Given that P(94) = 80 and P'(94) = 19, approximate P(92)
Answers
To approximate P(92), we can use the linear approximation formula: P(x) ≈ P(a) + P'(a)(x-a), where a is the known value (94 in this case) and x is the value we want to approximate (92 in this case).
What is linear approximation method: A linear approximation is an approximation of a general function using a linear function (specifically, an affine function). They are widely used in the finite difference method to establish first-order methods to solve or approximate the solutions of equations.Linear approximation, or linearization, is a method by which we can approximate the value of a function at a certain point. The reason linear approximation is useful is that finding the value of a function at a particular point can be difficult. Square roots are a good example of this.What is diffrential equation A differential equation is an equation that includes an unknown function and its derivative. A differential equation describes a relationship between a function and changes in the function.Differential equations are very important in higher mathematics and also in disciplines where mathematics is used. In subject areas such as physics, engineering, meteorology and economics, differential equations are used to describe connections and development processes.Plugging in the values we have: P(92) ≈ P(94) + P'(94)(92-94), P(92) ≈ 80 + 19(-2) and P(92) ≈ 42. Therefore, we can approximate P(92) to be approximately 42.
To learn more about differential equation: brainly.com/question/14620493
#SPJ11
Related Questions
Find the equation of the tangent line to the given curve at x = 0.2 y = x2 Arccos (3x)
Answers
Answer:
To find the equation of the tangent line to the curve y = x^2 Arccos(3x) at x = 0.2, we need to find the slope of the tangent line at that point and then use the point-slope form of the equation of a line.
First, we find the derivative of y with respect to x:
dy/dx = 2x Arccos(3x) - x^2 / sqrt(1 - (3x)^2)
Next, we evaluate the derivative at x = 0.2 to find the slope of the tangent line at that point:
dy/dx | x=0.2 = 2(0.2) Arccos(3(0.2)) - (0.2)^2 / sqrt(1 - (3(0.2))^2)
dy/dx | x=0.2 = 0.6865
So the slope of the tangent line at x = 0.2 is approximately 0.6865.
Now we can use the point-slope form of the equation of a line to find the equation of the tangent line. We know that the line passes through the point (0.2, 0.04 Arccos(0.6)), so we have:
y - y1 = m(x - x1)
y - 0.04 Arccos(0.6) = 0.6865(x - 0.2)
Simplifying and rearranging, we get:
y = 0.6865x - 0.1261
Therefore, the equation of the tangent line to the curve y = x^2 Arccos(3x) at x = 0.2 is y = 0.6865x - 0.1261.
The equation of the tangent line to the curve y = x^2 Arccos(3x) at x = 0.2 is approximately y = 0.653x - 0.113.
To find the equation of the tangent line to the curve at x = 0.2, we need to find the slope of the tangent line at that point, and then use the point-slope form of a line to write the equation.
First, we need to find the derivative of the curve:
y = x^2 Arccos(3x)
Taking the derivative with respect to x:
y' = 2x Arccos(3x) - x^2 (1/sqrt(1 - 9x^2))
Now, we can evaluate y' at x = 0.2 to find the slope of the tangent line at that point:
y'(0.2) = 2(0.2) Arccos(3(0.2)) - (0.2)^2 (1/sqrt(1 - 9(0.2)^2))
≈ 0.653
So the slope of the tangent line at x = 0.2 is approximately 0.653.
Next, we need to find the y-coordinate of the point on the curve where x = 0.2:
y = (0.2)^2 Arccos(3(0.2))
≈ 0.012
So the point on the curve where x = 0.2 is (0.2, 0.012).
Now we can use the point-slope form of a line to write the equation of the tangent line:
y - y1 = m(x - x1)
where m is the slope we just found, and (x1, y1) is the point on the curve where x = 0.2.
Substituting in the values we found:
y - 0.012 = 0.653(x - 0.2)
Simplifying:
y = 0.653x - 0.113
So the equation of the tangent line to the curve y = x^2 Arccos(3x) at x = 0.2 is approximately y = 0.653x - 0.113.
To learn more about coordinate visit:
https://brainly.com/question/16634867
#SPJ11
f x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true?
Answers
y<=-x-7
(-infinity ,-x-7)
This is statement is true
Interval notation for 5-y<=2(x-3)
y=>11-2x
[11 - 2 x, ∞)
Find the center and radius of the circle with the equation x^2 + y^2 = 9. Then graph the circle.
