When s and t are functions, the expression for (s + t) (x) is s(x) - t(x), and the result of (s-t)(-1) is -2.
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. Example. A function is a type of rule that produces one output for one input. Alex Federspiel provided the image. y=x2 is an example of this. If you enter anything for x, you will only get one output for y. Because x represents the input value, we may say that y is a function of x.
Here,
Given the functions s(x) = 5 and t(x) = 3, we can find the expressions for (s + t)(x) and (s - t)(x) as follows:
(s + t)(x) = s(x) + t(x) = 5 + 3 = 8
(s - t)(x) = s(x) - t(x) = 5 - 3 = 2
To evaluate (s - t)(-1), we simply plug in -1 for x in the expression for (s - t)(x):
(s - t)(-1) = 2
So, (s - t)(-1) = 2.
The expressions for (s + t) (x) is s(x) - t(x) and value of (s-t)(-1) is -2 when s ad t are functions.
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a heated election is coming up where people will select the all-time favorite cartoon. we take a poll before the election to see how the race is shaping up. according to this poll, 34% of the people say they will vote for bugs bunny and 26% say they will vote for baby shark. the poll has an error of /- 6%. based on this result, can one say that in the population, more people clearly support bugs bunny over baby shark?
No, as the confidence intervals for the two groups overlap.
From the given data,
The poll has an error of 34% of the people say they will vote for Bugs Bunny
The confidence interval for the percentage of people supporting Bugs Bunny is⇒(34 ± 6)% ≈ 28% to 40%
⇒26% say they will vote for Baby Shark.
The confidence interval for the percentage of people supporting Baby Shark is
⇒(26 ± 6)% ≈ 20% to 32%
No, it is not possible to say with certainty that more people in the population support Bugs Bunny over Baby Shark based on this poll.
The poll only provides an estimate of the percentage of people who say they will vote for each cartoon, and has a margin of error of ±6%. This means that the true percentage of people who will vote for Bugs Bunny or Baby Shark in the population could be as much as 6% higher or lower than the results from the poll.Since the confidence intervals for the two groups overlap , we cannot say that in population, more people clearly support Bugs Bunny over Baby Shark.
Hence, the correct answer is: no, as the confidence intervals for the two groups overlap.
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A family wants to make an addition to a deck that extends off the back of their home. The current deck is 200 ft2. The addition will be 20.25 ft in length and 18 ft wide. What will be the total area of the deck once the addition is complete?
161.75 ft2
238.25 ft2
364.5 ft2
564.5 ft2
The total area of this rectangular deck is equal to: D. 564.5 ft².
How to calculate the total area of this deck?Mathematically, the area of a rectangular deck can be calculated by using this mathematical expression:
Area of a rectangular deck, A = LW
Where:
A represents the area of a rectangle.W represents the width of a rectangle.L represents the length of a rectangle.Therefore, the area of the additional dimension can be calculated as follows;
Area of additional dimension, A = 20.25 × 18
Area of additional dimension, A = 364.5 ft².
Now, we can calculate the total area of this deck as follows;
Total area = original area + new area
Total area = 200 ft² + 364.5 ft²
Total area = 564.5 ft²
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Answer:
d
Step-by-step explanation:
Mr and Mrs Tan and their three children bought tickets for a 'Holiday- On-Ice' show. An adult's ticket cost twice as much as a child's ticket. If they spent $87.50 in all, how much did each type of ticket cost?
A child's ticket cost is $12.50 and an adult's ticket cost $25.00.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Mr and Mrs Tan and their three children bought tickets for a 'Holiday- On-Ice' show.
Let x be the cost of a child's ticket, 2x be the cost of adult's ticket
The cost of all three children's tickets would be 3x and total cost of Mr. and Mrs. Tan's tickets would be 4x
So the total cost of all five tickets would be 3x + 4x = 7x.
We know that the total cost was $87.50
7x = 87.50
Divide both sides by 7
x = 87.50 / 7
x=12.50
Hence, a child's ticket cost is $12.50 and an adult's ticket cost $25.00.
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1) There are 6 roses, 8 carnations, and 12 tulips.
Write the ratio of carnations to all flowers in all
three forms (simplify first, then write in all three
forms).
