P(A)=0.22 and P(B)=0.46
Find P(A OR B)

P(A)=0.22 And P(B)=0.46 Find P(A OR B)

Answers

Answer 1

In general, the probability of a disjunction is

[tex]P(A \lor B) = P(A)+P(B)-P(A\cap B)[/tex]

In this case, A and B are mutually exclusive, so [tex]P(A\cap B)=0[/tex]

This simplifies the formula to

[tex]P(A \lor B) = P(A)+P(B) = 0.22+0.46 = 0.68[/tex]


Related Questions

ASAP‼️‼️‼️
Simplify the expression (x)^2(2xy^3)^5

A. 10x^3y^8
B. 32x^7^15
C. 32x^7y^8
D. 2x^3y^15

Answers

[tex]x^{2} (2xy^3)^5\\x^2(32x^5y^15)\\32x^7y^15[/tex]

your answer is B

solve for y 48= 8/3y ​

Answers

Answer:

y = 18

Step-by-step explanation:

To find the value of y, you must multiply the fraction 8/3 by its reciprocal 3/8 to both sides. That means you do 48 times 3/8 to get your y value. Once you multiply you get 144/8 which simplifies to 18.

which expressions are equivalent to the one above?​

Answers

Answer:

B C and E

Step-by-step explanation:

A is not. -4x/1 is not the same as -1*x/4

B works. The minus sign is taken outside the brackets and 1/4 is put in the brackets. Nothing illegal has been done.

C works. 3 and -x have been put over a common denominator.

D wrong. Were did the minus sign go?

E works

The ratio of lifting force to area is equivalent for all pairs in the table what are the values of x and y?

Answers

The values of x and y are x = 375 square feet and y = 6,300 pounds

To find the values of x and y, we need to determine the ratio of lifting force to area and use it to fill in the missing values in the table.

Given:

- The ratio of lifting force to area is equivalent for all pairs in the table.

Let's calculate the ratio for the given pairs:

1. [tex]\( \frac{125}{1875} = \frac{150}{2250} = \frac{175}{2625} = \frac{250}{3750} \)[/tex]

2. [tex]\( \frac{250}{3750} = \frac{x}{5625} \)[/tex]

3. [tex]\( \frac{250}{3750} = \frac{420}{y} \)[/tex]

From the given pairs, we can observe that the ratio is [tex]\( \frac{250}{3750} \)[/tex] for all of them.

Now, using this ratio, we can find the missing values:

2. [tex]\( \frac{250}{3750} = \frac{x}{5625} \)[/tex]

[tex]\[ x = \frac{250 \times 5625}{3750} = 375 \, \text{square feet} \][/tex]

3. [tex]\( \frac{250}{3750} = \frac{420}{y} \)[/tex]

[tex]\[ y = \frac{3750 \times 420}{250} = 6300 \, \text{pounds} \][/tex]

Therefore, the correct values are:

[tex]\[ x = 375 \, \text{square feet} \][/tex]

[tex]\[ y = 6300 \, \text{pounds} \][/tex]

So, the correct answer is: [tex]\[ \text{Option D: } x = 375 \, \text{square feet} \, \text{and} \, y = 6300 \, \text{pounds} \][/tex]

Complete question:

The area of an airplane's wings is related to the airplane's lifting force, which holds the airplane in the air. The table below lists several wing areas and the corresponding lifting forces. The ratio of lifting force to area is equivalent for all pairs in the table. What are the values of x and y?

AIRPLANE LIFTING FORCE  Area of Wings Lifting Force

125                                           1,875

150                                           2250

175                                           2625

250                                          3750

   x                                          5625

420                                             y

x = 375 square feet and y = 7,500 pounds

x= 335 square feet and y = 6,300 pounds

x= 335 square feet and y = 7,500 pounds

x = 375 square feet and y = 6,300 pounds

Help me !! Accidentally checked in

Answers

Answer:

27 is correct.

Step-by-step explanation:

Answer:   a) 27

Step-by-step explanation:

[tex]81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}}=3^{\frac{12}{4}}=3^3=3\cdot 3\cdot 3=\boxed{27}[/tex]

52) (−18)(7) = A) −120 B) −126 C) 120 D) 126

Answers

Answer:

B

Step-by-step explanation:

Just multiply it, which multiplies up to -126.