Answers
Answer:
center = origin (0,0)
radius = 3
to graph it, draw a circle that goes through the points (3,0), (0,3), (-3,0), (0,-3)
Step-by-step explanation:
when preparing QFD on a soft drink one of the following is least effective to analyze customer requirements regarding the container:
a fits cup holder
b Does not spill when you drink
c reusable
d Open/close easily
Answers
When preparing QFD for a soft drink container, analyzing customer requirements regarding the container's ability to fit a cup holder is found to be the least effective attribute in terms of meeting customer needs. (option a)
To explain this in mathematical terms, we can assign weights or scores to each requirement based on its importance. Let's assume that we have identified four customer requirements related to the soft drink container:
Fits cup holder (a): This requirement relates to the container's size or shape, ensuring that it fits conveniently in a cup holder in vehicles. However, it may not be as crucial to customers as the other requirements. Let's assign it a weight of 1.
Does not spill when you drink (b): This requirement focuses on preventing spills while consuming the soft drink. It is likely to be highly important to customers who want to avoid any mess or accidents. Let's assign it a weight of 5.
Reusable (c): This requirement refers to the container's ability to be reused multiple times, promoting sustainability and reducing waste. It is an increasingly important aspect for environmentally conscious customers. Let's assign it a weight of 4.
Open/close easily (d): This requirement relates to the convenience of opening and closing the container, ensuring easy access to the beverage. While it may not be as critical as spill prevention, it still holds significant importance. Let's assign it a weight of 3.
Next, we consider the customer ratings or satisfaction scores for each attribute. These scores can be obtained through surveys or feedback from customers. For simplicity, let's assume a rating scale of 1-5, where 1 indicates low satisfaction and 5 indicates high satisfaction.
Based on customer feedback, we find the following scores for each attribute:
a fits cup holder: 3
b does not spill when you drink: 4
c reusable: 4
d open/close easily: 4
Now, we can calculate the weighted scores for each requirement by multiplying the weight with the customer satisfaction score. The results are as follows:
a fits cup holder: 1 (weight) * 3 (score) = 3
b does not spill when you drink: 5 (weight) * 4 (score) = 20
c reusable: 4 (weight) * 4 (score) = 16
d open/close easily: 3 (weight) * 4 (score) = 12
By comparing the weighted scores, we can see that the attribute "a fits cup holder" has the lowest score (3) among all the options. This indicates that it is the least effective attribute for meeting customer requirements compared to the other attributes analyzed.
Hence the correct option is (a).
To know more about customer requirements here
https://brainly.com/question/28310805
#SPJ4
For how many positive integers "n" does 1+2+...+n evenly divide 6n?
a) 3
b) 5
c) 7
d) 9
e) 11
Answers
(b) 5.Let's first express 1 + 2 + ... + n as the sum of an arithmetic series:
1 + 2 + ... + n = n(n+1)/2
Now, we need to find the positive integers n for which 6n is divisible by n(n+1)/2, or equivalently, for which n+1 is divisible by 3.
If n+1 is divisible by 3, then either n+1 = 3, 6, 9, ... or n+1 = 4, 7, 10, .... The first case gives n = 2, 5, 8, ... and the second case gives n = 3, 6, 9, ....
Thus, there are 5 possible values of n: 2, 3, 5, 6, and 9.
An arithmetic series is a sequence of numbers where each term is obtained by adding a constant value to the previous term. This constant value is called the common difference. For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic series with a common difference of 3. The formula for the nth term of an arithmetic series is: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term in the sequence, and d is the common difference. The sum of the first n terms of an arithmetic series can be calculated using the formula: S_n = n/2(a_1 + a_n).
Find out more about Integers
brainly.com/question/22234109
#SPJ4
Solve the inequality, show all of your work: -5x + 2 > 37
Answers
Answer:
\(x < -7\)
Step-by-step explanation:
First subtract 2 from both sides.
\(-5x+2-2 > 37-2\)
\(-5x > 35\)
Then divide both sides by -5.
\(\frac{-5x}{-5} > \frac{35}{-5}\)
For x < - 7, the inequality {- 5x + 2 > 37} is satisfied.
What are inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.It is used most often to compare two numbers on the number line by their sizeGiven is the inequality as follows -
- 5x + 2 > 37
The given inequality is -
- 5x + 2 > 37
- 5x + 2 > 37
- 5x + 2 - 2 > 37 - 2
- 5x > 35
x < - 7
Therefore, for x < - 7, the inequality {- 5x + 2 > 37} is satisfied.
To solve more questions on graphing inequalities, visit the link below -
brainly.com/question/29061217
#SPJ2
Which number line shows the inequality n < -1?