Ratio of carnations to all flowers
= 4/13 or 4:13 or 4 carnations to 13 flowers.
What is ratio?A ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one.
Given,
There are 6 roses 8 carnations and 12 tulips
Total flowers = 6 + 8 + 12 = 26
Ratio of carnations to all flowers
= 8/26
= 4/13
or 4:13
or 4 carnations to 13 flowers.
Hence,
4/13 or 4:13 or 4 carnations to 13 flowers
is the ratio of carnations to all flowers.
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A hockey player ran a simulation twice to estimate the proportion of wins to expect using a new game strategy. Each time, the simulation ran a trial of 1,000 games. The first simulation returned 590 wins, and the second simulation returned 640 wins. Construct and interpret 95% confidence intervals for the outcomes of each simulation.
---------------
A: The confidence interval from the first simulation is (0.560, 0.620), and the confidence interval from the second simulation is (0.610, 0.670). For the first trial, we are 90% confident the true proportion of wins with the new game strategy is between 0.560 and 0.620. For the second trial, we are 90% confident the true proportion of wins with the new game strategy is between 0.610 and 0.670.
B: The confidence interval from the first simulation is (0.564, 0.616), and the confidence interval from the second simulation is (0.615, 0.665). For the first trial, we are 90% confident the true proportion of wins with the new game strategy is between 0.564 and 0.616. For the second trial, we are 90% confident the true proportion of wins with the new game strategy is between 0.615 and 0.665.
C:The confidence interval from the first simulation is (0.564, 0.616), and the confidence interval from the second simulation is (0.615, 0.665). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.564 and 0.616. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.615 and 0.665.
D:The confidence interval from the first simulation is (0.560, 0.620), and the confidence interval from the second simulation is (0.610, 0.670). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.560 and 0.620. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.610 and 0.670.
To construct and interpret 95% confidence intervals for the outcomes of each simulation, then option C. The confidence interval from the first simulation is (0.564, 0.616), and the confidence interval from the second simulation is (0.615, 0.665). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.564 and 0.616. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.615 and 0.665 is correct.
How did we determine the confidence interval?To calculate the confidence interval, we can use the formula for a normal approximation to the binomial distribution.
The standard error of the proportion is given by the formula SE = sqrt(p(1-p)/n), where p is the proportion of wins, and n is the number of games played. The 95% confidence interval is given by p +/- 1.96 * SE.
Plugging in the values from the first simulation, we have p = 590/1000 = 0.59, and n = 1000. So, SE = sqrt(0.59(1-0.59)/1000) = 0.0242. The 95% confidence interval is 0.59 +/- 1.96 * 0.0242 = (0.564, 0.616).
Similarly, for the second simulation, p = 640/1000 = 0.64, and n = 1000. So, SE = sqrt(0.64(1-0.64)/1000) = 0.0244. The 95% confidence interval is 0.64 +/- 1.96 * 0.0244 = (0.615, 0.665).
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11.the admission fee at a small fair is $2 for children and $4 for adults. on a certain day, 50 people enter the fair and $140 is collected. how many children and how many adults attended?
On a certain day, If 50 people enter the fair and $140 is collected, then there were 30 children and 20 adults attended the fair.
Let number of children be x
and let number of adult be y
Now, according to question
x+y = 50 …. ( equation 1)
and, according to cost of fair,
2x+4y= 140
x + 2y = 70 …. (equation 2)
solving equation 1 and equation 2 we get
y = 20
putting the value of y in equation 2 we get
x + 2y = 70
x + 2(20) = 70
x = 70-40
x = 30
Hence, there are 30 children and 20 adults in the fair.
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Write the expanded form of the expression of 4(3 + 4x - 2)
Answer:
12+16x-8
Step-by-step explanation:
find the values of x such that the given vectors are orthogonal: xi+2xj, xi - 5j
The two x-values that the supplied vectors are orthogonal to are 0 and 10 respectively.
What are vectors?
A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector.
The term can also refer to a quantity's mathematical or geometrical representation.
Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
A movement from one point to another is described by a vector. A vector quantity has a magnitude and a direction (size).
There is just magnitude for scalar quantities.
An arrow-labeled line segment can serve as a visual representation of a vector.
