3^4 + 18 ÷ 3 +2 pls what is the =

Answers

Answer 1

The value of the given expression, 3^4 + 18 ÷ 3 +2, is 89

Evaluating an expression

From the question, we are to determine the value of the given expression

The given expression is

3^4 + 18 ÷ 3 +2

First, we will write the expression properly

The given expression written properly is

3⁴ + 18 ÷ 3 +2

Using PEMDAS

P - Parentheses

E - Exponent

M - Multiplication

D - Division

A - Addition

S - Subtraction

Then,

3⁴ + 18 ÷ 3 +2

81 + 18 ÷ 3 + 2

81 + 6 + 2

= 89

Hence, the value is 89

Learn more on Evaluating an expression here: https://brainly.com/question/21778942

#SPJ1


Related Questions

Use the image below to answer the identify the following: One pair of vertical angles: One pair of adjacent angles: One pair of supplementary angles:

Answers

A pair of vertical angles is; Angle 1 and Angle 4

A pair of supplementary angles are; Angle 2 and angle 1

How to identify angle properties?

Vertical Angles are defined as the angles that are opposite each other when two lines cross each other.

Two angles are defined as adjacent angles when they share the common vertex and side.

Two angles are defined as supplementary angles if they sum up to 180 degrees.

By those definitions above, we can say that;

Angle 1 & 2 as well as angle 3 & 4 are pairs of supplementary angles.

We can also say that;

Angle 4 and 1 are vertical angles while angle 2 and 3 are vertical angles as well.

Read more about Angle Properties at; https://brainly.com/question/24839702

#SPJ1

Jordan and Raj each bake 7 batches of muffins. Jordan makes 18 muffins per batch, and Raj makes 15 muffins per batch. They combine their muffins and put all of them into boxes. They fill as many boxes as possible with 6 muffins each. They place the remaining muffins in the last box. How many full boxes do they make, and how many muffins will be in the last box?

Answers

Answer:

38 full batch with a remainder of 3

Step-by-step explanation:

18*7 + 15*7 = 231

231/6 = 38 r3

PLSSS HELPP ASAPPP
On the diagram below, a boat, represented by point A, is 450 feet away from a buoy, represented by point B. Another buoy is located at point C. The three points form a right triangle with the measure of <
A equal to 21.3°

Answers

The distance between two buoys by the trigonometric function will be 175.48 feet.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

As per the given situation is making a right angle triangle.

By tan trigonometric function,

tan21.3° = BC/450

BC = 175.48 feet

Hence "According to the trigonometric function, there will be 175.48 feet between two buoys.".

For more information about the trigonometric function,

https://brainly.com/question/14746686

#SPJ1

Write the following as an algebraic expression. Then
simplify.

The perimeter of a triangle whose sides are of
lengths 6x, 6x + 6, and x.

Answers

Answer:

[tex]6x + 6x + 6 + x = 13x + 6[/tex]

Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for 7, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

Area :153.86 m

Circumference: 43.96 m

Step-by-step explanation:

Area: 3.14 x r^2

or, A= 3.14 x 7^2

Therefore, A= 153.86m

Circumference: 2 x 3.14 x r

or, C= 2 x 3.14 x 7

Therefore, C= 43.96 m

Hope this helps:)

(btw I put so much time and effort in this answer as it is hard to type mathematical problems in mobile, so I hope I can get marked as brainliest, I have written all the answer that needs to be written in an exam. Anyone can copy it and their work is done.)

John spread 45 minutes after school reviewing his notes before taking a 15 minute break for a snack. After that snack, he continues reading his notes for the other 30 minutes. What would you add to find the total time that John studied?

Answers

Answer:

its A

Step-by-step explanation:

Ben

pls help i’ll give brainlist to right answer

Answers

Answer:

i believe its 5+n ≤ -7

Step-by-step explanation:

the sum of 5 and a number(n) would be 5+n, and no more woukd be the  ≤  sign, which would lead to -7

Kayla works at a trampoline gym that hosts birthday parties. Parties are priced at $75 plus $12.50 per guest. Kayla rang up a customer who paid $200 for a party. How many guests were at the party?
Write and solve an equation to find the answer

Answers

Answer:

10 Guests

Step-by-step explanation:

200 - 75 = 125 (We need to find a number that will spend 125 dollars)

125 / 12.50 = 10

12.50 x 10 = 125

So the answer is 10

Write a system of equations and then solve by the method of your choice: substitution or elimination

Answers

There are 30 questions for 2 points and 10 questions for 4 point.