Answers
Answer:
1
Step-by-step explanation:
Answer:
i think like the 2nd one im not sure i cant see the lines
Step-by-step explanation:
It has been determined that 15% of all cars tested emit excessive hydrocarbons, 12% emit excessive CO, and 8% emit excessive amounts of both. Find the probability that emissions of both hydrocarbons and CO are excessive. Round your answer to 2 decimal places.
Answers
The probability that emission of both CO and hydrocarbon is in excess is 0.8.
What is probability?The proportion of favorable cases to all possible cases used to determine how likely an event is to occur.
Let, A be the event in which cars are emitting excess CO:
P(A) = 0.12
Let, B be the event in which cars are emitting excess hydrocarbons:
P(B) = 0.15
The cars which emit both CO and Hydrocarbons in:
P(A∩B) = 0.8
The probability that emission of both CO and hydrocarbon is in excess is 0.8.
Learn more about probability on:
https://brainly.com/question/25870256
#SPJ4
What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
Answers
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
Learn more about Moving average here: https://brainly.com/question/28495879
#SPJ11
it takes eight blocks with side links of a quarter m to fill a rectangle or prism the rectangular prism has a volume of what in Cubic meters
Answers
Answer:
1/8 m³
Step-by-step explanation:
Given that:
Side length of block, s = 1/4
Volume of block, V
V = s³
Volume of block = (1/4)³ = 1/4 * 1/4 * 1/4 = 1 /64
The rectangular prism takes 8 of this blocks :
Hence, the volume of the rectangular prism is :
Number of blocks * Volume per block
8 * 1 /64
8 /64
= 1/8 m³
if the mine winch drum diameter is 6m calculate how far the counterweight will lift for each single rotation of the drum use the formula C=2ttr
Answers
Answer:
A single rotation accounts for the circumference of the mine winch drum:
from formula:
\(circumference = 2\pi r\)
r » radius.
but r = 2 × diameter.
therefore; radius, r = 2 × 6 = 12 m
\(c = 2 \times 3.14 \times 12 \\ { \underline{ \underline{ \: \: circumference = 75.36 \: m \: \: }}}\)
[ considering π to be 3.14 ]
Find the volume show work
Answers
On a postsynaptic membrane, the opening of which ion channel(s) induces an IPSP? Why? VRest -70 mV, threshold = -55 mV, Ec= -63 mV, Ex = -90 mV, and ENa = 60 mV. a) K+; It hyperpolarizes the neuron. O
Answers
On a postsynaptic membrane, the opening of K+ ion channel induces an IPSP (Inhibitory Postsynaptic Potential).
The potential changes in a neuron after the receptor and ion channel activation is called synaptic potential. This potential can be either an Excitatory Postsynaptic Potential (EPSP) or an Inhibitory Postsynaptic Potential (IPSP).EPSP is a depolarizing potential that results from the opening of the Na+ ion channel. It causes a change in the potential of the neuron towards threshold level that may trigger an action potential.Ion channels and pumps in a postsynaptic neuron regulate the internal potential of the cell. In a typical postsynaptic cell, the resting potential (Vrest) is -70 mV, the threshold value is -55 mV, the reversal potential for Cl- ion (Ec) is -63 mV, the reversal potential for K+ ion (Ex) is -90 mV, and the reversal potential for Na+ ion (ENa) is 60 mV.The opening of Cl- ion channel leads to an inward flow of negative ions and thus results in hyperpolarization. The opening of K+ ion channel leads to an outward flow of K+ ions, and the membrane potential becomes more negative. Thus, it also results in hyperpolarization. The opening of a Na+ ion channel leads to inward flow of Na+ ions, which makes the cell more positive, and it is depolarization. Therefore, the opening of K+ ion channel leads to an IPSP, and it hyperpolarizes the neuron.
The postsynaptic potential can be either an Excitatory Postsynaptic Potential (EPSP) or an Inhibitory Postsynaptic Potential (IPSP). The opening of the K+ ion channel leads to an outward flow of K+ ions, which makes the cell more negative and hyperpolarizes it, leading to IPSP.
To learn more about postsynaptic membrane visit:
brainly.com/question/14969022
#SPJ11
Topology question. Answer only subpart a. Need Asap.
3. Let (X, Jx) and (Y, Ty) be topological spaces defined as follows: X = {D, O, R, K} Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X} Y = {M, A, T, H} Jy = {0, {M}, {M, A}, {M, A, T}, Y} (a) Let E= {0, K
Answers
Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.
To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.