So, we have:
xi+2xj and xi - 5j
As is common knowledge, when two vectors are orthogonal, their dot product equals zero, which means:
(xi + 2xj)*(xi-5j) = 0
x*x+2x*-5 = 0
x²-10x = 0
x(x-10) = 0
x = 0 or x - 10 = 0
x = 0 or x = 10
Therefore, the two x-values that the supplied vectors are orthogonal to are 0 and 10 respectively.
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3 less than 2 times a number is 10
Answer: 2x-3=10
(x=the number)
Determine how (if possible) the triangles can be proved similar.
To prove that two triangles are similar, we must show that they have the same shape, but not necessarily the same size. This can be done by showing that the corresponding angles of the two triangles are equal and that the corresponding sides are in proportion.
To do this, we can use the Side-Side-Side (SSS) Similarity Theorem. This theorem states that if all three pairs of corresponding sides of two triangles are in proportion, then the two triangles are similar. To prove this, we must show that the ratio of each pair of corresponding sides is equal.
For example, let's say we have two triangles ABC and DEF. To prove that these two triangles are similar, we must show that the ratio of AB to DE is equal to the ratio of BC to EF. We can do this by solving the following equation:
AB/DE = BC/EF
If the equation is true, then the two triangles are similar.
We can also use the Angle-Angle-Angle (AAA) Similarity Theorem to prove that two triangles are similar. This theorem states that if all three pairs of corresponding angles of two triangles are equal, then the two triangles are similar. To prove this, we must show that the measure of each pair of corresponding angles is equal.
For example, let's say we have two triangles ABC and DEF. To prove that these two triangles are similar, we must show that the measure of angle A is equal to the measure of angle D, the measure of angle B is equal to the measure of angle E, and the measure of angle C is equal to the measure of angle F.
If the measures of the corresponding angles are equal, then the two triangles are similar.
Therefore, to prove that two triangles are similar, we must show that either the corresponding sides are in proportion (using the SSS Similarity Theorem) or the corresponding angles are equal (using the AAA Similarity Theorem).
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150 to 132
275 to 242
300 to 255
12% 15% 85% 88%
Answer:
88%, 88%, 85%
Step-by-step explanation:
You can check these by multiplying the first number given by the percentages below. (or finding how much the 2nd number is of the first number)
150 × .88 = 132
275 × .88 = 242
300 × .85 = 255
how would a 90 confidence interval based on a sample of size 200 compare to the original 90 interval
A 90% confidence interval based on a sample of size 200 would be more reliable than the original 90% interval.
This is because the larger sample size gives the interval a larger margin of error, meaning the interval is more likely to contain the true population means. This is due to the greater number of data points used to calculate the mean, which reduces the possibility of outliers skewing the results.
Additionally, the larger sample size increases the power of the test, meaning that the probability of getting a statistically significant result is increased. Therefore, the 90% confidence interval based on a sample of size 200 would be more reliable than the original 90% interval.
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Andy is painting a sign for his store. the sign is 2 1/2 feet hight and 1 1/4 feet wide
Answer: 25/8 or 3.125 or [tex]3\frac{1}{8}\\ \\[/tex]
Step-by-step explanation: Length times width (L x w)
there are three hospitals in the tulsa, oklahoma, area. the following data show the number of outpatient surgeries performed on monday, tuesday, wednesday, thursday, and friday at each hospital last week. at the 0.05 significance level, can we conclude there is a difference in the mean number of surgeries performed by hospital or by day of the week?
No, we cannot conclude that there is a difference in the mean number of surgeries performed by hospital or by day of the week.
The data provided would need to be further analyzed to determine if there is a statistically significant difference between the means. A t-test or ANOVA could be used to test for differences between the means.
1. The data provided shows the number of outpatient surgeries performed at three hospitals in the Tulsa, Oklahoma, area on each day of the week.
2. To determine if there is a difference in the mean number of surgeries performed by hospital or by day of the week, a statistical test needs to be conducted.
3. A t-test or ANOVA could be used to test for differences between the means.
4. The results of the test would need to be examined to determine if there is a statistically significant difference between the means.