Answer:

Positive 126

Step-by-step explanation:

  Because if you multiply a positive with a negative it becomes positive. So -18*7 would equal positive 126

Which of the following transform equals y= x^2 to the graph of y=(x+5)^2?

A: a translation 5 units to the right
B: a translation 5 units to the left
C: a translation 5 units down
D: a translation 5 units up

Answers

b. because x had to do with the line that goes across. so in that case it would be 5units to the left

Answer:

1st question: B 2nd question: C

Step-by-step explanation:

2021 Edge

Each week your science teacher gives a fifteen-point quiz. Your current scores are shown in the table. What is your mean quiz score?


15 11 10 11 14 10 15 10 12

Answers

12

mean is adding all the terms and dividing by number of terms so once you add them all you be 108 and then divide by 9 giving you the mean, 12

Answer:

The mean should be 12.

Step-by-step explanation:

To find the mean of a range of numbers, you must simply add all of the numbers together and divide by how many numbers there are in the group.

In this case, I did 15+11+10+11+14+10+15+10+12, which came to be 108. I divided that by 9, since there are nine numbers, which gave me 12.

Hopefully this helps!

PLZ HELP MEE thxxx :)

What value is equivalent to 13 − 2(1 − 15) ÷ 4?
A) -38.5
B) -26
C) 7.25
D) 20

Answers

ANSWER

D) 20

EXPLANATION

The given expression is

13 − 2(1 − 15) ÷ 4

Use PEDMAS,

Deal with the parenthesis first.

[tex]13 - 2( - 14) \div 4[/tex]

This gives us,

[tex]13 + 28 \div 4[/tex]

Next Divide :

[tex]13 + 7[/tex]

Next add to obtain,

[tex]20[/tex]

The correct choice is D.

which of the following is an arithmetic sequence 1,5,25,625 -4,-7,-10,-13,16 2,5,10,15 3,-3,3,-3,3

Answers

Answer:

The correct answer is -4,-7,-10,-13,-16

Step-by-step explanation:

a=-4

-4+t=-7

t=-7+4

t=-3

which is true for all values.

Arithmetic sequences are sequences with a constant difference between terms. The given sequences were analyzed to identify arithmetic sequences.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. To identify an arithmetic sequence ,, we look for a common difference between terms. Let's analyze each sequence:

1, 5, 25, 625: This is an arithmetic sequence because each term is obtained by multiplying the previous term by 5.-4, -7, -10, -13, 16: This is not an arithmetic sequence as the difference between terms is not constant.2, 5, 10, 15: This is not an arithmetic sequence as the difference between terms is not constant.3, -3, 3, -3, 3: This is not an arithmetic sequence as the difference between terms is not constant.

I need help with 6, 7, and 8.

Answers

[tex]cos\ u=-\dfrac{15}{15}\implies sin\ u=\dfrac{\sqrt{210}}{15}\\\\sin\ v=-\dfrac{5}{13}\implies cos\ v=-\dfrac{12}{13}[/tex]

6.Answer: [tex]\bold{\dfrac{12\sqrt{15}+5\sqrt{210}}{195}}[/tex]

Step-by-step explanation:

[tex]cos(u+v)=cosu\cdot cosv-sinu\cdot sinv\\\\.\qquad\qquad=\dfrac{-\sqrt{15}}{15}\cdot \dfrac{-12}{13}-\dfrac{\sqrt{210}}{15}\cdot \dfrac{-5}{13}\\\\\\.\qquad\qquad=\dfrac{12\sqrt{15}}{195}+\dfrac{5\sqrt{210}}{195}\\\\\\.\qquad\qquad=\boxed{\dfrac{12\sqrt{15}+5\sqrt{210}}{195}}[/tex]

7.[tex]\bold{\dfrac{-12\sqrt{210}-5\sqrt{15}}{195}}[/tex]

Step-by-step explanation:

[tex]sin(u-v)=sinu\cdot cosv-cosu\cdot sinv\\\\.\qquad\qquad=\dfrac{\sqrt{210}}{15}\cdot \dfrac{-12}{13}-\dfrac{-\sqrt{15}}{15}\cdot \dfrac{-5}{13}\\\\\\.\qquad\qquad=\dfrac{-12\sqrt{210}}{195}-\dfrac{5\sqrt{15}}{195}\\\\\\.\qquad\qquad=\boxed{\dfrac{-12\sqrt{210}-5\sqrt{15}}{195}}[/tex]

