9
R and T are two mutually exclusive events.
P(R) = 0.2 and P(R or 1) = 0.69
Work out P(not T).

Answers

Answer 1

Answer:

P(not T ) =  0.51

Step-by-step explanation:

Step(i):-

Given that the R and T are two mutually exclusive events

P(R∩T) = 0

Addition theorem on probability

P(RUT) =P(R)+P(T) - P(R∩T)

P(RUT) =P(R)+P(T) - 0

P(RUT) =P(R)+P(T)

Step(ii):-

Given P(R) = 0.2 and P(RUT) = 0.69

P(RUT) =P(R)+P(T)

P(T) =  P(RUT) -P(R) = 0.69 -0.2

P(T) = 0.49

P(not T) = 1- P(T)

P(not T ) = 1 - 0.49 = 0.51

Final answer:-

P(not T ) =  0.51


Related Questions

Math
Skip count by tens and fill in the missing numbers.
550, 660 570, 580, 590,
610,

Answers

Answer:

560, 600, 620, 630, 640, 650

Step-by-step explanation:

Just counted from 10, I guess.

Solve x + 1 > 10, x + 11 > 20, and x + 21 > 30. Describe a pattern. Then use the pattern to predict the solution of x + 9,991 > 10,000.

Answers

Answer:

Step-by-step explanation:

find the length of the altitude drawn to the hypotenuse.the triangle is not drawn to scale

Answers

Answer:

4√5

Step-by-step explanation:

Let's call it x

According to Euclidean theorem x^2 = 5×16

x^2= 80 and

x = 4√5

pls helpppppppppp!!!!!!

Answers

Answer:

-100

Step-by-step explanation:

-4 * 5 * 5

Answer:

-100

Step-by-step explanation:

PLEASE EXPLAIN (Arithmetic Sequences )

If u59 = 1/10 and u100 = 1 19/20 for an arithmetic sequence, find the first term and the common difference

Answers

You have to subtract to get the inverse operation

An international company has 22,700 employees in one country. If this represents 23.1 of the company's employees,how many employees does it have in total?

Answers

Answer: 98268

Step-by-step explanation:

Given: In an international company,

Employees in one country = 22,700

If this is 23.1% of the total number of company's employees,

[[tex]1\%=\dfrac1{100}[/tex] , replace 'of' by '×']

i.e. 23.1% of (total employees) = 22700

[tex]\Rightarrow\ \dfrac{23.1}{100}\times\text{(total employees)}=22700\\\\\Rightarrow\ \text{Total employees}=\dfrac{22700\times100}{23.1}\\\\\Rightarrow\ \text{Total employees}=98268.4\approx98268[/tex]

Hence, there are 98268 employees in total.

consider the two functions which statement is true?

Answers

Answer:

A

Step-by-step explanation:

The answer is the rate of change for function A and Function B are the same!

What is the factored form of this expression? 7- 12x+36 А. (x-12)(x-3) B. (x-6)(x+6) c. (x+6) 2 D. (x-62​

Answers

Answer:

Step-by-step explanation:

factored form of x^2 - 12x + 36

(x - 6)(x - 6) or (x - 6)^2

answer is D

7. Solve the proportion w/36 = 5/18 . (1 point)

a. W = 5

b. W = 10

c. W = 15

d. W = 20

Answers

Answer:

B, 10

Step-by-step explanation:

W/36=5/18

W/36=5/18 cress cross

18w=5x36

18w=180

18w/18=180/18

W=10

What is the value of the square root of 72 to the nearest tenth?

Answers

Answer:

8.5

Step-by-step explanation:

Because I used a calculator

The square root of 72 is 8.48528137424 ...

The hundredths digit (8) rounds up.

So the square root of 72 rounded to the nearest tenth is 8.5.

Now you can multiply this to see if the product is near 72.

8.5 times 8.5 is 72.25.

please PlEaSe PLEASE SOLVE THIS!!!! I REALLY NEED HELP ON THIS. In ABC, m

Answers

Answer:

sorry, but there is nothing to answer here :(

Step-by-step explanation:

Answer:

in abc, M???

