches is equal to 282.6 square inches.
Radius of the base = 5 inches
Height of the rectangle = 4 inches
Surface area of a cylinder
= area of the top and bottom circular faces + the area of the curved surface.
Here,
Rectangle represents the curved surface of the cylinder, with a height of 4 inches and a length equal to the circumference of the base.
Circumference of the base is equal to,
Circumference
= 2πr
= 2 x 3.14 x 5
= 31.4 inches (approx.)
Area of the curved surface of the cylinder is ,
Curved surface area
= Length x Height
= 31.4 inches x 4 inches
= 125.6 square inches
Area of each circular face of the cylinder is ,
Circular face area
= πr²
= 3.14 x 5²
= 78.5 square inches
Substitute the value to get total surface area of the cylinder we have,
Total surface area of the cylinder
= 2 x Circular face area + Curved surface area
= 2 x 78.5 square inches + 125.6 square inches
= 282.6 square inches (approx.)
Therefore, the surface area of the cylinder is approximately equal to 282.6 square inches.
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5. the number of people arriving for treatment at an emergency room can be modeled by a poisson process with a mean of 5 people per hour. how many people do you expect to arrive during a 45-min period?
If the number of people arriving for treatment at an emergency room is modeled by a Poisson process with a mean of 5 people per hour, we can use this information to estimate the expected number of people who will arrive during a 45-minute period.
The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time, given the average rate at which the events occur. In this case, the Poisson distribution can be used to estimate the number of people who will arrive during a 45-minute period, given that the mean arrival rate is 5 people per hour.
To calculate the expected number of arrivals, we first need to convert the 45-minute time period into hours. There are 60 minutes in an hour, so 45 minutes is equivalent to 0.75 hours.
Next, we can use the Poisson distribution formula, which is:
P(X = k) = (e^(-λ) * λ^k) / k!
where λ is the mean arrival rate (in this case, 5 people per hour), k is the number of arrivals we are interested in, and e is Euler's number (approximately 2.71828).
Expected number of arrivals = λ * t = 5 * 0.75 = 3.75
Therefore, we can expect approximately 3.75 people to arrive for treatment during a 45-minute period, assuming that the number of arrivals follows a Poisson distribution with a mean of 5 people per hour.
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Line segment AB in the coordinate plane has endpoints with coordinates A (1,5) and B (9,17). Which of the following is true?
The correct option- The perpendicular bisector of AB has the slope -1/3.
Explain about the slope of line?The difference between the change in y-values and the change in x-values is known as the slope of a line. This figure represents the slope of a line.
A quantity called the slope of a line is used to quantify how steep a line is. This number may be zero, positive, or negative. Moreover, it may be unreasonable or rational.Any two lines with the same slope are said to be parallel. When a line is rotated 90 degrees, it becomes perpendicular and becomes parallel. Four 90 degree angles result from the intersection of two perpendicular lines.Formula for slope m = (y2 - y1)/(x2 - x1)
Line segment AB coordinates :
A (1,5) and B (9,17).
Slope m1 = (17 - 5)/(9 - 5)
m1 = 12/4
m1 = 3
The line perpendicular to AB.
Let the slope of m2.
The relation between the slopes of perpendicular lines:
m1 x m2 = -1
3 x m2 = -1
m2 = -1/3.
Thus, the slope of the line perpendicular to the given line AB is found as: -1/3.
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Complete question:
AB in the coordinate plane has endpoints with coordinates A (1,5) and B (9,17). Which of the following is true?
The perpendicular bisector of AB has slope 3/2.
The perpendicular bisector of AB has slope -2/3.
The perpendicular bisector of AB has slope -2/3.
The perpendicular bisector of AB has slope -1/3.
Which of the following is a point of tangency on the circle below?
A. Point Y
B. Point Z
C. Point W
D. Point X
Based on the diagram, the point of tangency is Point Z. Therefore, the answer is B.
What is point of tangency?A point of tangency is a point at which a straight line, called a tangent line, touches a curve or a circle at only one point.
At the point of tangency, the tangent line is perpendicular to the radius of the circle that intersects the point of tangency.
The point of tangency is the point where a tangent line to the circle touches the circle at only one point.
In the given diagram, the line segment XZ appears to be a tangent to the circle.
Therefore, the point of tangency is the point where the line segment XZ touches the circle.
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. In which step does a mistake first occur?
(24+3 + 10)-14 + 2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4 +2
Step 4: 2
NEED HELP ASAP !!
TY
Answer:
The first one...............
Which system of inequalities has the solution shown in the graph?
Factorise p²q-pr²-pq+r²
3 2/5 -1 3/5!!
Please i need help!