8.Answer: [tex]\bold{-\dfrac{19}{67}}[/tex]

Step-by-step explanation:

[tex]tan\ u=-\dfrac{3}{4}\\\\cos\ v=-\dfrac{12}{13}\implies tan\ v=\dfrac{5}{13}\\\\\\\\tan(u+v)=\dfrac{tan\ u+tan\ v}{1-tan\ u\cdot tan\ v}\\\\\\.\qquad\qquad=\dfrac{\frac{-3}{4}+\frac{5}{13}}{1-(\frac{-3}{4}\cdot \frac{5}{13})}\\\\\\.\qquad\qquad=\dfrac{\frac{-39}{52}+\frac{20}{52}}{\frac{52}{52}+\frac{15}{52}}\\\\\\.\qquad\qquad=\boxed{-\dfrac{19}{67}}[/tex]

What is the mean absolute definition of the data set? {12,4,30,16,18} ??

Answers

Answer:

the answer is 16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

add the the numbers and divide the sum by how many numbers are given

Use your expression to find the total cost for ordering 4 tickets online. Show your work.

Answers

$10.0000000000000000000

10.00

#9. Find the area of the triangle. Thanks!

Answers

Answer:

C

Step-by-step explanation:

The area (A) of the triangle is calculated using

A = [tex]\frac{1}{2}[/tex] ab sinC

where a, b are the 2 sides and C is the angle between them

here a = 9, b = 15 and C = 70°, hence

A = 0.5 × 9 × 15 × sin70° = 63.4 cm² → C

Answer:

C.[tex]63.4cm^2[/tex]

Step-by-step explanation:

I love trigonometry

the area of a triangle is equal to [tex]\frac{1}{2}*a*b*sinC[/tex]

we have a b and Angle C so just put that in the formula :)

[tex]\frac{1}{2}*9*15*sin70\\[/tex]

[tex]63.4cm^2[/tex]

Which equation is equivalent of log x^36 =2

Answers

What are the other equations to compare it to ?

Answer:

here x =6

which gives equivalent equation

[tex]log_{6} 36 = 2[/tex]

Step-by-step explanation:

[tex]log_{x} 36 = 2[/tex]

      36 = [tex]x^{2}[/tex]

solving it we get ,

x =+6 and x =-6

since x is the base of log so it cannot be negative

therefore x =6

therefore this equation can be

[tex]log_{6} 36 = 2[/tex]

In two or more complete sentences, explain how to solve the cube root equation, .^3√x-1+2=0

Answers

Answer:

[tex]x= -7[/tex]

Step-by-step explanation:

We need to solve the following root equation:

[tex]\sqrt[3]{x-1} + 2 = 0[/tex]

1. First, we need to add minus two to both sides of the equation:

[tex]\sqrt[3]{x-1}= -2[/tex]

2. Elevate each side of the equation to the power of 3:

[tex]x-1= -8[/tex]

3. Solve for 'x':

[tex]x= -8 + 1[/tex]

[tex]x= -7[/tex]

Therefore, the result is:

[tex]x= -7[/tex]✔️

In the number 4,444.444, how does the 4 in the tenths place compare to the 4 in the place to its right?

Answers

the 4 in the tens place is 10 times the 4 in the ones place

The 4 in the tenth place is the product of 10 and the 4 to its right

How to interpret the place value?

The number is given as:

Number = 4,444,444

The 4 in the tenth place is:

40

The 4 to its right is:

4

Divide both numbers

40/4 = 10

Hence, the 4 in the tenth place is the product of 10 and the 4 to its right

Read more about place values at:

https://brainly.com/question/12386995

#SPJ2

please help ^-^ 1. 23 = x – 9.5 2.12 = k – 4.3

Answers

Answer:

1. 32.5

2. 16.3

Step-by-step explanation:

This is algebra. We need to find the unknown values.

1. 23 = x – 9.5

  Adding 9.5 on both sides of the equation

  23 + 9.5 = x – 9.5 + 9.5

  32.5 = x

x = 32.5

2. 12 = k – 4.3

Adding 4.3 on both sides of the equation

12 + 4.3 = k – 4.3 + 4.3

16.3 = k

k = 16.3

At a middle school, 39% of the students jog and 35% of the student do aerobic exercise. One out of every five students who do aerobic exercise also jogs.