In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.
In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.
In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.
Learn more about topological spaces here:
https://brainly.com/question/32645200
#SPJ11
Type the missing number in this sequence:
-5,
20,
-80,
-1,280,
5,120
Answers
Answer:
320
Step-by-step explanation:
multiples of -4
Answer:
320
Step-by-step explanation:
it looks as if it is multiplied by -4 every time.
-5 x -4 = 20
20 x -4 = -80
-80 x -4 = 320
find the slope
5x -3y = 18
Answers
Answer:
m=5/3
Step-by-step explanation:
Mrs. Harris has 5 blue, 8 red, 3 green, and 7 yellow candies in a bag. If Mrs. Harrisrandomly selects a candy, what is the probability she will select a yellow or blue candy?
Answers
Blue = 5
Red = 8
Green= 3
Yellow= 7
Total candles = 5+8+3+7 = 23
Yellow and blue candles = 7+5 = 12
To find the probability divide the number of blue and yellow candles (12) by the total number of candles.
12/23 = 0.52
Jason will us 1/3 gallon pitcher to fill an empty 3/4 gallon water jug
Answers
Answer:
im pretty sure its 1/2 pitcher.
Step-by-step explanation:
Answer:
-5/12≈ -0.417−0.417
Step-by-step explanation:
Step 1 of 2: Subtract.
Subtract
1 over 3
1
3
− 3 over 4
3
4
= negative 5 over 12−
5
12
Step 1 of 2: Subtract, sub-step a: Find common denominator.
Find common denominator
1 over 3
1
3
− 3 over 4
3
4
= ( 1 × 4 ) over ( 3 × 4 )
1 × 4
3 × 4
− ( 3 × 3 ) over ( 4 × 3 )
3 × 3
4 × 3
= 4 over 12
4
12
− 9 over 12
9
12
12 is the least common multiple of denominators 3 and 4. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step b: Subtract.
Subtract
4 over 12
4
12
− 9 over 12
9
12
= ( 4 − 9 ) over 12
4 − 9
12
= negative 5 over 12−
5
12
JH is the geometric mean of which two segments?
GH and HI
JI and HI
GJ and GH
Answers
Answer:
A. GH and HIStep-by-step explanation:
From the similarity of triangles GHJ and JHI we get:
JH / HI = GH / JH ⇒ JH ² = GH · HI ⇒ JH = √GH · HIThis is a expression of the geometric mean
NEED ASAP!!!!!!!Which function is decreasing and approaches negative infinity as x increases
Answers
Answer:
D
Step-by-step explanation:
x on the right line is going right and going down negative infinity.
Answer:
f(x) = -3(6)^x + 2
Step-by-step explanation:
Betrys is making a vegetable stew for 8 people.
A recipe for 2 people indicates that 10 ounces of diced potatoes are needed.
The scale below shows how much diced potatoes she has already prepared.
Betrys knows that 1 ounce is approximately 28 grams.
Work out how many more grams of diced potatoes she
needs to make her vegetable stew for 8 people?
Answers
Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.
How many more grams of diced potatoes she needs to make her vegetable stew for 8 people?
We know that Betrys is cooking for 8 people, and we know that a recipe for 2 people needs 10 ounces.
8 people is 4 times 2 people, then for 8 people you need 4 times 10 ounces, this is 4*10 oz = 40 ounces.
Now we can apply a change of units, remember that:
1 oz = 28 grams
Then the total amount she needs is:
40 oz = 40*28 g = 1,120 g
So she needs in total 1,120 grams, and in the balance, she already has 720 grams, so the amount that she needs is given by the subtraction:
1,120 g - 720g = 400
Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.
If you want to learn more about subtractions:
https://brainly.com/question/25421984
#SPJ1
THE TEMPERATURE OF A LIQUID IN AN EXPERIMENT IS 0 C AT 9 AM. THE EXPERIMENT CALLS FOR THE TEMPERATURE TO CHANGE -5/4 C EVERY HOUR. WHAT WILL THE TEMPERATURE BE AT NOON?
Answers
Answer: -15/4 or -3 3/4
Step-by-step explanation:
To solve this problem, you can create an equation:
\(T(x) = 0 - \frac{5}{4}x\)
For this equation, we want x to represent the hours passed. We know that noon is three hours after 9AM so we can plug 3 in:
\(T(3) = 0 - \frac{5}{4} * 3 = -\frac{15}{4}\)
I hope this helps, and if you need any more clarification, let me know.
Each correct answer is worth 134 points, and each incorrect answer is worth −14 points.