5. At the 0.05 significance level, we cannot conclude there is a difference in the mean number of surgeries performed by hospital or by day of the week.
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Determine whether the triangles can be proved similar. If they are similar, write a similarity statement and explain how you know they are similar. If they are not similar, explain why.
The proof of similar triangles are;
1) Triangles ABC and EFG are not similar triangles.
2) Both triangles are similar triangles by AA Similarity Postulate
How to identify similar triangles?Similar triangles are defined as triangles that have the same shape, but then their sizes may vary. Now, all equilateral triangles, squares of any side lengths are examples of similar objects. This means that, if two triangles are similar, then we can say that their corresponding angles are congruent and corresponding sides are in equal proportion.
1) Triangles ABC and EFG are not similar because none of the corresponding angles nor corresponding sides are congruent to themselves.
2) Looking at both triangles formed, we can say that;
∠JLK ≅ ∠JMN by alternate angles postulate
∠JNM ≅ ∠JKL by alternate angles postulate
Similarly ∠J is congruent to itself by Reflexive property and as such both triangles are similar by AA Similarity postulate.
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What scale factor takes hexagon J to hexagon K?
Answer:
Step-by-step explanation:
boody boody
if the cost of eggs was originally $2.80 how much will eggs cost after a 20% increase
Answer:
3.36 dollars
Step-by-step explanation:
Original price is 2.80 dollars
we take 20% of 2.80 aka the original price.
(p.s 20% in just [tex]\frac{20}{100}[/tex] since % sign means divide by 100)
so,
= [tex]2.80 * \frac{20}{100}[/tex]
=0.56
This means that 20% increase results in 0.56 increase in dollars
So the price after this increase would become
2.80 + 0.56
=3.36 dollars
hope that helped
The Malelane gate into the Kruger National Park is 392km away from the nut farm. The Toyota Fortuner that was rented uses 7.9l of diesel for every 100km.
2.1.1) How many litres of fuel will the car use to get to the gate? round off to the nearest whole number.
2.1.2) The journey took 5 hours and 14 minutes. Calculate the average speed in km/h.
Fuel used = 392 km * 7.9 liters/100 km = 31.068 liters, average speed = 74.4 km/h.
What do you mean by Speed?It is defined as the distance traveled by an object in a certain amount of time. The unit of speed is usually meters per second (m/s) or kilometers per hour (km/h). Speed is a fundamental concept in physics, as it is a measure of the motion of objects. It is also an important concept in engineering, transportation, and many other fields. The speed of an object can be determined by dividing the distance traveled by the time taken to travel that distance. The magnitude of speed represents the rate of change of position, and the direction indicates the direction of the change.
To find the amount of fuel used to get to the gate, we need to multiply the distance traveled by the fuel consumption per kilometer.
1. Fuel used = 392 km * 7.9 liters/100 km = 31.068 liters. Rounding to the nearest whole number, the answer is 31 liters.
2. To find the average speed, we need to divide the distance traveled by the time taken.
Average speed = 392 km / (5 hours + 14 minutes/60) = 74.4 km/h.
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Please help I’m trying to sleep grade 8
Answer:
W
Step-by-step explanation:
One input can only have one output! So, the x, y, and z diagrams are all wrong. So, the answer is W.
Expand and simplify 2(x + 7) + 3(x + 1)
Answer:
the answer is in the picture
What is The lateral surface area of a cure the age of 8 cm
The lateral surface area of a cube the edge of 8 cm is 384cm^2.
How to find the surface area of some object?
Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object. Suppose that the cube in consideration has its side of 'a' units length.
Then, the surface area S of that cube is:
=6a^2
Given;
The edge of cube= 8cm
Now, the lateral surface area;
=6a^2
=6*8*8
=6*64
=384
Therefore, the lateral surface area will be 384cm^2.
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Write an equation of the line that passes through (1, 2) and is parallel to the line y=-5x+4
An equation of the line that passes through (1, 2) and is parallel to the given line is y=-5x+7.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, the coordinate point is (1, 2) and the line is y=-5x+4.
Here, slope of given equation is m₁= -5
We know that, the slope of parallel lines is equal. That is m₁=m₂.