Answers

what's the question????

Given: circle k(O), mAB =(6x−50)°, m∠BCA=(2x)°

Find: m∠BAC

Answers

Answer:

40°

Step-by-step explanation:

arc AB has twice the measure of the inscribed angle BCA that intercepts it, so we have the relation ...

(6x-50)° = 2(2x)°

2x -50 = 0

2x = 50

So, angle BCA has measure 50°. Since AC is a diameter, angles BCA and BAC are complementary. Thus ...

m∠BAC = 90° - m∠BCA = 90° - 50°

m∠BAC = 40°

Theos kitchen is 192 square feet. a blueprint of his kitchen is created with the scale 1 inch : 4 feet. what is the area of the kitchen on the blueprint​

Answers

Answer:

12 square inches

Step-by-step explanation:

The scale of an area is the square of the scale of a linear measurement.

The scale of the areas is (1 inch)^2 : (4 feet)^2 which is the same as

1 inch^2 : 16 feet^2

192/16 = 12

12 inch^2 : 192 feet^2

Answer: 12 square inches

-8x – 17 = -4(2x – 1) – 21

Answers

Answer:

infinite solutions

Step-by-step explanation:

Distribute the left side and simplify

- 8x - 17 = - 8x + 4 - 21

- 8x - 17 = - 8x - 17

Since both sides are equal the equation has infinite solutions

Plz help me!!!!!!!!!!

Answers

Answer:

B) irrational

Step-by-step explanation:

It can not be imaginary, because imaginary numbers are √(negative number).

It can not be rational, because the cube root of 11 can not be displayed as a repeating or ending number (it's 2.22398009... by the way).

The only option is irrational.

Answer:   irrational

Step-by-step explanation:

[tex]\sqrt[3]{11} = 2.2239800905693152........\\\\\text{It has a decimal that never terminates (ends) or r e p e a t s, so it is an}\\\text{irrational number.}[/tex]

A point located at (0, -6) is the same distance from 0 as the point located at (0, 6). True or False

Answers

Answer:

true

Step-by-step explanation:

For which intervals is the function increasing?
Select each correct answer.

Answers

(0,1) (2, infinity). It's when the function is going up.

Answer:

The function increase between 0 and 1, and from 2 to infinity.

Step-by-step explanation:

Any one variable function f(x) increases when f(x2) is greater than f(x1), where x2 is greater than x1. For example, in the plot it can be seen that for x2 = 1, f(x2) = 1 and for x1 = 0, f(x1) = 0. So, between points 0 and 1, the function increase. Also, from 2 onwards, the function increase their values.

Choose as many answers as apply.

When purchasing a car, three sources for determining the manufacturer's invoice for the basic vehicle include:

libraries
newspaper advertisements
bookstore
various web sites

Answers

When purchasing a car, consider using libraries, newspaper advertisements, and various websites to determine the manufacturer's invoice.

When purchasing a car, three sources for determining the manufacturer's invoice for the basic vehicle include:

Libraries

Newspaper advertisements

Various websites

Utilizing these sources can help buyers obtain accurate pricing information before making a purchase decision.

The sources for determining the manufacturer's invoice for the basic vehicle include:

- Libraries

- Various websites

When purchasing a car, determining the manufacturer's invoice price for the basic vehicle can be crucial for negotiating a fair deal. Libraries offer access to automotive reference materials and pricing guides, providing reliable information on invoice prices. Similarly, various websites dedicated to car pricing, such as manufacturer websites, automotive research sites, and online marketplaces, offer up-to-date invoice pricing data. These sources compile information from manufacturers and dealerships, ensuring accuracy and comprehensiveness. Newspaper advertisements and bookstore resources, however, typically focus more on retail prices and promotions rather than invoice pricing. Therefore, while they may provide some insight into car pricing trends, they are not typically the primary sources for determining the manufacturer's invoice price. Utilizing libraries and online resources ensures consumers have access to accurate and detailed invoice pricing information, empowering them to make informed decisions when purchasing a car.

fill in the blank to make the two fractions equivalent.
[tex] \frac{7 }{9} = \frac{?}{36} [/tex]

Answers

28

You multiply 9 by 4 to get 36, so multiply 7 by 4 to get 28.