What is elimination method?

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients.

Given that, the total number of equations is 40. Total point on the paper is 100 points.

There are two types questions, one type question contains 2 points and other type question contains 4 points.

Assume that, there are x questions for 2 points and y questions for 4 points.

The total number of questions is x + y.

The total point is 2x + 4y.

Therefore,

x + y = 40  ......(i)

2x + 4y = 100  .....(ii)

Multiply 2 with equation (i)

2x + 2y = 80

2x + 4y = 100

___________

       -2y = -20

Divide both sides by -2:

y = 10

Putting y = 10 in equation (i)

x + 10 = 40

x = 30

To learn more about system of equation, click on below link:

https://brainly.com/question/15587397

#SPJ1

Jeremy's mother deposited $1,200 into a
savings account as a college fund when he
was born. How much will Jeremy have in
this account after 18 years at a yearly
simple interest rate of 4.25%?
A) $51.00
C) $918.00
B) $10,380.00
D) $2,118.00

Answers

Answer: D) $2,118.00

Step-by-step explanation:

1 year = 4.25% interest rate

18 years = 76.5% interest rate

76.5% = 0.765

Take 1200 times 0.765 = $918.00

$918.00 is the interest money he will receive after 18 years. We have to add both numbers to find the total.

$1,200 + $918.00 = $2118.00

Explain three of seven phases of the impulse purchase cycle

Answers

Three of the seven phases of the impulse purchase cycle. The other phases include antecedent, search, and selection.

The impulse purchase cycle is a model that describes the process of making an impulsive purchase. It is typically divided into seven phases:

Antecedent: This phase is characterized by a need or desire for something. It can be triggered by a variety of factors, such as boredom, hunger, or a sudden craving for a particular product.

Search: In this phase, the consumer begins to actively search for a product that will satisfy their need or desire. They may search online or in physical stores, and they may consider various options before deciding on a product.

Selection: In this phase, the consumer narrows down their options and selects a specific product that they want to purchase. They may consider factors such as price, quality, and convenience when making their decision.

Learn more about the impulse purchase cycle at

https://brainly.com/question/9947836?referrer=searchResults

#SPJ4

what kind of sampling technique is this? a) random sampling. b) stratified random sampling. c) cluster random sampling. d) systemic random sampling. e) a combination of random, stratified and cluster sampling.

Answers

The resulting sampling technique is Stratified sampling.

As in the concept of statistical study, sampling methods refer to how we select members from the population to be in the study and if a sample isn't randomly selected, it will probably be biased in some way and the data may not be representative of the population.

Here we need to find the type of sampling method.

Here the Stratified random sampling involves classifying the units of the population into different strata.

And the give units in each stratum should possess similar characteristics which then allows the researcher to pick a sample from each.

Then the stratified sampling approach can be divided into proportionate stratified sampling and disproportionate stratified sampling

Therefore, these method is employed in cases where the population is heterogeneous.

So, option (b) is correct.

To know more about Sampling here.

https://brainly.com/question/28975411

#SPJ4

A line passes through the point (9,
- 4) and has a slope of 3/4
Write an equation in slope-intercept form for this line.

Answers

y = 3/4x - 10 3/4 or y = 0.75x - 10.75

when the angle of an incline with a block resting on it increases the normal support force? A) decreases B) increases C) stays the same

Answers

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

consider joining our disc*rd server for unlimited hw help! we also have an active giveaway rn. code: RPEdT3erFm <3

Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Ticket to a baketball game can be ordered online for a et price per ticket plu a $5. 50 ervice fee. The total cot in dollar for ordering 5 ticket i $108. 0. Which linear function repreent c, the total cot, when x ticket are ordered? (A ervice fee i a ingle fee applied to the total, no matter the number of ticket purchaed). C(x) = 5. 50 20. 50x
c(x) = 5. 50x 20. 50
c(x) = 5. 50 21. 60x
c(x) = 5. 50x 21. 60

Answers

The function is: c(x) = 5.50 + 21.60x. This means that for each ticket purchased, an additional $21.60 will be added to the service fee of $5.50.