Answer:
Step-by-step explanation:
3 2/5 -1 3/5 = 1.8
Jarvis and his family are at the dine-in movies and wish to purchase some popcom. A large popcom costs $18 and a small popcom costs $12. Jarvis offered to pay for the popcom with $50 in his wallet.
Create an inequality in standard form that describes this situation.
Use the given numbers and the following variables.
• x = the number of large popcoms
• y = the number of small popcorn
Answer:
18x + 12y ≤ 50
Step-by-step explanation:
Let x be the number of large popcoms and y be the number of small popcoms.
The cost of a large popcom is $18, and the cost of a small popcom is $12. The total cost of purchasing x large popcoms and y small popcoms is given by:
Total cost = 18x + 12y
The problem states that Jarvis has $50 in his wallet to pay for the popcoms. Therefore, we can write the following inequality:
18x + 12y ≤ 50
This inequality represents the situation where Jarvis and his family want to purchase popcoms, and Jarvis has $50 to spend. The inequality ensures that the total cost of the popcoms does not exceed $50.
there is a group of five children, where two of the children are twins. in how many ways can i distribute $8$ identical pieces of candy to the children, if the twins must get an equal amount of candy?
There are 1960 different ways to distribute 8 identical pieces of candy to the five children, where the twins get an equal amount of candy.
First, distribute the candy to the twins.
Split the 8 pieces of candy into two equal parts for the twins using combinations:
C(8, 4)
This means selecting 4 pieces of candy from the 8 identical pieces for one twin, and the remaining 4 pieces will automatically go to the other twin.
C(8, 4) is calculated as:
[tex]^8C_4 = \dfrac{8!}{4!(8-4)!}[/tex]
= 8! / (4! * 4!)
= (8 * 7 * 6 * 5) / (4 * 3 * 2 * 1)
= 70
Now, you have distributed 4 pieces of candy to each of the twins. Y
In this case, you have 6 pieces of candy to distribute among 3 children, and you can use two dividers (bars) to separate the candy for each child.
This can be represented as:
OO|OO|OO
The two bars split the 6 pieces of candy into three sections for the three children.
So, you have C(6 + 2, 2) ways to distribute the remaining candy:
[tex]^{6+2}C_2 = \dfrac{8!}{2!(8-2)!}[/tex]
= 8! / (2!(8 - 2)!)
= 8! / (2! * 6!)
= (8 * 7) / (2 * 1)
= 28
Now, the total number of ways to distribute the candy
Total ways = C(8, 4) * C(8, 2) = 70 * 28 = 1960
So, there are 1960 different ways to distribute.
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An aquarium tank holds 190 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3. 8 liters. What is the Answer?
The aquarium tank that holds 190 liters of water equals to 50.15 gallons. Therefore, the answer to the given problem is 50.15 gallons.
Conversion factors are the ratios that describe the numerical relationship between two units of measurement.
The conversion factor of liters to gallons is 1 gallon is 3.8 liters.
Therefore, by multiplying the given value of liters by the conversion factor of liters to gallons, we can convert liters to gallons.
190 liters x 1 gallon/3.8 liters = 50.15 gallons
Thus, the aquarium tank that holds 190 liters of water equals to 50.15 gallons.
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please help!! I need this by the end of tonight..!
Answer:
y=2.05x
Step-by-step explanation:
Figure out what the total cost is for 1 of them then you put that in as your M value, then X stands for number of sheets so 2.05 multiplied by the number of sheets sold you get your Y which is the total cost in dollars for x sheets.
A scientist measures the amount of water collected in a tub at different times during the day. The table shows the time the water had been running and the amount of water in the tub.
Based on the information in the table, write an equation that can be used to find t, the number of minutes it took to collect w liters of water in the tub.
As a result, the following equation can be used to determine t, or how many minutes it took to fill the tub with w liters of water: t = (w - 0.2) / 0.4
what is slope ?Slope is a unit used to describe how steep or slope a line is. The ratio of the vertical change (rise) to the horizontal change (run) between any two locations on the line is what is referred to as the slope. In other words, the slope of the line going through the two points (x1, y1) and (x2, y2), which are on a line, is given by: Slope is equal to y2 - y1 / x2 - x1. Positive, negative, zero, or undefinable slopes are all possible.
given
With the slope and y-intercept in hand, we can now write the line's equation:
y = 0.4x + 0.2
Given a value for y, we wish to find a solution to this equation for x. In this instance, we're looking for t, or how many minutes it took to fill the tub with w liters of water. We can solve for x by substituting w for y:
w = 0.4t + 0.2
0.4t = w - 0.2
t = (w - 0.2) / 0.4
As a result, the following equation can be used to determine t, or how many minutes it took to fill the tub with w liters of water: t = (w - 0.2) / 0.4.
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when is welch's t-test used to compare two population means, and what distributional assumptions are needed?