The mean of the data set is 40 and one standard deviation is 5. About what percent of the numbers fall between 35 and 50?

53.2%
68.2%
77.4%
81.8%

Answers

Answer:

The correct option is D. 81.8%

Step-by-step explanation:

Mean of the data set is given to be 40

⇒ μ = 40

Standard deviation of the data set is given to be 5

⇒ σ = 5

Now we are supposed to find out what percent of the numbers fall between 35 and 50

[tex]\implies z =\frac{x-\mu}{\sigma}[/tex]

Now for P(35 < x < 50) :

Substitute x = 35 ⇒ z = -1

Substitute x = 50 ⇒ z = 2

So, P(-1 < z < 2) = P(z < 2) - P(z < -1)

⇒ P(-1 < z < 2) = 0.9772 - 0.1587

⇒ P(-1 < z < 2) = 0.8185

⇒ P(-1 < z < 2) = 81.8%

Therefore, 81.8% percent of the numbers fall between 35 and 50

Hence, The correct option is D. 81.8%

which rule matches the function shown on the table?

Answers

Answer:

First of all the rate of change is -2, so the answer would be y = x - 2

Eight travelers sleeping in a hostel are snoring The hostel has 15 sleeping travelers. How many travelers are not snoring?

Answers

Answer:7

Step-by-step explanation:

There are 15 sleeping and only 8 snoring you subtract 8 from 15 which leave you with 7 and that's how many people

By subtracting the number of travelers snoring (8) from the total number of travelers (15), we determine that there are 7 travelers not snoring.

To find out how many travelers in the hostel are not snoring, we will subtract the number of travelers who are snoring from the total number of travelers. The problem states that 8 travelers are snoring, and there are 15 travelers in total. So, we perform the following calculation:

Total travelers - Travelers snoring = Travelers not snoring

15 - 8 = 7

Thus, there are 7 travelers who are not snoring.

Other Questions
What is the BEST word to describe the probability that the spinner will stop on 3 or 4? A) certain B) unlikely C) impossible D) very likely ANSWERthe answer is C.. What was one major consequence of russia's victories against austriahungary on world war I's eastern front Out of 54 randomly chosen football players in a football league, 11 said they were going to attend camp there are 810 players in the entire leagueHow many players in the league would you expect to attend camp?A 54B 437 C 165D 20 The process by wich a solid changes to a liquid is According to Sartre, which of the following terms refers to the experience of God's nonexistence and the repercussions of the knowledge that we alone are totally responsible for our choices?anguishdespairforlornnessquietism The climate region labeled with the number one on the map above is the __________ region.A.MediterraneanB.humid subtropicalC.marine west coastD.humid continental Brady and 3 friends went to lunch at Mazzios Pizza. Their meal cost $32, and they left a 15% tip. How much was the total bill, including tip? What is the first term when applying Binomial theorem Need steps for both questions Analyze how each of the following influences supports or challenges your beliefs, practices, and behaviors with respect to drug abuse. Be sure to include whether each influence is positive or negative. (10 points) Which is a tool used by scientists to determine the composition of objects?A. a hologramB. a spectrometerC. a wave frontD. a prism How do I show my work?? Mack bought two CDs for $14.50 each, one wallet for $12.00, and four picture frames at $7.50 each. What is the average cost of each item rounded to the nearest dollar? Compared with higher inflation rates, a lower inflation rate will the after-tax real interest rate when the government taxes nominal interest income. this tends to saving, thereby the quantity of investment in the economy and the economy's long-run growth rate. solve 41x-17y=99 17x-41y=75 Why does the government impose excise taxes? Jason has two bags with 6 tiles each. Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing an even tile from the first bag and an even tile from the second bag? What time does the clock in the image show?A. Es la una de la tarde.B. Son las dos de la maana.C. Son las once.D. Es la medianoche. At a neighborhood park, there are 11 spaces for bicycles on a rack by the basketball court. The bicycle rack by the playground has 3 times as many spaces for bicycles as the one by the basketball court. What equation can be used to find the total number of bicycles spaces on the rack by the playground? 8.....,,,,,,,,,,,,,,,, Steam Workshop Downloader