The total cost for ordering 5 tickets is $108.00. This means that each ticket costs $20.50 plus a service fee of $5.50.

Therefore, we can create a linear function that represents the total cost when x tickets are ordered. The function is: c(x) = 5.50 + 21.60x. This means that for each ticket purchased, an additional $21.60 will be added to the service fee of $5.50.

When x = 5, then c(x) = 5.50 + 21.60x = 5.50 + 21.60(5) = 108.00, which matches the given total cost.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

The data represent the number of mines traveled by 10 delivery drivers in a community for one day.

218,223,211,299,231,245,261,278,212,233

What is the first quartile of miles driven?

A. 218
B. 261
C. 215
D. 232

Answers

The first quartile of miles driven is 218 miles.

What are quartiles in a data set?

Quartiles are three values ​​that divide the sorted data into four parts, each of which has the same observation value.

First quartile: Also known as Q1 or lower quartile. Second Quartile: Also called Q2 or median. Third Quartile: Also known as Q3 or upper quartile.

The four quarters that divide the dataset into quartiles are:

At least 25% of the number.The next lowest 25% of the numbers (up to the median).25% of the second highest number (above the median).Up to 25% of the number.

Let's arrange the data in an order:

211,212,218,223,231,233,245,261,278,299

Since the data has 10 observation, for which the median will be simply the average of two middle terms i.e.5th and 6th term dividing the data in two halves.

Median: 232

First half: 211,212,218,223,231

Second half: 233,245,261,278,299

As, quartiles are the medians of each half,

First quartile: 218

Third quartile: 261

To know more about quartiles, visit:

https://brainly.com/question/28017610

#SPJ1

Use factoring to prove that 16⁵+16⁴ is divisible by 17.

Answers

Answer:

To prove that 16^5+16^4 is divisible by 17 using factoring, first rewrite the expression 16^5+16^4 using the distributive law as 16^4*(16+1). Then, note that 16+1 is divisible by 17. Since 16^4 is also divisible by 17, the expression 16^4*(16+1) is also divisible by 17. Therefore, 16^5+16^4 is divisible by 17.

Solve the equation.

9( x− 2)²-4=14

Answers

Your answer would be x = 2 ± √2

Step-By-Step Solution:

Step one:

9x² - 36x + 32 = 14

Step two:

9x² - 36x + 32 - 14 = 14 - 14

9x² - 36x + 18 = 0

Now we use the quadratic formula.

Step three:

Plug the numbers into the quadratic formula.

x = [tex]\frac{-b±\sqrt{b^{2} - 4ac } }{2a}[/tex]

x = [tex]\frac{-(-36 ± \sqrt{(-36^{2})-4(9)(18 } )}{2(9)}[/tex]

x = [tex]\frac{36 ± \sqrt{648} }{18}[/tex]

x = 2 + √2 or x = 2 - √2

Answer:

(2 + √2; 2 - √2)

--------------------------------

Given equation:

9(x - 2)² - 4 = 14

Solve it in below steps:

9(x - 2)² - 4 = 14                   Add 4 to both sides9(x - 2)² = 18                        Divide both sides by 9(x - 2)² = 2                            Square root both sidesx - 2 = ± √2                          Add 2 to both sidesx = 2 ± √2                            Answer

helloo pls help me!!

Answers

Answer:

l = 2.55 meters

Step-by-step explanation:

Tunnels are usually in cylinder shape

Surface Area of Cylinder:

l = s/(2πr)

l = 48/(2π(3))  ==> plug in known values

l = 48/(6π)

l = 8/π  

l = 2.546 meters

l = 2.546 meters

l = 2.55 meters

4
The volume of a spherical balloon (V=4/3pir^3) is increasing at a constant rate of 0.78 inches per minute. At the instant when the radius is 3.20 inches, the radius is
increasing at a rate of…

Answers

The rate at which the radius is increasing is; 0.006 in/min

How to find the rate of increase of radius?