If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?
Answers
Answer:
He scores 7464 points
Step-by-step explanation:
58x134= 7772
22x(-14)= -308
7772-308= 7464
Hope this helps :D
Answer:
Nevan scores 7464 points total.
Step-by-step explanation:
You multiply 58 x 134 to find out how many points he got for the correct answers. He got 7772 points.
You multiply -14 x 22 to find out how many points he lost for the incorrect answers. He lost -308 points.
Subtract 7772-308 to find the total amount of points Nevan has now. He has 7464 points.
Note:
To find out if he won or not I would need a specific number to compare his points with. This is why my answer doesn't say whether he won or not.
...................... can yall answer this real quick pleaseee
Answers
Answer:
5.7
Step-by-step explanation:
Answer:
circumference=2πr
18= 2×3.14×r
r= 18/2×3.14
diameter = 5.73cm
Paul invests £150 in a bank account paying 2% interest per annum for 10 years. Work out how much money he has in the account at the end of the 10 years
Answers
Answer: £180
Step-by-step explanation:
The interest gotten for the 10 years will be calculated as:
= Principal × Rate × Time
= 150 × 2% × 10
= 150 × 0.02 × 10
= 30
The amount he has in the bank account at the end of the 10 year will be:
= Principal + Interest
= £150 + £30
= £180
For what types of associations are regression models useful?Choose the correct answer below.
A. Non-linear
B. Linear
C. Both linear and non-linear
D. For all types of associations
Answers
Option C. Regression models can be used for both linear and non-linear associations, but they are particularly well-suited for linear relationships.
Regression models are useful for modeling the relationship between variables, particularly for predicting the value of one variable based on the value of another.
Linear regression models are used for linear associations, while non-linear regression models are used for non-linear associations. However, even for non-linear associations, linear regression models can be useful for approximating the relationship between variables in certain cases. Nonetheless, in general, non-linear regression models are more appropriate for non-linear associations.
To learn more about Regression models please click on below link.
https://brainly.com/question/14983410
#SPJ4
what best describes the graph of y = -|x+1| - 5
Answers
Answer:
Step-by-step explanation:
To tackle this problem, you start with the simplest function y = |x| (the absolute value of x). This is a function that turns any negative number into a positive number while positive numbers stay positive.
For example, if x = -1, you would get y = 1.
Or if you have a x = -10, you would get y = 10.
Now let's say you have a positive number x = 5, then you'd also get a positive number y = 5.
That's why the graph of y = |x| is a V shaped graph that has the vertex at (0,0) which opens upwards. (see the attached photo1)
Now let's find out what happens when we change the function of y = |x| into y = |x+1|.
What happens is that the graph of the old function gets shifted 1 unit to the left. Thus the new vertex will be moved to (-1,0). (see the attached photo2)
Now let's see what happens when we put a negative sign to the function so it becomes y = -|x+1|.
Putting a negative sign on front of the function is equivalent by multiplying the function by -1 which makes your old positive y values turn into negative y values. That is why you'll see the new graph to be flipped (reflected) via the x-axis. Which means the V will now open downwards. (see the attached photo3)
Now let's find out what happens when we subtract 5 to the function so it becomes y = -|x+1| - 5.
Subtracting 5 to the function shifts the graph 5 units downwards. Hence the new vertex will now be placed at (-1,-5). (see the attached photo4)
Therefore the answer is the 4th choice which is:
a V shaped graph with vertex at (-1,-5), which points down.
- Ginno Pineda
Find the distance between (-2.8) and (11, 2). Round to the nearest hundredth 14.32 13.58 12.58 13.04 None of the other answers are correct
Answers
Answer:
14.32
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point (-2, 8)
Point (11, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: \(d = \sqrt{(11+2)^2+(2-8)^2}\)Add/Subtract: \(d = \sqrt{(13)^2+(-6)^2}\)Exponents: \(d = \sqrt{169+36}\)Add: \(d = \sqrt{205}\)Evaluate: \(d = 14.3178\)Round: \(d \approx 14.32\)how to do more scaled copies for middle school 7th grade
Answers
Answer:
//www.pinterest.com/pin/269371621432109114/
Step-by-step explanation:hope this help hehe
the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring. true/false
Answers
The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.
The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:
P(A or B) = P(A) + P(B) - P(A and B)
On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:
P(A and B) = P(A) * P(B|A)
where P(B|A) is the conditional probability of B given that A has occurred.
It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.
In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.
In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.
To learn more about probability click on,
https://brainly.com/question/30648713
#SPJ4