Step-by-step explanation:

Round 25,000 to the nearest thousand

Answers

The answer would be 2.5

Answer:

25,000

Step-by-step explanation:

Since there are no other numbers before the thousands place, it can be determined that the current thousands place will remain the same.

A tracksuit costs £25. The price goes up by 5%. What is the new price?

Answers

Answer: £26.25

Step-by-step explanation:

10% of £25 = £2.50

Half of £2.50 = £1.25

therefore if you add £1.25 to £25 it equals £26.25

What is the product of one half and two thirds?

Answers

Answer:

Step-by-step explanation:

0.33333333333

Answer: 2/6 or 1/3 as simplest form hope his helps

Image is a triangle with one side labeled as the 3 point 6 feet diameter of a semi-circle. The vertex opposite the semi-circle side is bi-sected by a horizontal line labeled 4 point 8 feet between the semi-circle diameter side and the opposing triangle.
Find the area of the irregular figure (use 3.14 for pi). Show your work. Round to the nearest tenth.

Answers

Answer:

13.7 ft²

Step-by-step explanation:

The figure is made up of two regular shapes.

1. A semi-circle of 3.6 ft

radius = 3.6/2 = 1.8 ft

Area = 1/2 × 3.14 × 1.8²

        = 5.0868 ft²

2. A triangle

Area = 1/2 × base length × height

        = 1/2 × 3.6 × 4.8

        = 8.64 ft²

Area of the irregular shape = 5.0868 + 8.64

                                             = 13.7268 ft²

To the nearest tenth = 13.7 ft²

The area of the irregular figure is 13.7 ft² to the nearest tenth.

What is the area of the triangle?

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

Given that vertex opposite the semi-circle side is bi-sected by a horizontal line labeled 4 point 8 feet between the semi-circle diameter side and the opposing triangle.

A semi-circle of 3.6 ft

The radius = 3.6/2 = 1.8 ft

Then Area = 1/2 × 3.14 × 1.8²

       = 5.0868 ft²

Now triangle area is

Area = 1/2 × base length × height

       = 1/2 × 3.6 × 4.8

       = 8.64 ft²

Area of the irregular shape = 5.0868 + 8.64

                                            = 13.7268 ft²

To the nearest tenth 13.7 ft²

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

The size of a smart TV is measured along the diagonal length.
What is the approximate size, measured to the nearest inch,
of a 30.9 inch by 48.5 inch smart TV screen?
A. 58 inches
B. 64 inches
C. 1,654 inches
D. 3,307 inches

Answers

B. 64 inches! hope this helps :)
64 inches i believe

68.8 rounded to one decimal place is ?

Answers

Answer:

68.8

Step-by-step explanation:

rounding to one decimal place is the same as rounding to the nearest tenth (see attached for reference).

In this case, 68.8 is already expressed as a number with one decimal place. No further manipulation is needed.

kya earned$630 per week . if she worked for 30 hourswhat is her hourly rate

Answers

Answer:

$21

Step-by-step explanation:

630 ÷ 30 = 21

think it's right

Part 1: Check your work now. Use the substitution
method to check when h= 5 will it make this equation
true?
8h + 5 = 6h + 15
Part 2: How much money do both Diego and Jazzy
make after working 5 hours? (Write in complete
sentences)

Answers

Answer:

For part 1, it is true.

2h = 5 x 2 = 10

5 + 10 = 15

For part 2, I don't what your referring to, is it the 8h + 5 = 6h + 15?

Answer:

8h +5=6h+15

8 x 5 + 5= 6 x 5 +15

35= 50

= 35/50

= 7/10

Please help me with this one ☝️

Answers

Answer:

D

Step-by-step explanation:

add them together

Write and simplify this numerical expression. Forty-two divided by seven plus the quantity three divided by six 1. Write the numerical expression. 2. Evaluate within parentheses. 3. There are no exponents to evaluate. 4. Multiply and divide from left to right. 5. Add and subtract from left to right.​

Answers

The write and simplification of the numerical expression is as follows:

The calculation is as follows;

1.  Write the numerical expression.  

[tex]42 \div 7 + (3 \div 6)[/tex]  

2.  Evaluate within parentheses.  

[tex]42 \div 7 + 0.5[/tex]

3.  There are no exponents to evaluate.

4.  Multiply and divide from left to right.  

[tex]6 + 0.5[/tex]

5.  Add and subtract from left to right.  

6.5

Learn more: https://brainly.com/question/1301963?referrer=searchResults

Answer:

6.5

Step-by-step explanation:

Sean prepared 44 kilograms of dough after working 11 hours. How many hours did Sean work if he prepared 48 kilograms of dough? Assume the relationship is directly proportional.