We are given that the formula for the volume of  a spherical balloon is;

V = ⁴/₃πr³

where r is the radius

The volume is increasing at the constant rate of 0.78 inches per minute. Thus;

dV/dt = 0.78

Now, differentiating with respect to t gives;

dV/dt = ⁴/₃(3πr²)(dr/dt)

At radius of 3.2 inches, we have;

0.78 = 4π * 3.2² * dr/dt

dr/dt = 0.78/(4π * 3.2²)

dr/dt = 0.006 in/min

This is therefore the rate at which the radius is increasing.

Read more about rate of radius increase at; https://brainly.com/question/10121754

#SPJ1

Caroline drinks 2 cups of milk per day. She buys 4 quarts of milk. How many days will her 4 quarts of milk last?

Answers

Answer:

4 quarts of milk will last her 8 days.

We can solve this by finding how many cups are in a quart.

1 quart=4 cups

4 quarts= 16 cups

Since Caroline drinks 2 cups a day, divide 16 by 2.

16/2=8

4 quarts will last her 8 days.

Hope this helps! :D

Step-by-step explanation:

find the centroid of the region in the first quadrant bounded by the given curves. y = x8, x = y8

Answers

The centroid of the region in the first quadrant bounded by the given curves is (81/170, 81/170).

In the given question, we have to find the centroid of the region in the first quadrant bounded by the given curves.

The given curves are:

y = x^8, x = y^8

We can write the curves as

y = x^8...........................(1)

y = x^{1/8}.......................(2)

Now putting the value of y from equation 1 in equation 2, we get

x^8 = x^{1/8}

Now simplifying,

x^{64} = x

x^{64}-x = 0

x(x^{63} - 1) = 0

After equating equal to zero,

x = 0, x = 1

My = [tex]\int_{a\rightarrow b}x[f(x)-g(x)]dx[/tex]

My = [tex]\int_{0}^{1}x[x^{1/8} - x^{8}]dx[/tex]

My = [tex]\int_{0}^{1}[x^{9/8} - x^{9}]dx[/tex]

My = [tex][(8/17)x^{17/8} - (1/10)x^{10}]_{0}^{1}[/tex]

My = (8/17)-(1/10)

My = 63/170

Mx = 1/2[tex]\int_{a\rightarrow b}[(f(x))^2-(g(x))^2]dx[/tex]

Mx = 1/2[tex]\int^{1}_{0}[x^{1/4} - x^{16}]dx[/tex]

Mx = 1/2 [tex][(4/5)x^{5/4} - (1/17)x^{17}]^{1}_{0}[/tex]

Mx = (1/2)[(4/5)- (1/17)]

Mx = 63/170

M = [tex]\int_{a\rightarrow b}[f(x)-g(x)]dx[/tex]

M = [tex]\int^{1}_{0}[x^{1/8} - x^{8}] dx[/tex]

M = [tex][(8/9)x^{9/8} - (1/9)x^{9}]^{1}_{0}[/tex]

M = [(8/9) - (1/9)]

M =7/9

Center of mass(x',y') = (My/M, Mx/M)

Center of mass(x',y') = ((63/170)/(7/9), (63/170)/(7/9))

Center of mass(x',y') = (81/170, 81/170)

To learn more about Center of mass link is here

brainly.com/question/23160538

#SPJ4

Hassan buys an apartment for $78 000.

After one year the value decreases by 5%.

Work out the new value of Hassan’s apartment.

Answers

Answer:

3900 is decreased.$74100 is new value

Step-by-step explanation:

5% of 78000 subtracted by 78000...

please answer I have limited time!!!!

Answers

Answer:

First second and third

Step-by-step explanation:

A function can only have one output for every input

Answer:

2, 3, 4

Step-by-step explanation:

an input can only have 1 output

Given that the measurement is in inches find the circumference of the circle to the nearest tenth use 3.14 for

Answers

The circumference of the circle is 25.12 inches

How to determine the circumference?