Now, slope m₂=-5
Substitute, m=-5 and (x, y)=(1, 2) in y=mx+c, we get
2=-5(1)+c
c=7
Substitute, m=-5 and c=7 in y=mx+c, we get
y=-5x+7
Therefore, an equation of the line that passes through (1, 2) and is parallel to the given line is y=-5x+7.
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F(3) given f(x)=2x+3 evaluate the function
The value of the function is f ( 3 ) = 9
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the function be represented as f ( x )
Now , the equation will be
Substituting the values in the equation , we get
f ( x ) = 2x + 3 be equation (1)
On simplifying the equation , we get
y = 2x + 3
And , when x = 3
Substitute the value of x =3 in the equation , we get
f ( 3 ) = 2 ( 3 ) + 3
On further simplification , we get
f ( 3 ) = 6 + 3
f ( 3 ) = 9
Therefore , the value of f ( 3 ) is 9
Hence , the equation is f ( 3 ) = 9
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Find the measure of angle 1 & 2
Answer:
angle 1 = 45 degrees, angle 2 = 90 degrees
Step-by-step explanation:
For angle 1:
2 of the properties of a square are that it has 4 right angles (90 degrees) and the diagonals bisect the angles.
Angle BAD = 90 degrees
Ray AC bisects angle BAC. And by definition of bisection, angle 1 = 90/2 = 45 degrees
So angle 1 = 45 degrees
For angle 2:
Angle two is an angle of triangle BAE. Angles BAE and ABE are = 45 degrees because of what is stated above for angle 1.
Since the sum of the measure of the angles in a triangle is 180. We can solve for Angle 2 by doing 180 = 45 +45+ angle 2
180 = 90 + angle 2
angle 2 = 90 degrees
pls help.
At a hockey game, a vender sold a combined total of 232 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
The Number of sodas sold: 174,
The number of hot dogs sold: 58.
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given a vendor sold a combined total of 232 sodas and hot dogs.
let S for the number of sodas sold and H for the number of hot dogs sold,
S + H = 232
The number of sodas sold was three times the number of hot dogs sold
S = 3H
substitute the values,
S + H = 232
3H + H = 232
4H = 232
H = 232/4
H = 58
and the number of sodas sold
S = 3H
S = 3*58
S = 174
Hence the number of sodas sold = 174,
and the number of hot dogs sold = 58.
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8. the number of nails of a given length is normally distributed with a mean length of 5.00 in. and a standard deviation of 0.03 in. use rguroo: a) find the number of nails in a bag of 120 that are less than 4.94 in. long. b) find the probability that the length of nails are between 4.97 and 5.03 in. long. c) what length of nails is considered to be at the 58th percentile of all nails?
The normal distribution of nail lengths with mean 5.00 in and standard deviation of 0.03 in is used to find probability of lengths less than 4.94 in and between 4.97 and 5.03 in. 58th percentile length is also determined.
a) To find the number of nails less than 4.94 in long, we need to use the cumulative distribution function of the normal distribution. Let's assume X represents the length of the nails.
We have X ~ N(5.00, 0.03^2). To find the cumulative probability of X being less than 4.94, we can use the following formula:
P(X < 4.94) = P((X - 5.00)/0.03 < (4.94 - 5.00)/0.03) = P(Z < -2.33)
Where Z is a standard normal random variable. Using a standard normal table or calculator, we find that
P(Z < -2.33) = 0.01.
So, the probability of a nail being less than 4.94 in long is 0.01, and in a bag of 120 nails, we expect 120 * 0.01 = 1.2 nails to be less than 4.94 in long.
b) To find the probability that the length of nails are between 4.97 and 5.03 in long, we can use the cumulative distribution function again. We want to find the cumulative probability of X being less than 5.03 and subtract the cumulative probability of X being less than 4.97:
[tex]P(4.97 < X < 5.03) = P(X < 5.03) - P(X < 4.97) = P((X - 5.00)/0.03 < (5.03 - 5.00)/0.03) - P((X - 5.00)/0.03 < (4.97 - 5.00)/0.03) = P(Z < 0.99) - P(Z < -0.99)[/tex]
Using a standard normal table or calculator, we find that P(Z < 0.99) = 0.84 and P(Z < -0.99) = 0.16.