Answers

This is an example of direct variation.

So,      44    48            

           11       x

For this, you have to use the formula, 44x = 48 × 11

= (48 × 11) ÷ 44 = 12

Hence, your answer is 12 hours

1 Camelita nuns the track at her school that is of a milelong. If she runs 4. 3 miles, how many laps did she run?​

Answers

Answer:

3 laps.

Step-by-step explanation:

Hi! I can see how this is tricky, but I was a bit confused by the 4 in "If she runs 4." It says in the problem that the track is a mile long... So if you run the track 3 times, 3 x 1 = 3.

Identify the model that shows 4 items being divided equally among 3 people. How much will each person have

Answers

Answer:

1 1/3 items

Step-by-step explanation:

Total number of items = 4 items

Total number of people = 3 people

4 items = 3 people

To know the number of items each person will get, we can write;

x items = 1 person

Divide both expressions

4/x = 3/1

3x = 4

x = 4/3

Express as mixed fraction;

4/3 = 1 1/3

Hence each person will receive 1 1/3 items

Solve the equation by factoring.
c2 - 2c + 1 = 0

Answers

Answer:

The only solution is c=1

Step-by-step explanation:

c^2 - 2c + 1 = 0

What 2 numbers multiply to 1 and add to -2

-1 * -1 =1

-1 + -1 =-2

( c-1) (c-1)=0

Using the zero product property

c-1 =0  c-1 =0

c=1   c=1

The only solution is c=1

drag the numbers to the boxes to order them from least to greatest value

Answers

Answer:

what numbers?

Step-by-step explanation:

I need help with this!! A good explanation is HIGHLY appreciated! <3

Answers

Answer:

Step-by-step explanation:

1.3-y/0.2=1.8

-y/0.2=0.5

y=-0.1

Answer:

y = -0.1

Step-by-step explanation:

1. subtract 1.3 from both sides 1.3 - y/0.2 - 1.3 = 1.8 - 1.3

2. simplify -y/0.2 = 0.5

3. multiply both sides by 0.2 0.2(-y/0.2) = 0.5 x 0.2

4. simplify -y = 0.1

5. divide both sides by -1 -y/-1 = 0.1/-1

and you’re done! c:

Simplify the expression by using the distributive property.
-2(4x - 10)

Answers

Answer:

-8x+20

Step-by-step explanation:

multiply using the distributive property:)

Answer:

[tex]\huge\boxed{\boxed{-8x+20}}[/tex]

Step-by-step explanation:

Hello.

Please remember that the Distributive Property states that

a(b+c)=ab+ac

Now, simplify:

-2(4x-10)

multiply -2 times 4x and -10:

-8x+20 (a negative times a negative equals a positive only)

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

The tire has a diameter of 33 inches. If the tire rotates one time, about how many inches will the tire travel?

Answers

Answer: 103.62

Step-by-step explanation: 3.14 times 33 is equal to 103.62

Once upon a time, on an island in the middle of an ocean, several tribes lived and fought with each other. A time came when all the tribes agreed to everlasting peace. So, they decided to build a giant monument to celebrate this Peace Treaty. The monument required a certain number of logs, and the tribes had to agree on the number of logs that each tribe was to provide. Had there been two fewer tribes on the island, this number of logs would have been 6. Had there been one more tribe on the island, this number would have been 5. Unfortunately, the tribes could not agree on what number of logs would be fair for the actual number of tribes. So the tribes announced an eternal war - and were not heard from ever again. How many tribes were on the island?

Answers

Answer:

4 tribes. I don't even know how to do this question at all since it's way too difficult for me but this is an attempt.

Step-by-step explanation:

Let's use negative terms.

-2 = 6

-1 = 5

0 = 4

1 = 3

2 = 2

3 = 1

4 = 0

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