From the question, we have the following parameters that can be used in our computation:

Radius = 4 inches

The circumference of a circle can be calculated using

C = 2πr

Substitute the known values in the above equation, so, we have the following representation

C = 2 * 3.14 * 4

Evaluate

C = 25.12

Hence, the circumference is 25.12 inches

Read more about circumference at

https://brainly.com/question/12823137

#SPJ1

Select the correct systems of equations. Identify the systems of equations that have a as their point of intersection.

Answers

We can identify a correct system of equations after draw the graph of the system. The point of intersection indicates the correct solution of the system.

What is the system of equation?

Two or more equations which have the same variables, and we can use these all together. The equations are called a set of equations. We get the solution from the system while plotting in the XY coordinate system.

Such as we have two or more linear equations, and we solve each equation and draw a graph for each. We will notice a point of intersection of the straight lines and that refers the solution of the system of equation.

How can we identify a system of equation that have a point of intersection in the graph?

There are many sets or system of equation. Some systems have infinity many solutions and graph of the equations never intersect each other. In the next, there are system of equations such as a set of linear function from where we get a point of intersection after plotting the graphs together. The line of intersection is the correct solution of the system.

On the other hand, there are some sets which have no solution, and they are called inconsistent.

To learn more about system of equations visit:

https://brainly.com/question/13997560

#SPJ4

A parabola is the set of all points in the plane that are equidistant from a fixed point called the ____ and a fixed line called the ____ of the parabola.

Answers

Parabola is a set of all points in a plane that are equidistant from a fixed line (called directrix) and form a fixed point called focus.

3x + 5 < 2x - 8 is:
all values more than -13.
all values less than -13. all values less than 3. all values less than -3.

Answers

Answer:

all values less than -13

Step-by-step explanation:

3x + 5 < 2x - 8

3x + 5 - 5 = 2x - 8 - 5  ==> isolate x by subtracting 5 on both sides

3x < 2x - 13  ==> simplify

3x - 2x < 2x - 2x - 13  ==> subtract 2x from both sides to move x to the left

                                         side of the inequality

x < -13  ==> simplify

Hence, the answer is all values less than -13.

The Valdez family left at noon for a 4-hour trip to viit relative. They topped 1 hour for lunch and 2 hour to viit an amuement park. What time did they get to their relative' houe?

Answers

The Valdez family left at noon for a 4-hour trip to visit relative. They topped 1 hour time for lunch and 2 hour to visit an amusement park.The Valdez family would have arrived at their relative's house at 5 pm.

1. The Valdez family left at noon, so they had 12 hours to get to their relative's house.

2. They stopped for 1 hour for lunch, so they had 11 hours left.

3. They then stopped for 2 hours at the amusement park, so they had 9 hours left.

4. 9 hours later would be 9 pm.

5. However, since it is summer, the clocks are set to daylight savings time and it is currently one hour ahead, so the time is actually 5 pm.

Learn more about time here

https://brainly.com/question/28050940

#SPJ4

The scale below is balancedwhch meas they are equal

The addentical ball and small box weigh the same amount as the big box

How much does each ball weigh?

Answers

Answer:

x weigh of ball

2x+40=160

2x=120

x=60g

The solution is 60 grams

The size of each of the balls is given by the equation x = 60 grams

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 size of the balls be represented as = x

The number of balls = 2

So , the total size of the balls = 2x

Now , the equation will be

The weight of all the elements = 160 grams   equation (1)

The weight is balanced by = 40 grams + 2x   equation (2)

Now , equation (1) = equation (2)