So, the probability of a nail being between 4.97 and 5.03 in long is
0.84 - 0.16 = 0.68.
c) The 58th percentile of all nails represents the value below which 58% of the nails fall. We can use the inverse cumulative distribution function to find this value. Let's assume X represents the length of the nails, and P(X < x) = 0.58. We have X ~ N(5.00, 0.03^2). To find x, we can use the following formula:
x = 5.00 + 0.03 * Z
Where Z is the standard normal random variable such that P(Z < z) = 0.58
Using a standard normal table or calculator,
we find that Z = 0.84.
So, the length of nails at the 58th percentile is 5.00 + 0.03 * 0.84 = 5.0252 in long.
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what is the maximum number of edges possible in a simple undirected disconnected graph of n vertices?
The maximum number of edges in a simple undirected disconnected graph of n vertices can be any value that is less than or equal to n(n-1)/2.
What is the graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
The maximum number of edges in a simple undirected disconnected graph of n vertices can be found using the formula for the maximum number of edges in an undirected graph,
E = n(n-1)/2.
However, for a disconnected graph, this formula only applies to each connected component of the graph separately. Therefore, the maximum number of edges in a simple undirected disconnected graph of n vertices is n(n-1)/2 for each connected component, so the total maximum number of edges is n₁(n₁-1)/2 + n₂(n₂-1)/2 + ... + nₐ(nₐ-1)/2, where n₁, n₂, nₐ are the number of vertices in each connected component.
So, in general, the maximum number of edges in a simple undirected disconnected graph of n vertices can be any value that is less than or equal to n(n-1)/2.
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Which expression is equivalent to the expression below?
2.1 + (–3.7h) + 1.9h – 1.4
The equivalent expression is -1. 8h + 0.7
What are algebraic expressions?
Algebraic expressions are defined as expression that are composed of variables, terms, coefficients, factors and constants.
They are also made up of arithmetic operations.
From the information given, we have that;
2.1 + (–3.7h) + 1.9h – 1.4
To simply this, we need to expand the bracket, we get;
2.1 - 3. 7h + 1.9h - 1.4
Now, collect the like terms, we get;
-3. 7h + 1. 9h + 2.1 - 1.4
Add or subtract the like terms
-1. 8h + 0.7
Hence, the expression is-1. 8h + 0.7
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a box of cookies contains 4 chocolate and 6 butter cookies. miguel randomly selects a cookie and eats it. then he randomly selects another cookie and eats it. (how many cookies did he take?)
4 chocolate and 6 butter cookies are included in a box of cookies. Miguel chooses a cookie at random and consumes it. He then chooses another cookie at random and eats it. He take 10 cookies.
Science, art, statistics, encryption, gaming, gambling, and other industries all make extensive use of randomness. To test hypotheses, for instance, random assignment in randomized controlled trials and pseudorandom or random numbers in computer games like video poker. In order to produce non-deterministic data (such as a series of integers) to seed security algorithms, a TRNG is a function or apparatus based on an unpredictably occurring physical event termed an entropy source. Although chance and randomness are sometimes used interchangeably, they can have different meanings in various scientific contexts as well as in everyday life. Chance specifically has a wider range than randomness, which is frequently interpreted in accordance with more specialized mathematical connotations.
Based on the given condition,
4+6
Calculate the sum.
10
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in a class of 25 students 15 of them have a cat 16 of them have a dog and 3 of them have neither find the probability that a student that chosse
The probability of students chosen have a cat and a dog is:P(cat and dog) = 9/25.
How it was obtainedThere are 25 students
Those that have cats 15
those that have a dog 16
while, 3 of them have neither
Take x = number of students who own a cat and a dog.
Consequently, the total number of students who own a cat, a dog, both or neither is as follows;
15-x + x + 16-x + 3 = 25.
-x = 25 - 34
In essence, x = 9
Therefore, the number of students who own a cat and a dog is 9.
The probability that a student chosen at random has a cat and a dog is therefore;
P(cat and dog) = 9/25.
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In a class of 25 students, 15 of them have a cat , 16 of them have a dog and 3 of them have neither. Find the probability that a student chosen at random has a cat and a dog. Find the probability that a student chosen at random has a cat and a dog