Welch's t-test is a modified version of the t-test for independent means. Welch's t-test is an important statistical test that compares the mean of two groups that have different variances and is utilized when the assumptions of the t-test for independent means are violated.
However, unlike the standard t-test for independent means, Welch's t-test does not rely on the assumption that the variances of the two groups are equal. Instead, Welch's t-test relies on a more flexible assumption, that is, the assumption of unequal variances.
Welch's t-test's basic assumptions include the following:Independent samples: The sample sizes should be equal or almost equal in size. Normality: The two groups must have normally distributed populations. Even though Welch's t-test is more flexible than the standard t-test for independent means, the test is most accurate when the distributional assumptions are met.
It should be remembered that it is more conservative when the distributional assumptions are violated.
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the gallup poll surveyed a representative sample of american adults and offered a list of seven personal economic problems that many people face. what are the top financial concerns that people have?
According to a histogram that displays the percentage of replies over time, an April Gallup poll indicated that 55% of Americans think autonomous cars would be widely used in the next ten years.
Whether completely automated "driverless automobiles" would be widely deployed in the United States was the subject of a Gallup Poll conducted in April, which polled Americans ages 18 and older.
How soon, in your opinion, do you believe autonomous cars will be widely used in the US? According to the survey, 55% of Americans think autonomous cars will become commonplace over the next ten years.
The survey's results were displayed as a histogram, displaying the proportion of replies at various time intervals. This indicates how many respondents indicated that driverless cars will be widely utilised within a particular time period (e.g., within 5 years, within 10 years, etc.).
This survey reveals how people feel about autonomous cars in the future and how soon they believe they will be a common sight on the roads.
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The question is -
A Gallup Poll utilizing a random sample of adults ages or older was conducted in April. The survey indicated a majority of Americans () say driverless cars will be common in the next years (). The question asked was: Thinking about fully automated, "driverless cars," cars that use technology to drive and do not need a human driver, based on what you have heard or read, how soon do you think driverless cars will be commonly used in the [United States]? The figure below shows a summary of the results of the survey in a histogram indicating the percentage of the total responses in different time intervals.
Suppose the central perk coffee shop sells a cup of espresso for two dollars in a cup of cappuccino for $2. 50 on Friday. Destiny sold 30 more cups of cappuccino then espresso for a total of $178. 50 worth of espresso and cappuccino how many cups of each month old
Destiny sold 23 cups of espresso and 53 cups of cappuccino on Friday, for a total sales amount of $178.50.
Let's start by defining our variables. Let x be the number of cups of espresso sold and y be the number of cups of cappuccino sold. We know that the price of espresso is $2 per cup and the price of cappuccino is $2.50 per cup. We also know that Destiny sold 30 more cups of cappuccino than espresso and the total sales amount was $178.50.
Using this information, we can create a system of equations to solve for x and y. The first equation comes from the fact that Destiny sold 30 more cups of cappuccino than espresso:
y = x + 30
The second equation comes from the total sales amount:
2x + 2.5y = 178.5
Now we can substitute the first equation into the second equation and solve for x:
2x + 2.5(x + 30) = 178.5
2x + 2.5x + 75 = 178.5
4.5x = 103.5
x = 23
So Destiny sold 23 cups of espresso. Using the first equation, we can find that she sold 53 cups of cappuccino:
y = x + 30
y = 23 + 30
y = 53
Therefore, Destiny sold 23 cups of espresso and 53 cups of cappuccino on Friday, for a total sales amount of $178.50.
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Annabelle works in a deli and has been tracking the daily sales of different items over several months. Annabelle found that when there was an increase in the number of cups of hot chocolate sold, the number of cups of coffee sold also increased. Similarly, when there was a decrease in the number of cups of hot chocolate sold, the number of cups of coffee also decreased.
Which of the following is a valid conclusion?
A.
There is no correlation between the sale of hot chocolate and the sale of coffee.
B.
The increase in the sale of hot chocolate caused an increase in the sale of coffee.
C.
The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee.
D.
No conclusion can be drawn about the correlation or causation of the sale of hot chocolate and the sale of coffee.
Option C is the correct answer. The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee.
What is correlation?
Correlation is a statistical measure that shows how closely two or more variables are linked to one another. It is a measurement of the strength and direction of the linear connection between two variables, in other words.
Based on the information provided, it can be concluded that there is a correlation between the sale of hot chocolate and the sale of coffee.
Option A can't be considered because it conflicts with the material provided.
Option B indicates a causal relationship that cannot be proven merely on the basis of the observed correlation between the sales of hot chocolate and coffee.
Option D is untrue as well because a correlation has been found.
Therefore, option C is the valid conclusion that can be drawn from the given information, stating that the increase in the sale of hot chocolate is correlated to, but not necessarily caused by, the sale of coffee.