Substituting the values in the equation , we get

160 = 2x + 40

On simplifying the equation , we get

Subtracting 40 on both sides of the equation , we get

2x = 120

Divide by 2 on both sides of the equation , we get

x = 60 grams

Therefore , the value of x is 60 grams

Hence , the size of the ball is 60 grams

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Other Questions
For the following reaction, the reactants are the favored species at equilibrium. Classify each of the reactants and the products based on their strength as Bronsted-Lowry acids or bases.HCN + C9H7N --> aaron douglas, the artist of aspects of negro american life: from slavery to reconstruction, was particularly influenced by which of the following? when the spring is stretched and the distance from point a to point b is 5.3 feet, what is the value of to the nearest tenth of a degree?a. 60.0b. 35.2c. 45.1d. 55.5 please QUICK!Alex, an eighth grader, and Eric, a seventh grader, need to determine who camecloser to their grades state record for the triple jump. Alex jumped 38 feet 11 2/3inches and Eric jumped 36.89 feet. Who was closer to the state record if the eighth grade record is 40.17 feet, and the seventh-grade record is 38 feet 1 3/5 inches? (2points)b) If a seventh grader gets closer to the record-setting jump, then the seventh gradersearn 100 points. If not, the eighth graders earn 100 points. Which grade should beawarded 100 points**? (1 point) The eighth graders should receive 100 points. TRUE/FALSE. it is not permissible for prison officials to place a ban on mail correspondence between prisoners in different facilities. the innocence project lists more than 350 cases in which someone has been exonerated with dna evidence after being convicted of a crime -- often after already having spent many years in prison. in approximately of these cases, the conviction was based, at least in part, on faulty eyewitness testimony. If a firm charges a foreign market a lower price than it charges the domestic market, that firm is said to be ______ its product.Multiple choice question.O disposing ofO dumpingO sellingO transferring illennium Liquors is a wholesaler of sparkling wines. Its most popular product is the French Bete Noire, which is shipped directly from France. Weekly demand is 50 cases Millennium purchases each case for $125, there is a $275 fixed cost for each order (independent of the quantity ordered), and its annual holding cost is 15 percent. What order quantity minimizes Millennium's annual ordering and holding acosts? 309 cases (Round your answer to 2 decimal places.) If Millennium chooses to order 275 cases each time, what is the sum of its "annual ordering and holding costs? $ 4,662 50 (Round your answer to 2 decimal places.) If Millennium chooses to order 100 cases each time, what is the sum of the ordering and holding costs incurred by each case sold? $ 3.04 per case If Millennium is restricted to ordering in multiples of 50 cases (o g. 50, 100, d. 150, etc.), how many cases should it order to minimize its annual ordering and holding costs? 250 cases (Round your answer to 2 decimal places.) Millennium is offered a 5.00 percent discount if purchases at least 1,000 e. cases. If it decides to take advantage of this discount, what is the sum of its annual ordering and holding costs? $ 7,840.00 or 1 3(x2-6)+4xy when x=2 and y=-2 Which of the following are true statements?I. By the Law of Large Numbers, the mean of a random variable will get closer and closer to a specific valueII. The standard deviation of a random variable is never negativeIII. The standard deviation of a random variable is 0 only if the random variable takes a long single valueA. I and IIB. I and IIIC. II and IIID. I, II, and IIIE. None of the above gives the complete set of true responses the following claim is true or false? data normalization is important in preprocessing step, it is used to rescale values to fit in a specific range to assure better convergence during backpropagatio A rocket will launch in 3. 75 hour and the launch time i 11:20 am. What time i it now?? the formula for target sales is: multiple choice (total fixed costs target profit)/contribution margin ratio (total variable costs total fixed costs)/contribution margin ratio (total fixed costs target profit)/unit contribution margin (total variable costs total fixed costs)/unit contribution margin 3. (a) california bank holds $375 million in deposits and maintains a reserve ratio of 5%. show the t-account of the bank Which of the following terms applies to the idea that the government should not interfere with religion?The gender gapReligious affiliationSeparation of church and stateA demographic factor Jia has been diagnosed with schizophrenia. She has recently demonstrated significant social withdrawal symptoms. This is a _____ symptom of schizophrenia g there are 10 clubs on campus. how many ways are there if you want to choose 3 student clubs out of 10 to join? Using the two-step commit presented at the beginning of Chapter 7 in the textbook, describe how to avoid assigning one seat to two persons, as for example in an airplane. That is, list precisely which steps in your opinion the database manager should follow in assigning passengers to seats. piper corp. is operating at 70% of capacity and is currently purchasing a part used in its manufacturing operations for $24 Which of the following are true about two events A and B that can both occur? Choose all that are correct. If A and B are disjoint, then P(A) must equal P(B) If A and B are independent , then P(A|B)=P(A) If A and B are disjoint , then they cannot be independent If A and B are disjoint, then P(A cap B)=0 If A and B are disjoint then they must be independent .