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a number is five times a smaller number. find the larger number of their difference is 52
The larger number if the difference of the numbers is 52 is 65.
How to find the larger number?A number is five times a smaller number. Let's find the larger number when their difference is 52.
Therefore,
let
x = smaller number
larger number = 5x
There difference is 52. Hence,
5x - x = 52
4x = 52
divide both sides of the equation by 4
x = 52 / 4
x = 13
Therefore,
larger number = 5(13) = 65
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where is the water table in a swamp? group of answer choices well below the surface. at the surface. well above the surface. generally, 2 miles below the surface.
Generally, the water table in a swamp is located 2 miles below the surface.
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studies have shown that bats can consume an average of 10 mosquitoes per minute. what is the probability that a bat does not consume any mosquitoes in a 30-second interval?
The probability that a bat does not consume any mosquitoes in a 30-second interval is 0.0067379 or 0.67%.
In this case, the average rate of mosquitoes consumed by a bat is 10 per minute.
To find the rate for a 30-second interval, calculate the rate for 1 minute and then adjust it for the 30-second interval:
Average rate for 1 minute = 10 mosquitoes
Rate for 30 seconds = [tex]\dfrac{10 \,mosquitoes}{1 \,minute} \times \dfrac{1}{2}[/tex]
= 5 mosquitoes
The Poisson distribution probability mass function is given by:
[tex]\[ P(X = k) = \dfrac{e^{-\lambda} \cdot \lambda^k}{k!} \][/tex]
Where:
[tex]\(\lambda\)[/tex] is the average rate of events.
In this case, to find the probability that k = 0.
So, let's plug in the values:
[tex]\(\lambda = 5\)[/tex]
[tex]\(k = 0\)[/tex], back to the formula as
[tex]\[ P(X = 0) = \dfrac{e^{-5} \cdot 5^0}{0!} \][/tex]
Calculating the probability as
[tex]\[ P(X = 0) = e^{-5}[/tex]
[tex]= 0.0067379[/tex]
Therefore, the probability is 0.0067379 or 0.67%.
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Shakita buys an apple tree and a cherry tree and measures them at the end of every
year for 5 years. After 1 year, the apple tree is 14 feet tall. After 5 years, it is 22 feet
tall. The cherry tree's height is represented by y = 3x + 8.
If both trees grew at a constant rate, which tree was taller when they were planted,
and which grew more quickly?
OA. The cherry tree was taller when the trees were planted, and it also grew
more quickly.
OB. The apple tree was taller when they were planted, but the cherry tree
grew more quickly.
OC. The cherry tree was taller when the trees were planted, but the apple tree
grew more quickly.
D. The apple tree was taller when the trees were planted, and it also grew
more quickly.
PRE
< PREVIOUS
2 of 2
Answer: B
Step-by-step explanation:
because I did it and it was right lol
Answer these for points
6. f(x)g(x)+h(x) = 20x3-4x. This answer is arrived at by using the rules of algebra and the values of the given functions.
7. f(x)g(x) = -15x2 - 18x - 15
What are polynomials?Polynomials are algebraic expressions consisting of variables and coefficients that are combined through addition, subtraction, multiplication and division operations. For example, the polynomial 4x² + 3x - 5 can be written as the sum of 4x², 3x and -5.
6. In order to calculate f(x) g(x)+h(x), it is necessary to first multiply f(x) and g(x). Since f(x)=4x and g(x) = 5x2-4, it follows that f(x)g(x)=20x3-4x. Next, it is necessary to add h(x) to this product. Since h(x) = 9x, it follows that f(x)g(x)+h(x) = 20x3-4x+9x = 20x3-4x. Since each coefficient is correctly represented in the answer, it follows that the correct answer is 20x3-4x.
Multiplying f(x) and g(x) gives the product of 20x3-4x, and adding h(x) to this product gives the sum of 20x3-4x. As each coefficient is correctly represented in the answer, the correct answer is 20x3-4x.
7. The product of two polynomials is found by multiplying each term of one polynomial by each term of the other polynomial. This is known as the FOIL method (First, Outer, Inner, Last).
The first term is the product of the first terms of each polynomial, which is 3x x 4x = 12x2.
The second term is the product of the outer terms, which is 3x x -5x = -15x2.
The third term is the product of the inner terms, which is 5 x -5x = -25x.
Finally, the fourth term is the product of the last terms of each polynomial, which is 5 x -3 = -15.
We can now combine the terms to get the product of the two polynomials, which is:
f(x)g(x) = -15x2 - 18x - 15.
Therefore, the correct coefficient for each term is -15x2 for the first term, -18x for the second term, and -15 for the third term.
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the slope of a street is 0.54. if it covers 28m of horizontal distance, what is the rise of the street?
Answer: i believe its 15.12
Step-by-step explanation: